1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
|
*** START OF THE PROJECT GUTENBERG EBOOK 47403 ***
Title: Children Above 180 IQ Stanford-Binet: Origin and Development
Author: Leta S. Hollingworth
Original publisher: World Book Company
Copyright 1942.
About the online edition.
Italic text is represented as _italics_. Underlined text is
represented as __underline__. Subscripts are represented as
#subscripts#. Footnotes are collected at the end of each chapter.
Transcriber's notes and translations, in letters, have been added
and collected at the end of the chapter, after the footnotes.
[Single-brackets] in the original text have been changed to
[[double-brackets]] to distinguish from edits within this version
of the text. #Single pound signs# in the original text have been
changed to ##double pound signs##, to distinguish from #subscript
text#.
CHILDREN ABOVE 180 IQ STANFORD-BINET: ORIGIN AND DEVELOPMENT
FOREWORD
Shortly after the year 1924 Leta S. Hollingworth prepared a
manuscript on "Children above 180 IQ (Stanford-Binet)" in which
she surveyed the material on the topic available up to that date
and added accounts of five cases which she had studied individually.
[1] As the years went by she held back the manuscript from
publication and one by one she found seven more cases to be
included in her list. At the time of her death in 1939 she had
begun to revise this manuscript, bringing the survey up to date
and adding the new cases. The present book gives as much of this
revision from her own hand as is available. The Preface and
Chapters 1, 2, and 3 are as she wrote them. The accounts of the
first five cases are given just as she originally wrote them
up, but to them "editorial supplements" have been added in which
an endeavor has been made to present for each case such data as
have been found in her files, with little in the way of discussion
or interpretation.
The seven new cases which the original author had intended to
include in the manuscript she had not yet written up. For these,
therefore, it has been necessary to study the data she had
accumulated for each child, to secure additional data when and
where possible, and to present such an account of each as she
might herself have written, patterned after her reports of the
earlier cases.
Much is lost that would have been contributed had the author lived
to complete her project. She knew these cases intimately and at
first hand. Some of them she had followed for as long as twenty
years, taking a personal interest in the individual children and
their problems, advising them, assisting them, continuously
observing them, and frequently testing and measuring them.
Particularly inadequate must be the accounts of the later
development of the individuals herein described, for many of the
details well known to the author she not committed to paper, since
she fully expected to complete the manuscript herself. It is to be
regretted that a follow-up study of these recent developments
could not have been undertaken, and a hope is expressed that this
may yet be done.
The chapters summarizing the group of twelve new cases are wholly
without Leta S. Hollingworth's touch. It seemed desirable, however,
to give such a summary as could be made under the circumstances.
Had the original author been able to complete her book, we know
that penetrating light would have been thrown on many of the more
personal difficulties of these children of rare intelligence. This
experience and insight can no longer be recovered. It must suffice
to put on record chiefly the factual data now available, leaving
it for future workers to follow up, if it should seem desirable,
the subsequent career and destiny of the individuals whose early
development and background are herein reported. Identification of
these children is not made in this book, but the necessary facts
for this purpose are on file and identification can be made at any
time in the interests of educational research.
The third section of this book as originally outlined by Leta S.
Hollingworth was to have dealt with general principles and with
the social and educational implications of the study of children
of very high intelligence. Up to the time of her death nothing
of this character had been written by her explicitly, but throughout
the years in which her projected book was developing she wrote a
number of papers and reports bearing on the subject, and these
were published from time to time in technical journals. It is well
known that the content of these papers was dictated by her study of
such cases as are herein reported, by her familiarity with the
reports of other students in this field, and by her own very
concrete and long experience in the organization and conduct
of two experimental projects in the schools of New York City.
It is, in fact, likely that the final chapters she had in mind
for this book would have been a reorganization of the conclusions
set forth in these articles.
Consequently, the last five chapters of this book, instead of being
an attempt to guess at what the author might have said in them, are
all from her own hand. They are either selections from or complete
reproductions of papers she had published on what she considered
to be the implications of her observations of children of rare
intelligence.
The publication of this book has been made possible by funds
granted by the Carnegie Corporation of New York. That Corporation
is not, however, the author, owner, publisher, or proprietor of
this publication, and it is not to be understood as approving by
virtue of its grants any of the statements or views expressed
herein.
Harry L. Hollingworth
Barnard College
Columbia University, New York
[1] Chapter 9 of _Gifted Children_, published in 1926, bears the
title "Children Who Test above 180 IQ (Stanford-Binet)." Some of
the cases described more fully in the monograph manuscript are
also sketched in that chapter.
CONTENTS
PREFACE
PART I: ORIENTATION
1. THE CONCEPT OF INTELLECTUAL GENIUS
Concepts of the Ancients, Dictionary Definitions, Concepts of
Genius, Miscellaneous Observations Tending to Define Characteristics
of Genius, Speculation and Comment Concerning Genius
2. EARLY SCIENTIFIC STUDY OF EMINENT ADULTS
Origin of Eminent Adults, Yoder's Study, Terman's Inferences
from Biography
3. PUBLISHED REPORTS ON TESTED CHILDREN
Modern Approach to the Study of Ability, Binet's Method, The Range
of Intellect above 180 IQ, Children Observed before the Era of
Binet, Children Who Test above 180 IQ by Binet-Simon Tests, Children
Who Test above 180 IQ by Stanford-Binet Tests, Generalizations
PART II: TWELVE CASES NEW TO LITERATURE CONCERNING TESTED CHILDREN
4. CHILD A
Family Background, Preschool History, School History, Judgments
of Teachers, Mental Measurements, Traits of Character, Physical
Measurements and Health, Miscellaneous Characteristics
5. CHILD B
Family Background, Preschool History, School History, Traits of
Character, Judgments of Teachers, Mental Measurements, Physical
Measurements, Miscellaneous Characteristics
6. CHILD C
Family Background, Preschool History, School History, Traits of
Character, Mental Measurements, Physical Measurements, Later
School History
7. CHILD D
Family Background, Preschool History, Traits of Character, Mental
Measurements, Physical Measurements and Health, Miscellaneous
Characteristics, School History
8. CHILD E
Family Background, Early History, School Achievement, Mental
Measurements, Social Habits, Tastes, etc., Later Mental Measurements,
Later Physical Measurements, Later Scholastic Records, Extracurricular
Activities, Teachers' Comments, Summary up to 1921, Eventual
Scholastic Records, Researches of E, Summary of Development
9. CHILD F
Family Background, Preschool History, Early School History, Early
Test Scores, Home Rating, Miscellaneous Characteristics, Later
Educational Career
10. CHILD G
Family Background, Educational History, Early Mental Tests,
Later Test Records, Traits of Character, Physical Measurements,
High School Record, G's Brother's Record
11. CHILD H
Family Background, Preschool History, Mental Measurements, Physical
Measurements, Intellectual Ability
12. CHILD I
Family Background, Preschool History, Early Educational History,
Mental Measurements, Physical Measurements and Health, Miscellaneous
Characteristics
13. CHILD J
Family Background, Childhood Characteristics, Later Mental Tests
14. CHILD K
Family Background, Early Development, Mental Measurements, Physical
Measurements, Later Educational Progress
15. CHILD L
Family Background, Early History, Achievement at Speyer School,
High School Record to Date of Writing, Later Tests and Inventories
16. SUMMARIES OF HEREDITIES AND EARLY BEHAVIOR
Family History and Background, Physical and Behavioral Development
17. SCHOLASTIC ACHIEVEMENT AND CREATIVE ACTIVITY
Scholastic Achievement and Educational Adjustment, Creative Work,
General Statement
PART III: GENERAL PRINCIPLES AND IMPLICATIONS.
18. ADULT STATUS AND PERSONALITY RATINGS.
Adult Status of Highly Intelligent Children, Critique of the
Concept of "Genius" as Applied in Terms of IQ, Application of
Bernreuter Inventory of Personality to Highly Intelligent Adolescents
19. THE DEVELOPMENT OF PERSONALITY IN HIGHLY INTELLIGENT CHILDREN
General Considerations, The Part Played by Physique, Problem
of Leadership, Problems of Adjustment to Occupation, Learning
to "Suffer Fools Gladly", The Tendency to Become Isolated, The
Concept of "Optimum Intelligence", Conclusion
20. THE CHILD OF VERY SUPERIOR INTELLIGENCE AS A SPECIAL PROBLEM
IN SOCIAL ADJUSTMENT
The Quality of Gifted Children, The Problem of Work, The Problem
of Adjustment to Classmates, The Problem of Play, Special Problems
of the Gifted Girl, Problems of Conformity, The Problems of Origin
and of Destiny, General Considerations
21. THE ELEMENTARY SCHOOLING OF VERY BRIGHT CHILDREN
Considerations in Planning the Curriculum, Enrichment Units at
Speyer School, Special Work, Emotional Education, Matters of
General Policy
22. PROBLEMS OF RELATIONSHIP BETWEEN ELEMENTARY AND SECONDARY
SCHOOLS IN THE CASE OF HIGHLY INTELLIGENT PUPILS
The Elementary School, Transition from Elementary to Secondary
School, Consideration of the Questions Arising, What about Genius?
PREFACE
This study is founded upon the work of Francis Galton, on the one
hand, and of Albert Binet, on the other. It goes back to Galton's
_Hereditary Genius_, read as a prescribed reference in the courses
of Professor Edward L. Thorndike, in 1912; and to the publication
in 1916 of Professor Lewis M. Terman's _Stanford Revision of the
Binet-Simon Scale for Measuring Intelligence_. It comprises
observations, measurements, and conversations covering a period of
twenty-three years, during which acquaintanceships and friendships,
every one of them delightful, have been formed and maintained
with the twelve individuals who form the basis of the study.
It was in November, 1916, shortly after taking appointment as
instructor in educational psychology at Teachers College, Columbia
University, that I saw for the first time a child testing above
180 IQ (S-B). I was teaching a course in the psychology of mentally
deficient children, and it seemed to me that my class should if
possible observe under test conditions one bright child for the
sake of contrast. Accordingly, I asked whether any teacher present
could nominate a very intelligent pupil for demonstration.
Miss Charlotte G. Garrison and Miss Agnes Burke, teachers in the
Horace Mann School, Teachers College, New York City, thereupon
nominated the child who is called E in this monograph. E was
presented at the next meeting of the class. It required two
full classroom periods to test this child to the limits of the
Stanford-Binet Scale, which had just then been published. E
exhausted the scale without being fully measured by it, achieving
an IQ of _at least_ 187. He was on that date 8 years 4 months old.
This IQ of at least 187 placed E in Galton's Class X of able
persons; i.e., more than six "grades" removed from mediocrity.
Taking 1 PE#dis# as one "grade," it placed him _at least_ plus 11
PE from the norm; for 1 PE (Probable Error) equals 8 IQ, according
to Terman's original distribution of 905 school children. [1]
This appeared as sufficiently striking to warrant permanent
recording, since it would rate E as one in a million for statistical
frequency, assuming "zeal and power of working" to be also
abundantly present.
I did not at that time have any expert knowledge of highly
intelligent children. I had been working for some years in the
hospitals of New York City with persons presented for commitment
to reformatories, prisons, and institutions for mental defectives.
I had tested thousands of incompetent persons, a majority of them
children, with Goddard's Revision of the Binet-Simon Scale,
scarcely ever finding anyone with an IQ rating as high as 100. This
thoroughgoing experience of the negative aspects of intelligence
rendered the performance of E even more impressive to me than it
would otherwise have been. I perceived the clear and flawless
working of his mind against a contrasting background of thousands
of dull and foolish minds. It was an unforgettable observation.
I then began to look for children like E, to observe them with
reference to the principles of education. This search has been
conducted in a desultory manner, in "odd" moments, ever since 1916.
At times, as in 1922-1923 and in 1935-1936, when pupils were being
sought for special classes at Public School 165, Manhattan, or at
Public School 500, Manhattan, the search has been systematic.
Usually, however, the quest has been quite otherwise, for in the
course of long searching I have learned that it is nearly useless
to _look_ for these children, because so few of them exist. In
twenty-three years' seeking in New York City and the local
metropolitan area, the densest center of population in this country
and at the same time a great intellectual center attracting able
persons, I have found only twelve children who test at or above
180 IQ (S-B). This number represents the winnowing from thousands
of children tested, hundreds of them brought for the testing
because of their mental gifts. Of course there were and are
others who have not been found, since [this] search has never
been exhaustive.
The most interesting part of this research is yet to come, in the
form of a record of the mature performances of these gifted persons
observed in childhood. However, I propose to make a report now of
origin and development; to be followed, if I live so long, by
further reports of adult status. Such researches require more than
the life span of one investigator, since time is of the essence
of the task. Universities should make provision for institutional
prosecution of these long-time studies as distinguished from
individual prosecution. In any case, I shall try to leave the
records to some younger student who will comprehend them, and
who will amplify them if I prove unable to do so myself.
Galton, in his efforts to understand ability, was limited to
the study of the eminent adult, dead and gone. The only test
he could use was that of reputation, for at the time he was at
work on the problem, mental measurement had not yet been developed
as a technique. He wished for a more valid method of gauging
ability, and he fully realized that it would be of greater
advantage to study "the living individual." "Is reputation a fair
test of natural ability?" he asked. "It is the only one I can
employ . . . am I justified in using it? How much of a man's
success is due to his opportunities, and how much to his natural
power of intellect?"
Galton's work was finished before Binet's studies made it possible
to measure natural ability apart from reputation; and what is most
essential of all, to measure _natural ability in childhood_. It
was Binet's great and original service that he rendered it possible
to determine accurately the permanent intellectual caliber of an
undeveloped human being. It has always been possible to appraise
the ability of people forty or fifty years old, after they have
met "the tests of life," but for the pursuit of education and
social science it is not very practically useful to know what a
person is like only at the end of his life. It is essential,
rather, to know with a high degree of precision and certainty the
mental endowment of persons at the beginning of their lives if
anything is to be done in the matter of special training for
special children.
The facts derived from the study of the twelve exceptional persons
herein described, and from the study of others like them, and
the principles deduced from these facts, are of that order of
importance for social science which Galton ascribed to them.
Nevertheless, to hear of the tremendous differences between the
dullest and the most intelligent individual, between the average
man and the person who falls more than +10 PE away from him in
mental ability, is extremely tedious to the typical American
listener. This is only too well known to one who has long tried
to interest foundations and moneyed persons in the education of
gifted children. There is an apparent preference among donors for
studying the needs and supporting the welfare of the weak, the
vicious, and the incompetent, and a negative disregard of the
highly intelligent, leaving them to "shift for themselves."
Perhaps a wider dissemination of facts such as have been adduced
in the studies of Professor Lewis M. Terman and other educators,
and in this study, may eventually bring about a more constructive
point of view, one more conducive to a recognition of national
welfare involved in educational plans for the unusual student.
It is desirable in this introduction to make known some of the
etiquette and ethics involved in the scientific study of very
gifted children. This is a new area in the field of human
relationships and the investigator who works within it comes
rather frequently upon certain questions of good manners which
do not arise in any other field of psychological research.
For instance, persons who test above 180 IQ (S-B) are almost sure
to read and recognize in books and articles whatever has been
written about them, no matter how anonymously they may have been
described. This is true of them even as children. When the book
_Gifted Children_ was published, in 1926, Child A, who is described
therein as well as in these pages, was thirteen years old. He read
the book within two weeks of publication; for, as he said in
mentioning the matter to the author, "I go every week to the
Public Library and look first at the shelf of new books." The
problem always in the foreground is how to present the whole
truth about such matters as family history, social-economic
status, and character, without invading the privacy of those
described and without identifying them to the general public
or to curious persons.
Those who test above 180 IQ (S-B) are characterized by a strong
desire for personal privacy. They seldom volunteer information
about themselves. They do not like to have attention called to
their families and homes. They are reluctant to impart information
concerning their plans, hopes, convictions, and so forth. The
question arises, then, how to avoid presumption; for it is by no
means easy for a young person politely to evade an older person
who can lay claim to having known one "all one's life."
Thus, in this study, in order to preserve the privacy of those
concerned, some items have been omitted from the histories which
would have been of interest to students of child psychology.
Let it be understood at once, however, that the omissions include
nothing discreditable to any of the twelve individuals studied;
rather, many of these items are highly creditable. There have been
acts of moral courage, acts of skill, and acts of self-sustaining
heterodoxy that if told at all should be told only by those who
performed the actions. Perhaps autobiographies may some day be
written by these persons, telling whatever they may wish to tell.
In the matter of the attitude of people in general toward gifted
children, there are, of course, a majority who are kindly and
understanding and helpful, but it is a melancholy fact that there
are also malicious and jealous people who are likely to persecute
those who are formally identified as being unusual. It may prove
a handicap rather than a help to a gifted youngster to have been
identified in book or article or school as extraordinary. Some of
the children herein described have suffered considerably from the
malice of ill-mannered persons, even their instructors, who have
felt the impulse to "take them down a peg." Specific instances of
such persecution can be cited from public prints, and reference
will be made to them in the course of this monograph.
It would be of interest to present a photograph of each child
herein observed, to show how in personal appearance they are
diametrically opposite to the popular stereotype of the highly
intelligent child; but photographs would tend to identification.
These questions of what is right and what is wrong, what is
permissible and what is forbidden, in reporting the origin
and development of the gifted cannot be fully determined here.
The policies pursued in this study have been discussed from time
to time with gifted children and their parents, and I have been
guided by their advice. Everything has been presented that is
consistent both with scientific interest and with the preservation
of personal privacy. The work as it stands has taken hundreds
of hours of the time of these children and of their parents
and teachers, over a period of twenty years. They are all very
busy people, yet they have given time and energy for tests,
measurements, and interviews as requested. It is obvious that
without this coöperation no study could have been made.
Leta S. Hollingworth
Teachers College
Columbia University
New York City
[1] EDITORIAL NOTE. The larger and better sampling of subjects
tested for the 1937 Stanford Revision showed a wider variability
than the 1916 group and indicates that the true PE of the IQ
distribution of unselected children is in the neighborhood
of 11 IQ points, according to Terman.
[2] All such records have been deposited in the psychological
laboratory of Barnard College, Columbia University.
PART I
ORIENTATION
CHAPTER ONE
THE CONCEPT OF INTELLECTUAL GENIUS
It would be an ambitious project to find and discuss all the
definitions of genius that have ever been offered in writing.
To do this is beyond our present purpose, which is, rather, to
illustrate the various concepts that have been formulated and to
take guidance from them in the consideration of children of great
ability. It will perhaps be many years before it will be apparent
whether the children studied herein are geniuses or not. Perhaps
this can never be determined, as the word "genius" may eventually
be found to have no meaning that can be agreed upon. All we know
about the status of the subjects of the present study is that
they test above 180 IQ (S-B) and are thus more than +10 PE removed
from mediocrity in general intelligence. [1] It may be possible
to arrive at some comparison between their characteristics and
performances on the one hand, and the concepts of genius that have
been offered on the other.
CONCEPTS OF THE ANCIENTS
The concept of the genius is very ancient. Ovid (12), [2] referring
to Caesar and his preparations to complete the conquest of the
world, notes the manner in which a genius acts in advance of his
years:
Though he himself is but a boy, he wages a war unsuited
to his boyish years. Oh, ye of little faith, vex not your souls
about the age of the gods! Genius divine outpaces time, and
brooks not the tedium of tardy growth. Hercules was still
no more than a child when he crushed the serpent in his baby
hands. Even in the cradle, he proved himself a worthy son
of Jove.
The Greeks called that person's "daemon" which directed and
inspired his creative work. Dictionaries refer to the Roman
concept of genius as "a spirit presiding over the destiny of a
person or a place; a familiar spirit or a tutelary." The genie
was one of the powerful nature demons of Arabian and Mohammedan
lore, believed to interfere in human affairs and to be sometimes
subject to magic control.
Thinkers in any and every field, no matter how remote from that of
psychology, have confidently discussed the nature of genius.
Philosophers, poets, litterateurs, physicians, physiologists,
psychiatrists, anthropometrists, lexicographars, encyclopedists--
all have offered definitions, each according to his light. It has
been deemed a subject on which anyone might legitimately express
an opinion. The result is, as might be expected, an interesting
miscellany of contradictions.
DICTIONARY DEFINITIONS
By derivation the word "genius" means to beget or to bring forth,
coming from _genere_, _gignere_. Samuel Johnson's Dictionary--from
which Galton took his point of departure in choosing the word
"genius" for the title of his work on ability--defines a genius as
"A man endowed with superior faculties."
Funk and Wagnall's Dictionary offers the following definition:
"Very extraordinary gifts or native powers, especially as displayed
in original creation, discovery, expression, or achievement."
Webster's New International Dictionary defines "genius" as
"Extraordinary mental superiority; esp. unusual power of invention
or origination of any kind; as, a man of _genius_."
The Dictionary of Psychology defines "genius" in part in terms of
IQ, but at the same time denies the word any special meaning as
a recognized scientific term: "Genius--a very superior mental
ability, especially a superior power of invention or origination
of any kind, or of execution of some special form, such as music,
painting, or mathematics. . . . It has no special technical
meaning, but has occasionally been defined as equivalent to an
intelligence quotient (IQ) of 140 or above."
Generally speaking, then, dictionaries define genius as a superior
or superlative degree of intellectual capacity, and avoid claiming
it for any concept of an added, different, or abnormal element in
human faculty.
CONCEPTS OF GENIUS
_As a manifestation of abnormal psychology_. A number of thinkers
in fields allied to psychology have laid emphasis upon a supposed
connection between genius and nervous instability or insanity.
This idea is embodied in the statement by Pascal: "L'extrême
esprit est voisin de l'extrême folie." Lamartine refers to "la
maladie mentale qu'on appelle génie." Lombroso (10) is perhaps
the most widely quoted among those who have held or who hold
this point of view.
_As constituting a different species_. The idea has been expressed
by thinkers other than professed psychologists--and at times
by psychologists themselves--that men of genius are a separate
species, partaking of qualities not shared in any degree by
persons at large. This concept is at one with that which would
regard the idiot and the imbecile as distinct in kind, not in
degree only, from the mass of mankind. Genius would thus be not
merely more of the same but a different sort altogether. Thus
Hirsch (7) specifically declares:
The genius differs in _kind_ from the species, man. Genius
can be defined only in terms of its own unique mental and
temperamental processes, traits, qualities, and products. Genius
is another psychobiological species, differing as much from man,
in his mental and temperamental processes, as man differs from
the ape.
_As a hypertrophied and highly specialized aptitude for specific
performance_. The thought has been advanced that intellectual
genius is a matter of specialization; that the mind of a genius
will not, typically, work on all data with superior results,
but that it is adapted only or primarily to certain kinds of
intellectual performance. In other words, the genius is thought
to lack general ability. A recent statement by Carrel (2) seems
to express in part at least this theory:
There is also a class of men who, although disharmonious
as the criminal and the insane, are indispensable to modern
society. They are the men of genius. They are characterized
by a monstrous growth of some of their psychological
activities. A great artist, a great scientist, a great
philosopher, is rarely a great man. He is generally a man of
common type, with one side over-developed.
_As a combination of traits_. Galton (6) thought of genius as that
which qualifies a person for eminence, and he believed that
achieved eminence must be founded on a combination of no less than
three essentials. He wrote:
By natural ability I mean those qualities of intellect and
disposition which urge and qualify a man to perform acts that
lead to reputation. I do not mean capacity without zeal, nor
zeal without capacity, nor even a combination of both of them,
without an adequate power of doing a great deal of very
laborious work. But I mean a nature which, when left to
itself, will, urged by an inherent stimulus, climb the path that
leads to eminence, and has strength to reach the summit . . .
one which, if hindered or thwarted, will fret and strive until
the hindrance is overcome, and it is again free to follow its
labour-loving instinct. It is almost a contradiction in terms
to doubt that such men will generally become eminent.
Again, Galton says:
We have seen that a union of three separate qualities--intellect,
zeal, and power of work--are necessary to raise men from
the ranks.
Lehman (9) has recently expressed this same idea, as a result of a
statistical study of the most productive years of intellectual
workers:
Indeed, it is doubtful that genius is solely the fruit of any
single trait. It is the belief of the writer that the fruits of
genius are, on the contrary, a function of numerous integers,
including both the personal traits of the individual worker,
environmental conditions that are not too hostile, and the
fortunate combination of both personal traits and external
conditions.
_As quantitative_. Galton (6) was the first to place the study of
genius on the basis of quantitative statement, so that comparisons
might be made and vertifications be effected. Galton formulated
the theory that genius (great natural ability) is nothing more
nor less than a very extreme degree in the distribution of a
combination of traits--"intellect, zeal, and power of working"--
which is shared by all in various "grades" or degrees. Reasoning
thus, Galton applied for the first time in human thought the
mathematical concepts of probablity to the definition of genius.
Quetelet (13), drawing objects from congeries of known composition,
had elaborated the form which the probabilities take of drawing
a given combination. This form, with the law of deviation from
the average governing it, is now, of course, a commonplace in
psychological laboratories, so that it is hard to realize that
when Galton made the mental leap from this curve to the abilities
of men, no one had ever thought of human minds as "fitting" the
curve drawn by Quetelet. Such a "fit" had already been thought
of in connection with measurements of physique, and had been
demonstrated for measurements of the shrimp (16) and for physical
traits of persons. But that "natural ability" should be susceptible
to the probability curve and "the curious theoretical law of
deviation from an average" as length is among shrimps, or as
circumference of the chest is among Scottish soldiers (as shown
by Quetelet), was not conceived. With the modern methods of mental
measurement it is easy enough to perceive the truth of this. But
Galton was working in the dark, entirely without instruments
of precision; and his table of frequency "for the classification
of men according to their natural gifts" must be regarded as one
of the most prescient statements in the history of social science.
Working with the tables devised by Quetelet, Galton proposed the
tabular "classification of men according to their natural gifts"
shown [below].
CLASSIFICATION OF MEN ACCORDING TO THEIR NATURAL GIFTS
GRADES OF NATURAL NUMBERS OF MEN COMPRISED IN THE SEVERAL GRADES OF NATURAL ABILITY, WHETHER IN RESPECT
ABILITY, SEPARATED TO THEIR GENERAL POWERS OR TO SPECIAL APTITUDES
BY EQUAL INTERVALS
Below Above Proportionate; In Each Million In Total Male Population of the United Kingdom, Say
Average Average viz., One in of the Same Age 15 Millions, of the Undermentioned Ages
20-30 30-40 40-50 50-60 60-70 70-80
_a_ A 4 256,791 651,000 495,000 391,000 268,000 171,000 77,000
_b_ B 6 161,279 409,000 312,000 246,000 168,000 107,000 48,000
_c_ C 16 63,563 161,000 123,000 97,000 66,000 42,000 19,000
_d_ D 64 15,696 39,800 30,300 23,900 16,400 10,400 4,700
_e_ E 413 2,423 6,100 4,700 3,700 2,520 1,600 729
_f_ F 4,300 233 590 450 355 243 155 70
_g_ G 79,000 14 35 27 21 15 9 4
_x_
All grades All grades
below _g_ above G 1,000,000 1 3 2 2 2 0 0
Interpreting this theoretical tabulation, Galton (6) wrote:
It will be seen that more than half of each million is contained
in the two mediocre classes _a_ and A; the four mediocre
classes _a_, _b_, A, B, contain more than four fifths, and the six
mediocre classes more than nineteen twentieths of the entire
population. Thus, the rarity of commanding ability and the
vast abundance of mediocrity is no accident, but follows of
necessity from the very nature of these things.
On decscending the scale, we find by the time we have
reached _f_ that we are already among the idiots and imbeciles.
We have seen that there are 400 idiots and imbeciles to any
million of persons living in this country; but that 30 per cent
of their number appear to be light cases, to whom the name of
idiot is inappropriate. There will remain 280 true idiots and
imbeciles to every million of our population. This ratio coincides
very closely with the requirements of class _f_. No doubt
a certain proportion of them are idiots owing to some fortuitous
cause . . . but the proportion of accidental idiots cannot
be very large.
Hence we arrive at the undeniable but unexpected conclusion
that eminently gifted men are raised as much above
mediocrity as idiots are depressed below it; a fact that is calculated
to enlarge considerably our ideas of the enormous difference
of intellectual gifts between man and man.
MISCELLANEOUS OBSERVATIONS TENDING TO
DEFINE CHARACTERISTICS OF GENIUS
In addition to the formulation of the rather definite concepts
of genius which have been discussed, there are to be
found in the literature of this topic a large number of general
observations ascribing certain characteristics to persons of
genius. There are also many remarks as to the conditions
of living, of education, of genetics, and so forth, which are
alleged to foster or to hinder the development of genius.
Many of these observations and remarks emanate from others
than professed psychologists, some of the most interesting
coming from litterateurs and philosophers.
One of the most penetrating discussions of genius by a litterateur
is that of Shaw (15) in his Preface to _Saint Joan_. Shaw regards
Saint Joan as a young genius, and in introducing his readers
to this point of view he says:
Let us be clear about the meaning of the terms. A genius
is a person who, seeing farther and probing deeper than other
people, has a different set of ethical values from theirs, and has
energy enough to give effect to this extra vision and its valuations
in whatever manner best suits his or her specific talents.
Here is brought out the tendency to heterodoxy which
characterizes genius and is the source of much of its difficulty.
Shaw dwells upon these difficulties in saying:
But it is not so easy for mental giants who neither hate nor
intend to injure their fellows to realize that nevertheless their
fellows hate mental giants and would like to destroy them, not
only enviously because the juxtaposition of a superior wounds
their vanity, but quite honestly because it frightens them. Fear
will drive men to any extreme; and the fear inspired by a
superior being is a mystery which cannot be reasoned away.
Being immeasurable it is unbearable when there is no presumption
or guarantee of its benevolence and moral responsibility;
in other words, when it has official status.
This is the same trend of thought which Mill (11) follows in his
_Essay on Liberty_, noting the originality that characterizes
genius and the troubles that result from it, and insisting upon
freedom for genius in the interests of the general welfare.
It would not be denied by anybody that originality is a
valuable element in human affairs. There is always need of
persons not only to discover new truths, and point out when
what were once truths are true no longer, but also to commence
new practices, and set the example of more enlightened
conduct, and better taste and sense in human life. . . . It is
true that this benefit is not capable of being rendered by
everybody alike; there are but few persons in comparison with
the whole of mankind, whose experiments, if adopted by others,
would be likely to be any improvement on established practice.
But these few are the salt of the earth; without them, human
life would become a stagnant pool. . . . Persons of genius,
it is true, are and are always likely to be, a small minority;
but in order to have them, it is necessary to preserve the
soil in which they grow. Genius can only breathe freely in an
atmosphere of freedom. Persons of genius are, _ex vi termini_,
more individual than any other people . . . less capable,
consequently, of fitting themselves, without hurtful
compression, into any of the small number of moulds which
society provides in order to save its members the trouble of
forming their own character. If from timidity they consent to
be forced into one of these moulds, and to let that part of
themselves which cannot expand under the pressure remain
unexpanded, society will be little better for their genius. If
they are of strong character, and break their fetters, they
become a mark for the society which has not succeeded in
reducing them to common-place, to point with solemn warning as
"wild," "erratic," and the like; much as if one should complain
of the Niagara River for not flowing smoothly between its
banks like a Dutch canal.
Mill says further:
I insist thus emphatically on the importance of genius, and
the necessity of allowing it to unfold itself freely both in
thought and in practice, being well aware that no one will deny
the position in theory, but knowing also that almost everyone,
in reality, is totally indifferent to it.
Mill, indeed, had much to say about the conditions under which
the exceptional individual contributes to social change and
progress, which bears immediately upon the education of highly
exceptional children.
Bearing further upon the persecution to which genius is
often subject as a penalty for nonconformity, Havelock Ellis
(5) after studying a large number of British men of genius
says:
It is practically impossible to estimate the amount of
persecution to which this group of preëminent persons has been
subjected, for it has shown itself in innumerable forms, and
varies between a mere passive refusal to have anything to do
with them or their work and the active infliction of physical
torture and death. There is, however, at least one form of
persecution, very definite in character, which it is easy to
estimate, since the national biographers have probably in few
cases passed over it. I refer to imprisonment. I find that at
least 160, or over 16 per cent, of our 975 eminent men were
imprisoned, once or oftener, for periods of varying length,
while many others only escaped imprisonment by voluntary exile.
This is a conclusion reached by one investigating the condition
of genius among what are probably the most liberal
people in the world--the British, a nation of protestants.
Another condition of genius frequently alleged is that of
personal isolation. Shaw makes Saint Joan say, "I was always
alone." Schopenhauer (14) says: "It is often the case
that a great mind prefers soliloquy to the dialogue he may
have in the world." Hirsch (7) dwells at some length upon
isolation:
The genius is constantly forced to solitude, for he early
learns from experience that his kind can expect no reciprocation
of their generous feelings. . . . Solitude can best be
defined as the state in which friends are lacking or absent,
rather than as the opposite of sociability. . . . Solitude is
but a refuge of genius, not its goal. Time after time one
detects, from the lives or writings of genius, that solitude is
not its destiny but only a retreat; not the normal fruition of
its being, but an empty harbor sheltering it from the tortures,
griefs, and calumnies of the world. . . . It is a grievous error
to credit the genius with an innate inclination to shun men. But
in his youth he learns by experience that solitude is preferable
to suffocation, stupefaction, or surrender.
Alger (1) sees isolation as a necessary corollary of the
insistence upon perfection and accuracy which characterizes
genius:
A passion for perfection will make its subject solitary as
nothing else can. At every step he leaves a group behind.
And when, at last, he reaches the goal, alas, where are his
early comrades?
These references to the _early_ experience of the genius in
meeting the uncordial response of the world as constituted,
with its resultant tendency to isolation, connect themselves
with an account found in the Apocryphal New Testament, in
a portion called the Hebrew Gospels.
And Joseph, seeing that the child was vigorous in mind and
body, again resolved that he should not remain ignorant of the
letters, and took him away, and handed him over to another
teacher. And the teacher said to Joseph: I shall teach him the
Greek letters, and then Hebrew. He wrote out the alphabet
and began to teaching him in an imperious tone, saying: Say
Alpha. And he gave him his attention for a long time and
he made no answer, but was silent. And he said to him: If
thou art really a teacher, tell me the power of the Alpha and I
will tell thee the power of the Beta. And the teacher was
enraged at this, and struck him.
SPECULATION AND COMMENT CONCERNING GENIUS
The _ecology of genius_ has evoked speculation and comment.
Thus Churchill (3) says:
Mountain regions discourage the budding of genius because
they are areas of isolation, confinement, remote from the great
currents of men and ieas that move along river valleys. They
are regions of much labor and little leisure, of poverty today
and anxiety for the morrow, of toil-cramped hands and
toil-dulled brains. In the fertile alluvial plains are wealth,
leisure, contact with many minds, large urban centers where
commodities and ideas are exchanged.
The _origins of genius_ have also engaged the attention of
speculative thinkers. For instance, Dixon (4) and also
Hirsch (7) offer the hypothesis that racial mixture is an
antecedent of genius. Kretschmer (8) would by inference
subscribe to this theory, since he holds that genetically genius
results from the union of unlike elements, to which he refers
as "bastardization":
The investigation of the family history of highly talented
individuals demonstrates very clearly the effect of biological
"bastardization," and shows why it may lead to the production
of genius. . . . It results in a complicated psychological
structure, in which the components of two strongly opposing
germs remain in polar tension throughout life. . . . This
polar tension acts as an effective and dynamic factor and
produces in the genius the labile equlibrium, the effective
super-pressure, that continuous, restless impulsiveness, which
carries him far beyond placid, traditional practice and the
simple satisfaction of life. On the other hand, in regard to his
intellectual abilities, the polar tension creates in the genius
his wide mental horizon, the diverse and complicated wealth of
his talent, the all-embracing personality.
Kretschmer also allies himself with those who hold the
concept of genius as closely related to insanity, quoting
selected cases in proof:
"Bastardization" produces internal contrasts and conflicts,
affects tensions, highly strung and uncompensated passions,
and a spiritual lability. It consequently creates a
predisposition to genius . . . but also [[points]] to
psycho-pathological complications. Thus the research on
"bastardization" becomes closely interwoven with the old,
familiar questions, leading us back to the problem: "Genius
and Insanity."
BIBLIOGRAPHY
1. ALGER, WILLIAM. _The Genius of Solitude_, page 144.
2. CARREL, ALEXIS. _Man the Unknown_. See pages 140-141. Harper
& Brothers, New York; 1935.
3. CHURCHILL, ELLEN SEMPLE. _The Influence of Geographic Environment
on the Basis of Ratzel's System of Anthropogeography_. Houghton
Mifflin Company, Boston; 1909.
4. DIXON, ROLAND B. _The Racial History of Man_. Charles Scribner's
Sons, New York; 1923.
5. ELLIS, HAVELOCK. _A Study of British Genius_. Constable, London;
1927.
6. GALTON, FRANCIS. _Hereditary Genius_. The Macmillan Company,
London; 1914.
7. HIRSCH, N. D. M. _Genius and Creative Intelligence_. Sci-Art
Publisher, Cambridge, Massachusetts; 1931.
8. KRETSCHMER, E. _The Psychology of Men of Genius_. Translated
by R. B. Cattell. Harcourt, Brace & Co., Inc., New York; 1931.
9. LEHMAN, HARVEY C. "The Creative Years in Science and Literature."
_Scientific Monthly_ (August, 1936).
10. LOMBROSO, C. _The Man of Genius_. Scott, London; 1891.
11. MILL, JOHN STUART. _Essay on Liberty_. See page 76 ff. The
Macmillan Company, New York; 1926 Ed.
12. OVIDIUS NASO, PUBLIUS. _Ars Amatoria_ (_The Love Books of
Ovid_). Translated by J. Lewis May. Privately printed for the
Rarity Press, New York; 1930.
13. QUETELET, M. _Letters on Probability_. Translated by Downes.
Layton & Co., London; 1849.
14. SCHOPENHAUER, ARTHUR. "Essay on Genius," in _The Art of
Literature_, Essays of Arthur Schopenhauer. Willey Book Company,
New York.
15. SHAW, GEORGE BERNARD. _Saint Joan_. Dodd, Mead, & Co., Inc.,
New York; 1924, 1936.
16. WELDON, W. F. R. "Certain Correlated Variations in Crangdon
Vulgaris," _Proceedings_ of The Royal Society, Vol. 51, page 2
(1892).
[1] See endnote [1] in Preface.
[2] Numbers in parentheses refer to correspondingly numbered
references in the Bibliography at the end of each chapter.
CHAPTER TWO
EARLY SCIENTIFIC STUDY OF EMINENT ADULTS [1]
Because, strictly speaking, the present study is limited in its
interest and data to childhood, no attempt will be made to review
in detail the somewhat numerous studies of exceptional adults.
ORIGIN OF EMINENT ADULTS
Such studies as those undertaken by Galton (11, 12), De Candolle (9),
Ellis (10), Odin (17), and Cattell (4, 5) show that those who, as
adults, become eminent in intellectual work, are in disproportionately
great numbers the children of the "upper" (nobler or professional)
classes; and that they are usually born either in cities or
on large country estates (in France, in the chateaux). Very few
eminent adults have originated in the families of laborers, and
relatively few have been born in agricultural districts, in countries
long settled. Beyond these facts of origin, the investigators
of eminence in adults have not given much information about their
subjects of inquiry in respect to childhood.
YODER'S STUDY
We shall begin our detailed reference to previous observations
with Yoder's study, published in 1898. Yoder (25) made a systematic
attempt to gather data about the boyhood of very eminent men.
He thus tracked down certain facts about fifty great persons
concerning whom he could find data bearing on their childhood.
From these he was able to make the following generalizations:
1. The child who will become a great man may be born at any time,
over a very wide range of the productive period in the lives of
parents. The mothers of the fifty great persons studied ranged
in age from 18 to 44 years, when the great man was born, with
a median of 29.8 years. The fathers ranged in age from 23 to
60 years, with a median of 37.7 years.
2. The average number of siblings of these persons was 5+, not
including half brothers and sisters.
3. In families of more than one child, there was found to be a
strong tendency (chances of nearly 2 to 1) for the great man
to be in the elder half of the siblings.
4. Of those listed, 17 were only sons, either by order of birth
or by death of other sons born. (This is not to say that they
were only children.)
5. There was found no evidence that the great were sickly or
physically weak in childhood, to a more marked extent than average.
6. There appeared a tendency to great height among them than among
persons in general, "though the tendency is not very marked."
7. Play interests were keen among these children, though the play
was often of an unusual kind. "Solitary play" is repeatedly
described. Of Emerson, his biographer says: "I don't think he ever
engaged in boys' plays, not because of any physical disability,
but simply because from earliest years he dwelt in a higher
sphere." Others are said to have been "disinclined to general
intercourse." Instead of joining in the usual childish games,
Newton preferred to play with his machines, Darwin with his
collections, Shelley to read, Stevenson to make clay engines,
and Edison to mix his chemicals. Of Byron it was written: "The
love of solitude and of meditation is already traceable in the
child. He loves to wander at night among the dark and solitary
cloisters of the abbey." To quote Yoder: "Solitude seems to have
played a rather striking role in the lives of these great men.
Either by nature or by opportunity, they have stayed a great
deal alone."
Nevertheless, many of the fifty persons studied by Yoder enjoyed
physical activity. Washington loved outdoor sports, Schiller was
a leader in athletics, Byron was an enthusiastic swimmer and rider,
and Lincoln was the champion wrestler and woodcutter of his
neighborhood.
8. The popular idea that great men owe their success to their
mothers' influence upon their education does not receive verification
from a study of these cases. The mother's place seems very often
to have been filled by some other person, frequently an aunt,
either because the mother had died, or because there were many
other children to care for. "The role of the aunt stands out
prominently."
9. These great persons were, in the decided majority of cases,
derived from well-to-do families. Most of them were privately
educated, by tutors or in private schools. Very few were "self
made."
TERMAN'S INFERENCES FROM BIOGRAPHY
Terman (20) has effected an interesting advance over Yoder's
method, in the interpretation of evidence from the biography of
adults. [2] By analyzing data in the biography of Francis Galton,
and by relating these data to modern knowledge of mental tests,
Terman derives that the IQ of Francis Galton in childhood must
have been not far from 200.
As Terman has elsewhere pointed out, these attempts to study genius
in childhood by inference from the biography of adults are very
unsatisfactory. In the first place, only those whose potentialities
have been realized are included in such study. Since factors other
than innate intellectual power act also as determinants of
eminence, we cannot be sure whether equal capacity for selective
thinking may have existed in persons who died before the age of
achievement, who were younger sons, who were girls, or who were the
children of the poor. Moreover, such evidence as can be gleaned
concerning those who have achieved eminence is comparatively
unsystematic and unreliable as regards childhood.
Most clearly related to our present study are the previously
reported observations of children made directly, during childhood,
by trained investigators. The modern development of mental tests
has now enabled psychologists to identify young children who
deviate from average in the direction of superiority as regards
selective thinking, and to follow their development for some
years. Eventually, therefore, it will be known how to recognize
those children who can become "great," and whether extreme
deviation in mental tests is a basis of prophecy.
BIBLIOGRAPHY
1. BINET, A. _Psychologie des grandes calculateurs et joieurs
d'échecs. Hachette, Paris; 1894.
2. BRIMHALL, D. "Family Resemblances among American Men of
Science," _American Naturalist_, Vol. 56 (1922) and Vol. 57 (1923).
3. CASTLE, C. S. "Statistical Study of Eminent Women." _Archives
of Psychology_, Vol. IV, No. 27 (1913).
4. CATTELL, J. McK. "A Statistical Study of Eminent Men." _Popular
Science Monthly_ (1903).
5. ------ "Families of American Men of Science." _Popular Science
Monthly_, Vol. 86, pages 504-515 (1915).
6. CLARK, E. L. _American Men of Letters: Their Nature and
Nurture_. Columbia University Press, New York; 1916.
7. COX, C. M. _The Early Mental Traits of Three Hundred Geniuses_.
Genetic Studies of Genius: Vol. 2. Stanford University Press,
Stanford University, California; 1926.
8. DAVIES, G. R. "A Statistical Study of the Influence of the
Environment." _Quarterly Journal of the University of North
Dakota_ (1914).
9. DE CANDOLLE, A. _Histoire des Sciences et des Savants depuis
Deux Siècles_. Geneva, Switzerland; 1873.
10. ELLIS, HAVELOCK. _A Study of British Genius_. Hirst and
Blackett, London; 1904.
11. GALTON, FRANCIS. _English Men of Science_. The Macmillan
Company, London; 1874.
12. ------ _Hereditary Genius_. The Macmillan Company, New York,
1914. (Original edition, London; 1869.)
13. LEHMAN, HARVEY C. "The Creative Years in Science and Literature."
_Scientific Monthly_, Vol. XLIII, pages 151-162 (1936).
14. LOMBROSO, C. _The Man of Genius_. Scott, London; 1895.
15. MIDDLETON, W. C. "The Propensity of Genius to Solitude."
_Journal of Abnormal and Social Psychology_, Vol. 30, pages
325-332 (1935).
16. MITCHELL, F. D. "Mathematical Prodigies." _American Journal of
Psychology_, Vol. 18, pages 61-143 (1907).
17. ODIN, A. _Genèse des Grands Hommes des Lettres Français
Modernes_. Paris et Lausanne; 1895.
18. RASKIN, E. "Comparison of Scientific and Literary Ability:
A Biographical Study of Eminent Scientists and Men of Letters
of the Nineteenth Century." _Journal of Abnormal and Social
Psychology_, Vol. 31, pages 20-35 (1935).
19. SCHUSTER, E. "The Promise of Youth and the Performance of
Manhood." _Eugenics Laboratory Memoirs_, Vol. 3, pages 16 ff.
London; 1907.
20. TERMAN, LEWIS M. "The IQ of Francis Galton in Childhood."
_American Journal of Psychology_, Vol. 28, pages 209-215 (1917).
21. VISHER, S. S. "A Study of the Type of Place of Birth and
of the Occupation of Father of Subjects of Sketches in _Who's Who
in America_." _American Journal of Sociology_, 1925.
22. ------ "The Comparative Rank of the American States." _American
Journal of Sociology_, Vol. 36, pages 735-757 (March, 1931).
23. WHITE, R. K. "Note on the Psycho-pathology of Genius." _Journal
of Social Psychology_, Vol. 1, pages 311-315 (1930).
24. ------ "The Versatility of Genius." _Journal of Social
Psychology_, Vol. 2, pages 460-489 (1931).
25. YODER, G. E. "A Study of the Boyhood of Great Men." _Pedagogical
Seminary_, Vol. 3, pages 134-156 (1894).
[1] EDITORIAL NOTE. No revision of this chapter has been found
among the author's papers. In the earlier manuscript reporting
but five cases, there was a brief section entitled "Inferences
from the Study of Adults," and in the incompletely revised
manuscript a list of references is given for this chapter which
had not yet been written. The earlier sections and the revised
bibliography are, therefore, all that is available for this
chapter. The bibliography will be sufficient to guide any reader
who may be further interested in the details of the scientific
study of adults.
[2] EDITORIAL NOTE. Had these pages been written at a later date,
or revised by the author, of course the more recent work of C. M.
Cox (7), inspired by Terman, would have been considered.
CHAPTER THREE
PUBLISHED REPORTS ON TESTED CHILDREN
Galton and those who built directly upon his pioneer thought about
ability were limited to the study of those who had passed the tests
of life itself, the study of the old and the dead, upon whom
developing theories and processes of education have no bearing.
Today one of the principal reasons for obtaining knowledge
concerning able persons is that they and others like them may be
properly educated for the social functions which they alone can
perform. Inferences from study of eminent adults are, therefore, of
negligible importance compared to the identification and education
of today's gifted children.
MODERN APPROACH TO THE STUDY OF ABILITY
In 1905 Binet and Simon (3), announcing their scale for the
measurement of intelligence in children, rendered it possible
to know at the beginning of a human being's existence where--within
narrow limits of error--he or she, in comparison with all others,
grades in caliber of general intelligence. This work, relating
itself to work done also by others--notably Spearman (21) and
Thorndike (28, 30)--created a new epoch in the study of ability
and inaugurated the so-called modern, or present-day, approach
to the subject.
BINET'S METHOD
No extended discussion of what "general intelligence" is will be
undertaken in these pages, as it would not be germane to the
purposes of this monograph. It will be sufficient to refer to the
concept which Binet had in mind in standardizing his scale (4): "It
seems to us that there is a fundamental faculty, the alteration or
the lack of which is of the utmost importance for practical life."
It is this "fundamental faculty" which Binet named "judgment" that
is the variable upon which rests the extreme position of the
children who are to be studied herein.
The quantitative methods which make possible the study of the
status of these children when they have reached adulthood are those
developed in recent years by Thorndike (30) and his students. As
the children identified years ago by Binet's method grew to
adulthood, there were developed in the various laboratories of
Columbia University methods of measuring the intelligence of
superior adults, based on the fundamental principles which are the
same for mental measurement at all periods of development. Methods
have thus been made available for making quantitative statements
of the status of these individuals both during development and
at maturity.
THE RANGE OF INTELLECT ABOVE 180 IQ
It is pertinent to inquire what are the limits of variation
in terms of standard use in respect to human intelligence. How
far superior to the average person are the most highly intelligent
individuals currently produced? Galton's (9) X grade of man was
defined in terms of incidence as "one in a million." But this X
man was not a product of one variable. Galton's X man resulted from
an intellect _in combination_ with "zeal and power of working." The
incidence of this _combination_ of traits would probably be less
than the incidence of intellect alone in degree sufficient for X.
Our purpose in this chapter will be to consider investigations,
made by direct methods, of the origin and development of children
of a type extremely rare in occurrence, incidence being based on
one variable only; i.e., intelligence measured in terms of IQ
(S-B). For this purpose the line might be drawn at any point
farther than +7 PE or +8 PE from the mean. A choice of 180 IQ
(S-B) as a minimum insures a degree of plus deviation very rarely
found even in
metropolitan cities and their suburbs, as is clear from the
reports of mental surveys conducted during the present century.
The choice of 180 IQ (S-B), instead of 179 or 181 or some other
amount of IQ in the extreme upper range, is obviously arbitrary
and is adopted merely for the purpose of defining a point at and
above which there are very few children who score.
_Frequency of occurrence_. Just how often does a child testing
above 180 IQ (S-B) appear in the juvenile population of the United
States? We cannot tell exactly until we know more about the spread
of the distribution of IQ (S-B). In terms of PE (1 PE = ±8 IQ),
according to Terman's original findings (24) we should come upon
a deviate of +10 PE only once in more than a million times,
provided the distribution of IQ corresponds exactly or even
rather closely to Quetelet's (17) curve of probability as respects
spread; for on this curve cases above or below ±5 PE approach
zero in frequency.
It is certain, however, even from existing data, that the
distribution of IQ extends for at least ±10 PE (even assuming that
wider data will define 1 PE as ±10 instead of ±8 as found by
Terman. It is probable that children who test above 180 IQ are
actually present in our juvenile population in greater frequency
than at the rate of one in a million. This does not mean that
intellect when finally measured _in true units_ may not conform
in variability to the mathematics of chance; it means only _in
terms of IQ_ (in terms of ratio and not of absolute units) the
conformity is probably not exact, as respects the law of deviation.
There may be one, or two, or three, or more children among every
million born in the United States under present conditions who
test at or above 180 IQ (S-B). In any case, however, they are
extremely rare, and the study of their origin and development is
of correspondingly great interest. In the course of discovering
about 1000 children testing at or above 140 IQ (S-B) in the state
of California, Terman (26) found 15 who tested at or above 180
IQ (S-B). Children who test at and above 140 IQ (S-B) are as 1 in
250 of children in large California cities and environs. Thus 140
IQ (S-B) defines a frequency of about 4 in 1000 of urban juvenile
population in California. About 1.5 per cent, therefore, of those
children who are as 4 in 1000 reach the status of which we are
here treating; i.e., 180 IQ (S-B). [1] Nor can we take the children
of California urban districts as a true sample of the population
of the United States at large, since there is reason to believe
that among urban children there is an uncommon proportion of
intelligent individuals (8). Also it should be conceded that
California has a total population that is above the average of
the United States in general as regards mental ability (37). In
any case, it may be guessed with some degree of approximation
to fact how very few there are among American children who test
at or above 180 IQ (S-B).
CHILDREN OBSERVED BEFORE THE ERA OF BINET
Scattered observations of children estimated by more or less
competent persons as very unusual are to be found dating from
quite early years. In this period the literature of child psychology
was still in the state of narrative. The earliest of these
narrations bears the date of 1726 (1) and concerns the child
Heineken.
_Christian Heinrich Heineken_. Born February 6, 1721, the "Little
Heineken," of Lübeck, was the son of an artist. When the child was
10 months old, his elders first noticed that he was looking with
sustained attention at the figures wrought in gold on a grotesque
that decorated the walls of his room and that were also on a white
stove that stood therein.
Den 3 Dezember 1721 bemerkte man zuerst, dass das kind diese
Figuren hin und her, eine Zeitlang ohne Unterlass ansah und seine
Äugelchen auf eine derselben gleichsam anklebte. Man sagte ihm
daher die Namen dieser Figuren, das sei eine Katze, das ein
Turm, ein Schäfchen, ein Berg. Den andern Tag, den 4 Dezember,
fragte man es wieder, wo die Katze, der Berg, das Schäfchen wäre
und siehe da, das Kind deutete mit seinen kleinen Fingerchen
hin und traf immer das rechte Bild, das man ihm genannt hatte.
Noch mehr, nun gab es sich Mühe, die ihm vorgesagten Wörter:
Katze, Berg, Turm selbst nachzusprechen: es sah daher mit
unverwandten Blicken dem Redendend nach dem Munde, gab auf
die Bewegung der Lippen und der Zunge desselben beständig acht,
lallte das Wort nach und wiederholte dies so oft, bis es
endlich eine Silbe nach der andern herauspresste. [a]
By the time this child was 14 months old he had learned all the
stories in the New Testament. At this age he was still not weaned
from the breast of his nurse, and had an antipathy to other foods.
In order to get him accustomed to other forms of food, the family
took him to sit with them at meals, but instead of eating "he did
nothing but learn." When he saw the various appurtenances he asked
persistently how the dishes were named, where they came from, what
else could be made from the things, and did not rest until he
had discussed every piece of information.
In this mode of life the child remained always happy and in good
humor. He was lovable. Only when at times he was refused answers
to his questions, because it was feared that he might be injured
by too many remembrances, the child was "sorely grieved." The
extent of his learning in the fourth year of life was as follows:
Es konnte gedruckte und geschriebene Sachen lateinisch und
deutsch lesen.
Schreiben konnte es noch nicht, seine Fingerchen waren zu
schwach dazu.
Das Einmaleins konnte es in und ausser der Ordnung hersagen.
Auch numerieren, subtrahieren, addieren und multiplizieren
vermochte es.
In Französischen kam es soweit, dass es ganze Historien in
dieser Sprache erzählen konnte.
In Latein lernte es über 1500 gute Sprüche aus lateinischen
Autoren.
Plattdeutsch hatte das Kind von seiner Amme, von der es nicht
lassen wollte, gelernt.
In der Geographie fuhr es fort, das Merkwürdigste eines jeden
auf der Landkarte steheneden Ortes zu fassen. [b]
On a journey across the sea to Copenhagen, undertaken for the boy's
health, a storm arose and the passengers were badly frightened,
all but the child, who said, smiling "Qui nescit orare, discate
navigare." When subsequently the ship came safely to anchor, he
remarked, "Anchora navis sistitur; deserit ille suos nunquam, qui
cuncta gubernat."
When the boy was brought before the Danish king, he said of the
diamond order that the king gave him to hold, "C'est l'Ordre
d'Elephant, garni de diamant." And gazing at the diamonds, he
added, "Les bijoux sont precieux, mais la vie du Roi est plus
precieuse."
The "little Heineken" died at the age of 4 years 4 months, in
accordance with the popular superstition that early death awaits
the highly intelligent child, "a wonder for all time."
_Karl Witte_. The father of Karl Witte (35) has furnished a
somewhat elaborate account of his son's development, from which
we learn that the young Karl could read fluently before his fourth
birthday. He learned to write soon thereafter. At the age of
7 years 10 months a public demonstration of his ability to read
was given, covering Italian, French, Greek, and Latin. He passed
tests of preparedness to matriculate at the University of Leipsic
[Leipzig] when he was 9 years old. In the field of mathematics
he pursued analytical geometry at 11 and calculus at 12 years
of age. At 14 he achieved the degree of Doctor of Philosophy,
and was awarded the degree of Doctor of Laws at 16. At 23 he
became full professor of jurisprudence at the University of
Breslau. He was then called to Halle, and continued there for
the remainder of his life, teaching and writing. At the age of 83,
still vigorously engaged in mental tasks, he died, thus outliving
the melancholy promise of early death which had often been
prophesied to his father.
Pastor Witte, who directed his son's education, did not claim for
him extraordinary intelligence. "Any man normally well endowed
can become a great man if properly educated," he wrote (35). His
special method of educating the boy seems to have been simply to
afford him companionship. He describes the child as strong,
healthy, and playful, without vanity or conceit. From the total
record one must conclude that Karl Witte's intelligence quotient
in childhood was in excess of 180, comparing his history with
those studied in this monograph. His performances in childhood
compare favorably with those of the children we have known with
IQ (S-B) in the range above 185.
_Otto Pöhler_. IN 1910 Berkhan (2) recorded the performance of Otto
Pöhler, "the early reading child of Braunschweig," the son of a
master butcher (erstes und einziges Kind der Sclachtermeisters),
born August 20, 1892. This child learned to walk and talk and his
teeth erupted "at the right time." At the age of 1 year 3 months,
when his grandmother led him forth on short neighborhood walks,
she would read to him from signs on the streets. And at this
period she wrote for him his name, "Otto." Soon he could recognize
the word "Otto," when he saw it in the newspaper. Then the
grandmother explained to him the alphabet, and read him single
words. When Otto was taken to Dr. Berkhan, he was 1 year 9 months
old, and he could read incidental matter, such as "April 27,"
written in Latin across the calendar in Dr. Berkhan's office.
Otto Pöhler, geborn den 20 August 1892 zu Braunschweig,
erstes und einziges Kind des Schlachtermeisters, bekam zu
rechter zeit Zähne und lernte zu rechter Zeit laufen und
sprechen. Als er 5/4 Jahre alt war, führte ihn die Grossmutter
vor die Tür und in die nächsten Strassen und nannte ihm dabei
die Namen, welche auf den Haus- und Strassenschildern standen,
auch hatten ihm Angehörigen mehrfach seinen Vornamen Otto
aufgeschrieben. Als das Kind nun eine Zeitung in die Hände
bekam, zeigte es den mehrfach in derselben gedruckten Namen
Otto. Von da ab erklärte ihm die Grossmutter die Buchstaben
und las ihm einzelne Worte vor; dabei ergab sich, dass das
Kind ein ungeheures Gedächtnis für Buchstaben, Worte, und
Zahlen hatte.
Als mir der kleine Otto zugeführt wurde, war er wie ich
vorhin anführte 1 3/4 Jahre alt. Er tat sehr vertraut, kletterte
sofort mehrfach auf meine Kniee, zeigte sich überhaupt sehr
beweglich und unruhig. Als er einen neben dem Schreibtisch
hängenden Wandkalender erblickte, las er unaufgefordert laut
die auf demselben lateinisch gross gedruckte Anzeige: April 27
= "April zwei sieben. . . ."
Im Oktober, 1894, stellte ich den jungen Otto im Alter von
2 Jahren und 2 Monaten dem ärztlichen Landesverein vor. Als
derselbe nach Beendigung meines über ihn gehaltenen Vortrags
in den Sitzungssaal geführt wurde, zog einer der Ärzte den
Börnerschen Medizinal-Kalender hervor mit der Aufforderung,
die lateinische Aufschrift zu lesen. Er las fliessend: "Re--ichs
Medizinal-Kalender. Begründet von Dĕr Pa--ul Börnēr. Eins acht
neun vier." [c]
When Otto was 4 years old, Stumpf reported concerning him in the
_Vossiche Zeitung_, of January 10, 1897, describing him as "not
strongly yet not poorly developed, physically." The back of the
skull was said to be conspicuous; the face, delicate; and the eyes,
"wise and alive, taking on a remarkably concentrated expression
in thinking." The general impression was that made by a merry,
unspoiled youngster, seeing the world. His great passion was still
for reading, and the most important things in the world to him were
history, biography, and geography.
Er ist körperlich nicht stark, aber auch nicht schlecht
entwickelt. Auf den ersten Blick fällt der lange Schädel und der
starke Hinterkopf auf. In dem zierlichen Gesicht fesseln kluge,
lebhafte Augen, die beim Nachsinnen einen merkwürdig ernsten
konzentrierten Ausdruck annehmen. . . . Im ganzen macht er
keineswegs den Eindruck eines ungesunden, abgematteten, sondern
eines noch ganz frisch und lustig in die Welt schauenden
Jungen. . . .
Seine grösste Leidenschaft ist noch immer das Lesen, und
das Wichtigste in der Welt sind ihm historische, biographische
und geographische Daten. Er kennt die Geburts- und Todesjahre
vieler deutscher Kaiser, auch vieler Feldherren, Dichter,
Philosophen, zumeist sogar auch Geburtstag und Geburtsort;
ferner die Hauptstädte der meisten Staaten, die Flüsse, an
denen sie liegen u. dergl. Er weiss Bescheid vom Anfang und
Ende des dreissigjährigen und des siebenjährigen Krieges, von
den Hauptschlachten dieser und anderer Kriege. Das alles hat
er sich nach Aussage der Mutter ohne fremdes Zutun durch das
emsige Studium eines "patriotischen Kalenders" und ähnlicher im
Hause vorfindlicher Literatur, auch durch Entzifferung von
Denkmalsinschriften in den Städten (wofür er besondere
Leidenschaft hat) angeeignet. Als ihm auf zwei verschiedenen
Blättern nacheinander 2 zwölfstellige Zahlen gezeigt wurden,
die sich nur durch eine der mittleren Ziffern unterschieden,
las er sie sogleich als Milliarden und konnte dann, ohne die
Blätter wieder anzusehen, mit Sicherheit angeben, worin der
Unterschied lag. [d]
Stumpf further said:
. . . Dr. Placzek u.a. die den Knaben früher beobachteten,
den bestimmten Eindruck gewannen eines besonders geweckten,
rasch und scharf denkenden und zugleich eines gutartigen,
durchaus liebenswürdigen Kindes. An den Eltern und zumal
an der Mutter hängt er mit der grössten Zärtlichkeit. [e]
When Berkhan saw Pöhler in July, 1907, the boy was an _Obersekundaner_
in a gymnasium [f]. In April, 1909, aged 16 years 8 months, he
appeared as an intelligent, wonderfully retentive, cultured young
man, who oriented himself easily and who, although favored over
and above his contemporaries, had kept a modest and lovable nature.
Jetzt, fast 17 Jahre alt, ist er ein intelligenter, mit einem
bewunderungswerten Gedächtnis ausgestatteter, kenntnisreicher,
sich auffallend leicht orientierender junger Mann, der, obgleich
in seiner Weise vor der Mitwelt bevorzugt, sich ein bescheidenes,
liebenswürdiges Wesen bewahrt hat. [g]
Pöhler's plan, when seen on this final occasion, April, 1909,
was to go at Easter, 1910, to the university, to become a student
of German history.
_Other cases_. General discussions of mental gifts in children
which bear interestingly upon the subject here under discussion
but fail to present any specific instances of individuals who
exemplify extreme status, are those by Dolbear (7) and by Hartlaub
(12), and the lectures given in 1930 before the Hungarian Society
for Child Research and Practical Psychology (31). Among the cases
cited by Waddle (33) there are none that belong to our study. In
the research of Cox (6), the following eminent persons were rated
as having been in childhood at or above 180 IQ (S-B): John Stuart
Mill, Johann Wolfgang Goethe, Gottfried Wilhelm Leibniz, Blaise
Pascal, Thomas Babington Macauly, and Hugo de Groot (Grotius). We
would, however, venture to guess, from what we have observed over
a long period of the work of persons who in childhood tested from
135 to 200 IQ (S-B), that a large number of the persons included
in Cox's study would have tested in childhood at or above 180 IQ
(S-B); and that the reasons why they failed of such rating as
studied by Cox were two: (1) the data of childhood requisite for
the valid rating were lacking; (2) the raters were not sufficiently
familiar with what is required in terms of IQ to make possible the
evaluation of those studies, because only a few children testing
so high could have been seen by any rater, and nothing was as yet
known of the performance of tested children at any stage of maturity.
Many of the persons studied by the methods of Cox were rated at
140, 150, 155 IQ (S-B), whose performances in early maturity were
far in excess of what can be expected of persons who represent
nothing better than what the upper quarter of American college
students can do (6). It is only when children test at least as
high as 170 IQ (S-B) that they render performance in early maturity
that suggests anything like the achievements of the persons studied
by Cox.
CHILDREN WHO TEST ABOVE 180 IQ BY BINET-SIMON TESTS
After the publication of the Binet-Simon tests (3), a few cases
of children testing very high by means of them were reported
in the literature which resulted from the tests before they
were revised by Terman (24). At that time, which was previous
to the appearance of the Stanford-Binet tests, the IQ was not used
in expressing mental status, but we are able to calculate what
this was from the data of Mental Age. These early cases, definitely
measured, are as follows:
_Bush's daughter, B_. In 1914 Bush (5) reported upon the mental
examination of his daughter, B, who at the age of 3 years 6 months
tested at 6 years by the Binet tests of 1911. Her IQ would thus
be proved at about 185, calculated from her father's detailed
record of responses. This report was rendered primarily to show
that the Binet tests were too easy, as no child could possibly
be really so advanced mentally as was B. "B's state is in no wise
extra-normal, or beyond what it should be. She represents the norm."
Additional data concerning B are that she "is of a happy disposition
. . . strong and well of body," and that her parents are both
teachers. This record clearly reveals a child of surpassing
intelligence, contrary to the father's belief that "she represents
the norm."
_Elizabeth, recorded by Langenbeck_. In 1915 Langenbeck (15)
contributed observations of a 5-year-old girl, Elizabeth, who
tested at a mental level of about 11 years by the Binet-Simon
tests of 1911, administered in the Psychological Laboratory at
John Hopkins University. This would yield an IQ of about 220
(assuming the tests of 1911 to be approximately comparable with
Stanford-Binet in power to distribute intellect).
Elizabeth is described as an only child. At 16 months she had a
speaking vocabulary of 229 words, some English and some German,
as she had a German nurse. At 5 years of age she had a speaking
vocabulary of 6837 words, which are inscribed in the record. The
observer writes of her as follows:
Her quickness of thought and readiness with an instant and
convincing answer were typified one dusty, blustering day
when we were out walking. A cloud of dust enveloped us, to
her great indignation, and being a very vehement character she
exclaimed, "I should like to kill the dust!" In answer to
my reproof, "Do not be so foolish. How can anyone kill the
dust?" she replied, "Very easily--pour a little water on it."
This was at the age of 4 years. . . . She is highly imaginative,
and lives largely in a dream world of her own creation.
Her games are nearly all pretense that she is someone else,
and that she is surrounded by companions, sometimes purely
fictitious, though often characters out of books that have been
read to her. . . . When being read to, she asks the meaning
of every unfamiliar word, and rarely forgets it, using it
thereafter in its proper place. . . . Many of her forebears
have been distinguished men and women, and on both sides her
family have been people of more than average capacity and
cultivation. . . . From an early age she has shown unusual
muscular coördination, using her fingers daintily and with
precision. From her eighth month she used a paper and pencil,
drawing recognizable figures. At 4 years she could illustrate
a little story composed by herself. . . . The source of much
of her knowledge is a mystery to her parents, and can only be
explained by her keen observation and retentive memory, as
well as by a power of comprehension much beyond her years.
However absorbed she may appear to be in her play, talking
vigorously to herself and to imaginary companions all the time,
she nevertheless hears everything that is said in her presence,
though months will often pass before she alludes to it. . . .
She taught herself her letters from street signs and books,
and could print them all before she was three, and during
the next few months would write letters of several pages,
of her own composition, having the words, of course, spelled for
her. . . . She has an accurate ear and could sing a tune
correctly before her second birthday, and dances in excellent
time. . . . Every new thought or impression is at once associated
with some previous idea. Hence, doubtless, her marvelous memory.
For example, in a country walk she noticed a typical Virginia
snake fence, having never seen one before. After a single
moment's hesitation she said, "You see that M or W fence?" . . .
At the age of five years she had coined twenty-three words--
e.g., _laten_, to make late; _neaten_, to make neat; _plak_,
to pretend; _up-jar_, pitcher.
_Rusk's case, from Scotland_. In 1917 Rusk (19) published an
account of a Scottish boy whose IQ, calculated from Rusk's detailed
record, was 166 on first test and about 200 on second test given
two and a half years later, the Binet-Simon tests of 1911 being
used. This child was the son of a widow in Dundee, who lived and
supported her two sons by letting rooms to lodgers. The young
brother of this boy was not judged to be remarkably intelligent,
but no test was given to substantiate this impression. Details
of family history are not recorded.
The boy was brought to attention at the age of 5 years by his
teachers, who noted particularly his aptitude for mathematics.
The mother was unaware of her son's extraordinary intelligence,
but she had noticed that he spent a considerable amount of time
on the floor, counting. He would count such objects as cigarette
coupons begged from lodgers. Also the mother observed that he
"had learned before going to school, or being taught to read, to
recognize certain words."
CHILDREN WHO TEST ABOVE 180 IQ BY STANFORD-BINET TESTS
_Beatrice_. Terman and Fenton (25) first described Beatrice in 1921
under her own name. In 1930 Terman (27) again described this child,
under the name of Beatrice (evidently being then convinced that
pseudonyms are to be preferred in designating children studied),
adding data about development.
The child's four grandparents were respectively of Swedish,
German-French, English, and Scottish descent. "The mother is
a woman of more than average intelligence, and of considerable
musical ability. The father's line of ancestry includes several
notables, among them a Lord Mayor of London. The father is
a physician, and the author of the _Ford Stitch_, favorably
mentioned in standard texts on surgery. Betty [Beatrice] has
no sisters or brothers."
Beatrice was born in San Francisco, January 21, 1912, and was first
tested six weeks before her eighth birthday, by Stanford-Binet,
yielding then a mental age of 14 years 10 months and an IQ of 188.
Her speaking vocabulary was at that time 13,000 words. A variety
of mental tests gave nearly the same composite result as that
achieved by Stanford-Binet. At the time of testing, the child
had never attended school but had been given a little private
instruction at home. Her scores on standard tests of scholastic
knowledge ranged, nevertheless, from fifth-grade norms (in the
four fundamental processes in arithmetic) to second year of college
(in tests of poetic appreciation). Her median score in eight
scholastic tests was about eighth grade (where the median birthday
age of pupils is about 14 years, and where pupils have been in
school on an average of eight years).
Ratings for traits of character and for physique gave this child
a score much above average in both respects. She weighed 11
pounds and 15 ounces at birth, and at the age of 8 years 2 months
corresponded to the standard for 9 years 6 months in weight
and for 10 years 6 months in stature. Her hand grip at this time
was equal to that of the average 10-year-old. She began to walk
at 7 months of age, which is the earliest age of walking recorded
for any of the children so far studied, including those who are
the special subjects of this monograph. At 19 months she talked
clearly and knew the alphabet; and at the age of 4 years 6 months
she was discovered reading _Heidi_, a book of about fourth-grade
degree of difficulty. Her parents did not know that she could
read, and they have no idea when or how she learned. By her eighth
birthday Beatrice had read approximately seven hundred books, many
of them twice. At that age it was one of her favorite pastimes
to write stories or poems and to illustrate them with original
drawings. Her health was said by her parents to be excellent. The
measurements given show her to be large and strong for her age.
Beatrice was not entered at school until she was 11 years old, but
studied at home under her mother's guidance. There was little
formal instruction--as a rule there was arithmetic, from ten
to twenty minutes daily. At 11 years of age Beatrice entered
the ninth grade of a private school for girls, which she attended
for two years. She entered the university when she was 14 years
8 months old, and graduated at 17. In college Beatrice earned
A and B grades in English and languages and C's in science. She
fell barely short of Phi Beta Kappa Election. Throughout her life
she has had few playmates and few intimate friends. Her desire
is for a literary career.
_Root's case, VIII A_. In 1921 Root (18) described a boy who at
the age of 8 years 0 months scored at a Mental Age of 16 years
0 months, with an IQ (S-B) of 200. Other tests agreed in placing
this boy near an average adult level in processes of thought. The
stature of the child at this time was 4 feet, and the weight 59
pounds.
The ancestry in the case is predominantly English. Father and
mother both graduated from high school. The father was a railroad
engineer. Two maternal aunts held prominent places in the public
schools. The family had "all comforts but few luxuries." "The aunt
who has guided the [[boy's]] education seems a rare combination;
her educational ideas are a happy union of radical, common sense,
and practical factors." "Nervous temperament" is judged by Root
to be characteristic of the family on the mother's side.
This boy was an only child. His mother stated that he had never been
ill, but it is to be considered that she was a Christian Scientist.
He was educated at home until he was 7 years 6 months old, learning
reading and arithmetical processes through multiplication. He had
read the _Young Folks' Cyclopaedia of Common Things_ "over and
over." His chief interests were at this time games and reading and,
to a lesser degree, animals and flowers.
The following is a letter from his aunt, describing his home
education:
At the age of three he learned his letters untaught by anyone
apparently, and was spelling words. It was felt that this
would interfere with his learning to read later on, so he was
taught to read by the phonic method. This was done with no
more time and personal attention than any first-grade teacher,
with ordinary numbers of pupils, could give to each one,
provided she were generously supplied with different books, and
not limited to one or two sets--state series or otherwise. A
few months after his fourth birthday he was reading with
independence and an almost perfect power to recognize new
words. His only noticed failures were such foreign words as
"Chevrolet" seen on billboards, and unusual words like "aisle,"
used without context, which he pronounced "alicie." His ease
in reading was, of course, made possible, or at least greatly
facilitated, by the fact that an effort had always been made to
use an extended vocabulary in talking to him. Even at two,
he would surprise acquaintances and strangers with expressions
which meant no greater effort to him than a child's baby-talk;
such as, "Oh, the spider has _attached_ his web to the board."
This ability to read opened a new world, for he read car-signs,
billboards, newspapers, magazines, and books. His books and
magazines were carefully selected. His access to newspapers,
especially the funny sheets, had the most questionable results.
But _The Child's Garden of Verses_ and others proved a veritable
dream world--as real as the everyday one. He once asked his
mother, "Does Robert Louis Stevenson know when I'm naughty?"
At another time he wrote a letter to some of the characters
in another book. At the age of six he read _Swiss Family
Robinson_ and _Champlin's Cyclopedia of Common Things_--the two
books which have been and still are his favorites. Other books
which he read before entering school at seven years were:
_Overall Boys_, _Brownie Book_, Kipling's _Just-So Stories_
(read over and over for two or three years), Swift's _Gulliver's
Travels_, Kingsley's _Heroes_, Aesop's _Fables_, Tolstoy's
_Stories for Children_, Grimm's _Fairy Tales_, _Arabian Nights_,
Barrie's _Peter Pan_ and _Peter and Wendy_.
He entered school at seven and a half years and was put in the
B1 (beginner's) class. In the two days he was kept there, he
developed a distinct aversion to school since nobody discovered
he could do anything and the class confinement and need for
sitting still (coupled with the fact that he did not find the
toilet for over a week) made school most disagreeable to him.
On the third day a member of the family intervened and the
teacher very reluctantly allowed him to enter the second grade.
She insisted that he could not do the work, as he did not know
his sounds. Of course he did "know his sounds," but perhaps he
refused to do such baby-work, although he never expressed his
unwillingness at home, and seemed quite afraid of displeasing
his teacher. In the second grade he was forced to sit for
20 to 25 minutes, studying a reading book, which he could have
read through in that time. At home he was told to take some work
to school, but the teacher refused to let him read in school,
even the _Cyclopedia of Common Things_. At the end of a week
and a half he was in absolute rebellion and was taken out
of school.
The family then took this child to a teacher of fourth grade,
who was personally acquainted with him, and asked her to examine
him for proper placement. This resulted in a more appropriate
adjustment. By February of his first year in school he had reached
Grade 5A in school placement, and had had thirteen different
teachers, including those for special subjects such as music,
nature study, and the like. His initial aversion to school
lessened, but he found no positive joy in attending. Root describes
the temperament of the boy as "somewhat irascible." This case
illustrates in extreme degree the maladjustment to school which
is characteristic of children testing above 180 IQ (S-B).
_Twins A and B_. In 1922 Gesell (10) reported the case of twin
girls, both of IQ 183 (S-B). Gesell was interested but incidentally
in the IQ ratings of these girls, his main interest centering
in the condition of twinning. Measurements were taken with a view
to comparing twins, and therefore many details that would be
of interest for our present purpose--for instance, those of family
history--are omitted from the report.
A and B were born by Caesarean section, somewhat prematurely,
weighing 4.3 pounds and 5.3 pounds, respectively. Notwithstanding
their premature birth, in six months A was able to rise spontaneously
to a sitting posture in her mother's lap, and very soon thereafter
B did likewise. At 11 months both had begun to walk, and to talk
in sentences. At the age of 3 years they began the study of
French, and in less than a year from that time they were reading
elementary English, French, and Esperanto. At the age of 4 they
could distinguish parts of speech. They entered the third grade
in school at the age of 6 years, and at the time of report they
had achieved the seventh grade and were engaged in junior high
school work at the age of 9 years.
They are not prigs: they are attractive, animated, sociable
children, with a bubbling sense of humor. They are popular
with their playmates. They can take charge of a gymnasium
class in which most of the members are two to four years their
seniors, and preserve excellent attention and discipline. They
speak mature but not pedantic English, and they speak French
with the fluency of a native. They have read the _Book of
Knowledge_ in its entirety in French; and a year ago embarked
on Russian. They play duets on the piano, but not with rare
distinction. They swim; they ride horseback; they write jingles;
and they read by the hour. Their school work does not tax them;
they do not worry about it; and they are far from fastidious
in regard to the form of their written work.
A complete family chart of the twin sisters, A and B, would
show evidence of superior endowment in the immediate ancestry
on both the maternal sides. Scientific and linguistic ability
of high order and physical energy are some of the traits which
are found in the two immediate generations. The trait of
twinning likewise has a hereditary basis in this instance, for
the mother also bore two boys, twins who died in infancy.
Measurements of physique show A and B to be slightly smaller
than children of their age in good private schools, but very
well nourished. The children have no living brothers or sisters.
_Elizabeth, reported by Hirt_. Elizabeth was reported from the
public schools of Erie, Pennsylvania, in 1922, by Hirt (13). She
was born January 16, 1914, and was tested June 14, 1921, aged 7
years 5 months. Her Mental Age was found to be 14 years, 0 months,
yielding an IQ of 189 (S-B).
Elizabeth's mother was a member of a large family of children
brought from Germany to America by their parents. The father
(Elizabeth's maternal grandfather) died soon after their arrival
in America, and the mother (Elizabeth's maternal grandmother)
worked hard to keep her family together and to give them all an
elementary school education. Elizabeth's father is of Pennsylvania
German descent. He has a high school education, and attended a
business college. His occupation in 1922 was that of a postal
mail clerk.
This child weighed 10 pounds at birth, 22 pounds at 6 months,
28 1/2 pounds at 12 months, and at the age of 7 years 5 months
she weighed 61 pounds and was 51 inches tall. Superior size was
thus consistently maintained from birth to the time of first
report, in 1921. Two teeth erupted before she was 5 months old.
She was not quite a year old when she began to repeat words.
He first sentence was, "Open the door, Daddy," uttered at the age
of 17 months. The parents remembered this sentence as a sudden
transition from one-word communications into sentence structure.
The only illness Elizabeth had ever had until she was 7 years
4 months old was mumps, which came on at that age.
Hirt's report continues as follows:
Among Elizabeth's first toys was a set of cubical blocks with
letters and numbers on four sides. One of the baby's favorite
amusements was to hold up a block and point to one side after
the other for her entertainer to tell what was on the side of
the block indicated. Gradually the game changed, and the
baby held up the block and pointed to the picture called for by
the entertainer. At the age of 15 months she made no mistakes
in finding the animals called for, and very soon afterwards
she could find the letters in the same way.
One of her first books was _The Story of the Naughty Piggies_.
The child seemed never to tire of hearing the story read,
and by the time she was two and a half years old, when she
sat in the lap of the reader, she could turn the page at just
the right place in the story. About that time the two leaves
in the center of the book loosened and dropped out. The
German grandma made a mistake in sewing them in, putting
the second first. Elizabeth quickly discovered the mistake and
was very unhappy about it. She followed her grandmother
about, asking her to fix it. The grandmother could not understand
what the child meant, and finally appealed to the child's
mother, who discovered what was wrong. Elizabeth was not yet
three years old, and they could not believe that the child
detected the difference between these two pages of the book.
But after the grandmother ripped out the stitches and replaced
the leaves in their proper sequence, the little girl showed
unmistakable satisfaction and content.
At three and a half years of age, Elizabeth was spelling
everything she saw printed and asking what the letters spelled,
and she could recognize many words. At four years, she read
the advertisements in the streetcars, as well as everything in
all the books she possessed. During all this time there was no
attempt on the part of the parents to make their daughter
precocious. They were pleased with her readiness to learn,
but they did not look upon her as an unusual child.
In September, 1920, Elizabeth was enrolled in the first grade,
in the public schools of Erie, Pennsylvania. She was then
6 years, 8 months old. On her second day in school her teacher
discovered that should could read anything that was placed
before her. The principal put her in the second grade until
she had time to investigate her case. She spent forty-two days
in the second grade, during which time the principal observed
her closely, and decided to place her in the fourth grade.
Elizabeth had no trouble in completing that grade in the
remainder of the school year, the principal giving her some special
help in spelling and arithmetic. . . . Elizabeth is not a skillful
writer, as far as penmanship goes, but she seldom makes a mistake
in either spelling or punctuation, and the content of her
letters and compositions is superior, even for the advanced grade
in which she is now working. . . . Intellectually speaking,
this child takes everything to which she is exposed, and she is
not satisfied unless she understands the subject fully.
Unfamiliar words or terms bring from her the question, "Just
what does that mean?" She has a cheery disposition, and laughs
often and heartily. She is contented in any environment,
because her imagination makes it as she wishes it. . . .
When she is reading or studying, she becomes so engrossed that
it is hard to attract her attention to anything outside her
book. . . . She is slow in her written work, and she is slow and
rather awkward in some of her motor coördinations.
After less than a month in the fifth grade, in September, 1921
(age 7 years 8 months), Elizabeth was promoted to the sixth
grade, where she is doing superior work. In the examinations
at the end of the last semester she ranked about the middle
of the class, due to the fact that she is still slow in her
written work. But in comprehension she easily leads the class.
Thus far nothing has been done for this exceptional child
except to move her along from grade to grade five times as
rapidly as the average child can go. When we see her at times
very evidently bored while a teacher is trying to make a subject
clear to pupils of average ability, we wonder what would have
happened if Elizabeth were now in the second or third grade
where most eight-year-old children are found.
In 1925 Hirt again reported upon the child, Elizabeth, as follows:
By February, 1923, she had completed the work of the six
elementary grades, and she was promoted to the junior high
school. Now, at the end of her fifth year in school, she is
ready for the second semester's work in the ninth grade. . . .
After her promotion to the junior high school, some of her
teachers complained that she was lazy; others said that she was
very inattentive; and all declared that she was "very silly."
The school psychologist had a conference with these teachers,
and it was decided that Elizabeth should be given a heavier
schedule, and Latin was added to her program. She has been
enthusiastic over this subject from the very first. . . . During
the past year there has been a steady improvement in Elizabeth's
attitude toward her school work as well as in her behavior
in general. Though some of her teachers still consider her
"silly," they all recognize her unusual mental ability. While
they give her B and C grades in most of her subjects, they
realize that she could easily do A work in every subject if she
cared to. They say that she wastes much time, though her mind
seems always to be busy. Her mother says that when she is at
home "she writes, and writes, and writes, covering reams
of paper." Elizabeth has told her mother that she is writing
a book and a play.
In the spring of 1925, when a friend asked Elizabeth where
she was going to spend her summer vacation, the child replied,
"Why, I expect to take a trip around the world." Then seeing
the surprise in her friend's face, she explained, "Of course,
it is not probable that I shall go far from our porch swing, but
I find the swing a very satisfactory conveyance; it is perfectly
safe, and it always takes me exactly where I want to go."
When Elizabeth entered the tenth grade, in senior high school,
in 1926, she was 12 years 8 months old. Her social behavior was
at about the level for this age, and her teachers were coldly
critical, unable or unwilling to reconcile her conduct with
her physical size and intellectual maturity. She made very few
friends. She was graduated from high school in June, 1929, with
the reputation of being lazy. She excelled in the languages, but
her work in other subjects was mediocre.
After she was graduated from high school, funds were not available
for Elizabeth to attend college away from home or to pay tuition.
Consequently, because she must live at home she enrolled in a State
Teachers College, though she had no desire to become a teacher.
She was 15 years 8 months old at this time, and her work was very
uneven in excellence. When the time arrived for practice teaching,
she was assigned to teach high school pupils of about her own
age, and failed in this branch of the work, so that she was not
graduated. She received, however, an honorable discharge from the
college. During these years, 1929-1933, her situation was further
complicated by the passing of a state law prohibiting students
below 17 years of age from attending the State Teachers College.
As Elizabeth was then still below the age specified in the new
law, she was forced to withdraw and wait for time to pass, resuming
her studies as soon as she fell within the law.
When Elizabeth was discharged from the Teachers College, interested
friends made attempts to secure for her a subsistence and tuition
scholarship at some good liberal arts college, but no such
opportunities were found. One college otherwise interested in
granting a tuition scholarship now found her "too old," she being
then aged 19 years.
The scholastic history of Elizabeth is too long to be told here
in greater detail. It affords an instructive and tragic example
of the blindness of current educational practice in dealing with
children who test in the highest ranges of intellect. At 22 years
of age Elizabeth lives at home, without suitable occupation,
writing poetry and helping with the tasks of the household. Her
education as conducted has not provided her with any recognized
equipment for enter for entering into the intellectual life of
her world, although she possesses one of the best intellects
of her generation.
_The case of J. M._ The history of J. M., a 10-year-old girl
of IQ 190 (S-B), was presented by Washburne (34) in 1924. This
girl was a pupil in the public schools of Winnetka, Illinois,
where the plan of individualized instruction is followed, with
individual subject promotions.
At the age of 10 years 6 months, J. M. was 54.5 inches tall and
weighed 88.5 pounds. This is decidedly in excess of the standards
for average children, as regards size. She was doing work of good
quality in the eighth grade, and could have been in high school
had not the school authorities checked her progress in the seventh
grade by giving her a large amount of extra work to do. Her school
record shows that she entered the public schools of Chicago in the
first grade, in September, 1919. The teacher of first grade
immediately discovered that she knew too much for that grade and
brought about her placement in the second grade. There she remained
until the following April, when her family moved to Winnetka.
In Winnetka, J. M. entered the second grade and was promoted
in June. Her reading, tested by the Monroe and Gray tests, was
up to fifth-grade standard when she reached third grade, and had
reached the sixth-grade standard by December, 1920. Her progress
in other school subjects was such that in September, 1921, she
entered the fifth grade. Her rapid progress was halted somewhat,
as she "was carrying a double language course, finishing the fourth
grade and beginning fifth-grade work simultaneously." When in
May, 1922, she began the sixth-grade work, she completed it
in two weeks. "June, 1922, found her, therefore, doing advanced
sixth-grade reading, through with sixth grade spelling, almost
through with sixth-grade arithmetic, and promoted to the seventh
grade in language. She was then nine years old." In the course
of this progress, the grade standard in penmanship was last to be
achieved. The perplexities which now arose in connection with this
child's education are set forth as follows, by Washburne:
In spite of the fact that she was so clearly ready for
seventh-grade work in the fall of 1922, we hesitated about
having her come from the lower grade school to our junior
high school. She was smaller and younger than any of the
children in the junior high, and we felt that she was already so
far advanced that still more progress was perhaps undesirable.
But she had formed a warm attachment for two girls a year or
so older than herself, both possessed of high IQ's, and she
felt that there would be nothing for her to do in the sixth
grade if we held her back. This was so obviously true that
we admitted her to the junior high school with an agreement
that she would remain there until she was twelve years old.
We felt that while she doubtless could do the work of the
junior high school within a year, or at the most in a year and
a half, since our junior high contains only the seventh and
eighth grades, she ought not to go to the senior high school too
young. We agreed to give her a widely enriched curriculum
of electives and special courses, to keep her active and happy
for three years. But it didn't work!
When she found that no effort on her part would get her through
any sooner, she stopped making effort. The end of the first year
(June, 1923) found her with seventh-grade cooking, seventh-grade
art, and seventh-grade pottery, all incomplete. She had taken up
general science toward the end of the year, and of course had
not finished it either. She had, on the other hand, completed
all of the seventh-grade English and arithmetic, including some
advanced work; had done exceptionally well in French. In
dramatics she first had a know-it-all attitude, owing to her
mother's success in amateur theatricals, but later did very good
work. In social studies she had been inclined to superficiality,
trusting to her quick grasp on a single reading of the material
(Rugg's _Social Science Pamphlets_) and doing little real
thinking. But she was interested, and finished the course
within the year.
The general feeling of the teachers, and of J. M. herself
. . . was that she had "loafed on the job" a good deal, had
been over-confident, and had "let down" generally when the
stimulus of rapid advancement was taken away. This gives
us some inkling as to what would have happened to her in a
regular school system, where the class lockstep is the rule.
This year J. M. is taking a straight eighth-grade course with
one elective, and is tying up the loose ends left undone at the
end of last year.
. . . The child's strong desire to move forward with the
children who are now her friends, and the undesirable effect
on her of our last year's experiment in holding her back
regardless of her effort or ability to go forward, have resulted
in our decision to let her graduate this coming June.
Her parents, however, have requested that we keep her in
our junior high school for a postgraduate year, because they
feel that the influence of this school is needed by J. M. We
shall, therefore, try to provide a special course for her next
fall. If we found out that it does not work out successfully, we
will enter her in the senior high school in February, 1925. If,
on the other hand, we find that we can give her the sort of
education that will be helpful to her in our junior high school
and that she responds rightly, we shall hold her here until
June, letting her enter the senior high school at the age of
twelve and one half years.
Interpreting and summarizing our experience with J. M.: Our
system of individual instruction has permitted her to make
full use of her intellectual ability. When we tried to depart
from it to prevent her progress from becoming too rapid, she
showed a lack of interest and in some parts of her school work
she did not work up to capacity, and even became to a slight
extent a discipline problem. Given, however, an incentive to
first-class work and the training in social behavior which we
are trying to give in our junior high school, J. M. developed
successfully and well. On the whole, our system has enabled
us to deal with her flexibly and as an individual. It has
prevented us from prolonging our mistakes. Probably no system,
or uniform plan, can be made to fit children of such exceptional
mental endowments. The most we can hope for is a flexibility
which will enable us to deal with such children as individuals,
feeling our way as we go along.
As for family background, J. M. originates from ancestors of very
superior intelligence. Her parents were both tested by means of
Army Alpha and both scored far above the generality of adults.
Her father was educated as an electrical engineer but subsequently
went into investment banking. J. M.'s paternal grandfather
was an architect, trained in Manchester School of Science.
He also attended the University of Edinburgh. The paternal
great-grandfather was an architect and shipbuilder, expert in
laying out factories, and he was descended from a line of builders.
The paternal grandmother was an English woman, educated by her
aunt, "who had advanced ideas on what a girl should study."
The father of this grandmother was a dealer in building materials.
On the maternal side, J. M.'s grandfather was first a teacher,
then a merchant, who became very wealthy, and a mayor of a Southern
town for eighteen years. The line of his descent was through
Southern planters. The maternal grandmother was the daughter
of a college professor, who in turn was the son of a physician
and surgeon, coming from a long line of physicians. The mother
of the maternal grandmother was descended from wealthy farmers.
It is of some interest that for three generations at least,
J. M. and her immediate progenitors were born when the parents
were thirty years or older, in some cases being more than sixty
years old.
_The case of E. B._ This child was described in 1924, by Stedman
(22), as having "the highest IQ yet reported." Exception was
taken some years ago by the present writer to this description,
on the ground that the test by which E. B. registered an IQ of 214
was not first given to the child. She had been tested previously
by Stanford-Binet, at the age of 5 years 9 months, earning an IQ
of 175. When tested in the Psychological Department of the Los
Angeles city schools at the age of 8 years 11 months, E. B. made
the record of a superior adult, earning an IQ of 214 (S-B). The
record is thus ambiguous, and will be included here only because
we cannot say how much allowance should be made for "test wisdom"
on second test. However, subsequent history points to 175 IQ as
the more probably correct status for this child, since when she was
tested at the age of 21 years 1 month, by Lorge and Hollingworth
(16), using CAVD, Levels M, N, O, P, and Q, and other tests of
cultural and specifically scientific knowledge, the result placed
her among individuals who in childhood had tested between 170 and
180 IQ (S-B).
E. B. was born on September 21, 1913. When 4 years 6 months old
she was placed in a convent school on account of her mother's
departure for France. She was not enrolled as a pupil but was
allowed to sit with the high first grade when she wished, because
her chum sat there. In four months, at the close of the school
year, it was discovered that she could read any page in the reader
which had been used as a text, and any page in the public school
first reader, which she had never seen before. Accordingly, though
not yet 5 years old, she was "promoted" to the second grade.
At the close of the next school year she was promoted to the
fourth grade, aged 5 years 9 months. Before E.B. was 6 years
old she had read practically every book listed by the public
library at Des Moines for children of the first six grades. At
the age of 9 years 4 months she was doing eighth-grade and
post-eighth grade work. Her favorite books at the age of 9
years include Barrie's _The Little Minister_, _Sentimental
Tommy_ and _Tommy and Grizel_; Hugo's _Les Misérables_;
Dickens's _Oliver Twist_, _Our Mutual Friend_, and _David
Copperfield_; Eliot's _Silas Marner_ and _Mill on the Floss_;
Bunyan's _Pilgrim's Progress_; Hutchinson's _If Winter Comes_
and _This Freedom_. . . . Until she entered the opportunity
room, E. B. never had a child companion, and was unpopular with
children. She was friendly but shy, and was unable to comply
with the play standards of other children. In the opportunity
room she made better social adjustments. She is cheerful,
affectionate, and considerate to the point of self-denial.
She obeys implicitly, but is forgetful in the commission of
small duties, perhaps because engrossed with more interesting
matters. She thinks along economic and political lines, and
can hold her own even with many adults in conversing on these
subjects. . . . Health is excellent. She has had the usual
children's diseases, but has recuperated very quickly. . . .
E. B. is of French, English, and Scotch descent. The father
finished high school at 13, and was an A and B student at
the University, taking gold medals for original composition.
He is a writer and an editor. . . . The paternal grandfather
is a lawyer, teacher, and author. The paternal grandmother
has mathematical ability. E. B.'s mother entered school at
8 years, and completed high school at 15. She then entered
business college, and completed the course in less than three
months. She then entered college, working her way through with
consistently A records. She was editor of a national magazine
at 25, and at the time of investigation was an editorial writer
on _Screenland_. . . . The maternal grandfather's history is
unknown. It is thought that he was average; but the maternal
great-grandfather was probably superior. At 21 he could neither
read nor write, but just at this time a public school was
established near his home. He entered, and finished the
course for the entire eight grades in sixteen months. . . .
E. B.'s mother states that E. B. first spoke words with meaning
at 7 or 8 months of age, and that she walked at 10 months.
When she was 3 years old her parents discovered that she
knew the alphabet, which she seems to have learned by asking
questions about printed signs. She has had very little formal
instruction at home, for her mother has been active in newspaper
work most of the time, usually working at night.
E. B. entered college in a large city at 12 years 0 months of age.
The girls in this college are very highly selected for intellect,
and E. B. did not do outstanding work among them. She encountered
many difficulties, but graduated at the age of 16 years 9 months
with a creditable rating. At the age of 20 years she married,
holding also at that age a very responsible post in charge of cash
for the metropolitan branch of one of the largest manufacturing
and distributing companies in the United States. It is her aim
to become a writer.
_Verda_. In 1925 Terman (26) reported two children not elsewhere
described, with IQ's above 180 (S-B), Verda and Madeline [below],
both discovered during the census of the gifted taken in California.
The occupational level among Verda's male ancestors has been
largely in the professions and in business. Her father is a
successful life insurance salesman, and shows musical, mechanical,
and literary ability. He is of Scotch-Irish extraction. Her mother
is of French and English ancestry, a descendant in direct line
from Governor Bradford, of colonial New England, and is related
to many notables. Verda has no brothers or sisters.
The child's first words were articulated at 7 months, and she
talked in sentences at 15 months. She hummed a tune at 17 months'
could name all the primary colors at 22 months; could count to 13
at 25 months. Her first poem (said in rhyme and meter) was composed
at the age of 2 years 9 months. This was recorded by her mother.
She did not herself put on paper her literary compositions until
the age of 5 years, when she learned to print. After this the
stories she composed were no longer recorded by her mother. Soon
after she was 4 years old she brought a book to her parents and
read to them. Up to that time she had had no formal instruction
in reading but she had been read to.
Verda did not enter school until she was 8 years 7 months old,
beginning in the high fourth grade.
Her IQ was first determined at the age of 11 years 1 month by
an incomplete test, made as a demonstration before by an incomplete
test, made as a demonstration before a group of teachers in
the limited time of fifty minutes, and was calculated at 175.
When at age 11 years 7 months she was fully tested in a standard
situation, she passed every test provided on Stanford-Binet,
proving at an IQ ("corrected" [2]) of 186. Through four years
of high school she received an "A" grade in every academic subject,
with the exception of one semester of French and one of biology,
in which the grade was "B." She was graduated from high school
at age of 16 years 9 months.
According to her own testimony, Verda's usual amount of study
during her senior year was only six hours a week outside of school
hours. "She is fond of parties and dances, and is very active
in student life, particulary through her literary contributions.
She rates herself as rather disliking study. She would rather read,
play the piano, compose music, stories, or plays, or spend time
with her friends." (In 1926 she won a gold medal in a piano-playing
contest.) She has shown a wide margin of energy and ability
over and above what is necessary for a "straight A" record in
high school.
There is much more in the description of this child that is
interesting, but the case cannot here be quoted in full.
_Madeline_. At the age of 6 years 7 months Madeline yielded an IQ
of 192 (S-B). She was then in the third grade, but her scores on
Stanford Achievement Tests corresponded to fifth- and sixth-grade
norms. At 7 years of age, her parents' chief concern in regard
to her was to prevent her from reading too much.
At 7 months of age Madeline was able to distinguish all the
pictures on the walls of her home when they were named to her. She
could identify the pictures of six American poets when she was a
little over a year old. She knew the common flowers by name before
the age of 3. Her mother reported that "reading seemed to be born
in her." She could count to 100 at 3 years, played parchesi at
4 years, and "carried the powers of 2 mentally to the 20th,
as a Sunday afternoon pastime before the age of 6." At 7 years
of age she was writing poetry with religious thought expressed.
Entering school in the first grade at the age of 4 years 11 months,
Madeline was held in the ordinary course on account of her age
and in order to improve in handwork, in which she seemed deficient.
She was listless and bored at school, and developed habits of
procrastination and time-wasting. In high school, however, she
began to take an interest in the work offered, and at the time
of report she was finishing the ninth grade with "A" ratings in all
except an occasional course which she regarded as uninteresting
or meaningless.
Often when she is sent out to the back yard at night to dispose
of kitchen refuse, she fails to return until her mother goes
in search of her. Her mother always finds her studying the
heavens. Madeline has recently developed a strong interest in
astronomy, has devoured several books on the subject, and is
planning to become an astronomer.
The health of this child has always been good. She has had the
usual children's diseases, and contracts colds, but has never been
seriously ill.
Madeline's ancestry is very superior. On the paternal side, the
grandfather was of English-Irish descent; the grandmother, of
Scottish-French descent. Teaching and preaching have been the
usual occupations. On the maternal side, the grandfather was of
German-Dutch descent; the grandmother, of English descent. The
child's parents are both university graduates, and they have done
graduate work. She has two younger sisters, of 167 and 162 IQ
(S-B), respectively. The family is in very moderate financial
circumstances, having taken responsibility in the care of relatives.
_Rosemarie_. In 1928, Schorn (20) reported upon a girl aged 4 years
6 months, who tested at 8 years Mental Age in the Psychologisches
Institut at Würzberg. This report gives her an IQ of 184. She
was brought to attention because she could read fluently at the age
of 3 years 6 months, without having been schooled.
The case of this child illustrates some of the points of
misunderstanding of such children by those who have not seen
several like them. Because she could not perform motor tasks
in advance of her years, it was concluded that she "was not
generally bright."
_The case of K_. In 1934 Goldberg (11) described the case of K,
a boy who achieved an IQ of 196 (S-B) when tested at the age
of 6 years 7 months.
K was born June 25, 1927, in New York City, of Jewish parents,
and is an only child. The parents state from memory that K started
to walk at 14 months of age, and could talk rather fluently at
the age of 1 year 6 months. Dentition began at 8 months of age.
His health has been very good, and he has had no serious illnesses.
When K was 20 months old, he knew his alphabet and within a
short while after that he was able to recite it backwards.
At about the same time he had a set of blocks, which offered
him additional opportunity for developing a well-nigh astounding
feat. He could by looking at one of the figures on a given
block call off from memory the other five objects on the
remaining sides. This he was able to do for almost the entire
set. At about 2 years of age K knew his own name and address
and what is more significant the addresses and telephone numbers
of the entire family, numbering about a dozen.
By studying a calendar he learned to tell on what particular
day a certain date would fall. For example, if he were asked
on what day of the week July 16 would fall he would indicate
Thursday. . . .
K began to read at about 4 years of age. He was given no
formal training in the beginning mechanics of reading. The
only assistance he received was a suggestion that he "pronounce
words by syllables." At this time he was already reading simple
words easily.
K is of Jewish origin. Mr. K at the time of K's birth was
32 years of age, and Mrs. K was 35. Neither K's mother
nor his father has had the benefit of college training. They
are for the most part self-educated. Mr. K is a proprietor of
a small retail business.
At the age of 6 years 7 months K's height with shoes was 47.3
inches, and his weight was 52 pounds. He is well nourished, and
his physical condition was found negative for all unfavorable
indications. When asked for the year, in the test at year IX (S-B),
K said, "It is 1934, but if you believe in the Jewish calendar,
it is 5694."
_The case of B_. Witty and Jenkins (36) have reported the case
of B, a gifted Negro girl, who was tested at the age of 9 years
4 months, earning an IQ of 200 (S-B), "corrected" score, and of
187, "uncorrected" score. [3] At the time of testing, B was in
the low fifth grade at school, her mental age being 17 years
5 months at least ("uncorrected" score). She had received but one
double promotion though others were offered by the school, because
B's mother is afraid that the child will get too far from her
age group.
B was discovered by asking a teacher to nominate the "most
intelligent" and "best student" among children in her class.
B was nominated as "best student," while a girl four years older,
whose IQ turned out to be below 100, was nominated as "most
intelligent." This circumstance is illustrative of the lack of
insight which necessarily exists in relation to such children where
teachers have no special instruction in regard to them. The report
continues:
The following items were secured from B's baby book, and
from the mother's reports. B, an only child, was born November
18, 1924. The mother was then 27 years of age, and the father
31. B weighed 6 3/4 pounds at birth, 14 pounds at 3 months, and
17 1/2 pounds at 9 months. At 9 years and 5 months, B weighed
60 pounds and was 50 inches in height; this is normal for a
child of her height and age (Baldwin-Wood norms).
B walked a few steps at 8 months (under the excitement of
running after a dog), but walked no more till she was 12
months old. She employed short sentences when she was about 16
months of age. Her mother reports that B expressed her thought
in sentences, rather than in isolated words, almost from the
beginning of language development; she excited considerable
comment among friends by displaying an extensive vocabulary
and by using nursery rhymes at age 2.
B was taught to read by her mother at age 4, by the "picture-story"
method. (She knew the alphabet long before.) A few lessons only
were given her and thereafter B read and has continued to read
independently.
B has had no serious illnesses or accidents; her health history
appears normal and her physical condition at the present time
is excellent. Furthermore, she seems unusually well balanced
from the standpoint of mental hygiene. B exhibits regularity
in habits, sleeps soundly, seldom reports dreams, displays no
unusual fears, and adapts herself quickly and successfully to
the demands of her child-group.
B's parents appear distinctly above the average both in
intelligence and in academic training. The mother finished a
two-year normal course and taught for a number of years in
a metropolitan school system. The father is an electrical
engineer, a graduate of Case College of Applied Science; he has
pursued graduate studies at Cornell University, and has done
some college teaching. At present he is a practicing electrical
engineer. . . . Her maternal great-grandfather (who is still
active and robust at age 82) was private secretary to each of
four executives of a large railroad system. . . . Her paternal
grandfather was an inventor and manufacturer of polishes and
waxes. . . .
The mother reports B to be of pure Negro stock. There is
no record of any white ancestors on either the maternal or
paternal side.
B has not much ability or interest in music. Her favorite subject
is science, and chemistry attracts her to the extent that she
wishes to become a chemist.
_Child R_. In 1936, Zorbaugh and Boardman (38) described a boy,
R, of IQ 204 (S-B). They mention also three other children of IQ
above 180, tested at New York University's Clinic for the Social
Adjustment of the Gifted, but R is the only one described.
R was brought to the Clinic when he was 8 years old, and
at that time he had on the Stanford-Binet an IQ of 204. His
father, an engineer, is a well-known writer in the scientific
field. His mother holds a doctor's degree in physical chemistry
from a foreign university. Neither the father nor the mother
has been tested, but they are both persons of very unusual
mental ability. R's two younger brothers are also of very
superior mentality. The family is of Jewish origin and both
the father and the mother were born in a foreign country.
R, their first child, was born when the mother was thirty
and the father was thirty-five. His early development was
exceedingly precocious. His first tooth erupted at five months
of age; he began to walk at nine months and was running at
eleven months; he was talking in sentences at eleven months;
he learned to read at four years of age, and was reading
omnivorously before he entered school. When he entered school
he had an unusual vocabulary, using such words as "casuistry"
and "disproportionate." At the age of 2 he was modeling in
clay, and at the age of 3 he began to design and make machines.
He applied through his father to the United States Patent Office
for two patents before he was 8 years old. At 8 years of age
he had a large library in his home composed mostly of books
of science, history, and biography, which he had catalogued
himself, on the Dewey decimal system. At this age he was writing
a book on electricity. Also at the age of 8 he had a small
machine shop in which he was working on his machines. At the age
of 6 he enjoyed discussing philosophy. At the age of 7 he would
debate on the significance of religion in world development.
The day he first came to the Clinic, Claudel's experiments
on developing power by raising the colder water from the lower
levels of the sea had just been reported in the scientific
section of the _New York Times_. R explained the theory involved
much more clearly than had the scientific writer of the _Times_.
R is well developed physically, above average in height, and
considerably above average in weight, likes the outdoors,
especially hiking and riding horseback. At the age of 9 he showed
the first symptoms of the approach of puberty. R is well adjusted
to his school and his playmates, plays on their soccer and
baseball teams, is well liked, and is a leader in many of their
activities.
_Other cases_. In addition to these children who have been somewhat
fully described, a few others testing above 180 IQ (S-B) have
been mentioned in the literature of gifted children or their
records have appeared in tabulations. In 1923 Dvorak told of a boy
of IQ 183 (S-B) who was examined at the University of Minnesota.
This boy was conspicuously maladjusted at school. He "hated
school," and did poor work there. He was 8 years 7 months old
at the time of examination, and passed the tests at a mental
level of 15 years 9 months. The educational authorities were
unsympathetic and resistant to advice, but finally placed the
child in the fifth grade, where both work and conduct improved
greatly. This observer also mentions a boy of 189 IQ (S-B) who was
tested at the same University.
Cyril Burt, writing of mental tests in the schools of London,
cites an English boy of 190 IQ, but does not give a description
of him. The value of these mere mentions is slight because there
is no elaboration and no subsequent history of the cases which
would be useful for purposes of generalizations.
GENERALIZATIONS
The preceding [cases] describe in some detail 19 cases rating
180 IQ or better, if those be included (3 cases) that were reported
before the Stanford Revision came into use. Although the reports
are lacking in uniformity and vary in emphasis, it is possible
to glean from them a few generalizations concerning origin and
development among the gifted.
Origin is extremely varied as regards racial stock. In describing
the 14 American children, German descent is mentioned 3 times,
French 3, Scottish 5, English 5, Swedish 1, Scotch-Irish 1,
Dutch 1, Jewish 1, Negro 1. There is one German child.
The occupational status of the fathers all fall in Class 1 or
Class 2 of Taussig's rating--professional, clerical, or business
proprietors. Social-economic status wherever mentioned is said
to be moderate. None is stated to be very wealthy or very poor.
Age of parents at birth of the exceptional child covers a wide range.
Development is decidedly ahead of schedule for the group in all
respects. Reported age of walking (7 cases stated) ranges from
7 months to 14 months. Talking in sentences, in the 10 cases in
which it is given, ranges from 8 months to 19 months. In 13 cases
the age of reading is assigned, this being always 3.5 or 4 years.
General health is, whenever mentioned, always reported as good,
and except for the twins, born prematurely, physique is superior.
In the array of 19 cases there are 12 girls and 7 boys, whereas
of the 12 cases to be [later] reported [in] this study only 4 are
girls. In the grand total there are 16 girls and 15 boys.
BIBLIOGRAPHY
1. BERKHAN, OSWALD. "Das Wunderkind Christian Heinrich Heineken."
_Zeitschrift für Kinderforschung_, Vol. 15, pages 225-229 (1910).
2. ------ "Otto Pöhler, Das Frühlesende Braunschweiger Kind."
_Zeitschrift für Kinderforschung_, Vol. 15, pages 166-171 (1910).
3. BINET, A., et SIMON, TH. "New Methods for the Diagnosis of the
Intellectual Level of Subnormals." _L'Année Psychologique, 1905_,
pages 191-244.
4. ------ "The Development of Intelligence in the Child."_L'Année
Psychologique, 1908_, pages 1-90.
5. BUSH, A. D. "Binet-Simon Tests of a Thirty-nine-Months-Old
Child." _Psychological Clinic_, 1914.
6. COX, C. M. _The Early Mental Traits of Three Hundred Geniuses_.
Genetic Studies of Genius: Vol. 2. Stanford University Press,
Stanford University, California; 1926.
7. DOLBEAR, K. E. "Precocious Children." _Pedagogical Seminary_,
Vol. 19, pages 461-491 (1912).
8. DUFF, F., and THOMSON, GODFREY H. "The Social and Geographical
Distribution of Intelligence in Northumberland." _British Journal
of Psychology_ (1923).
9. GALTON, FRANCIS. _Hereditary Genius_. The Macmillan Company,
London; 1892. (First Ed., 1869.)
10. GESELL, ARNOLD. "Mental and Physical Correspondence in Twins."
_Scientific Monthly_ (1922).
11. GOLDBERG, SAMUEL. "A Clinical Study of K, 196 IQ." _Journal
of Applied Psychology_, Vol. 18, pages 550-560 (1934).
12. HARTLAUB, G. F. _Der Genius im Kinde_. Hirt, Breslau; 1930.
13. HIRT, ZOE I. "A Gifted Child." _Training School Bulletin_,
Vol. 19, pages 49-54 (1922).
14. I. E. R. Intelligence Scale CAVD, Levels A to Q. Printed in 5
parts. Teachers College, Columbia University, New York; 1925.
15. LANGENBECK, M. "A study of a Five-Year-Old Child." _Pedagogical
Seminary_ (1915).
16. LORGE, I., and HOLLINGWORTH, L. S. "The Adult Status of Highly
Intelligent Children." _Journal of Genetic Psychology_, Vol. 49,
pages 215-226 (1936).
17. QUETELET, M. _Letters on Probability_. Translated by Downes.
Layton & Co., London; 1849.
18. ROOT, W. T. _A Socio-Psychological Study of Fifty-three
Supernormal Children_. Psychological Monographs, 1921, 29, No. 133,
pages 134 ff.
19. RUSK, R. R. "A Case of Precocity." _Child Study_, 1917.
20. SCHORN, M. "Zur Psychologie des Frühbegabten Kindes."
_Zeitschrift für Psychologie_, pages 105, 302-316 (1928).
21. SPEARMAN, G. "General Intelligence Objectively Determined
and Measured." _American Journal of Psychology_, Vol. 15, pages
201-293 (1904).
22. STEDMAN, L. M. _Education of Gifted Children_. World Book
Company, Yonkers-on-Hudson, New York; 1924.
23. TERMAN, LEWIS M. "A New Approach to the Study of Genius."
_Psychological Review_, Vol. 29, pages 310-318 (1922).
24. ------ _The Measurement of Intelligence_. Houghton Mifflin
Company, Boston; 1916.
25. TERMAN, LEWIS M., and FENTON, J. C. "Preliminary Report on a
Gifted Juvenile Author." _Journal of Applied Psychology_, Vol. 5,
pages 163-178 (1921).
26. ------ et al. _Mental and Physical Traits of a Thousand
Gifted Children_. Genetic studies of Genius: Vol. 1. Stanford
University Press, Stanford University, California; 1925.
27. ------ et al. _Ibid_., Genetic Studies of Genius: Vol. 3.
Stanford University Press, Stanford University, California; 1930.
28. THORNDIKE, E. L. _An Introduction to the Theory of Mental and
Social Measurements_. Science Press, New York; 1904.
29. ------ "Animal Intelligence." _Psychological Review Monograph
Supplements_, Vol. 2, No. 8 (1898).
30. ------ _The Measurement of Intelligence_. Bureau of Publications,
Teachers College, Columbia University, New York; 1926.
31. _Tehetsegproblemak_ (Problems of Talent). Thirteen lectures
by various authors, delivered before the Hungarian Society for
Child Research and Practical Psychology, Budapest; 1930.
32. VON SCHÖNEICH, CHRISTIAN. _Taten, Reisen und Tod eines sehr
klugen und sehr artigen 4-jährigen Kindes, Christian Heinrich
Heineken aus Lübeck_. Zweite veränderte Auflage. Göttingen, 1779
(Erste Auflage, 1726).
33. WADDLE, C. W. "Case Studies of Gifted Children," Part I.
Twenty-third _Yearbook_, pages 185-207, National Society for the
Study of Education. Public School Publishing Company, Bloomington,
Illinois; 1924.
34. WASHBURNE, C. W. "Case History of J. M.," Part 1. Twenty-third
_Yearbook_, National Society for the Study of Education. Public
School Publishing Company, Bloomington, Illinois; 1924.
35. WITTE, K. _The Education of Karl Witte_. (Translated by L.
Wiener.) Bruce Publishing Company, Milwaukee, Wisconsin; 1914.
36. WITTY, P. A., and JENKINS, M. D. "The Case of 'B'--a Gifted
Negro Girl." _Journal of Social Psychology_, Vol. 6, pages 117-124
(1935).
37. YERKES, R. M. (Editor). "Psychological Examining in the
United States Army." _Memoirs of the National Academy of Sciences_,
Vol. 15 (1921).
38. ZORBAUGH, H. W. and BOARDMAN, RHEA K. "Salvaging Our Gifted
Children." _Journal of Educational Sociology_, Vol. 10, pages
100-108 (1926).
[1] It is not absolutely clear from Terman's text whether the 15
children above 180 IQ (S-B) are to be thought of as representing
the 643 children statistically treated in _Genetic Studies of
Genius:_ Vol. I, or whether they rest upon the "nearly one thousand"
as a base, who were located. [[In a personal communication Professor
Terman writes that it was 15 out of 643.]]
[2] Correction is attempted according to a formula for records
exceeding the top of S-B, but this formula has never been actually
validated.
[3] See previous footnote.
[a] "On December 3rd, 1721, someone first noticed that the child
watched these figures here and there for a long time without
stopping, and his little eyes at the same time stuck [upon them].
Someone said to him the names of these figures: that would be
a cat, that a tower, a little sheep, a mountain. The following
[lit. "other"] day, the 4th of December, someone asked him again,
where the cat, the mountain, the little sheep were and [to] look
there; the child indicated with his little tiny fingers there,
and always hit upon the right picture, that they had named to him.
Even more, now he gave effort himself to repeat the previously
said words: cat, mountain, tower: hence, he saw with unrelated
glances [likely, unrelated to the figures he was previously
transfixed on] the speaking from the mouth [likely, of whoever
named the objects], got the movement of the lips and the tongue
[with] the same steady attending, slurred the word afterward and
repeated this so often, until he finally pressed out one syllable
after another.
[b] He [pronoun is literally "it," derived from neut. case noun
"das Kind" i.e., "the child"] could read printed things in Latin
and German.
He could not also write them; his little fingers were too weak
to do so.
He could recite times tables both in and out of order. He could
also count, subtract, add, and multiply.
In French, he got so far, that he could recount entire histories
in this language.
In Latin, he learned over 1,500 good sayings from Latin-language
authors.
He learned Low German from his nurse, of whom he didn't want to
let go.
In geography, he continued to grasp the most curious things on each
of the maps of existing places.
[c] Otto Pöhler, born the 20th of August, 1892 to Braunschweig,
first and only child of a master butcher, got teeth at the correct
time and learned to walk and speak at the right time. When he
was five fourths of a year old, his grandmother led him outside
the door and into the next streets and in the course of this
named to him the names which were on the house and street signs,
and also relatives wrote down him first name, Otto, multiple times.
When the child then got a newspaper in his hands, he showed
the same printed name, Otto. From then on, the grandmother
explained to him the letters and read aloud to him single words;
in the process, it resulted that the child had a prodigious
memory for letters, words, and numbers.
When the little Otto was brought to me, he was, as I previously
cited, 1_3/4 years old. He was very conversant, climbed immediately
multiple times onto my knees, showed himself, overall, very mobile
and restless. When he caught sight of one of the hanging wall
calendars next to the writing table, he read loudly, unprompted,
the large-print, Latin display on the same (April 27): "April
two-seven..."
In October, 1894, I brought the young Otto, at the age of 2 years
and 2 months, before the physician's country club. When the end of
my delivered lecture about him came, which was led in the boardroom,
one of the doctors showed the Börner's Medicinal-Calendar, with
the request to read the Latin inscription. He read fluently:
"Imperial Medicinal-Calender. Founded by Pa-ul Börner. One, eight,
nine, four."
[d] He is not physically strong, but also not badly developed. At
first glance the long skull and the strong back of the head stand
out. In the delicate face clever, expressive eyes are captivating,
which, with pondering, take on at first a curiously serious,
concentrated expression. In the whole, he does not at all make an
impression of an unhealthy, jaded child, but rather of a boy with
a completely fresh and merry view of the world.
His biggest passion is still always reading, and the most important
thing in the world to him are historic, biographic, and geographic
dates. He knows the birth and death years of many German Kaisers,
also many generals, poets, philosophers, mostly also birthdays and
places of birth; furthermore the capitals of most states, rivers
on which they lie and the like. He knows decisions of the beginning
and end of the Thirty Year's and Seven Year's Wars, of the main
battles of these and other wars. From statements of the mother,
everything he picked up on without outside help, through the
diligent study of a "patriotic calendar" and similarly discoverable
literature in the house, also through the deciphering of monument
inscriptions in the cities (for which he especially has passion).
When two different pages with two 12-digit numbers were shown to
him in succession, [the numbers of] which differed by one of the
middle digits, he read them as far as the billons and could then,
without looking at the pages again, with certainty, specify
wherein the difference lay.
[e] Dr. Placzek et al. who earlier observed the boy, the definitive
impression prevailed of a specially aroused, rapid, and sharp-thinking
and, at the same time, a benign, quite loveable child. With the
parents and particularly with the mother he's involved with the
greatest affection.
[f] An _Obersekundaner_ is a pupil in seventh year of a German
secondary school. "Gymnasium" here means secondary school.
[g] "Now, almost 17 years old, he is an intelligent, young man,
equipped with an admirable memory, full of knowledge; a young man
easily getting noticed, orienting, who, although in his way
preferred before his contemporaries, has proven [to have] a humble,
lovable nature."
PART II
TWELVE CASES NEW TO LITERATURE CONCERNING TESTED CHILDREN
CHAPTER FOUR
CHILD A
Child A is a boy, born June 18, 1914. He was brought by his parents
to Teachers College, Columbia University, in the latter weeks
of 1920, for mental tests. This was on the advice of the principal
of the school A attended, for the boy was a school problem.
He did not adjust himself readily to the work of the classroom
in the second grade where he was at that time placed, at the age
of 6 years 6 months. The school had found A ready for work beyond
the second grade in reading and arithmetic, but because of his age
and size it had decided to place him in second grade. The record
made at that time and subsequently reads as follows:
FAMILY BACKGROUND
A is descended from German Jews on both sides of his family. His
parents are not related by blood so far as can be known. He is of
the third generation to be born in the United States.
The paternal grandfather is living [[1920]] and well, a tailor
by trade. He is "very handy" in making helpful devices to use
in his shop. The paternal grandmother is living [[1920]] and well,
a competent housewife, who has evinced no noticeable intellectual
interests.
No dependent or incompetent relatives of the father are known.
It is usual for the progenitors in the paternal branch to die
between the ages of 80 and 100 years. The paternal great-grandfathers
of A died aged 86 and 89 years, respectively. The paternal
great-grandmothers both died at 40 years. The paternal
great-great-grandmothers died at 101 and 102 years, respectively.
There have been no constitutional diseases in the ancestry.
A's father has but one sibling, A's paternal uncle, who is
a successful dentist. He married a teacher, and has two young
daughters, A's cousins. One of these, about 6 months older than
A, has twice been tested by Stanford-Binet, her IQ's being 170
and, a year later, 161. At the age of 8 years, this girl had
reached the fifth grade in public school. She now [[1920]] attends
a special class organized for children of her age who test over
150 IQ. The other of these cousins was tested by Stanford-Binet
on November 9, 1923, yielding an IQ of 129. These two girls are
the only first cousins A has.
A's maternal grandfather is living [[1920]] and well. He is a cloth
salesman, but he has always seemed dissatisfied with this vocation.
He had to go to work at an early age. The maternal grandmother is
living [[1920]] and well, a competent housewife, not especially
interested in intellectual pursuits.
No dependent or mentally incompetent relatives of the mother
are known. All are self-sustaining. There are no constitutional
diseases in the maternal ancestry. It is usual for the progenitors
on the maternal side to die between the ages of 60 and 70 years,
but one of A's maternal great-grandmothers lived to the age
of 90 years. A's mother has but one sibling, A's maternal uncle,
a salesman, who is unmarried.
_Father_. A's father is a large, strong man, now following
the profession of organization engineer. He is a high school
graduate and a graduate of Webb Academy, holding a diploma from
the latter as marine engineer and marine architect. He has invented
and patented a complete combustion furnace, and has designed a set
of torpedoes which were used in the Japanese-Russian war. During
the war of 1914-1918, he participated in the development of a fleet
destroyer, and designed a boat superior to previous models for
transporting nitrocellulose. He made the original layout for one
of the largest steel plants in the United States. His rating on
Army Alpha is 180 points. His grip is 70 kg. in the right hand
and 64 kg. in the left hand (Smedley's dynamometer). He was
29 years old when A was born.
_Mother_. A's mother was graduated from high school at the age
of 18 years. Before marriage she was in business, as an executive
in charge of advertising for one of the largest drug concerns
in this country. She has handled business affairs involving large
sums for a tobacco company. She also did some newspaper work.
Formerly she had excellent health, but she has not been entirely
well since the birth of her children. She was 27 years old when
A was born.
_Noteworthy relatives_. In the paternal branch these include
cousins who founded the Banking House of Tuch, in London. The
father's maternal grandfather (A's great-grandfather), a tailor,
devised and patented a union suit, said to have been the first
union suit. He also invented an improved buckle for adjusting
men's vests in the back. It was said of him, "He was always
trying to invent things."
Noteworthy relatives of the mother include the founder of the
Lemaire Optical Goods firm. This firm has an international
reputation for fine lenses. A cousin of the mother is a judge.
Another relative was a leader of Jewish reform movements.
_Immediate family_. A is the first-born child. He has one brother,
three years younger than himself. This brother is large, strong,
and handsome. His IQ on repeated tests, at intervals of a year,
has stood at 145, 152, 145, 161. He too displays the special
interest in mathematics which characterizes A. For instance, at
the age of 5 years he set himself the project of counting all
his footsteps until he had counted a million consecutive steps.
This project he carried out, his parents submitting to the numerous
inconveniences incident to it. The growth of this brother affords
an interesting comparison with that of A, since we have here two
children, both of extremely superior intelligence, of the same
ancestry, and living under the same school and home conditions,
one of whom is nevertheless as superior to the other--in terms
of IQ--as that other is superior to the average child.
PRESCHOOL HISTORY
The preschool history of A has been elicited from the parents and
from the "baby book" kept by them. A was born at full term, and
the birth was normal in all respects. He weighed 7 pounds 9 ounces,
and was breast fed for the first several months of life. He began
to articulate words at 10 months, and at 14 months could pick out
letters on the typewriter at command. At 12 months he could say the
alphabet forward, and at 16 months he could say it backward
as well. His parents had no idea that he could reverse the alphabet
until one day he announced that he was "tired of saying the letters
forward" and guessed he would "say them backward." The concepts
of "forward" and "backward" had thus been developed by the age of
16 months. At 12 months he began spontaneously to classify his
blocks according to the shape of the letters on them, putting
V A M W N together, Q P O G D together, and so forth. This love
of classifying has remained one of his outstanding characteristics.
As an infant, he would for hours thus amuse himself with his
alphabet blocks.
When 18 months old he was able to carry out simple errands
involving not more than three or four items. By the time A was
30 months old he could copy all the colored designs possible with
his kindergarten blocks. Before the age of 3 years he enjoyed
rhymes, and would amuse himself rhyming words together. From
the time he was old enough to be taken out to walk, he would
point out letters on billboards and signs with keen interest
and delight, crying, "Oh, see D! There's J, Mother! There's
K and O!" Also before the age of 3 years A objected to stories
containing gross absurdities. For instance, he rejected the story
of the gingham dog and the calico cat who "ate each other up." A
pointed out that this could not be, "because one of their mouths
would have to get eaten up before the other mouth, and no mouth
would be left to eat _that_ mouth up." He was irritated by this
obvious lapse from logic and requested that the story be read
to him no more.
A learned to read for himself during the third year of life, and
read fluently before he entered school.
The photograph in Figure 1 [not included] shows one of A's amusements
at the age of 10 months--balancing and rolling simultaneously
a large ball between his hands and another between his feet as
he lay on his back in his crib. This activity illustrates his
power of motor coördination in infancy, and it is especially
interesting in connection with the errors of judgment made by
A's teachers to the effect that "A is below average in control
of his body."
FIG. 1. CHILD A AT THE AGE OF 10 MONTHS.
SCHOOL HISTORY
_First year_. A has always attended private schools. He started
school at the age of 5 years, in Philadelphia. Here he was placed
in the kindergarten, though the question was raised by teachers
as to the greater advisability of placement in the first grade.
After a few months in this school the family moved to New York,
where A entered an excellent private school at the age of not
quite 6 years. By this time he had developed many numerical
processes by himself. On one occasion the mother went to speak
to the teacher regarding the advisability of teaching such advanced
processes to so young a child at school, and the teacher replied
in great surprise that she had been on the point of asking the
parents not to teach so young a child these matters.
_Second year_. In the autumn of 1920, A entered a private school
which he attended for several years. It was here that he was
considered to be a school problem. It was recognized that he was
ready scholastically for a grade much beyond his age and size.
As a compromise he was placed in the second grade. Soon the teacher
of the second grade advised that he be considered for the third
grade, as he did not "fit" into second-grade work. Thereupon
he was brought to Teachers College for educational guidance. The
report stated that A stood far ahead of the other second-grade
children in reading and arithmetic but that he was "poor in carrying
out projects," and did not seem interested in the activities
of the second grade.
After mental examination of A, revealing an intelligence level of
12 years 2 months, it was explained that there had never been
worked out an established appropriate procedure for variants of
such rare occurrence. The advice given was to place A in the third
grade; for although his Mental Age was then more than 12 years
(his physical age at this time was 6 years 6 months), many of the
8-year-olds in this school would approximate A's mental capacity,
since the median IQ of the pupils there was about 120. A was
accordingly placed in the third grade, where he had the good
fortune to meet a teacher of extraordinary knowledge and ability.
At the end of that year he was promoted to the fourth grade.
_Third year_. In the autumn of 1921 A was in the fourth grade,
with the same teacher he had had in the third grade. Outside of
school hours he took special work in sports and games with a group
of young boys. At the end of that year he was promoted to the fifth
grade, and placed in a special fifth-grade group which had been
formed of the brightest children of this status in the school.
During this time a special effort was made to develop A in social
activities and to interest him in group projects, with the result
that "he became much more a member of the group." Nevertheless,
he still liked to "lie down on his back and look up at the
ceiling," instead of joining common projects. "His mind often
seems to be miles away."
_Fourth year_. In the autumn of 1922 A was in the fifth grade,
composed of the special group referred to above, with classmates
about two years older than himself, whose IQ's ranged above 140.
At the end of that year he was promoted to the sixth grade, at age
9 years. He seemed happy and contented during his fourth year in
school but displayed many characteristics which might well try
the patience of any but a very wise teacher. The tendency to
become absorbed in his own line of thought continued, giving an
impression at times of indifference, absent-mindedness, and
non-coöperation. Also, he was "slow to take advice." He decided,
for instance, not to learn French, as he was "not interested in
it." He persisted in this attitude until it was clearly explained
to him that people who go to college must know French, whereupon
he applied himself and learned the language. The relative difficulty
in handwriting, shopwork, and other manual tasks which such a child
experiences in comparison with older classmates is also a problem
for the teacher.
_Fifth Year_. In the autumn of 1923 A entered the sixth grade.
He was at this time 9 years old.
JUDGMENTS OF TEACHERS
Teachers' judgments of A show the usual disagreements and errors.
His superior intelligence has been recognized to some extent
by nearly all. One teacher, however, has felt his superiority
to be merely for reading and arithmetic. Several teachers have
judged A to be inferior in respect to manual dexterity and motor
coördination, forgetting that their comparison was based always
on older children, A's classmates. Only one teacher bore this
fallacy of judgment in mind in reporting her estimates. For
instance, one of the supervisors who had observed A, reported
that he was below the average child of his age in penmanship.
A was then 6 years old. This supervisor seemed not to recall
that the average child of that age has no penmanship whatever.
Direct quotation from teachers' estimates will best show how
A has been appraised.
He was quite a desirable pupil, and we should have been glad
to keep him. _From the headmaster of the school A first entered_.
Though ahead of the class in arithmetic and reading, he reasons
like a child of 6. He has undeveloped judgment. _From a teacher,
in 1920_.
He seems to like the third grade, and the children like him.
Intellectually he is able to carry the work of the grade, and
while he is not yet very responsive in manual work, I think he
can gain the muscular control he needs here as well as in a
lower grade. He has made a splendid effort in the matter of
penmanship. He is still very imperfectly adjusted to the school
situation, but in time will find himself able to meet the
requirements, I am sure. _From a report of a classroom teacher,
for February 1 to March 18, 1921_.
Although A still has lapses of inattention during class lessons,
in general he complies with class requirements and he has
learned to use his free time without direction. His gain in
penmanship has been marked. _From report of a classroom teacher,
for March 21 to May 27, 1921_.
He is doing well, but needs handwork. _From report of a special
teacher, 1921_.
He is slow to take advice but has shown big improvement over
last term. He seemed to go ahead suddenly. _From report of a
special teacher, 1921_.
He has got little from the playground. Doesn't "get into
the game," and is a trial to his mates. _From report of a
teacher in charge of playground, 1921_.
Manifests considerable musical ability. Lovely voice, and
true to pitch. _From report of a music teacher, 1921_.
A is making excellent progress both socially and in his work.
Mr. W reports that his shopwork is good, considering his age,
and that it is improving. Miss C says there is continued
improvement in art. I find that his writing of figures is
improving more than written English. He does not like to
write, and is apt to neglect written homework. _From report
of a classroom teacher, for November 17, 1921, to January
31, 1922_.
A is the youngest child in his group (he is 7 and in the fourth
grade, in which the average age is about 9). It is difficult
to classify him in general terms as the first in scholastic
standing, as he is with a group which numbers nine or ten
superior children with IQ's running from 140 to 175; but in
scholastic standing, with the exception of written work, he is
among the best. If one compares his age with that of the
others, his ability is of course most marked. Even in this group
he is conspicuous for his accuracy and lucidity of statement and
for the clear thinking this indicates.
One noticeable indication of his intelligence is his ability to
criticize his own concepts; unless he understands every detail
of a subject, he does not consider that he understands it.
His ability in academic work seems well distributed, though
strongest in mathematics. For this grade he is markedly low
in art and industrial work; but he would be average in second
grade, where his age would under ordinary circumstances place
him. His artistic feeling is all for music and literature. He is
moderately interested in drawing, but doesn't like modeling
and does not want to draw unless it is for some special purpose,
or because everybody else is doing so and it is the social thing
to do. For example, he has made posters and designs for holiday
cards, which, while very crude, had an idea to express and
were suitable for their purpose. He enjoys shopwork and here
does better technically than in other types of handwork. I
think he is rather clumsy with his hands, even for his age,
though not much below the average child. With his mental
ability he can learn to do anything in which his interest is
aroused.
This ability to attack any sort of problem is shown in his
physical work. He makes an excellent effort and comprehends
what is to be done, but in bodily coördination, in muscular
strength, and in rhythmic response he would rank in the lower
half of a second grade. _From a specially requested report
of a classroom teacher, June 20, 1922_.
In short, I am fully convinced that A requires most of all
training which will develop a proper harmony and rhythm between
mind and body. _From the report of the instructor in the special
boys' group, to which A belonged, outside of school, April
19, 1922_.
A's teachers seem to hold the universal opinion that he is not
doing well in his work unless prodded or specially urged. It
was to be expected that the handwork, such as art and shopwork,
would be hard for him, but he seems to do poor work and at the
same time to be entirely satisfied with it, his teachers say.
Miss B finds he is not an observer of nature, but rather
inclined to tell what he has read in books.
However, on the academic side, in French and the regular
classroom studies, he seems to require the same prodding. His
sleepiness and inattention are quite marked at times. When
aroused, I find him capable of good thinking, and excellent
memory work. I have been afraid to overstimulate him, but
in order to accomplish the work of the fifth grade creditably
we must develop in him more of a feeling of responsibility on
his own account. His immaturity shows rather clearly in some
of these respects. Of course his work is more than passing,
because of the fine coöperation at home and his own vigorous
response when sufficiently urged. _From a report of a classroom
teacher, for September 18, 1922, to January 31, 1923_.
It is still a problem to get A to make contributions to the
work of the class. His mind works along lines of special
interest at the time. Although urged by the parents to push A
a little harder, I have hesitated to do much urging. One
fears to stimulate unduly. And yet I find that A is learning
in many ways all the time. There are still, of course, some
definite needs.
Mr. P reports no marked improvement on the physical side.
However, on the side of participation in the sports of the
group, I find a great improvement in A. He appears to be
enjoying himself during a ball game, and even catches a ball
occasionally.
Miss B says she hopes that A will have some real country and
nature during the summer. He needs a chance to roam and think
and observe for himself rather than to learn facts from books
or other people.
In the French class his interest and attitude have improved.
_From report of a classroom teacher, for February 1 to June
15, 1923, on the occasion of A's promotion to the sixth grade_.
These remarks from teachers bring clearly to notice some of the
difficulties in adjustment to school procedure when a child has
a 12-year-old capacity for thinking and the body of a 7- or
8-year-old, combined with the life of a 6-year-old. Motor control
is, of course, far behind abstract thinking; writing is slow and
feeble, while reading is rapid and fluent; shopwork is poor but
arithmetic is excellent; he can surpass 8- and 9-year-olds--even
those of superior intelligence--in the classroom, but in playing
with them he cannot catch a ball and is always the last to be
selected when sides "choose up," because he is a handicap in any
playground competitions.
From these remarks and estimates it is also easy to see how such
a child may provoke adverse comments from teachers, may be found
unsuited to school organization, and eventually even be reputed
stupid or "foolish." Fortunately for A, most of his teachers have
had unusual training and have been rigidly selected, besides,
for insight and personality. If you have read Edison's biography,
you will recall that under teachers less highly selected young
Thomas "did not get on in school," was regarded as "foolish," and
eventually was removed from school by his mother, who educated
him at home, she herself being a teacher.
These difficulties of discrepancy between mental development
and physical development are seen to be greatest in the earliest
years of childhood. The judgments show that as A grew from his
sixth birthday to his ninth birthday, he became less and less
conspicuous in his poor penmanship and in his inaptitude at games.
MENTAL MEASUREMENTS
General intelligence tests of A have been made as follows:
DATE BIRTHDAY STANFORD-BINET ARMY ALPHA
AGE OF A MA IQ POINTS
A Norm A Norm A Norm
Dec. 30, 1920 6-6 12-2 6-6 187 100 (Not given)
Jan. 2, 1922 7-6 14-4 7-6 191 100 76 0 (Form 5)
Apr. 22, 1922 [1] 7-10 14-8 7-10 187 100 (Not given)
Feb. 22, 1923 8-8 (Not given) 95 0 (Form 7) [2]
_Mechanical skill_. On January, 2, 1922 (aged 7 years 6 months),
A was given the _Stenquist Assembling Tests of General Mechanical
Ability_ and he made a score of 7 points only. He could tell what
mechanisms were to be constructed from the materials in five
out of the ten instances, but he was not "handy" enough to put
them together. (The test depends very much upon size and strength
of hands and upon the degree to which motor coördination is
developed. Young children, therefore, of whatever degree of
intelligence, are unable to succeed in it).
_Musical sensitivity_. On February 22, 1923, Seashore's _Tests
of Musical Sensitivity_ yielded results as follows, using the
figures for eighth-grade children for comparison, because of A's
Mental Age:
TEST PERCENTILE (EIGHTH GRADE) PERCENTILE (ADULTS)
A A'S FATHER
Consonance Below 27th 36th
Pitch 91st 81st
Intensity 41st 26th
Time Below 17th 78th
Tonal memory 70th 9th
_Design_. On January 2, 1922, the examiner made the following note
in reference to A's performance with Milton Bradley color cubes
(with which he always asks to play when he comes to the laboratory):
The child can construct the most complicated designs with
Milton Bradley's color cubes in less than three minutes each,
from memory--the design being exposed to vision and studied
for one minute. Three colors are involved--red, blue, yellow,
and white.
TRAITS OF CHARACTER
A has not been rated by any scale for traits of character as,
for instance, were the children reported by Terman. There are at
hand only statements by persons who know A. The parents both say
that A has no troublesome traits of character except "a tendency
to fail to take his own part in a fight." If a child strikes him,
he often does not strike back but simply does nothing. His parents
feel that this indicates a lack of "give and take" that is
essential to getting along in the world. The parents describe
him as "especially honest, truthful, reliable, affectionate,
kind, generous, and modest, with strong control of his emotions."
Traits of A which are faulty from the point of view of teachers
are absentmindedness, lack of interest in group activities,
untidiness, and obstinacy. One teacher estimated him as "a little
bit selfish." The desirable traits most often mentioned by teachers
are kindliness, amiability, affection, good humor, reticence, and
precision in treating the data of thought. The following are
quotations from teachers:
I am so sorry about A's coat. I laid it on his desk, as he
was cooking when it came. . . . Evidently he didn't notice it
on his desk when he came in later. Knowing A's absent-minded
habits, I ought to have called his attention to the coat.
A is not neat nor orderly.
A still has lapses of inattention during class lessons.
He is slow to take advice.
He is affectionate and kindly, while not over-demonstrative.
The class in which he has been for a year and three months
was slow in accepting him, but now they appreciate his intellect
and his good humor, and treat him with the kindly tolerance
of older brothers and sisters. A responds to this attitude well
and loves to fool and frolic with the others, somewhat kitten
fashion. In the goal ball games he wants to play though he is
simply a figurehead, and he knows enough to obey the rules
and not get in anyone's way.
In working with a group, A is inclined either to be dictatorial
or to insist upon doing everything himself. This may be because
of youth or because he sees so clearly what is to be done, but I
think he is a little selfish and obstinate. A is a very lovable
child with a tender heart and a good deal of emotional capacity,
generally kept hidden, so he is not difficult to manage. It is
difficult, however, to make him assume responsibilities about
material or work which is irksome, such as writing, and he is
very untidy.
It has been a pleasure to have A in my class. He has been
friendly and pleasant in his relations with his teachers as well
as with his classmates.
The physician who attended A when his ankle was twisted in an
accident (mentioned later in this account) rated him very high
for courage.
The character traits which have stood out repeatedly and most
noticeably in the course of visits to the laboratory for mental
tests appear to the present writer to be amiability, reticence,
emotional control in the face of mishaps (such as falling off
a chair in a strange place and bumping his head severely), and
obstinacy in pursuit of his plans and activities. He does not seek
advice, and does not take it readily. He is easily bored by
unnecessary repetitions of matter once presented. For instance,
in certain mental tests, where the standard procedure demands
that the same question be asked several times (Stanford-Binet
fables, "What lesson does that teach us?"), A grew more and more
restive at each repetition, and finally said, "We don't need that
every time, do we?"
The nickname is an important datum in estimating a child. A's
nickname among the children at school is "Sleeping Beauty."
This name was given, the teacher thinks, because of A's abstraction
and because he was never ready in games.
PHYSICAL MEASUREMENTS AND HEALTH
_Physique measurements_. The following measurements were made by
the present writer, using the standard scales and stadiometer
of the Teachers College Laboratory. The measurement of cranial
circumference was made with a reinforced fabric tape.
[PART 1 OF 2]
DATE WT. HT. (STAND.,
(LBS.) IN.)
A Norm A Norm
Jan. 1, 1921 56.0 44.8 48.0 46.6
Sep. 17, 1921 [3] 58.0 128 cm
Jan. 2, 1922 66.5 51.7 50.3 48.3
Feb. 22, 1923 68.7 55.9 52.7 50.1
[PART 2 OF 2]
HT. (STAND., HT. HT.-WT. CRANIAL
IN.) (SIT., IN.) COEFF. CIR. (IN.)
A Norm A A Norm A
48.0 46.6 25.5 1.01 .96
128 cm
50.3 48.3 26.5 1.26 1.07
52.7 50.1 28.1 1.24 1.12 21.3
In the case of the measurements made in clothing, subtracting
.5 inch, the height of heels, from standing height, and 4 pounds
for clothing from weight, we see that in all measurements of
physique taken, A decidedly exceeds Baldwin's norms for the
selected children in good private schools.
_Grip measurements_. Grip in the hand has been repeatedly measured
with Smedley's dynamometer, with the following results:
GRIP (KG.)
DATE Right Hand Left Hand
A Norm A Norm
January 1, 1921 13.0 10.0 10.0 9.0
February 22, 1923 16.0 13.0 14.0 12.0
The superior size of A is, therefore, accompanied by superior
strength of hand.
_Growth curves of A and his brother compared_. In the case of A and
his young brother, we have two boys of the same ancestry, living
in the same school and home environment, both falling into the
highest one per cent of the population as respects intelligence,
yet very widely separated in terms of IQ. The repeated measurements
show that the children do not become either more alike or more
different as time passes, but that each remains a constant,
maintaining a static relationship to the other in mind and body.
The pressure of the similar environment does not bring them closer
together in ability.
_Nervous stability_. The supervisor who judged A's penmanship to be
inferior to that of the average child of 6 years, also interpreted
this difficulty in writing to be a symptom of nervousness,
especially when considered in connection with his abstraction and
general maladjustment to work of the second grade. For this reason
the parents obtained statements from two physicians who knew
A well, as to the child's nervous stability. The physician who
removed A's tonsils wrote as follows:
I am glad to state that he is as free from any nervous stigmata
as is possible for any child of his age. Because of his
brightness, he was treated as an older child before his tonsil
operation, and what was about to be done was explained to
him, and he underwent the anesthesia in a perfectly natural
manner. His convalescence was unusually rapid, and at no
time did he show the slightest indication of any neurosis.
From careful observation I can truthfully say that A would
pass the severest tests, and show no abnormality.
The other physician wrote:
At the time I examined A in 1917 I found no neuropathic stigmata.
In fact, he impressed me as a boy who was rather well developed
physically. By physically I mean inclusive of his nervous system.
A's parents rate him as "well balanced." The present writer would
rate him as far above the average child of his years in nervous
stability.
_Organic condition_. Physical examinations reveal no defect
except a serious degree of "progressive myopia." To correct
this, glasses are worn and the use of eyes is limited.
_Medical history_. A has always been healthy. He has never been
subject to a chronic disorder. He sleeps well and has a keep
appetite for food. As an infant there was never any trouble in
feeding him. He cried very little, and was easy "to care for."
When he was 3 years 6 months old he was almost run over by an
automobile, but escaped with a twisted ankle. After that, for
about a year, he had a series of boils. At the age of 5 years
A was threatened with a mastoid infection and the drum of his
right ear was pierced, liberating a large quantity of pus. Hearing
was not, however, impaired. Adenoids and tonsils were removed at
the age of 6 years. These had never been especially troublesome,
but the parents decided on the operation because A breathed
through the mouth. He has not had "children's diseases," and
except for the incidents narrated, his medical history is negative.
MISCELLANEOUS CHARACTERISTICS
_Diversions_. At the age of 5 to 6 years A had much difficulty
in playing with children of his own age because he could not be
satisfied with play involving merely sensory stimulation and
diffuse motor activity. He always tried to diver the play to
some planned end, to _organize_ it, in ways not appreciated
by others of his age. When he was 6 years old, boys of 12 to
14 years of age were preferred by A as playmates, and he would
join them whenever they would accept his company. However, he
had and continued to have chums of approximately his own age.
At the age of 6 years 6 months A's favorite diversions were
reading, playing games of intellectual skill (like geographical
Lotto), and playing in sand (building). At the age of 8 years
8 months his favorite diversions were reading, chess, and pinochle.
_Imaginary land_. At the age of 3 to 6 years A had an imaginary
land which he called "Center Land." This fantasy appears to have
started when his brother was born. When this event occurred
A asked just how it happened. His mother thereupon gave him
the real physiological facts. To these he made no immediate
comment. Several days later he said he had no doubt his brother
did come into the world in just that way, but that he, A, did
not. He, A, originated in Center Land, where he chose his father
and mother. Thereafter, the imaginary land developed rapidly.
In this land children stayed up all night. They could play with
fire whenever they wished. He lived there in a hundred story
house, with an elevator he could run by himself. Two playmates,
"Katharine" and another child, lived there also. By the age
of 6, this imaginary country had almost ceased to engage him,
and at the age of 9 he no longer thinks of it.
_Religious experiences_. Between the ages of 6 and 8 years (Mental
Ages 12 to 15 years) A became very religious. Prayer was regarded
as extremely sacred, and God was much reverenced. Now, at the age
of 9 years (Mental Age beyond the limits of ordinary maturity),
he is no longer seen to devote himself to these observations.
_Career ideas_. At the age of 6 years 6 months A wanted to become
"an eye doctor." "I like to tend to mother's eye. I like to tend
to people's eyes." At the age of 8 years 8 months, in answer to
the question, "What will you be when you grow up?" A replied, "I
will do something with arithmetic in it; whatever has the most
mathematics in it."
_Reading interests_. To the question, "What do you like to read?"
A gave the following responses:
(Age 6 years 6 months) "True books, like _The Fall of Jerusalem_--
that's the best one, and Burgess _Animal Books_, Burgess _Bird
Books_, _Our First Flag_, _The Arabian Nights_."
(Age 8 years 8 months) "Books about people who _really_ lived."
A has always preferred books of fact to books of fancy--"true
books," as he called them; but now he enjoys fairy tales more
than he did when he was younger. This may be because the fact
behind the fancy now makes a stronger appeal. The following list
represents six months' reading, from the age of 7 years 0 months
to 7 years 6 months, some of the books being read to A, to reduce
eyestrain. [4]
_On Plymouth Rock_ S. A. Drake
_Four Great Americans_ J. Baldwin
_Stories of New York_ A. T. Lovering
_The Children's City_ E. Singleton
_The Burgess Bird Book_ Thornton Burgess
_The Burgess Animal Book_
_The Empire State_ J. W. Redway
_Around the World with the Children_ F. G. Carpenter
_East o' the Sun and West o' the Moon_ G. W. Dasent
_Miles Standish_ H. W. Longfellow
_The Wreck of the Hesperus_ H. W. Longfellow
_Fables_ Bulfinch
_Aesop's Fables_
_Tales and Teachings from the
Pentateuch_ M. M. Joseph
_The Little Gray Grandmother_ Carolyn S. Bailey
_Stories of the Bible_ Louise M. Pleasanton
_The Pied Piper of Hamelin_ R. Browning
_Tanglewood Tales_ N. Hawthorne
_First Jungle Book_ R. Kipling
_Second Jungle Book_ R. Kipling
_Poems_ J. W. Riley
_Poems_ Eugene Field
_Poems_ R. L. Stevenson
_The Wonder Book of Knowledge_
_The Blue Bird_ M. Maeterlinck
_Historic Boyhoods_ R. S. Holland
_The Friendly Stars_ M. E. Martin
This list gives an idea of the reading preferences of A, at
the age of 7 years. Within the year following, the preference
for biography and autobiography developed.
_Interest in astronomy_. Because other very young children of more
than 180 IQ known to the present writer had been especially
interested in astronomy--particularly Child E--it was desired to
observe what would be the reaction of A if knowledge of astronomy
were made accessible to him. Books which had interested Child E at
the age of 6 to 7 years were therefore made accessible to A. He at
once became interested in the heavenly bodies and their movements.
_Tendency to classify and diagram_. A's love of classifying--
first noted at the age of about 12 months--is a conspicuous
characteristic. He classifies events, objects, names, numbers,
and other data of experience. He can think in terms of diagrams
and sometimes draws a diagram to clarify or condense his meaning.
_Lightning calculation_. A's keenest intellectual interest is
probably in numbers, and he has responded very readily to his
father's instruction in short-cut methods of calculation. By March,
1922, he could very quickly square any number up to 100; multiply
any two numbers of a sum not to exceed 200; square any number up
to 1000 ending in 5 such as 865, 935, etc.); square any number up
to 10,000, ending in 55 or in 555; solve problems in proportion,
such as 9 : 21 :: 21 : _x_, 8 ÷ 42 :: _x_ ÷ 21, 8 : 9 :: 10 : _x_,
subtract the square of one number ending in 5 from the square
of another number ending in 5, where the difference between
the two numbers is 10, or 20, or 30 (e.g., 2255² or 2245² or
3345² or 3325²). Also at that age he could calculate series of
operations, thus: "Take 2, square it, square that, divide by 4,
cube it, add 17, take the square root, add 7, square it, square it,
give the result," his calculations taking about five seconds each.
EDITOR'S SUPPLEMENT
The author's original write-up of Child A ends with the above,
written early in 1923. From records in the author's files the
following further data concerning later development may be added:
_December 26, 1923_
AGE: 9 years 6 months
SCHOOL GRADE: Sixth
TEST RECORD: Given Stanford-Binet by L. S. H. with Mental Age of
16-11. This would give IQ 178, but the comment is made, "Can no
longer be measured by Stanford-Binet." On this day also given
Army Alpha, with a score of 128 points, this being the score
assigned to chronological age 17 years 8 months.
PHYSICAL MEASUREMENTS:
Standing height 54.2 inches
Sitting height 27.9 inches
Weight 74.3 pounds
Head circumference 21.5 inches
Right grip 14, 17, 18
Left grip 14, 12, 14
TEACHERS' REPORTS. (Private school, September 22-December 19,
1924) "A's reports show that he has attained high credit in
mathematics and history; low credit in French, shopwork, art,
music, and physical training; average credit in other subjects.
His written work shows improvement.
"He presents the usual problem of the unadjusted. There is now
more alertness in his manner, but still a lack of the will to do
work because it is a group demand. Something more of maturity
has come to him with his greater freedom. He has started the
manual-training problem with some sense of self-discipline.
"If he will now attack his work with the mental grip of which
he must be capable, and give to the group the benefit of his
ability, it will be a joy to have him among us."
_December 22, 1924_
AGE: 10 years 6 months
SCHOOL GRADE: Seventh
TEST RECORD: On Stanford-Binet, passed 4 of the 6 Superior
Adult Tests, failing on Tests 1 and 4. Alpha score, 166 points.
PHYSICAL MEASUREMENTS:
Standing height 56.2 inches
Sitting height 29.4 inches
Weight 80.5 pounds
Head circumference 21.5 inches
Right grip 18, 18, 16
Left grip 19, 17, 15
_December 22, 1925_
AGE: 11 years 6 months
SCHOOL GRADE: Eighth
TEST RECORD: Passed all tests on Superior Adult level,
Stanford-Binet. Took two forms of Army Alpha. Form 7, 162
points, and on Form 5, 168 points.
PHYSICAL MEASUREMENTS: _Norm_
Standing height 58.1 inches 56.7 inches
Sitting height 29.4 inches
Weight 88.8 pounds 75.5 pounds
Head circumference 21.7 inches
_November 18, 1926_
AGE: 12 years 5 months
TEST RECORD: Score on Army Alpha, 175 points
PHYSICAL MEASUREMENTS: _Norm_
Standing height 60.0 inches 57.8 inches
(in shoes)
Sitting height 30.0 inches
Weight (without coat) 93.0 pounds 84.6 pounds
_January 12, 1929_
AGE: 14 years 7 months
SCHOOL GRADE: Third Year High School
TEST RECORD: Score on Army Alpha, 194 points
PHYSICAL MEASUREMENTS: _Norm_
Standing height 64.2 inches 62.2 inches
Sitting height 32.5 inches
Weight (clothed) 118 pounds 98.9 pounds
(stripped) 114 pounds
_October, 1929, to February, 1930_
SCHOOL GRADES:
English Literature C+
English Composition C
German B-
Geometry B+
Trigonometry B+
Science B+
_January and June, 1931_
AGE: 16 years 6 months to 17 years
SCHOOL GRADE: Now a freshman in college
TEST RECORD: Was given CAVD test, Levels M, N, O, P, Q, at
two different sittings--one in January, the other in June.
Score 422 points. (According to available information 400
points is twelfth-grade college entrance score in high-type
colleges, while 421 points is the upper quartile score of
candidates for advanced degrees in Teachers College, Columbia
University, the median being 415.)
_January 20, 1932_
At the age of 17 years 7 months, in the third year of college,
he scored 204 points on Army Alpha, Form 8, a score made
only by the top one per cent of college juniors, seniors, and
graduate students.
_November 23, 1939_
Notice was received of A's marriage.
[1] Demonstration test before a class of teachers.
[2] The score of 95 points on Army Alpha, Form 7, on February 22,
1923, corresponds to a mental level of 16 years, 0 months by
Stanford-Binet. This (if translatable into IQ) would result
in an IQ of 184.
[3] Measurements were made without clothing, by Dr. Herman Schwartz.
[4] The Burgess books had been read often before.
CHAPTER FIVE
CHILD B
Child B is a girl, born November 25, 1912. She was discovered
in a private school in the course of a systematic survey made
by Dr. E. H. Malherbe, who was at the time a graduate student
at Teachers College, Columbia University. To Dr. Malherbe the
present writer is indebted for introduction to this child, and
also for data on first tests as well as for other information.
FAMILY BACKGROUND
Child B is descended from colonial settlers in this country.
Her ancestors came chiefly from the British Isles, as set forth
in her family history. Her parents are not related by blood
so far as can be known.
The paternal grandfather was of English descent; the paternal
grandmother of Irish descent. No dependent or incompetent relatives
of the father are known. All are self-sustaining.
The maternal grandfather was of Irish-Spanish blood. The maternal
grandmother was of Irish descent. No incompetent or dependent
relatives are known.
_Father_. Child B's father was born in Vermont and was 42 years
old when B was born. He is a high school graduate and a graduate
of the United States Military Academy at West Point. He passed
the entrance examinations for the latter institution at the age
of 16 years and was at that time the youngest student ever admitted
to the Academy. He has held posts of extraordinary trust in the
pursuit of his profession, and is at the time of this writing an
officer of high rank in the United States Army.
_Mother_. Child B's mother is a graduate of a Catholic parochial
high school and of the College of Mount St. Vincent. She was
married at an early age and her career has been that of housewife
and mother, no profession having been followed previous to marriage.
Although she is the mother of seven children and mistress of a
large household, B's mother found time to attend courses in law
and economics at Columbia University while the family lived in
New York. She was 39 years old when B was born.
_Noteworthy relatives_. Relatives of note in the paternal branch
include B's great-grandfather, who was a physician, founder of the
Vermont Academy of Medicine in the early years of the nineteenth
century, and a professor of surgery there. There are also among
relatives an admiral of the United States Navy, [1] a physician
of wide reputation, a commander of the United States Navy, [2]
and a practical tin- and coppersmith who was an inventor. This
family branch as a whole finds its average level of achievement
in the professions.
The maternal branch includes a woman of extraordinary business
ability, a priest who was a scholar and organizer of marked
ability, and a mining engineer of unusual achievement. The
performance level of the family lies, on the average, in business
and the professions.
_Immediate family_. B is the sixth born of seven siblings. Of these
children, two--the brother born two years before B and the brother
born five years after B--have had mental tests. The older brother
was measured in the course of the mental survey made by Dr.
Malherbe. His IQ (S-B) at the age of 10 years 6 months was 167.
This is not a full measure of his brother, as he passed many tests
at the highest levels of performance provided by the scale.
A still older brother passed the entrance examinations for the
Columbia College, from which may be inferred intelligence above
the average. The younger brother's IQ (S-B) at the age of 6 years
10 months was 138.
PRESCHOOL HISTORY
The preschool history of B has been elicited from the parents.
She cut her first tooth at 7 months. She began to talk at 9 months
of age and to walk at 15 months. As soon as she was able to walk
out with her nurse or her mother, at about the age of 24 months,
B began to notice the letters on billboards and to spell out
words. By the time she was in the third year of life she could
read fluently in simple books. (The brother whose IQ is referred
to above as 167 did not read until he was about 4 years 6 months
of age.)
SCHOOL HISTORY
B has always attended private schools. She began her school life
in kindergarten, at the age of 3 years, and attended the same
school until the age of nearly 9 years. At the age of 8 years
4 months she had reached only the fourth grade, whereas in the
battery of educational tests given as a part of the school survey
she passed at that age the seventh-grade standards for public
schools.
In appraising the great discrepancy between school progress and
ability in this case, it is necessary to bear in mind that children
in some private schools are highly selected as regards intellect.
The median IQ in this particular school was shown by the survey
to be much above 100; so that B was not so hopelessly misplaced
in the fourth grade there as would have been the case had she
attended public school. The fact of competition with selected
children reduces the discrepancy, although it is still very great.
At the age of 8 years 9 months, B entered a private school
in Washington, D. C. Here she was placed in the sixth grade,
"skipping" the fifth grade. Her school reports have always been
very excellent, "almost always E in every subject."
In the autumn of 1922 B entered the seventh grade, aged 9 years
9 months. She was the youngest pupil in a class of about 20
children, and held first rank. "She leads in every regular subject
except catechism, geography, and history." B "likes all subjects
except catechism, giving first place, at the age of 9 years,
to arithmetic. Her school marks for 1922-1923 are as follows,
the marks indicating as is usual: 100, perfect; 90, very good;
80, good; 70, fair; 60, deficient."
B'S MARKS, GRADE VII. AGE 9 YEARS 10 MONTHS.
SUBJECT 1922 1922 1923 1923
Oct. 31 Dec. 15 Jan. 31 Mar. 27
Catechism 95 90 80 94
Grammar 92 94 85 90
Composition 87 88 85
Spelling 93 95 100 98
Letter writing 85 85 80
American history 85 80 88 90
Geography 94 87 90 94
Arithmetic 90 90 100 90
Oral French 95 95 96 95
Penmanship D C 75
Reading 90 91 85
Choral singing 80 80 95
Drawing 90 90 90
Plain sewing 80 85 85
Rules of observance 90 100 97 94
Bible history 94 90 86 93
At the age of 11 years B entered high school and is doing good
work there, but without much stimulus of competition, as there
are but a few pupils in her grade.
Unlike several of the children who have an IQ of more than 180,
B has never been a school problem. She has always been a "good
mixer" with children of her school grade, and has taken part in
their activities. Being a very large, strong child, she has not
been so much "out of it" in motor skill as to be conspicuous
among older schoolmates. As evidences of unusual manual dexterity
the following may be mentioned: at the age of 5 years B knitted
on steel needles a pair of socks which were worn by her little
brother; at 6 years she made edible rice puddings; at 7 years
of age she made cookies.
TRAITS OF CHARACTER
No one among parents and teachers has mentioned any character
trait considered faulty. The virtues most frequently mentioned
and emphasized are modesty, reliability, self-direction, poise,
good humor, amiability, and "being a good sport."
JUDGMENT OF TEACHERS
It is remarkable that no adverse comments have been offered by any
of B's teachers. All teachers have rated B high in character and
intellect. The chief error in judgment lies in not ranking her as
high as she really stands. This error arises partly from the fact
that teachers in the private schools B attended deal with selected
children whom they may come to think of as representing the average
of child ability. The judgments of B's teachers may be quoted as
follows:
Remembered in our kindergarten chiefly for her vivid imagination.
_From the head mistress of the school_.
One of the most popular children in the school. _From a teacher_.
It is some time since I had B as a pupil, but I am glad to
tell you my impressions of the child as I remember her.
She was a very quiet, unassuming member of the class. She
had remarkable powers of concentration, always finished her
work well in advance of the others and then found work for
herself until the class was ready to go on with a new subject.
With the children in both work and play she made no effort
to lead them, and although they recognized the fact that her
work was superior to theirs, they showed no resentment toward
B because she never made them feel her superiority.
B showed a mental poise that I have rarely, if ever, found
in a child. It was not so much a matter of a sudden keen grasp
of a subject, which might or might not be permanent. She
seemed to have the power, which is usually met only in mature
minds, of weighing, reasoning, and then placing for permanent
use the matter with which she was dealing. [3]
Always B appealed to me as a normal child, with unusual mental
poise. She was not at all uncanny or tiresomely intelligent.
_From a former classroom teacher_.
MENTAL MEASUREMENTS
Measurements of general intelligence of B have been made as follows:
DATE BIRTHDAY STANFORD ARMY ALPHA
AGE -BINET POINTS
OF B MA IQ B Norm
Mar. 3, 1921 8-3 15-8 189
Apr. 8, 1922 9-4 17-6 188 84 (Form 5) 0
Dec. 29, 1924 12-1 142 (Form 5)
PHYSICAL MEASUREMENTS
B was measured at the age of 9 years 4 months and again at the
age of 12 years 1 month, in light indoor clothing, with the
following results:
_Height and weight_.
[PART 1 OF 2]
DATE WT. (LBS.) HEIGHT (IN.)
B Norm [4] B Norm [5]
April 8, 1922 106.0 61.5 56.0 52.0
December 29, 1924 123.0 82.8 61.6 57.7
[PART 2 OF 2]
HEIGHT (IN.) HT.-WT. COEFF. CRANIAL CIR. (IN.)
B Norm [5] B Norm B
56.0 52.0 1.88 1.18 22.4
61.6 57.7 1.99 1.44 22.5
B greatly surpasses Badlwin's norms (making the usual allowance
for heels and clothing).
_Grip measurements_. Measured with Smedley's dynamometer, B's
hand grip scores as follows:
DATE GRIP (KG.)
Right Hand Left Hand
April 8, 1922 13.0 11.0
December 29, 1924 20.0 18.0
Superior size is therefore accompanied by superior strength.
MISCELLANEOUS CHARACTERISTICS
_Diversions_. At the age of 9 years B listed her favorite diversions
thus: "All sorts of outdoor games; then reading; then drawing;
then playing with dolls, sometimes."
_Imaginary land_. "When I was 8 years old my imaginary countries
were generally of grownupness, where I figured as chief actress
and queen."
_Career ideas_. At the age of 9 years B was asked, "What will you
be when you grow up?" B responded promptly, "A doctor." Then
she added, "I will learn to sing, too. Perhaps I'll sing to the
patients. There are so many things to do. I'll try to combine
several things." Now, at the age of 12 [[1925]], she is ambitious
to become "a celebrated authoress, actress, artist, and musician."
_Reading interests_. When asked how many books she had read (April
8, 1922), B replied, "Oh, hundreds and hundreds. We have plenty
of books." It is characteristic of her that she reads over and
over again a book that especially pleases her. Thus she had read
nearly all of Louisa Alcott's books twice each, and had read _Lady
Luck_--at that date her favorite book--several times. She had
read a great many books written for boys, and remarked, in trying
to describe her preferences, "I like boys' books best. They
have more in them than girls' books."
_Tendency to organize other children_. B is the only one of the
children here reported who shows any success or interest in leading
or organizing fellow children. She organizes "clubs" and games.
When shown the Civil War code, in the course of mental tests, she
remarked, "I must remember that, for it will be fine for my
Clip-Clap-Club."
[1] Rear Admiral John W. Phillip. (Callahan, E. W. _List of
Officers of the United States Navy and of the Marine Corps._
Hamersley & Co., New York; 1901.)
[2] Commander E. T. Woodward.
[3] At this time B's intelligence was about that of the average
adult, according to mental tests, though the teacher made this
comment without having that knowledge.
[4] Baldwin's norms for children 9 years 6 months old.
[Transcriber's note: The second row is clearly from a different,
and likely the corresponding, age norm].
[5] Without shoes.
CHAPTER SIX
CHILD C
Child C is a boy, born June 15, 1913. He was brought to the writer's
attention by the principal of Public School 157, Manhattan, who
wrote as follows, requesting an examination in the laboratory at
Teachers College, Columbia University:
I have in the 5A grade of this school a boy . . . who seems
to be somewhat of an infant prodigy. His verbal memory,
especially, is phenomenal, but he is underdeveloped on the
physical side, takes no interest in Manual Work, and does not
like to play with other children.
FAMILY BACKGROUND
Child C is descended, in both lines, from German Jews. His parents
are not related by blood.
The paternal grandfather was a successful businessman. The paternal
grandmother was a competent housewife. A paternal uncle is a judge
in New York City. No incompetent relative in this branch is known;
on the other hand, there is no one of great eminence.
On the maternal side, one of C's mother's brothers is a physician,
a cousin is a writer, and another cousin is a judge. No incompetent
relatives are known in this branch.
_Father_. C's father is an accountant. He did not graduate from
elementary school but went to work at an early age. He was 40 years
old when C was born.
_Mother_. C's mother is a high school graduate. She was 35 years
old when C was born. She is a housewife, and had no paid occupation
before marriage. C is an only child, never having had any siblings.
PRESCHOOL HISTORY
The following information was gathered from C's mother. The child
cut his first tooth at the age of 9 months. He began to walk at the
age of 1 year 3 months, and to talk fluently at the age of 1 year
4 months. He learned to read almost as soon as he talked, and at
the age of 3 years could read simple matter.
When he was 4 years old, C went one day into a store with his
father. While the latter was making his purchases the child took a
book from the shelf and began to scan it. The shopkeeper noticed
the child looking attentively at the book and said, for a joke,
"Boy, if you will read me that book, I'll give it to you."
Instantly C began to read fluently and carried the book away
from the astonished merchant.
On another occasion, when he was about 5 years old, a woman noticed
C searching about the house and said to him, "Are you hungry?" His
reply was, "Yes, I'm hungry for a book."
Apparently C has never had an imaginary land. His favorite
recreation has always been reading.
SCHOOL HISTORY
C's school life began at the age of 6 years. He did not
attend kindergarten. His teachers recognized him as "out
of the ordinary"--but not in any appreciative way. They
thought him "queer" and "odd." In spite of perfect work,
he was advanced only a little more than the usual rate,
being placed in Grade 5B at the age of 9 years 5 months.
His obvious misplacement and unhappiness here caused the
principal of the school to seek advice regarding C's education.
After mental tests had revealed the mental level of a superior
adult, C was invited to enter the Special Opportunity Class then
just organized at Public School 165, Manhattan. Here he was
associated with twenty-five classmates of his own age whose IQ's
ranged from 150 to 175, the median of the group being about 164 IQ.
In this class C gradually became adjusted to the work in such a way
that at the end of the school year (1923), when asked whether he
would prefer to stay in the Special Opportunity Class or go on to
high school, he unhesitatingly chose to stay with the special
class. "It will be more interesting," he said. He therefore
finished elementary school at the age of 12 years, although at 10
he was judged by his teachers to be fully prepared in knowledge
to enter senior high school. There is no doubt that he could
have been made ready to enter college at the age of 12 years.
When asked at the age of 9 what he would be when he grew up,
the following conversation took place:
Q. What do you think is the most interesting vocation? What
would you like to be when you grow up?
A. Well, the answer to those two questions is not the same one.
Q. Then tell us first what you think is the most interesting
vocation.
A. Science, especially astronomy.
Q. And what vocation would you like to follow when you grow
up?
A. To be a medical doctor.
Q. But why not be what is most interesting?
A. Because a person cannot make much money being an astronomer.
I never heard of anyone at the Lick Observatory earning
fifty thousand dollars a year.
Q. But do medical doctors earn fifty thousand dollars a year?
A. It is possible for one to do it. Some of them do.
Q. Do you think being a medical doctor is the most lucrative
occupation?
A. No. It would be more lucrative to get into Standard Oil.
Q. Then why not go into Standard Oil?
A. Because it isn't so interesting as being a medical doctor.
Q. Which is the more useful occupation--medical doctor or
astronomer?
A. Medical doctor. Because a man does not care much for a
blazing star a million miles away if his wife is sick. Anyone
cares more for a _person_ two feet away than for a _thing_ a
trillion miles away.
The ambition to become a medical doctor has persisted for three
years and gives an impression of permanency. [1]
Scores of anecdotes could be cited to illustrate the interests and
the fine intelligence of this boy. In walking through the halls of
the college with him, on one occasion when he had come for a mental
test, the present writer saw what seemed to be an exhibition of
Chinese costumes in a glass case, and called C's attention to it,
saying, "Look at this exhibition of Chinese work." C looked
closely at the exhibit for several moments without comment,
and then said, "Well, I believe it is Japanese work, isn't it?"
He then proceeded to point out certain minute differences which
are found between the work of Japanese and Chinese and which were
later verified by an authority on the subject.
When he went with his class to visit a new high school building
in the city, he was missed as the others began to move from one
corridor to another. After search, he was found in the chemical
laboratory copying in a notebook the names of all the chemicals
in the bottles as they appeared on the labels.
In the Opportunity Class C was appreciated by these children
of more than 150 IQ as he had never been by the unselected children
in the regular classes. They recognized his encyclopedic knowledge
and respected it. They eventually elected him to two posts of
responsibility among them. These were totally new experiences for C.
Another new experience for the boy was that of being equaled
by another child in an intellectual performance. Although C led the
special class in marks, as would be expected, he was nevertheless
occasionally equaled or surpassed in one or two subjects in the
month's record. He learned for the first time how to adjust himself
to successful competitors in his own particular field.
TRAITS OF CHARACTER
A few faulty character traits in C have been noted by teachers.
One teacher said, "He is somewhat of a prig." This impression
appears to have been based partly on his lack of desire to play
with children of his own age and partly on his use of "long
words." Soon after C entered the Special Opportunity Class for
gifted children, another boy equaled him in an assignment and
put out his hand to C, saying cordially, "Let's shake." C had
never had the experience of being equaled by a fellow pupil and
he turned away, refusing to shake hands. However, he has now
learned to react most cordially to those who equal him, though
he bitterly dislikes to be equaled or passed in mental work.
Never in any sense a leader or guide among the unselected children
of the school from which he came, C was soon elected to the
position of monitor by the children of median IQ 164. They were
heard to say: "C is just; C can make us behave." One child (IQ 164)
exclaimed in admiration, "C knows _everything_."
On the other hand, C arouses some feelings of jealousy and
antagonism as well as admiration because he does not hesitate
to contradict erroneous statements or to rectify imperfections
in what others say or do. He is not very tactful in human
relationships.
The virtues most frequently ascribed to C by those who know him
well are reliability, honesty, bravery, and loyalty. He is a
stickler for the exact; no statement is right unless it is exactly
right. It is easy to see how this trait might antagonize average
children of C's age, and even teachers and others in authority.
MENTAL MEASUREMENTS
Measurements of general intelligence of C have been made as follows:
DATE BIRTHDAY STANFORD-BINET ARMY ALPHA POINTS
AGE OF C MA IQ On October 30, 1922,
Sept. 26, 1922 9-3 17-7 190 he scored 146 points
April 18, 1923 9-10 18-6 188 (Form 9)
PHYSICAL MEASUREMENTS
Measurements of C's physique have been made as follows:
DATE WT. HT. CRANIAL
(LBS.) (STAND., IN.) CIR. (IN.)
Sept. 26, 1923 60.5 53.9 . . .
Jan. 8, 1924 . . . . . . 20.7
C is one of the few of the bright children studied who does not
exceed Baldwin's norms in physique. However, at the age of 11 years
7 months he was 57 inches tall and weighed 69.9 pounds. His
appetite for food has never been very satisfactory, but in spite
of this his general health has been good.
EDITOR'S SUPPLEMENT
The author's original write-up of Child C terminated at this point,
in 1923. But during the following 16 years she remained in constant
contact with C, interviewing him and testing him periodically, and
in many ways sponsoring his secondary, collegiate, and professional
education. Many pages of these records are in her files, accompanied
by collections of C's work, newspaper notices, correspondence,
photographs, and data from further interviews with the parents.
It seems best to summarize these records chronologically, and with
some brevity, since it would not be at all feasible to reproduce
the material in full.
_October 15, 1923_
C filled out an "Interest Blank" at P. S. 165, Manhattan, where he
was then in the eighth grade, at the age of 10 years 4 months. He
was at this time, or had been, class monitor and editor of the
class paper. "Likes and dislikes" were expressed, strongest
"preference" of subjects, and judgment of "what is easiest."
_Liked very much_ were literature, reading, spelling, mathematics,
French, games and sports, and geography.
_Most disliked_ were painting, water colors, etc.; penmanship;
composition.
"_Easiest_" and also "_best liked_" was English literature.
_Preferred kind of reading_ was encyclopedias, biography, current
events, and history.
_Things most like to do_ were studying, general reading, sedentary
games, playing alone.
_Most disliked things to do_ were using tools or working with
apparatus and machinery, drawing, dancing, practicing
music.
[[This dislike for manual activities remained with C. In later
years, although his drawings in science courses were admirable,
he made an unsatisfactory laboratory assistant when set to using
the typewriter or mimeograph, or to drawing graphs and charts
not for his own use.]]
FIG. 2. A SKETCH BY c.
[The sketch is a bit of a doodle, headed by the word "GOSSIP,"
followed by the first row, which begins with a pair of
shoes set toe-to-toe (the phrase, "OF SHOES" is set to the
right of them), and a large steam ship ("AND SHIPS", to the
left). The next row consists of a stick of wax (labeled "WAX",
with "AND SEALING WAX" above it). The last row beings with an
open head of cabbage ("AND CABBAGES" to the right), and has a
crown at the end ("AND KINGS", is set to the left of it).]
FIG. 3. A PAGE FROM ONE OF C'S NOTEBOOKS.
[This figure shows two biological diagrams of what appears to
be a cross-section of the mucus membrane of the esophagus. The
following regions of the first are labeled (in descending
order): tunica mucosa; tela submucosa; tunica muscularis; and
tunica adventitia. The following areas of these regions are
labeled (also in descending order): papilla of tunica propria;
epitheum, tunica propria; lamina muscularis mucosae; ducts
of deep oesophageal gland; blood vesses of submucuous layer;
portion of myenteric plexus, showing ganglion cells; smooth
muscle; striated muscle; and branch of vagus nerve. It conforms
with modern diagrams of the esophagus.]
[The second diagram appears to be a cross-section of the
intestinal wall, and is horizontally oriented. The left region
is labeled "gastric pit," and the right region, "Tubule of
gland." Areas of the left region are labeled "Lumen," "Mucus
(goblet) epithelial cells," and "Tunica propria." The right
region has labels of "parietal cells," "chief cells" and
also a separate cross-sectional picture labeled "tubule cut
transversely." It conforms with modern diagrams of this area
of the intestinal wall.]
_February, 1924_
At this time the Special Opportunity Class teacher (P. S. 165,
Manhattan) rated C, on a school information blank, for a long
array of "physical, mental, social, and moral traits," using
a 7-step rating scale (1 being the highest scale).
Ratings of 1 were given for--
Truthfulness Common sense
Desire to know General intelligence
Originality
Ratings of 2 or 3 were given for--
Prudence and forethought Conscientiousness
Self-confidence Permanency of moods
Will power and persever- Desire to excel
ance Cheerfulness and optimism
Freedom from vanity and Leadership
egotism Sensitiveness to approval or
Sympathy and tenderness disapproval
Ratings of below 3 (average or below) were given for--
Health Fondness for large groups
Physical energy Popularity with other children
Musical appreciation Generosity and unselfishness
Appreciation of beauty Mechanical ingenuity
Sense of humor
_September 15, 1924_
At this time the author (L. S. H.), who had known C for two
years, independently rated him on this same array of traits
by the same rating scale technique.
Ratings of 1 were given for--
Prudence and forethought Sympathy and tenderness
Self-confidence Conscientiousness
Will power and persever- Truthfulness
ance Desire to know
Appreciation of beauty Originality
Sense of humor Common sense
Desire to excel General intelligence
Ratings of 2 or 3 were given for--
Cheerfulness and optimism Sensitiveness to approval or
Permanency of moods disapproval
Leadership Freedom from vanity or ego-
Popularity with other chil- tism
dren Mechanical ingenuity
Ratings of below 3 (average or less) were given for--
Health Generosity and unselfishness
Physical energy Fondness for large groups
Musical appreciation
The only striking differences between the two sets of ratings
are in sense of humor and appreciation of beauty, in which C
was rated low by the teacher and high by the author. It appears
to the Editor, who also has a more or less intimate acquaintance
with C, that a composite of these ratings, made when the child
was 11 years old, gave an adequate portrayal of him as an adult
of 27.
_April 18, 1925_
At the age of 11 years 10 months, C was again given the
Stanford-Binet examination by L. S. H. His score was 18 years
6 months, and he was recorded as being "no longer measured"
by this test.
_January 16, 1926_
At this time C was in a private high school, being then 12 years
7 months old.
On these data his score in Army Alpha (Form 5) was 195
points.
He was given an early form of the IER Test for Superior Adults,
CAVD, and the score is given as 43.5 (perhaps this should be 435).
The comment of the scorer in the Institute of Educational Research
was: "This puts the boy well into the college graduate class. He
excels about 75 per cent of the Yale Law freshmen."
_January 26, 1927_
C was now age 13 years 7 months, and he was in the second year
of high school.
He was given the IER Scale CAVD for Superior Adults in two
installments, beginning January 30 and finishing February 13.
The score was 435 points, and the comment is, "As good as best
Yale Law School freshmen and as high as top 4 per cent to 5 per
cent of Teachers College candidates for M. A. degree."
Also in January, 1927, in the psychological laboratory of Barnard
College, C was given by the present Editor an array of tests
for which norms were available for Barnard freshmen, from the
work of F. E. Carothers (_Psychological Examination of College
Students_). The scores made are in the following tabulation
expressed in terms of the PE of the distribution of 100 Barnard
freshmen.
SCORES MADE BY C AT AGE of 13 YEARS 7 MONTHS IN TERMS OF PE OF
DISTRIBUTION OF 100 BARNARD FRESHMEN
_Unless otherwise indicated, the score is "plus."_
TEST C's SCORE
Word Building (AEIRLP) 3.22 PE
Completion (Trabue A) 3.09
Directions (Woodworth-Wells) 2.78
Word Recall (Mulhall) 2.72
Analogies (Woodworth-Wells) 1.66
Logical Recall (Proverbs) 0.49
Naming Opposites (Woodworth-Wells) 0.16
Substitution (Digit-Form) 0.07
Color Naming (Woodworth-Wells) -0.06
Cancellation (Digits) -0.15
Word Recognition (Mulhall) -0.27
Logical Recognition (Proverbs) -0.64
Number Checking -0.81
Verb-Object Associations -0.86
On those of the above subtests most nearly like the content
of present general intelligence examinations, C is clearly
above the standard for the freshmen group, being in fact at
the very top of the list, about 3 PE above average.
Most of the things on which C scored (slightly) below average
are simple and more or less mechanical. This result may perhaps
be confirmed by his score in Stenquist Assembling Test, Series
I, given on the same day. His T-score was 58, placing him only
a little above average (67th centile) among 13-year-old children.
It will be recalled that C was uniformly rated low in "mechanical
ability" and also
expressed a lack of interest in "working with machinery."
On this day C was also given the Rosanoff High Standard Frequency
Test (Word Association) based on Class A words only. The available
standards (Rosanoff) and also C's score
are given in the following:
Fifth grade, total value 15
First year high school 100
First year college 375
Master's degree 600
Starred men of science 800
C's score 823
_August 23, 1931_
At the age of 18 years 2 months, C was in his third year of college
(Columbia). On this date he was again given IER Intelligence
Scale CAVD, Levels M, N, O, P, Q, and his score was 446 points,
which is as high as any score recorded on this scale.
_December 26, 1932_
At the age of 19 years 6 months, in the fourth year of college,
C scored 210 points on Army Alpha, Form 8, a score equaled only
by the top 1 per cent of college seniors.
LATER SCHOOL HISTORY
Subsequent to the Special Opportunity Class, in 1923, in P. S. 165,
Manhattan, C completed his high school work, first in a private
school and later in a public high school (George Washington)
in New York City. During these years he received various academic
honors and prizes, or medals, for proficiency.
In the high school from which he was graduated in 1929, he was
vice-president of the French Club. He won a city-wide contest
in French composition, for which he received a medal. He was
elected to Arista, the high school honor society, and ranked
third in his class upon graduation, with an average grade of 94
(the two better were 96 and 94.5). In connection with his high
school work he was awarded a state scholarship of $150.
Upon graduating from high school, C applied for and competed for
a Pulitzer scholarship, and he was awarded a scholarship as the
highest-ranking boy among the competitors. This enabled him to
enter Columbia College, to which he was admitted in 1929.
He was graduated from Columbia, taking the premedical course,
in 1933, being elected to Phi Beta Kappa. During the previous year
he also won a current events contest conducted by a metropolitan
newspaper, with a prize of $150.
C was admitted to the New York University Medical College, from
which he was graduated with the degree of M.D. He is now (1940)
serving his internship in hospitals in New York City.
[1] C is now, 17 years after the recording of this comment, engaged
in the profession of medicine. EDITOR
CHAPTER SEVEN
CHILD D
Child D is a boy, born March 9, 1910. [1] He was first described
by Terman, who tested him in 1917. D, like E, was brought to the
attention of the writer by the principal of the Horace Mann
Kindergarten (Teachers College, Columbia University) as being
a child of remarkable endowment. He was at that time 7 years
4 months old and had a Mental Age of 13 years 7 months, with
an IQ of 184 (S-B).
FAMILY BACKGROUND
D is descended from Russian Jews in the paternal branch and from
English Jews in the maternal branch.
_Father_. D's father immigrated to America at an early age. He
is a high school graduate and was a student of engineering but
abandoned these studies in the third year to do newspaper work,
and later entered the advertising business in a large city.
His leisure is spent in writing, and he has published a number
of books, including three novels and a philosophical drama dealing
with religion. His first book, a novel, was published when he
was 21 years old. He was 28 when D was born.
_Mother_. D's mother went to school for only a few weeks and has
been largely self-taught. Before marriage she was statistician
and registrar in a large philanthropic organization. She has
published stories, reviews, and poems, and a book on education.
She has always taken part personally in the education of D.
She was 26 years old when D was born. D is an only child.
_Noteworthy relatives_. Noteworthy relatives beyond the first
degree of kinship include the following: a chief rabbi of Moscow,
who was exiled for aiding the Nihilists; a distinguished lawyer;
a man who by his own efforts became a millionaire; a concert
pianist; a composer and virtuoso; a writer; and "a relative
decorated for science in Poland."
The maternal great-grandfather was a famous rabbi who compiled
and published a Jewish calendar covering a period of 414 years.
This calendar contains, in regular order, the exact period of every
new moon's appearance, the sabbaths, festivals with scriptural
portions for each, and the equinoxes of the solar year according
to the prescribed and authorized Jewish laws and corresponding
to dates in the common era. The tabulations have been carefully
compiled from various works of ancient rabbinical astronomers,
with annotations in Hebrew and English.
This rabbi was also the great-grandfother of the four first cousins
of D, whose intelligence quotients have been taken, and who
rated 156, 150, 130, and 122, respectively. A second cousin
in the maternal line yielded at the age of 6 years an IQ of 157.
PRESCHOOL HISTORY
D cut his first tooth at 4 months of age. He could say words at
8 months and talked in sentences at 11 months. In November, 1910
(8 months), he said "little boy" when his shadow appeared on the
wall. D could stand, holding to chairs, at 9 months of age, and
he walked alone at 11 to 12 months. At the age of 18 months,
while sitting on his mother's lap as she sat before a typewriter,
he learned to read by looking at the letters. The records kept
by the mother indicate that he "learned to read and count in 1911."
One such record reads, "October 11, counts all day long."
At 8 months of age D strung in succession 5 yellow and 5 red balls
and then began on blue, when the activity was interrupted. In
March, 1912, he was using words to express relationships, such
as "will" and "shall" (correctly), "but," "and," "my," "mine."
At 2 years 6 months his vocabulary (incomplete) was 1690 words.
D's earliest memory goes back to 2 years of age, when he saw a rat
and thought it was "a little brownie." An example of the quality
of the questions asked by D in the first 36 months of life is one
he asked in October, 1911 (19 months): "Has every door two knobs?"
"Why?" His mother reports: "He was always asking unexpected
questions."
This child was not placed in school at the usual age because
he did not fit into the school organization. At the time he should
have entered kindergarten D could read fluently and could perform
complicated arithmetical processes. His intellectual interests were
far beyond those of even the highly selected children of a private
kindergarten. Therefore, his parents kept him out of school and
obtained the companionship of other children for him by sending
him to a playground.
D was first seen by the present writer [[L. S. H.]] while he was
attending this playground, in the year 1916-1917. It is very
interesting to note how D made social contacts with the other
children while pursuing his own interests. For instance, he
published a playground newspaper called "The Weekly Post." [2]
He composted, edited, and typed this paper, issued at intervals,
and it had a regular playground circulation.
TRAITS OF CHARACTER
No faulty traits of character have been ascribed to D by parents
or teachers interviewed. He was rated for character by Terman's
method under Terman's direction, with a result of 1.93 from
parents' estimates and 1.90 from teachers' estimates (the median
score, for comparison with average children, being 3.00). D is thus
rated by parents and teachers alike as well above the average
in character. The desirable traits most often mentioned are refusal
to lie, loyalty to standards once adopted, readiness to admit
just criticisms, unselfishness, and amiability.
MENTAL MEASUREMENTS
General intelligence tests of D show the following results:
DATE BIRTHDAY STANFORD- ARMY ALPHA THORNDIKE TEST
AGE BINET POINTS FOR FRESHMEN
OF D (POINTS)
MA IQ D Norm D Norm
Aug., 1917, 7-4 13-7 184
Jan. 29, 1921 10-11 Passed all 185 --
for Super. (Form 5)
June, 1922 12-3 Adult. 106 70-80
It is thus seen how greatly D suprasses the average child in mental
tests. In the five years which have elapsed since D's first test
there has been no tendencey to become mediocre. At the age of
7 years he showed an IQ of 184; at the age of 11 years he exceeded
by a wide margin on Army Alpha the median score for postgraduate
students in first-rate universities; at 12 years he far exceeded
the median score of college freshmen on Thorndike's test for that
group. The validity of these scores is consistently borne out by
the school history.
PHYSICAL MEASUREMENTS
The following measurements, as of May, 1922, were made in the
gymnasium of the high school attended by D: [3]
WEIGHT (LBS.) HEIGHT (IN.) HT.-WT. COEFF.
D NORM D NORM D NORM
76.0 82.8 64.0 57.7 1.19 1.44
D's health has always been excellent and no physical defects
are known to his parents. He is rated as very stable nervously.
His slenderness has been rated as a defect by one examiner;
although he greatly exceeds the norm in height, he falls below
in weight. He is therefore very tall and slender in appearance,
which is characteristic of his father and uncles.
MISCELLANEOUS CHARACTERISTICS
_Diversions_. At the age of 7 years D's favorite amusements were
skating, "Mechano," reading, playing ball, writing, tabulating,
solitaire, chess, and numerical calculation in all its forms.
As development has proceeded, he has continued most of these
recreations, turning more and more, however, to games of intellectual
skill. He likes other children and likes to be with them; he
has established relations with them by editing newspapers for them,
teaching them about nature, and the like. Play in the sense of mere
purposeless sensorimotor activity has not been enjoyed by him.
_Imaginary land_. From the age of about 4 years to about the age
of 7, D was greatly interested in an imaginary land which he called
"Borningtown." He spent many hours peopling Borningtown, laying out
roads, drawing maps of its terrain, composing and recording its
language (Bornish), and writing its history and literature. He
composed a lengthy dictionary--scores of pages--of the Bornish
language. The origin of the words "Borningtown" and "Bornish"
is not known. It seems possible that D's imaginary land may have
arisen out of the mystery of being born.
_Gift for music_. D has had piano lessons for several years, and
he has displayed remarkable ability to deal with the mathematical
aspects of music. A sample is shown of his musical composition,
illustrating his understanding of musical symbols and his ability
to interpret through this medium. He composed music before he had
any instruction in playing musical instruments. He read certain
booklets which came with Ampico and decided to compose. He can
compose music which he cannot himself play.
FIG 4. PART OF A COMPOSITION BY D AT AGE 8 YEARS 7 MONTHS.
[The composition is titled "Op. 1, Dog's Dance," in A Major,
with a "Tempo 75," "Moderato," in 8/8 time. The composition is
marked by 16th-note flourishes, eighth-note triplets, each stave
occasionally briefly changing from their original clef to
opposite clef (e.g., from treble to bass clef or vice versa) and
back again, a dedication ("Dedicaded [sic] to 'Brutus' my aunt's
dog,"), and the following directions to the pianist, mirroring
the dog's activity, appearing under the bass clef: "Asleep"
(1st measure), "Bell rings" (2nd measure), "Gets up" and "barks"
(3rd measure) "scampers" (4th measure), "scampers back" (6th
measure), "rests" (measures 7 & 8), "Hears footsteps" (9th
measure), "trots" (end of 10th measure), "Ball is thrown"
and "Scampers after it" (11th measure), "Ball stops" (13th
measure), "He foosle-woosles it" (14th measure), "Trots back"
and "Drops it" (15th measure), "Regrets it" and "Trots" (16th
measure), and "Drops it" (17th measure). There are very few
errors in notation for a hand-written composition of this
complexity; the errors that are made appear to be simple
oversights, such as using quarter-notes in a triplet instead of
eighth notes, using a half note when only a quarter beat remains
in the measure, and the like.]
_Gifts for form and color in drawing_. D's talent for color,
for drawing and design, has been marked from the time he could
wield a pencil. His drawings, paintings, and designs would fill
a book by themselves. A sample of his original work at the age
of 10 years is reproduced.
FIG. 5. DRAWN BY D AT AGE 9 YEARS 9 MONTHS.
[This is a drawing of a small bird. The beak is somewhat
elongated, the legs straight, and the eye quite large, appearing
similar to simplified / stylized animals on a crest.]
This conventionalized bird is a fragment from his decoration
for the chest in which he kept his "scientific work" at that
time. This oblong chest he painted Chinese red, with three figures
on the front. These were the conventionalized bird here shown, a
conventionalized nest with eggs, and a conventionalized butterfly--
all painted in striking combinations of yellow, blue, green,
and red.
D loves color, and one of his favorite playthings has been a
sample folder of silk buttonhole twists of three hundred shades.
Between the ages of 8 and 9 years he would go over and over these,
classifying the colors in various ways, scoring them for beauty,
and renaming them to satisfy his appreciation of them. Some of
these names will give an idea of his appreciation:
spotted pale dark darking green
darkling green regular green
shame blue paper white
spoiled pink apron blue
soft light pink beau yellow
meadow beauty pink visitor's green
cat black alien white
royalest red feeling blue
One of his favorite games (aged 8 to 9 years) was to assign
a numerical value to each of the 300 shades and then to list
them for "highest honors." "Royalest red" nearly always won
in these contests.
_Origination of new concepts and new words_. From earliest
childhood D has felt a need for concepts and for words to express
them that are not to be found in dictionaries. His occupation
in this field he calls "wordical work." Some examples are recorded
by his mother in the following note dated December, 1916.
Was having his dinner and being nearly finished said he
didn't care to eat any more, as he had a pain in his actum
pelopthis. He explained that his actum pelopthis, actum
quotatus, serbalopsis, and boobalicta are parts of the body
where you sometimes have queer feelings; they don't serve any
purpose. He said he also had a place called the boobalunksis, or
source of headaches; that the hair usually springs out from
around the herkadone; that the perpalensis is the place where
socks end, and the bogalegus is the place where legs and tummy
come together. He also named one other part, the cobaliscus or
smerbalooble, whose function is not explained. The definitions
are exactly as he gave them in each instance.
On February 23, 1917, his mother wrote:
He has not referred to these places since. I do not know where
he got the idea for such names, unless possibly from _The Water
Babies_. He would probably refer them to some Bornish source.
The invention and classification of the Bornish language already
referred to is another example of D's "wordical work." He has also
invented hundreds of words which have not been included as Bornish.
An example of his hand-writing, illustrative of words he has
invented, classified, and recorded for pleasure, is here shown.
FIG 6. ONE OF D'S VERBAL INVENTIONS.
[The word defined is written as "Ob(b)iquicki(e)us" (the
"e" is circled, perhaps suggesting a later revision to combine
the "o" and "e") The definition which follows is: "Obiquickeous
is a cube sensibilitant word. One of the most important words.
It is an adj. and a noun."]
_Invention of games_. D has invented many games. To illustrate
this aspect of his mental capacity, there are his designs for
three-handed and four-handed checkers. [4] D held that these would
be better games than two-handed checkers because they are more
complicated. A description of the games invented by D, together
with his mathematical calculations concerning the chances and
probabilities in each, would fill many pages.
_Calculation and mathematical ingenuity_. It is difficult to
say that D is more gifted in one mental function or group of
functions than in others, for his ability is so extraordinary
in all performances that without means of measurement one cannot
tell in which he deviates farthest from the average.
However, it is to be observed that the quantitative aspects of
experience have always played a very striking role in all his
performances. Even in dealing with color he turned to mathematics
and made his values quantitative. Throughout childhood he spent
hours playing with numerical relationships. These calculations
cover hundreds of pages. There is reproduced here a sample of such
work, chosen at random from scores of like material. There is no
doubt in the mind of the present writer [[L. S. H.]] that D could,
by practice with short-cut methods, easily become a lightning
calculator. By age of 12 years D had finished college entrance
requirements in arithmetic, algebra, geometry, and trigonometry,
all with high marks.
FIG. 7. Playing with numbers, Child D, age 7, to find what
number under 100 has the greatest number of factors, counts
up factors in each and awards "highest honors" to 96.
[This figure lists the numbers 86-100, and shows the numbers
factored. The winning numbers he included are 96 (6 [factors]),
48 (5), 24 (4), and 16 (4). It appears that he ranked the
"winning" numbers not according to the actual numbers of the
places (i.e., 1st, 2nd, 3rd, and 4th places), but rather by the
order of the primes representing them, i.e., 2 is first place,
3 is second place, 5 third, and 7 fourth. Additionally, the
notes "H. C. F" and "L C. M." are to the left of the 96 and 16,
respectively, likely indicating "highest common factor" and
"lowest common multiple" of the factors of the "winning"
numbers.]
_Tendency to classify and diagram_. To classify the data of
experience has always been one of D's chief interests. One such
tabulation was of parts of speech in various stories and poems. [5]
Figure 8 is a sample taken from many pages of reclassification of
birds. The caption, "Proper Scientific Name," represents the
name considered by D to be better than those now recognized by
ornithologists. His classifications of words, numbers, colors,
musical notes, objects, and so forth would fill a large volume.
He often constructs diagrams to clarify or condense meaning.
FIG. 8. A SAMPLE OF D'S CLASSIFICATIONS
[PART 1 OF 2, Columns 1-3].
Classification of birds seen in summer 1918. Classified in Feb.,
1919. "Proper Scientific Name" is the improved name given by D--.
Found Name Genus or, Scientific
Here (Popular) [Species,] etc. N a m e
* Towhee Species Erythopthalmus
X Wh.-eyed towhee Sub-Species E. Alleni
X Green-tailed " Genus Oreospiza
X Blue Grosbeak Species Caerulea
* Indigo Bunting " Cyanea
X Painted " " Ciris
X Lark Bunting " Calamospiza
Melanocorys
* Barn Swallow " Erythrogastra
* Tree " Genus Iridoprocne
* Red-eyed Vireo Species Olivacea
Wood Warblers Family Mniotiltidae
* Black & White
Warbler Species Varia
* Yellow Warbler Species Astiva
* Sh.-Billed
Marsh Wren Genus Cistothorus
* Red-br. Nuthatch Species Canadensis
FIG. 8. A SAMPLE OF D'S CLASSIFICATIONS
[PART 2 OF 2, Columns 1-4 ("Scientific name" repeated)].
Scientific Name Proper Scientific name Equal
Erythopthalmus Pipilo Eryth. **?
E. Alleni P. Leucophtalmus ***
Oreospiza Pipilo **?
Caerulea Cyanea ***
Cyanea Caerulea ***
Ciris Pictus **?
Calamospiza Melanocorys Melanospiza Leucoptera ***
Erythrogastra Leucurus ***
Iridoprocne Hirundo ***
Olivacea Erythropthalmus Yes
Mniotiltidae Dendroicidae **?
Varia Striata **?
Astiva Xantho or Auro Yes
Cistothorus Telmatotytes ?
Canadensis Borealis Yes
[no previous columns] Erythrogastra **?
_Interest in science_. By the age of 10 years D's chief interest
had come to center in science and it continued to center there. His
classifications of moths, birds, and the like and his observations
of their life cycles are "monumental." There are volumes of these
recorded observations as in Figure 9.
FIG 9. ONE OF D'S RECORDS OF OBSERVATIONS. LIFE CYCLES OF BIRDS.
[Here, the species of birds are listed in a column, with
months of the year listed and spread out horizontally, with the
first, 15th, and last days of the month underneath each month,
and sometimes the 10th and 20th also. The species include:
Holbcel's Grebe; Horned Grebe; Pied Billed Grebe; Loon; Loon
Black-Thr.; Loon Red-Thr.; Puffin; Black Guillenot; Murre;
Murre Brunnich's; Razor-billed Ank; Dovekie; Skua; Jaeger
Pomarine; Jaeger, Parasitic; Jaeger, Long-tailed; Gull, Ivory;
Gull, Kittawake; Gull, Glaucous; Gull, Iceland; Gull, Kumliens;
Gull, Gr. Bl.-Backed; Gull, Herring; Gull, Ring-Bileed; Gull,
Laughing; Gull, Bonaparte's; Gull, Little-Casual; Gull, Sabine;
Tern, Gull-Billed; Tern, Caspian; Tern, Royal; Tern, Cabot's;
Tern, Trudeau's; Tern, Forster's; Tern, Common; Tern, Arctic;
Tern, Roseate; Tern, Least; Tern, Sooty; Tern, Black. Each bird
has a line or lines to the right of its name, corresponding to
the times of year.]
Figures 10 and 11 illustrate his interest in physical science.
They have been taken from his notebooks and state problems which
occurred spontaneously to him and for which he tried experimentally
to find solutions. During a series of experiments "to determine the
path of a tack," it is reported that "the house was full of tacks"
which had been used in attempting solutions.
FIG. 10. COPY OF WORK DONE BY D "FOR FUN," MARCH 28, 1921,
AGED 11 YEARS 1 MONTH.
of the problem: "Determine the appearance of a finger, F, to two
eyes, E#R# and E#L#, focussed on a pole R at point P#S# along
lines E#R#R and E#L#R."
[Diagram of solution.]
Thru [sic] R pass plane PL // to the plane of the eyes. Draw a
line from E#L# (which is nearer to F than E#R#) to F, cutting
PL in O. Draw E#R#O; thru F pass a plane // to PL and crossing
E#R#O in A. Thru A pass F' // F.
F' and F are the positions of F to E#R# and E#L#.
D.
So it can be shown that 2 other eyes would see F in positions F
and F''.
.'. 4 eyes focused on R see F as F, F, F' and F''.
D.
FIG. 11. THE PATH OF A TACK. WORK DONE BY D AT AGE 11 YEARS.
Discussion
of the determination of the course of a freed tack, T, connected
with other tacks by rubber bands.
A. Fig. 1.
[Diagram including points T, T'; band B; and ray L.]
When connected to a tack T' by band B.
Draw T[,] T'[,] or L.
T freed will travel along L, answer.
B. Fig. 2.
[Diagram including points T, T', T''; bands B, B'; and ray L.]
When connected to 2 tacks T' and T'' by 2 bands B and B'.
Answer: Along L, the bisector of T' and TTT''.
C. Fig. 3.
[Diagram including points T, T', T''; band B; and ray L.]
The same as B, but only 1 band B.
Answer same as to B.
D. Fig. 4.
[Diagram including points T, T#1#, T', T''; and ray L.]
When connected to 3 tacks by any number of bands.
Draw T'T#1#, and treat as in B and C.
D.
SCHOOL HISTORY
In the September following his ninth birthday D entered upon
formal instruction in the junior high school. In the autumn
following his tenth birthday he entered senior high school, from
which he was graduated at the age of 12 years, with a scholastic
record which won for him two scholarships.
He was admitted to a large Eastern college at the age of 12 years
6 months (1922-1923), and made a superior record throughout
the course. It was very interesting to see that D continued
to discover means of obtaining social contacts in spite of the
great difficulties due to his extreme youth and his intellectual
deviation. Thus it is not easy to plan how a 12-year-old boy might
successfully participate in college athletics when the median age
of college freshmen is over 18 years, but this problem was not
too difficult for D. He presented himself to compete for the post
of coxswain on the freshmen crew where, other things, being equal,
light weight is an advantage.
He was graduated from college, with Phi Beta Kappa honors, in 1926,
at the age of 16 years 2 months. At that time he was ambitious for
a career in science.
EDITOR'S SUPPLEMENT
D undertook graduate work, with distinction, in the field of
chemistry. He became an industrial chemist with an important
position in the research phases of the motion-picture industry.
Word has been received of his death in September, 1938.
[1] This child was described in some detail in Chapter IX of
_Gifted Children_, 1926, and the earlier part of the present
account is taken from that chapter. In the later part additional
items are given, taken from the author's 1924 manuscript, and there
are a few editorial additions.
[2] A facsimile of a page from this paper is reproduced on page
244 of the author's book, _Gifted Children_ (The Macmillan Company,
New York; 1926).
[3] A note shows that on March 16, 1926, at just 16 years of age, D's
height was 71.5 inches and his weight 115 pounds, stripped. EDITOR
[4] See _Gifted Children_, pages 246-247.
[5] _Ibid._, page 245.
CHAPTER EIGHT
CHILD E
Child E when first seen was a boy 8 years 4 months of age. He was
born June 17, 1908, and the first psychological measurements were
made November 4, 1916. The circumstances that led to acquaintance
with him were as follows:
A child of exceptional intelligence was desired for demonstration
before a class at Teachers College, Columbia University, engaged in
the study of the psychology and treatment of exceptional children.
[1] E was suggested because of his remarkable school record.
The consent of the parents was secured and the psychological
examination was made before a class of about thirty students.
This was not, of course, the ideal circumstance under which to
perform a mental test for scientific record. The presumption would
be that the audience would tend to reduce the child's performance,
so that whatever error there might be from this source would be in
the direction of making the child appear less exceptional than he
really was. Of course no one knew beforehand that such a phenomenal
record was about to be made; for had such an unusual result been
expected this child would have been kept for examination under more
favorable laboratory conditions. [2] For an account of this
testing, see under "Mental measurements," [this chapter.]
FAMILY BACKGROUND
Little or nothing is known of E's paternal relatives. His father
was separated from them before age of recollection.
Of E's maternal ancestry fairly complete genealogical records
are available. [3] Five persons bearing the surname of the mother
settled in New England before 1650. These were probably all
related to each other. The individual who was E's direct ancestor
first appeared in New England in 1639 and settled at Cambridge,
Massachusetts. This family attained great distinction in the six
generations recorded in the New England genealogy. A son of the
first ancestor in America was a royal councilor and the greatest
merchant of his day in New England. A grandson was royal governor
of Massachusetts, and later of New Jersey; he was also a patron
of learning. A great-grandson was chief justice and lieutenant
governor of Nova Scotia. A great-great-grandson was a royal
councilor of Nova Scotia; some of his children settled again
in England, of whom a son was a distinguished naval officer,
attaining the rank of rear admiral in the British navy. These
genealogical records, and other records of New England families
which intermarried with this family, have not been brought up
to date.
The maternal surname appears first about 1176 in the records of
England, and was apparently Norman-French in origin. The remote
male ancestor [4] from whom the mother of E derives the middle
part of her maiden name was born in Providence, Rhode Island,
March 11, 1753, a descendant of early colonial settlers in America.
He was graduated from Rhode Island College (now Brown University)
in 1773 and later took a medical degree at the University of
Pennsylvania. In 1783 he was appointed Professor of Materia
Medica and Botany at Brown. In 1819 he was elected a delegate
from the Rhode Island Medical Society, of which he was vice
president, to the convention which formulated the National
Pharmacopoeia. He took an active part in the organization and
proceedings of the Rhode Island Society for the Encouragement of
Domestic Industry. In 1824, with his son, William, he published
_The Farmer's Guide_, "a comprehensive work on husbandry and
gardening." He participated in the Proceedings of the American
Academy of Arts and Sciences, and delivered many lectures on
botany. He died at the age of 81 years, leaving among descendants
a large proportion of persons in the learned professions.
_Father_. E's father, while still a college undergraduate, produced
a Latin play which was performed in a Boston theater. Since
graduation from college he has maintained a keen interest in
educational matters. He organized a special library of insurance
in Boston which is now used as a reference library all over the
world. He is at present [[1939]] engaged in business; has written
several books; is a university lecturer on insurance; has served
on many important city commissions. Unusual mental endowment is
clearly indicated by the fact that he rose entirely by his own
direction and effort to a post of honor in an intricate field
of knowledge. He was 45 years old when E was born.
_Mother_. E's mother was a qualified physician and a specialist in
bacteriology. For some years she held a position as bacteriologist
in one of the municipal departments of New York City. After
the birth of her son she devoted a great deal of attention to
his education and welfare, keeping records of his development,
supervising his health, and acting as his teacher. She often
accompanied him to school, sometimes registered for courses
along with him, or herself took courses calculated to make her
more useful in his training. She gave an exceptional amount of
attention to his formal educational program and cultivated with
him numerous extracurricular intellectual activities. During E's
college career the two were often seen together on the campus.
EARLY HISTORY [5]
E was his parents' fourth child, three girls having been born
before him, all having died. Birth was difficult. He was bottle
fed. His parents were both in middle life at the time of his
birth. He cut his first tooth at 8 months--a lateral incisor.
He walked at thirteen months.
Up to the age of 2 years E did not say a word. He then began to
talk, and before he was 3 years old was able to read such books as
_Peter Rabbit_. Conversation with him was carried on in German,
French, Italian, and English equally. When he did begin to talk he
could say in these four languages all the words he knew.
_Health_. E's health has been exceptionally good from infancy. He
has had no disorders or diseases except measles, and an occasional
attack of indigestion. He is exceptionally free from colds.
_Physical measurements_. The figures given below as _averages_
are for a boy of 8 years 4 months who is the same height as E.
The average height for a boy of this age is 49.7 inches. The
measurements here given for E were transcribed from the gymnasium
records of the school he was then attending.
CHILD E AVERAGE FOR
MEASUREMENTS OCTOBER AGE 8 YEARS 4 MONTHS
30, 1916 AT HEIGHT 54.3 INCHES
Weight 89.3 pounds 70.5 pounds
Height 54.3 inches 54.3 pounds
Girth of chest 31.8 inches 25.6 inches
Girth of chest,
expanded 32.4 inches 26.8 inches
Lung capacity 100 cubic inches 112.0 cubic inches
Strength, right
forearm 30.9 pounds 39.7 pounds
Strength, left
forearm 22.0 pounds 37.5 pounds
It will thus be seen that E is considerably larger than the average
boy of his age, though of less lung capacity and forearm strength.
_Other characteristics_. E has clear, well-molded features. He
does not like physical exercise of any kind but has had special
attention along this line, such as lessons in swimming, dancing,
and horseback riding. He sleeps eleven hours and goes to sleep
immediately upon going to bed.
SCHOOL ACHIEVEMENT
E went to kindergarten from the age of 3 years to the age of 5
years. From 5 to 6 he was out of school on account of school
organization (he could not be accepted in the first grade). From
6 to 7 years he attended an open-air, ungraded school and did the
work of the second to the fourth grades. From 7 to 8 years he was
in the fourth grade in regular school classes, and at the time of
first observation by the writer, when he was 8 years old, he was
in the sixth grade.
He was thus three full years accelerated in school grading,
according to age-grade norms, but was still three years retarded
in school according to his Mental Age. (Terman makes special note
of the fact that superior children are almost invariably retarded
in school grading according to Mental Age.) His mother stated that
under private tutors E had at this time covered the work of
the seventh and nearly all the work of the eighth grade. His
school standing, on his last report preceding this initial account,
was as follows (the highest attainable rating is 1, the lowest, 4):
Courtesy 1 Composition 2 Penmanship 3
Promptness 1 Grammar or Industrial Arts 1 [7]
System 1 Language 2 Fine Arts 4 [8]
Spelling 2 Mathematics 3 [6] Music 2
Reading or Geography 1 Physical Educa-
Literature 1 History 1 tion 4
Science 1
In addition to his regular school work E, by the time he was
8 years old, had covered the following special work in language
and mathematics, either with a tutor or with his mother:
Mathematics: Algebra as far as equations; geometry.
Latin: Partial knowledge of the four declensions (he has been
taught by the direct, informal method, and reads easy Latin).
Greek: Worked out the alphabet for himself from an astronomical
chart, between the ages of 5 and 6 years.
French: Equal to about two years in the ordinary school.
German: Ordinary conversation.
Spanish: Attended class with his mother--reads and understands.
Italian: Reading knowledge and simple conversation.
Portugese: Asked his mother to take this course at the Columbia
Summer School because he could not be registered himself.
Hebrew: A beginning.
Anglo-Saxon: A beginning.
Astronomy: He has worked out all the constellations from
MacCready, and displays a very great interest in this subject.
One evening this winter he noticed a new planet near the
Twins. He said it was Saturn but his mother thought it was
Mars. E went home, worked the position out from the chart
and found it to be Saturn.
Miscellaneous: He has a great interest in nature, wherever found,
and is already able to use Apgar intelligently.
His writing is not equal to his other accomplishments. He is
very slow at it and for this reason dictates most of his "home
work" to a stenographer.
History is his chief and absorbing interest among school subjects.
MENTAL MEASUREMENTS
At the time E was first tested, at Teachers College, Columbia
University, in November, 1916, the Stanford revision of the
Binet-Simon measuring scale was used for the determination of
the child's mental level.
_General intelligence_. The examiner [[L. S. H.]] began with the
"ball-in-the-field" test. E responded at once with the superior
solution, thus giving a preliminary cue to the quality of his mind,
and the examiner proceeded immediately with the other tests at
the 12-year level of intellect. E passed all the 12-year tests
with facility and ease, giving responses of excellent quality.
From the 12-year level the examiner then worked forward in all
the higher levels through Superior Adult. This is, of course,
a long examination, and in view of the actual age of the child
it was deemed best to give the tests at two separate sittings,
when it was seen that he would cover the whole upper range of
the scale. The examination was therefore accomplished in two
sittings of about fifty minutes each. The final record of E
shows that he measures on the scale as follows:
Levels 1 year
to 7 years YEARS MONTHS
8
9
10
12 12
14 16
Adult 15
Superior Adult 12
--- ----
Total 15 7
Since his actual age is 8 years 4 months and his Mental Age is
15 years 7 months, his IQ is 187. On the curve of the distribution
of intellect he stands eleven times the probable error (11 PE)
removed from the norm, a position occupied by but one child in
more than a million. He stands as far removed from the average
in the direction of superiority as an idiot stands removed from
the average in the direction of inferiority.
An analysis of his performance shows that E had extraordinary
appreciation of the exact use of words and of the shades of
difference between words. He gave correct meanings for 64 words
out of the 100 in the vocabulary test. His vocabulary thus includes
11,520 words. The score of the Average Adult is 65 words. Thus he
just missed scoring on this Average Adult test. Samples of his
definitions are as follows:
scorch--is what happens to a thing when exposed to great heat.
quake--is a kind of movement, unintended.
ramble--is a walk taken for pleasure.
nerve--is a thing you feel by--for instance, cold.
majesty--is a word used to address a king--your majesty.
Mars--is a planet.
peculiarity--is something you do that nobody else does.
mosaic--is a picture made by many small pieces of marble.
bewail--is to be extremely sorrowful.
tolerate--is to allow others to do what you don't like yourself.
lotus--is a kind of flower.
harpy--is a kind of half-bird, half-woman, referred to in Virgil.
fen--is a kind of marsh.
laity--is _not_ clergy.
ambergris--it comes from a whale.
straw--the stalk of a cereal plant.
lecture--someone giving a very long talk about something to an
audience.
E also has a prodigious ability for comprehending and formulating
abstract ideas, and for working with symbols. He gave the
differences between the abstract concepts under Average Adult
as follows:
_a_--laziness and idleness. Laziness is that you don't _want_ to
work; idleness is that you _can't_, for a while.
_b_--evolution and revolution. Evolution is making things from
the beginning; revolution is changing them.
_c_--poverty and misery. Poverty is when you don't have anything;
misery is how you feel when someone insults you.
_d_--character and reputation. Character is what he _really_ is;
reputation is what they _think_ he is.
E succeeded in reversing the clock hands three times without
any error in less than a minute for each trial. He was able to
reproduce the thought from the selection beginning "Many opinions
have been given about the value of life" as well as a Superior
Adult. He solved the three mental arithmetic problems under XIV, 5,
in less than a minute each, absolutely without error. These
performances serve to illustrate his precocious power over symbols
and over abstractions.
His attention, concentration, and capacity for sustained effort
are illustrated by the fact that he was able to repeat five digits
backwards twice out of three trials absolutely without error,
before a class of thirty adults. His memory span for digits
repeated forward is at least 8. (He was not tried with more than
8 digits.)
During the examination he showed neither embarrassment nor any
tendency to "show off." He was alert, interested, and gave his
attention strictly to the business in hand. He always knew when
he had failed on a test, and gave up with great reluctance.
For example, he was unable to solve the problems under XVIII, 6,
in the time allotted; but he carried these data away in his head,
and held to them tenaciously till he had solved the problems.
In several instances after he had given his reply he recast
it in better form. In short, he exemplified in remarkable degree
all the characteristics which Binet finally chose as symptomatic
of intellectual power; i.e., (1) the ability to make and maintain
a given direction; (2) the capacity to make adaptations for
the purpose of obtaining a desired end; and (3) the power of
auto-criticism.
_Special tests_. Following the procedure described by Seashore,
and using the set of forks recommended by him, E was tested for
pitch discrimination, being given seven trials with the whole
series of forks. His record was as follows, ## meaning a correct
answer and -- meaning a false one.
VIBRATION DIFFERENCES
30 23 17 12 8 5 3 2 1 .5
Series
1 ## ## ## ## ## ## ## ## ## ##
2 ## ## -- ## ## ## ## ## -- --
3 ## ## ## ## ## -- ## -- -- ##
4 ## ## ## ## ## -- ## -- ## --
5 ## ## ## ## ## ## ## ## -- --
6 ## ## ## ## ## -- ## ## ## --
7 ## ## ## ## ## -- ## -- ## ##
His threshold for pitch discrimination would thus seem to be not
greater than five vibrations, and would probably be found to be
as low as three if a more complete test were possible. This is
a very good record, according to Seashore's standards.
E gave free associations to the first 50 words of the Kent-Rosanoff
list of words, both stimulus and response words being oral. The
stimulus words and responses follow:
STIMULUS RESPONSE STIMULUS RESPONSE STIMULUS RESPONSE
table dinner smooth surface needle slim
dark night command army red color
music soft chair cushion sleep fast
sickness fatal sweet sugar anger sick
man tall whistle blew carpet bagger
deep ocean woman lady girl pretty
soft couch cold coal high mountain
eating dinner slow train working people
mountain snowcapped wish I sour lemon
house brick river Hudson earth big
black dog white color trouble great
mutton beef beautiful dress soldier brave
comfort your window glass cabbage green
hand dirty rough surface hard surface
short man citizen U. S. eagle swift
fruit orange foot bare stomach ache
butterfly moth spider black
At once after giving some of these responses E explained why he
had given them. Thus he explained that "carpet bagger" had to do
"with Civil War history." After giving "beef" in response to
"mutton" he smiled and said, "That's a joke, isn't it?" When asked
why he thought it a joke he replied that he thought very few people
would give that answer. After the test he was told that 97 people
in a thousand gave "beef" in response to "mutton," and he at
once said, "Ten per cent, that's not so very many."
It was impossible, for lack of time, to give E the complete
list of 100 words usually given in this test. Using the 50
as a basis for calculation, 78 per cent of the responses are
"common responses" in the Kent-Rosanoff sense of the word,
a number of common responses which children do not usually
show until after the age of 10 years. His "median of community"
(a measure not yet standardized for age levels) is 1.4 per cent.
E was given the Pintner form of the Knox Cube Test, and achieved
11 of the 12 lines arranged by Pintner. The average record for
the 16-year-old is only 8 lines, and this is the highest level
for which this test is yet standardized.
The usual "tapping" test was given, tapping continuously with
the right hand, with the stylus, for one minute. The record was
239 taps only, which is lower than the average 8-year-old record.
Given three minutes in which to make up words out of the letters
A-E-I-R-L-P, E made the following: a, rip, pie, lie, ale.
He was given thirty minutes in which to put together the pieces
in the Stenquist Construction Box II, and was not able to put any
of the pieces together. He began at one end of the box, examined
each set of materials in turn, tried to put them together in an
indiscriminate way, put them back, and went on to the next set
of materials. He remarked, "I don't seem to be able to put any
of them together. It seems that all I can do is found out what
each of the things is for." He recognized that various sets of
pieces were "a mousetrap," "a lock," "a bell," etc., but made a
zero score from the point of view of construction. At the end of
twenty minutes he gave up and turned away from the materials.
It is interesting to compare the child's record in construction
tests and his comments regarding these tests, with his school
record in industrial arts and fine arts. E receives the best
possible rating in industrial arts because he has keen insight
into processes and can explain how to construct a mechanism or
perform an operation clearly and minutely, though he is unable
to carry out his own instructions. For instance, he can tell
exactly how to make a boat, but he cannot make the boat himself.
There is thus an interesting distinction here between "constructive
ability" and "manual dexterity." Similarly, in fine arts E has many
ideas for decorative schemes, but he is unable to execute these
ideas with his hands.
SOCIAL HABITS, TASTES, ETC.
E does not care to play, and would never do so unless forced.
He is very impersonal and agreeable in his attitude toward other
children. His chief diversion is reading and his favorite book
at the age of 8 is _Ivanhoe_. He has no hobbies at this age. In
the spring of 1916, after careful and thoughtful preparation, he
was confirmed in the Episcopal church. His desire is to be a
clergyman and to become a missionary. When asked what he would
consider the most fun in life, he replied "To have statistics
of my imaginary country." This country is on Venus. It is inhabited
by people and has a navy like ours. E does not volunteer much
information about his interests. All these items had to be elicited
by questioning.
LATER MENTAL MEASUREMENTS
In the spring of 1920 E took the Thorndike Mental Tests for
Freshmen, for entrance to Columbia College. An official letter
from the Director of Admissions at Columbia College states that,
"In the Freshmen Tests he was number two, out of 483 entering
Columbia College." He was at this time 12 years 0 months old;
the median age of his competitors was about 18 years.
ON September 29, 1921, E was examined by means of the Army Alpha
(Forms 5 and 6, Examiner L. S. H.) for the purpose of recording
his mental development. On Alpha, Form 5, he made a score of
194 points, finishing several of the tests, without error, before
the time limit. On Form 6, which was taken subsequently, on
the same afternoon, his score was 201 points; and with these,
too, some of the tests were finished in about two thirds of
the time allowed, without error. As the method of scoring Alpha
does not provide for a time bonus, this cannot be taken into
account in the formal score.
In April, 1927, at the request of the writer [[L. S. H.]] E took
the tests of the IER Intelligence Scale CAVD, Levels M-Q. This
series of tests is described in a recent publication. [9] Briefly
it may be said here that this instrument was chosen for the purpose
in hand because it is the most thorough method available for
approximating in quantitative terms the intelligence of the best
among college graduates.
E's score on this test, at Levels M-Q, was 441 points. The score
of the average adult is not yet known, but the median score of
college graduates in professional schools of first-rate standards
is 415 points, with an upper quartile at 421 points. The best
scores yet made by college graduates hover about 440 points. [10]
Thus E rates plus 4 PE in relation to college graduates in
first-rate professional schools, ranking with the best minds
revealed in any group so far tested. These groups may each be
expected to include some of the best intellects existing. The
comparative groups are, of course, older than E. Some of them
are composed of persons over 30 years of age on the average,
while all are past 20 years. E was 18 years 9 months of age
on the date when he took the test, in comparison with these
groups. The number of years lived in an intellectual environment,
other things being equal, probably affects results to some extent
in favor of those who have lived longer.
A score of 441 points on the IER Scale corresponds to a score
of about 116 points on the more widely known Thorndike Tests
for College Freshmen. The top one per cent of college graduates
make a score of 108 or better on the latter test. E, therefore,
surely rates at least in the top one quarter of one per cent
of college graduates. [[E, it will be noted, was at this time
at the average age of college freshmen.]]
At the age of 8 years E rated plus 11 PE in general intelligence
(by Stanford-Binet) as compared with the generality of 8-year-olds.
It seems likely that in these later measurements he rated at about
the same status, in relation to the generality of 18-year-olds,
since his status is plus 4.3 PE in relation to highly selected
groups of college graduates.
E, at the age of 18, was probably mature--or nearly mature--
intellectually. However, in view of recent findings in regard
to the growth of intelligence among pupils in high schools, we
cannot be sure that at this age he has quite reached the maximum
of possible accretions of power from inner growth. [11]
LATER PHYSICAL MEASUREMENTS
On September 29, 1921, E's physical measurements were as follows:
Standing height 64.2 inches
Sitting height 31.7 inches
Weight (summer clothing) 166 pounds
At this time his health continued to be excellent; in fact, he
has never had a serious illness of any kind.
E was measured again in October, 1926. By this time he had probably
achieved his maximum stature. His age was then 18 years 4 months. He
was still in excellent health, the only illness in the intervening
five years being a "light case" of scarlet fever. At this time the
measurements were:
Standing height 6 feet 1 inch
Weight (stripped) 194.75 pounds
LATER SCHOLASTIC RECORDS
In the spring of 1917 E finished the sixth, seventh, eighth, and
ninth grade work at the Horace Mann School, New York City. He was
then just 9 years old. Thereafter he attended the Friends Seminary,
New York City, and was graduated from the high school there in the
spring of 1920, with an excellent record and excess credits, at
the age of 11 years 10 months.
By this time E had also passed the comprehensive examinations of
the College Entrance Board for Harvard College. The official
communication from Harvard authorities, making statement to this
effect, has been seen by the writer. E's maternal ancestors had
attended Harvard (one of them having graduated from there at the
age of 18 years, according to records), but E expressed a desire to
attend Columbia and received permission to take the mental tests
with the applicants of 1920. He was admitted to Columbia College
with the freshmen of 1920, with 14 points of advance credit toward
a B.A. degree.
There is at hand an official statement of E's academic status
on June 1, 1921, at the age of not quite 13 years. He had then
46 points of academic credit toward a B.A. degree in Columbia
College. During his freshman year he made 32 points, maintaining
consistently a grade of B, except in two subjects. In physical
education his rating was C, and in contemporary civilization
he made A the first semester. [12]
E attended the summer session of 1921 at Columbia, making five
credit points, all A grade, and in September, 1921, was a sophomore
with many points of credit in advance of minimum sophomore status.
In addition to having passed the comprehensive examinations for
college entrance, he had passed the examinations in trigonometry,
solid geometry, chemistry, and physics, and was at this time 13
years 3 months of age.
EXTRACURRICULAR ACTIVITES
E was of course a conspicuous freshman because of his extreme
youth, and he was hazed by the sophomores for refusing to wear a
prescribed necktie. One of the New York newspapers commented on
his conduct under hazing as follows:
He has demonstrated that he is nevertheless a regular fellow.
He did it first by bringing about a conflict in which he himself
was the much buffeted prize of battle, and then by glorying in
his bruises instead of making them the basis of a grievance.
He is a good sport as well as a good scholar, and being both he
ought to go far.
E also participated in the class play, given in 1921, humorously
consenting to impersonate himself.
Manual work had no more charm for him at this date than it had
when he was 8 years old. That he _can_ work with his hands and
with materials when motivated is suggested by an incident connected
with the Liberty Bond drive. His teacher relates that E wanted
to pay for his own bond; so he made jelly, working at it until
very good jelly was made, and sold it for the purpose specified.
In recent years E has developed a keen interest in detective
stories.
TEACHERS' COMMENTS
Comments from E's teachers during the last five years up to this
date [[1921]] are indicative of their estimates:
The regular course of study has been so easy that he has, in
several subjects, notably English and history, accomplished a
great amount of voluntary work outside the course.
An excellent mixer with other students.
His weekly visits have been a pleasure and anticipation, and his
ability to understand without English the spoken Latin and the
authors as I have read them aloud to him has been extraordinary.
Has done very remarkable work in science, particularly in theory.
I predict for him a great scholastic record in college.
I consider it a privilege to have had something to do with
teaching him.
Possesses a _power_ in Latin that few persons ten years his
senior can boast.
Has shown devotion to the best interests of the school.
SUMMARY UP TO 1921
In the five years which have elapsed since E was first tested
mentally he has shown no tendency to become mediocre. His gifts
have not grown less; he maintains his superior status in mental
tests. As for achievement, he has passed during this interval
from the sixth grade of the elementary school, half through
the second year of college. Average children, the country over,
born when this child was born, and measuring 100 IQ when he
measured 187 IQ, are now in the seventh grade of the elementary
schools.
E still wishes to be a clergyman and to go abroad as a missionary.
To this end he interests himself especially in history, the
languages, and anthropology.
It is an interesting theoretical question as to how far human
intelligence may vary from the norm in the direction of superiority.
The case of this child has been placed on record largely because
it seems probable that such cases represent very nearly the extreme
possible limit of variation in the human species as it now exists.
At 8 years of age his IQ stood at plus 11 PE (1 PE being, according
to Terman, equal to 8 IQ [13] ). The probabilities are usually
regarded as slight that cases beyond 5 PE will occur. Perhaps the
range in human intellect is much greater than probabilities would
lead us to guess.
Since the initial report of this child's qualities, readers have
occasionally asked with what meaning the word "prodigious" was
used in reference to him. It was used in the dictionary sense of
"wonderful," "extraordinary."
In these reports there is no intention to approve or to disapprove
the educational regimen pursued. Who knows what should be the
educational treatment of a child standing at 11 PE in intellect?
The sole intention is to record the identification and development
of a deviation so extreme that the chances are theoretically almost
nil that it would occur at all.
EVENTUAL SCHOLASTIC RECORDS
In June, 1923, E was graduated from Columbia College, with the
degree of B.A. He took general honors, Phi Beta Kappa honors, and
the English Seminary Prize, awarded by the Society for Promoting
Religion and Learning "for the best essay in sermon form on an
assigned topic." He was within eleven days of his fifteenth
birthday when he was graduated. He was elected to Phi Beta Kappa
at the age of 14 years, probably the youngest person ever elected
to that organization.
E was graduated with excess credit (8 points) toward the M.A.
degree. This degree was awarded him in June, 1924, when he was
not quite 16 years of age, more than enough work for it having
been accomplished. He was matriculated for the Ph.D. degree
before he was 16 years old, and by the age of 18 years 9 months
had practically finished all the requirements for that degree
except completing the dissertation. The dissertation topic had
been then approved, in the field of history, and E was at work
on the material.
In October, 1926 (aged 18 years 4 months), E entered upon his
professional studies for the ministry in the theological seminary
of his choice. Since the age of 15 he had done special work at the
seminary. He had read prayers in one of the city churches as a lay
reader since the age of 16 and was at this time a candidate for
ordination as deacon, but this ordination could not take place
before the twenty-first birthday.
In the initial report of E it will be found that he had decided
before he was 5 years old to be clergyman. It now appeared that
his professional course toward that end would be completed in 1929.
FIG. 12. A MEMORANDUM FROM E.
Professional course will be finished in 1929.
The subject of the thesis on which I am now working, is
definitely approved and published (decided June, 1925); the
other requirements are practically finished.
__Apollonius, [Diocetes?] of Egypt__ (3rd century B.C. Egyptian
history, 1923)
Worked on order of Pliny's letters (1924-25)
At present reading Greek papyri.
Making my [illegible] in Modern European History, worked
on Irish constitutional history (1924-1925)
RESEARCHES OF E
When E was 10 years old he made an original contribution in
connection with the Pentateuch, and was made a member of The
Oriental Society of Research in Jerusalem.
At 13 years of age E was first admitted to the Bodleian Library,
at Oxford, for purposes of research.
In 1923 E presented his M.A. essay--"Appolonius, Diocetes of
Egypt"--which pertains to Egyptian history of the third century
B.C. and is on file in the Library of Columbia University.
E has also done research (1924-1925) on the order of Pliny's
letters; on Irish constitutional history (1924-1925); and was
in 1926 and 1927 reading Greek papyri.
The subject of his dissertation to be submitted in partial
fulfillment of the requirements of the Ph.D. was reported as
"Feudal Estates in Byzantine Egypt." [14]
SUMMARY OF DEVELOPMENT
A summary of E's development over the period from 1916 to 1927,
given in the table [below], shows clearly that the superior
magnitudes, both of mental caliber and of physical size, so
markedly present at the age of 8 years, are maintained as growth
terminates.
CHILD E NORMS FOR PRIVATE
SCHOOLS [15]
Born June 17, 1908, as
shown by birth certificate
and hospital records.
November 4, 1916
Height 54.3 inches 49.5 inches
Weight 89.3 pounds 54.2 pounds
Intellect IQ 187 (S-B) IQ 100 (S-B)
Scholastic status 6th grade, 3d grade,
elementary elementary
September 29, 1921
Height 64.2 inches 58.2 inches
Weight 166.0 pounds 89.5 pounds
Intellect 194 points, Army 47 points,
Alpha, Form 5 Alpha Army
Scholastic 4th semester, 8th grade,
status college elementary
school
October 26, 1926
Height 73 inches 67 inches
Weight 194.7 pounds 150 pounds
April 1, 1927
Intellect 441 points, IER Not yet known
Tests
Scholastic status B.A. 1923 Has left
M.A. 1924 school to
Ph.D. candidate go to work
Also finishing
first year in
Theological
Seminary
EDITOR'S SUPPLEMENT
Although no follow-up inquiry has been made since the year 1927,
a few items gleaned from clippings found in the author's files
are relevant. These are newspaper accounts, chiefly in connection
with E's being ordained as deacon, and later elevated to the
Protestant Episcopal priesthood. These articles recite that E--
Received his B.A. at the age of 15 years.
Received his M.A. degree the following year.
Was ordained deacon on December 21, 1929, at the age of 21.
Received his Ph.D. the following year at the age of 22.
Also received the degree Bachelor of Sacred Theology, in June, 1929.
Was elevated to the priesthood in the Protestant Episcopal Church
at the age of 24 (June 19, 1932) at a special ordination service
at the Cathedral of St. John the Divine, New York City.
As a graduate student too young for the priesthood, he had held a
fellowship in the General Theological Seminary, teaching Greek
and history.
There is also an announcement of his marriage in September, 1939.
See also Editor's Note on publications, foot[note 14].
[1] See Preface, [paragraphs 2-5.]
[2] EDITOR'S NOTE. This child was observed by Leta S. Hollingworth
over a period of nearly a quarter century. She published three
accounts of his development, and the present chapter is in the main
a composite of these three reports, to which are added such
supplementary items as are available. The articles referred to
are as follows:
Garrison, Burke, and Hollingworth. "The Psychology of a Prodigious
Child." _Journal of Applied Psychology_ (June, 1917).
Hollingworth, Garrison, and Burke. "Subsequent History of E------
Five Years after the Initial Report." _Journal of Applied
Psychology_ (June, 1922).
Hollingworth, Leta S. "Subsequent History of E------ Ten Years
after the Initial Report." _Journal of Applied Psychology_
(October, 1927).
[3] Bartlett, J. G. "The Belcher Families in New England." _New
England History and General Register_, Vol. 60, pages 125-136,
243-256, 358-364.
Belcher, Jonathan. "The Belcher Papers." _Collection of the
Massachusetts Historical Society_, Vols. 6 and 7.
Appleton's _Cyclopedia of American Biography_, Vol. 1 (1887).
(Jonathan Belcher.)
[4] Drowne, Henry R. "Family Record of Solomon Drowne." _New York
Genealogical and Biographical Record_, Vol. 5, No. 35, pages
171-172. New York; 1904.
Drowne, Henry T. _Genealogy of the Family of Solomon Drowne,
M. D., of Providence, Rhode Island, with Notice of His Ancestors;
1646-1879_. Providence Press Company, Providence, Rhode Island;
1879.
[5] Developmental history and history of personal health were
elicited from the mother, who, being a physician, is especially
competent to speak on these points. The family history and the
facts concerning his extra-school linguistic achievements were
also given by the mother.
[6] Private tutors grade E as 1 in mathematics.
[7] In industrial arts credit is given for _knowing_ industrial
processes, as well as for ability to carry out the processes.
[8] In fine arts credit is given for manual dexterity only.
[9] Thorndike, E. L. _The Measurement of Intelligence_. Bureau of
Publications, Teachers College, Columbia University, New York; 1927.
[10] I am indebted to Dr. Ella Woodyard and to Professor Ralph
B. Spence of Teachers College, Columbia University, for this
information.
[11] Thorndike, E. L. "On the Improvement of Intelligence Scores
from Fourteen to Eighteen." _Journal of Educational Psychology_
(1923).
[12] It is worth saying that in contemporary civilization the final
examination had been objectively standardized by Dr. B. D. Wood,
expert in educational measurement, and did not depend on the
estimate of instructors. "E's score on the objective examinations
of both terms was in the highest tenth of the highest percentile"
(B. D. W.). The instructor's estimate, as well as the result of the
objective examination, enters into the term grade and, indicated
above, in this course; so that the final grade in the second
semester is but B.
[13] See note [1, preface].
[14] EDITOR'S NOTE. This dissertation was published in 1931
by the Columbia University Press under the title _Large Estates
of Byzantine Egypt_.
Among later publications, of which there is record in the files,
are:
"National Elements in the Career of St. Athanasius," _Church
History_, pages 3-11 (December, 1933).
"Dura--An Ancient City of the East," _Natural History_ (The
Journal of the American Museum of Natural History), Vol. XXXIV,
No. 8, pages 685-701 (December, 1934).
_Militant in Earth_. Pages 255. Oxford University Press, New
York; 1940. A book which "shows how Christianity has presented a
spiritual and social front against opposing phases of civilization,
whatever they may have been during 2000 years."
[15] Norms for height, weight, and scholastic status are taken
from B. T. Baldwin, as established at Horace Mann School, Francis
Parker School, and the elementary and high schools of the
University of Chicago.
CHAPTER NINE
CHILD F
Child F was a boy whose ability was identified as the result of
a mental survey made with group tests in P.S. 14, Manhattan. [1]
His score in these tests was unbelievable, and he was summoned
for testing with the idea that he must have been coached. An
individual Stanford-Binet test, however, showed a phenomenal
record similar to all other tests given him, including an Army
Alpha. He was referred to a Special Opportunity Class at that
time being organized in P.S. 165, Manhattan.
FAMILY BACKGROUND
Although detailed study of F's ancestry is available, a brief
summary of the facts appears to be all that is here needed, for
the ancestry throws little light on the boy's extraordinary
mental ability.
F's paternal grandfather was of Scottish parentage, born in Canada.
He was a reasonably successful worker in the printing trade,
appears to have been well balanced and socially adjusted, and
showed no exceptional traits. He had little education and no
special interests. He died of apoplexy at 51 years of age.
F's paternal grandmother, born in Albany, New York, had a public
school education (probably). She is still living [[1924]], clerking
in a store after her husband's death. She appears to have no
special interests outside her home life; is said to be quick and
nervous, easily excited, and prone to worry.
F's maternal grandfather was born in New York State, of German
parentage. He is still alive [[1924]], at the age of 70, and
is very active. His education was limited, but he is an excellent
reader and is well informed. He is fond of music, is an active
churchman and a choir leader. He is said to be quick-tempered,
impulsive, and affectionate. He mixes well with people, and has
some leadership qualities. He has always worked as a paper hanger
and painter, his business being on a small scale.
F's maternal grandmother was born in New York State; the nationality
of her parents is not recorded. She had a public school education.
Her interests are limited to home and Red Cross activities. She is
friendly and sociable, impulsive, affectionate in disposition,
and has a keen sense of humor.
F has several uncles and aunts, none of whom presents any qualities
of striking interest. All appear to be normally effective and
well adjusted, competent on a small-town scale, enjoying their
homes, and taking part in local activities and organizations.
F has one brother, younger than himself, born April 2, 1920. He
was given a Stanford-Binet examination, May 13, 1924, by Leta S.
Hollingworth, being then 4 years 1 month of age. His Mental Age
was 6-0, yielding an IQ of 147. This brother has strong musical
inclinations, was a choir boy, and subsequently took instruction
in singing.
_Father_. The father of Child F was born in Albany, New York. He
had a high school education and business college training. He has
always done clerical and office work, especially bookkeeping. He
is fond of athletics, reads only newspapers and magazines, is
quick, alert, and active, has an even temperament, is seldom
worried. He has no interest in clubs or organized activities.
Seems to take an interest in his children. (In later years the
father lost the balance and evenness of temperament here reported
and became unemployed much of the time. He died in March, 1935,
at the age of 41, "apparently accidentally drowned.")
_Mother_. The mother of F went to high school for two years and
earned a teacher's certificate. She taught two years in rural
schools but disliked this work and had no patience with children.
She liked music, however, and studied piano and voice for a short
time, but now pays little attention to it. She has always regretted
going to high school, believing that if she had devoted that time
to music, she might have had some success in it. Her interests
are limited to home affairs. She says she has few friends and
does not mix well with people. She appears calm and does not
worry, is sensible in her dealings with her children, takes
no part in organized activities, but always sends the children
to Sunday School. She is a very good home manager, and runs
things effectively on small resources.
PRESCHOOL HISTORY
F was born in upper New York State, November 14, 1914. The period
of gestation was of normal length; at birth he weighed according
to the father 9 pounds, according to the mother 11.5 pounds. No
records of early infancy were kept, so that many such details are
given from memory, either by the father or by the mother. The
child was the mother's first-born. She reports that much of
the infant's weight at birth was due to his enormous head, which
necessitated instrument birth. Birth was difficult, the mother
was severely injured, and the child's head "was so distorted
from the instruments that it was weeks before it could be molded
into normal shape."
F was bottle fed from birth to one year. His first teeth appeared
at about 10 months. He talked (short sentences) at about 12 months,
learned to walk alone (several steps) at 14 months, learned to read
at between 4 and 5 years of age. His childhood illnesses were
measles, whooping cough, chicken pox, and scarlet fever, all
between 6 and 8 years of age. Cried little as a baby. His mother
says "he was a lovely baby to take care of." No sensory defects or
signs of physical weakness. Adenoids were present, to be removed
shortly after the initial interview in 1924 (age 10 years). He
sleeps soundly.
EARLY SCHOOL HISTORY
F started school at the age of 5 years 10 months, in a two-room
rural school in upstate New York in the town where he was born.
He could already read well at that time; it was first noticed
that he could read when he was "around 5 years of age." Riding
in streetcars, he would take words apart and put them together
again. He had learned the letters before his third year.
At school he was received in the first grade. It was soon found
that he was memorizing his reader and the teacher gave him a more
advanced book. This school was a practically ungraded one; the
first four grades were together in one room, and grades five to
eight were in the other room. The teacher did not know what to do
with F; so he was allowed to go into the second room and listen,
in an orderly manner, to the fifth to eighth grades.
When he entered New York City schools at the age of 7 years 10
months, the rural teacher gave F a transfer for the fifth grade.
The mother presented the letter of transfer to the Manhattan
principal, who pooh-poohed the idea that the boy could belong in
the fifth grade at that age. He refused to accept the recommendation
from the ungraded school and placed F in the third or fourth grade.
After the first week the boy's teacher reported that he did not
belong in that grade. When the principal insisted that F could not
go into the fifth grade, the boy himself spoke up and said if they
would give him an examination they would see that he could do
it. The principal ordered him to keep still and not to talk so
much. He was, however, eventually placed in the fifth grade in
the year in which his eighth birthday occurred. At the end of that
year he was promoted to Grade 6A, then into 6B, and he was shortly
after received into the Special Opportunity Class at P.S. 165.
He had always been fond of school up to this time, although he
later developed a distaste for it and became a chronic truant.
He spent much of his time helping the teachers, carrying books,
and running errands, in order to keep occupied. When his mother
requested his transfer to the Special Opportunity Class, the
principal of the school he was attending, at first refused, saying
that he liked to have bright pupils in his classes too. After
futilely arguing for half an hour, the mother finally threatened
to move to another part of town, thus forcing a transfer, whereupon
the principal relented and gave the transfer. F said he liked the
new school because he was allowed there to say what he thought.
In his early school years he once won a prize, which was to
be a book. Several books, supposedly of interest to boys, were
offered him from which to choose. He looked them over and then
said if it made no difference to the teacher, he would rather
have a dictionary instead. This volume was given him, and it was
used constantly thereafter.
EARLY TEST SCORES
In March, 1924, at the age of 9 years 4 months, F was given a
mental test, using Army Alpha, by L. M. Potter. He was then in
Grade 6B, P.S. 14, Manhattan. His score was recorded as 124 points.
But there is also a copy of an Army Alpha Test, Form 7, given F in
the fall of 1924 upon his entrance to P.S. 165, on which the
score is 163 points.
On April 14, 1924, at the age of 9 years 5 months, F was given
a Stanford-Binet test by M. V. Cobb, in P.S. 165, Manhattan. His
Mental Age shown at that time was 15-2, and an IQ of 162 was
reported. Strength of grip measures were also recorded as of
May 15, 1924. These were made by Leta S. Hollingworth, three trials
for each hand. The records were (median of three), right, 10.5;
left, 9.
On April 22, 1925, at the age of 10 years 5 months, F was given
a Stanford-Binet examination by Leta S. Hollingworth as a
demonstration before a class of 60 adults. His Mental Age was
19-0, and the IQ is recorded as "over 182, unmeasured by the scale."
On May 8, 1926, at the age of 11 years 6 months, F was again tested
with the Stanford-Binet [[by L. S. H.]]. He passed at this time all
the Superior Adult tests and was thus unmeasured. He was at this
time in his first year of senior high school.
January 7, 1933, at the age of 18-2, while a college freshman,
his score on Army Alpha, Form 8, was 198 points.
_Music tests_. F showed no active musical interests but became very
fond of listening to good music, being particularly fond of string
quartets. As was the case in every field to which his interests
turned, he quickly acquired a fund of information about it which
he took pleasure in exhibiting.
F was given the Seashore Music Tests four times [[by L. S. H.]]
over a period of 11 years. Perhaps the record of these successive
examinations will have some intrinsic interest, and such a
tabulation is here provided.
SEASHORE TESTS OF MUSICAL TALENT SCORE
(Per Cent Correct)
MAY 7, DECEMBER JUNE JUNE
1924 23, 1924; 18, 1925; 14, 1935;
9 YEARS 10 YEARS, 10 YEARS 20 YEARS
6 MONTHS 1 MONTH 7 MONTHS 7 MONTHS
Pitch 79 82 78 81
Intensity 76 -- 94 94
Time 71 62 -- 70
Tonal memory 80 -- 88 98
Consonance 64 -- 74 76
Rhythm 72 -- 88 86
_Character rating_. After six months' acquaintance, on
September 14, 1924, when F was about 10 years old, he was
rated by Leta S. Hollingworth for various estimated traits
on a 7-point rating scale as follows:
Extraordinarily good (Grade 1)
Prudence and foresight, will power and perseverance,
appreciation of beauty, sense of humor, sensitiveness to
approval or disapproval, desire to excel, freedom from vanity
and egotism, conscientiousness, desire to know, originality,
common sense, general intelligence.
Decidedly superior (Grade 2)
Self-confidence, musical appreciation, leadership, popularity
with other children, sympathy and tenderness, truthfulness.
Rather superior (Grade 3)
Cheerfulness and optimism, permanency of moods, generosity
and unselfishness, mechanical ingenuity.
Average (Grade 4)
Health, amount of physical energy.
Rather weak (Grade 5)
Fondness for large groups.
Although there is no formal record of the fact, it is known that
fifteen years later this rater would have made different judgments
on most of these traits not relating to strictly cognitive
characteristics. Other judges acquainted with F rather unanimously
disagreed with the high ratings here accorded such traits as
prudence and forethought, will power and perseverance, sensitiveness
to approval or disapproval, freedom from vanity or egotism,
common sense, leadership, popularity, sympathy and tenderness,
truthfulness, generosity and unselfishness, and these ratings
are as a matter of fact inconsistent with F's subsequent history.
HOME RATING
On May 6, 1924, the home of F was visited by a social worker
trained in the use of the Whittier Scale for Home Rating. The
rating was reported as 21, with a possible score of 25. Neighborhood
was average, in a fair section of New York City. Details were as
follows:
_Necessities_. Father bookkeeper with steady, small salary,
adequate only for necessities. Food and clothing of good quality,
conditions neat and clean but plain. Heat, light, sleeping
facilities fair. Grade 4.
_Neatness_. Sanitary conditions good; rooms well kept and clean;
apartment rear, second floor, little view. Considering the
equipment, household run in an efficient manner. Grade 4.
_Size_. Four small rooms and bath for two adults and two children.
Conditions crowded. Grade 4.
_Parental condition_. Parents socially adaptable; there appears to
be harmony in home; parents have too few outside interests.
Mother practically always at home; father at home evenings.
Grade 5.
_Parental supervision_. Parents keenly interested in development
of children. Their own education is limited, which is a handicap
in directing and educating the children. Little need of discipline
in home, though mother is lax about carrying out
threats. Parental example good. Grade 4.
MISCELLANEOUS CHARACTERISTICS
_Play interests_. F preferred playmates of his own age and sex.
He would spend hours at a time "using marbles for soldiers and
working out military formations." Being with older children in
school, he was somewhat backward in joining in their outdoor games.
_Reading interests_. From 6 to 10 years of age F read a great
variety of books, "particularly geography and history" and
"averaging probably 20 hours weekly." He was especially interested
in dictionaries and encyclopedias; would always look up new words
in detail. Most of his leisure time was preferably spent in reading.
LATER EDUCATIONAL CAREER
As already recorded, F was transferred in 1924, at the age of
10 years, to the Special Opportunity Class in P.S. 165, Manhattan,
then being organized for experimental purposes connected with
the education of children of rare intelligence. He graduated
from this class into senior high school. He and another boy
(Child C, Chapter 6) led this highly selected group of children
in achievement tests. As he was at this time, Leta S. Hollingworth
wrote of him:
I have never met with a more interesting child than he was, and
the same creativeness and inexorable logic which characterized
him then have always continued.
He entered, after a brief experience in a progressive private
school, a public high school in New York City, in 1925. His high
school career was a checkered one, typical in some respects of his
later educational history. For one thing, he was a constant truant,
and he refused to do the required work in physical education.
He had always been averse to physical activity and loathed manual
work to the end of his career. He said that the gymnasium work
always left him feeling "worse," gave him colds, and was of no use
to him. Perhaps his subsequent medical history throws some light
on the reasons for these observations.
His truant hours were spent partly in the public library, where
he read continuously in technical volumes in a great variety
of fields and accumulated an amazing fund of general information
and esoteric lore. Law, theology, history, science, and literature
were some of his favorite fields.
When not in the library, he would usually be at a chess club
to which he had been granted access and where he had learned
the game. He rapidly developed into an expert chess and bridge
player, and in Eastern chess tournaments is said to have achieved
the ranking of seventh in the national list. He always managed
to appear at high school to take the necessary examinations,
and passed all his subjects with good standing and even with
phenomenal records. But his inexplicable truancy and his refusal to
do the required work in physical education baffled the educational
authorities. They finally refused to graduate him with his class--
although his record was among the best--until he had redeemed
himself by doing the gymnasium work in a fifth year. In 1930
he did this, and also carried some additional courses and thus
was allowed to finish high school, requiring longer than the
conventional period for this because of his refusal to accommodate
his own interests and ideas to the regular routine.
In spite of irregular attendance, F took some part in high school
activities. His main activities, of the extracurricular sort, were
chess club, chess team, poetry club, debating society, mathematics
club, board of publications, program committee. He was executive
member of the debating society and of the law society, vice
president of the poster club, and two or three times section
president. His record, of course, shows no athletic history and
no physical activities engaged in.
For the four years following 1930 F continued to frequent the
public library, the chess club, and the bridge games. At one
time a patron friend made it financially possible for him to enter
college at the College of the City of New York. He quit before
the end of the first term, again because he hated the required
gymnasium work and said he always got a cold and felt bad after
such exercise. Although he was again and again urged by people
who knew his ability not to waste it at chess and bridge, he
showed no apparent interest in going on with college. He replied
that he could always make a living some way or other. Uncongenial
home circumstances and the general unemployment situation prevailing
at the time perhaps heightened this indisposition and lack of
ambition. While other boys who had been in the same grade school
and high school classes with him were finding part-time employment
and working their way through college, F was contented with his
chess games, with an occasional bit of money won at cards, and
with his hours in the public library.
In 1934 he was asked to take the CAVD tests by the Institute
of Educational Research at Teachers College, Columbia University,
to help determine the highest scores to be expected on this scale.
He and another boy, both selected because of their known phenomenal
range of information and intellectual alertness, "went through the
ceiling" on this scale, thus again confirming the earlier records
of his mental level so far as intelligence was concerned. On
the same occasion he was given the Coöperative General Culture
Test, by Dr. Lorge. In this his score exceeded that of superior
college graduates.
In September, 1934, F was again persuaded, through financial
assistance practically forced upon him, and after much urging
and long discussion, to try college. He enrolled in Columbia
College, once more a freshman. He carried a heavy program, tried
to do certain outside jobs as assistant provided for him, and
probably overworked. He had declined one patron's offer to give
him a stipulated sum of money for the year if he would abstain
from chess for that period. In fact, only vigorous prodding led
him to go to college at all at this time, even with the way opened
for him.
The outcome appeared to be another fiasco. In January, as the
examination period drew near, he became ill, developed pneumonia,
and for the second time withdrew from college before completing
a term of work. In this instance his illness appeared to justify
the act.
In the autumn of 1935, having been nursed back to reasonable
health through patrons interested in his case, he was urged by them
to make a fresh start and to try the University of Chicago plan,
under which students could progress as rapidly as they were able
to satisfy the requirements through comprehensive examinations. He
entered the University of Chicago that fall, for the third time a
college freshman, agreeing to do this without any great enthusiasm
of his own but as part of what was called an "educational
experiment."
Of his record on entrance the following comment was made by
the chief examiner:
The examiners have called my attention to a freak case in
our records for the incoming students. . . . His performance
seems almost unbelievable. On the freshman classification
tests his performance was as follows: first in the vocabulary
test; first in the reading test; second in the Intelligence
Test of the American Council; third in the English placement
test; third in the physical science placement test . . . in
the freshman class of about 750 students.
In addition, he also took four Comprehensives with the following
grades: Biological Science, A; Humanities, B; Social Sciences,
A; Physical Sciences, D.
The year at Chicago was not without episode. F was held up by two
gunmen, engineered the capture of one of these, and was advised
to disappear for a time during the excitement. Impetuously,
and without resources except the provisions made by his sponsor
for his own subsistence, he married a young Jewish girl. But the
"Chicago Plan" kept its word, and by the end of the year F had
passed all the Comprehensives required to give him his B.A.
degree. In doing this he acquired a good deal of newspaper and
popular magazine notoriety, and his photograph, and that of his
young wife, were often reproduced in the public prints.
Although he fancied he would like to be a lawyer, F finally
decided to go in for graduate work. Some uncertainties prevailed
in connection with his acceptance by some of the graduate schools
because, although he had been three times a college freshman
(a point never brought out in the newspaper accounts of his
educational progress), he had completed but one year of college
residence.
Eventually he was awarded a graduate fellowship in Teachers
College, Columbia University, for study toward the Ph.D. degree
in education, and he completed a year of work there, accomplishing,
in addition to the class work, a minor experimental study, a report
of which was subsequently published. For the following year he was
appointed Assistant in Psychology at Barnard College. At the last
moment, just before the beginning of the new term, he decided
to shift to law, which was one of his boyish ambitions. He was
enabled to return to Chicago for this purpose.
Chess, bridge, and racing continued to intrude themselves into
his activities, although he was pledged to abstain from them.
His marital affairs did not run smoothly; contrary to his promises
he incurred additional indebtedness; but he continued to carry on
his law studies with passable records. Then he suddenly became
seriously ill and was discovered to have an inoperable abdominal
cancer. Again his educational career was interrupted and he
returned to New York for care and treatment. Before another
year was over, in December, 1938, he died of this affliction,
at the age of 24 years.
In spite of a brilliant mental endowment, early discovery, much
educational encouragement, and material assistance, a Bachelor's
degree and a few chess prizes and bridge victories represent F's
final achievement. The chief causes of this relative failure to
make the most of his potentialities appeared externally in the
form of character traits. His parents said of him that it was
never necessary to stimulate his desire to learn; they also
reported him to be "willful and head-strong." These unpropitious
traits were as a matter of fact apparent in his early school days.
They became magnified as he was given freer opportunity for
self-expression and activity. We know so little about the
identification and genesis of character traits that the case makes
little or no contribution to our understanding in this direction.
It is not known how early the physical disability that finally
terminated the picture had been operating; it may even have been
at the bottom of what appeared socially as a personality defect.
[1] This chapter was written by H. L. H.
CHAPTER TEN
CHILD G
Child G is a boy, born in Brooklyn, New York, May 26, 1923. Records
of his test scores that are available date from 1930, at which
time he was 6 years 6 months old. A record of his development
has been kept by his parents, who take an unusual interest in
educational problems. They have freely and intelligently coöperated
in the frequent objective examination of G, and have consulted
with teachers concerning problems of adjustment and educational
development.
FAMILY BACKGROUND
G is of Hebrew parentage, and all four of his grandparents attended
Hebrew school. His paternal grandfather was a tailor, his maternal
grandfather an installment dealer. G's father is a lawyer; in an
Army Alpha test he made a score of 178 points. His mother, before
her marriage, was a typist and stenographer. There are among the
relatives a doctor, a lawyer, a rabbi, a college professor.
A cousin stood highest in a city-wide achievement test given
to public school pupils in New York City. His only brother, younger
than he and the only sibling, has an IQ of 150-155 (see [below, [G'S
BROTHER'S RECORD]).
EDUCATIONAL HISTORY
In January, 1934, Edna W. McElwee published a preliminary account
of G's school achievement up to that time. [1] A few months later
G's father published an account of the boy's reading interests. [2]
Data recorded in these two reports have been made use of in the
present chapter. [3]
G learned to read before going to school, but at this time his
parents did not realize that he was exceptional. After a term in
kindergarten he was promoted to Grade 1A, after a few weeks to 1B,
and then to 2A. At the end of the term he was placed in 3A. Then
he was doubly promoted each term for a time, entering the 6A grade
at the age of 8 years 6 months. The principal reported:
He absorbed information easily and quickly and, regardless
of the grade in which he was placed or the length of time he
had been in the grade, his work and his ratings were always
much beyond those of his classmates.
During these early years G preferred being alone with his books
to playing with other children. His parents intelligently sought
advice on the correction of this and encouraged him, successfully,
to play with other children, first with those younger than he,
and then with children of his own age. He made a ready adaptation,
and in time had a group of boys with whom he played and who were
sometimes invited by his father to accompany them on Saturday
afternoon excursions. He developed an interest in all sorts
of ball games and became a good swimmer.
G read widely, and his parents from the beginning exercised
some supervision over the character of the books provided for him,
and they read to him at bedtime, about an hour daily. There were
included in his reading not only a large selection of children's
books and stories but also books of history, mythology, biography,
poetry, science and art.
The Saturday excursions to places of interest were a regular
institution, and these interests were readily tied to G's reading.
Among the places thus visited were the zoo, botanical gardens,
aquarium, navy yard, fleet, airport, museums, art galleries, Hall
of Fame, numerous factories and industrial plants, fire department,
public utilities, observatories. Plays and concerts were attended,
and good taste in music was encouraged. Educational use was made of
radio programs. G learned to play the violin and joined the school
orchestra. At his own request he was given private instruction
in Hebrew and made good progress.
At an early age--7 or 8 years--G became interested in chemistry,
and was provided with a chemical outfit for his own use. With
this he busied himself a great deal, and he kept his classmates
provided with ink of his own manufacture. He has collected both
stamps and coins and also _Popular Science_ magazines.
There is in the files a large collection of his remarks in
childhood, recorded by his parents. They show early thoughtfulness,
curiosity, and judicious discrimination.
Of G's later educational experience Miss McElwee wrote as follows:
"At eight and a half years of age he was transferred to P.S. 208,
Brooklyn, where he entered the 6A group of the Individual Progress
class, which had been organized for superior children. The method
of instruction had been modified and the course of study enriched
to meet the needs of the pupils. . . . Tests of educational
achievement given in October, 1931, soon after he entered the
class, showed that his grade placement was 7.4 and his achievement
quotient 86. Similar tests given in May, 1932, indicated that his
grade placement was then 10.3 and his achievement quotient 97.
In those seven months he had completed three years of work. . . .
By January, 1933, he had gained another year and a half, and was
maintaining his achievement quotient. In other words, at 9 years
of age he was doing as well as a junior in high school."
His father wrote to the school at this time:
We are happy to tell you that G is full of his school work
and is very contented with the present curriculum. Inasmuch
as he has always complained until this term of lack of work
at school and always considered his school work a necessary
evil, we feel very grateful to you for his increased interest
and happiness.
EARLY MENTAL TESTS
The first recorded measurement of G's mental ability is found
in a report from the Educational Clinic of the College of the City
of New York, where he had been taken by his father for a private
examination. The report is made by Elise S. Mustor, Assistant
Director, as of January, 1930. G was then 6 years 7 months old.
His Mental Age was found to be 10-9, and his IQ is reported as 163.
This report also gives numerous other details which may be
summarized in the following tabulation.
REPORT OF G, JANUARY, 1930
Chronological Age 6-7
Mental Age 10-9
Intelligence Quotient 163
Height (with shoes) 48.5 inches
(About 3 inches above the
median for his age)
Height 59 pounds
(About 5 pounds above the
median for his height)
Reading comprehension Median of 5th Grade
Arithmetic reasoning Median of 4B Grade
Arithmetic fundamentals Median of 3A Grade
Perception of form and physi- Ranges from 7th- to
cal relationships 12th-year level
Auditory rote memory 10-year level
Vocabulary 10-year level
Physical condition: Well nourished. Tonsils and adenoids
removed. Breathing unobstructed. Teeth good. No defects
of heart, lungs, acuity of vision or hearing.
At the clinic his social responses were good. He was well poised
and unassuming; showed very fine effort and application.
LATER TEST RECORDS
_1931_. G was given a Stanford-Binet examination by Leta S.
Hollingworth in May, 1931, within a few days of his eighth
birthday. He achieved an IQ of 192. The following comment is
included in the record:
The increase over the IQ obtained at the age of 6 is not
unusual for a very young, very bright child, although it would
be very unusual for an average child. I shall be glad to test
G again when he is about 12 years old, and when he is 16 years
old. Also his little brother.
_1933_. On April 5, 1933, at the age of 9 years 10 months, G
was again tested by Leta S. Hollingworth, perhaps as a class
demonstration. He was then in Grade 7B and his IQ is recorded
as 176 plus. The following comment is made:
Children of G's present age can no longer be reliably measured
in terms of IQ by any existing test if they have previously
scored above 185 IQ. . . . The IQ of 176 plus merely informs us
that the test has begun to "run down" in his case. . . . Next
time we test him we shall have to use a test scoring in
_points_ only, which will place him on the centile scale for
adults. . . . His physical measurements correspond closely to
the norms for boys of about 11 years.
_1934_. There is in the files a Stanford-Binet record of G taken
by Leta s. Hollingworth, March 19, 1934. His age was then 10 years
10 months and he was in Grade 8B in P.S. 208, Brooklyn. He passed
without error all the tests in the scale (Average Adult and
Superior Adult).
_Miscellaneous records_. In the McElwee report already cited the
following scores are recorded, on a variety of scales, covering
a two-year period (1931-1933).
DATE TEST AGE SCORE
May 5, 1931 Stanford-Binet 8-0 192
Oct. 7, 1931 Porteus Maze 8-5 12 years
Healy Picture Completion 13 years
Porteus Form and Assemblying 8 years
Thorndike-McCall Reading: Form B 6B Grade
Stanford Achievement Test: Form A,
Arithmetic Computation 8A Grade
Trabue Language Completion, Alpha 15-10 years
May 18, 1932 Elementary Reading, Los Angeles,
Form 3 9-0 12A Grade
Arithmetic Fundamentals, Los
Angeles, Form 4 9A Grade
Woody-McCall Spelling, List 5 9B Grade
Trabue Language Completion, Beta 16-4 years
Jan. 6, 1933 New Stanford Achievement Test
Form V 9-8 18 years
Apr. 12, 1933 Powers General Science Test: Form A
(25 per cent of first-year high
school pupils exceed this score 9-11 62 points
at end of one year instruction
in general science.)
Apr. 26, 1933 Kent-Rosanoff Association Test 9-11 9 Individual
Reactions
Woody-Cady Questionnaire indicates
supersensitiveness--thinks people
look at him, make remarks about him,
find too much fault with him, etc.
The New Stanford Achievement Test score of 18 years of Educational
Age, achieved at the Chronological Age of 9 years 8 months, broken
down into detailed sections, was as follows:
EDUCATIONAL AGE
Paragraph Meaning 17-8
Word Meaning 18-8
Dictation 16-0
Language Usage 17-2
Literature 16-8
History and Civics 19-2
Geography 20-4
Physiology and Hygiene 18-5
Arithmetic Reasoning 19-2
Aritmentic Computation 17-8
Average 17 years 11 months
The examiner remarks: "Using the IQ of 192, his Mental Age would
now be 18 years 5 months. This would give him an Achievement
Quotient of 97.3 per cent."
TRAITS OF CHARACTER
At the age of 10 years G was described by his school supervisor and
parents as prudent and self-reliant, with will power, desire for
knowledge, wish to excel, and originality. He was conscientious,
truthful, cheerful, sympathetic, and had a sense of humor. He was
modest about himself and his achievements, did not like bragging,
and reproved his younger brother for such conduct. At this time
he wore glasses for an error of refraction, had "a slight speech
impediment and a nervous mannerism." He always wanted to do
things as well as possible. He set out to improve his poor
penmanship by learning manuscript writing. He was full of questions
about scientific aspects of the things and processes he saw about
him. He had a reliable and alert memory, even for incidental
observations.
PHYSICAL MEASUREMENTS
The physical measurements referred to in the 1933 mental test
["LATER TEST RECORDS, _1933_"] are as follows:
G NORMS
Standing height (in
stocking feet) 53.8 inches 53.6
Sitting height 27.7 inches
Weight (ordinary indoor
clothing except coat) 78 pounds 66.9
Right grip 14, 11, 10 kg.
Left grip 9, 9, 9 kg.
On August 2, 1937, there is a record of height and weight at
the age of 14 years 2 months, as follows:
G NORMS
Height (stocking feet) 63.7 inches 61.0
Sitting height 33 inches
Weight (no coat or shoes) 121.5 pounds 94.9
HIGH SCHOOL RECORD
By February, 1937, G was finishing his sixth term in Erasmus
Hall High School, Brooklyn. In the first five terms his work had
averaged 90-95. Regents' marks to that date were:
French, two years 95
Plane Geometry 100
Intermediate Algebra 98
European History 91
In June of 1935 he had won first prize in "an algebra contest
for the entire grade of his school." During the first four terms
he had ranked fifth in scholarship and in the fifth term he tied
for second place. A letter from his father records that:
In June, 1934, he scored 174 on the Terman Group Intelligence
test which was given to 27,573 boys and girls, graduates of
the elementary schools, public and parochial, who applied for
admission to the high schools in New York City, this score
being the highest reached, and was referred to, though of course
not by name, in John L. Tildsley's "The Mounting Waste of the
American Secondary School," at page 3 thereof.
A letter from G dated July 5, 1938, records his graduation from
high school at the age of 15 years. He there says:
At present my interest lies along abstract lines; mathematics,
chemistry, and physics are my favorite subjects. The occupation
I would like most to enter when my schooling shall be finished
would be mathematics. However, I see no chance for a job in
this field for research work as there is in, say, chemistry.
Hence I feel uncertain as to whether I shall make mathematics
my life work or whether I should specialize in one field or
another of chemistry, my second love.
There is a copy of the principal's statement "In Re Qualifications
of G, Candidate for Scholarship," at the close of his high school
career. It is worth quoting here as a record of the judged
characteristics of this 15-year-old boy whose thoughtful letter,
just quoted from, shows his serious concern over the theoretical
and practical possibilities of the various fields of his interest.
PRINCIPAL'S STATEMENT IN RE QUALIFICATIONS OF G,
CANDIDATE FOR SCHOLARSHIP
_Native ability_. Intelligence Quotient 174 on Terman Test given
at Erasmus Hall, the highest ever reached here; ranks fourth
in a grade of 712 in scholarship.
_Personality_. Pleasant and helpful; well liked and respected by
students and faculty; always agreeable, willing, eager to
help others.
_Loyalty_. Loyalty is unquestioned; fine home background
contributes to high ideals; his good example has inspired
loyalty in others.
_Coöperation_. Has given much time to clubs, to tutoring
students, and to giving clerical assistance in offices.
_Integrity_. Commended highly by teachers for uprightness.
_Leadership_. An active leader in many school activities; has
strong initiative and unusual resourcefulness.
_Thoroughness_. Class and extracurricular work characterized by
unusual care and thoroughness; carried through many long-term
assignments with a minimum of supervision.
_Originality_. Outstanding characteristic; while working in
his grade adviser's office he devised a new and superior
arrangement for finding the official classes of any one of
800 students in the grade.
_Partial list of activities and honors_. Program Committee, five
terms; Office Service, seven terms; Little Symphony, two
terms; Orchestra, five terms; Arista, four terms; Junior
Arista, three terms; String Ensemble, two terms; "Dutchman"
Staff; "XYZ" Mathematics Tutoring Club, three terms; prize,
Geometry Contest; prize, Safety Essay contest; medal,
Algebra contest.
_Comments by teachers_. "Very efficient and reliable." "Very
good assistant." "Fine work on Arista Membership Committee."
"Fine boy, earnest, and willing worker." "Brilliant mind."
"Diligent worker."
In June, 1938, upon graduation from high school, G was awarded
a scholarship in Harvard University, which he entered in the
ensuing academic year.
G'S BROTHER'S RECORD
A brother younger than G and his only sibling was tested at the
age of 5 years 6 months at the Educational Clinic, College of the
City of New York. His IQ (S-B) was 151. Other scores were:
Goodenough Drawing 6.0 years
Porteus Maze 5-6
Pintner-Patterson Performance 6-6
Stenquist Mechanical Assembly 6-0
Gates Primary Reading Scale 1B Grade
Stanford Achievement: Arithmetic 1B Grade
This child was also measured by Leta S. Hollingworth in February,
1933, when he was at age 6-10, and the Stanford-Binet IQ was 152.
Other measures made at that time were:
Standing height 50.75 inches
Sitting height 27.75 inches
Weight 78.25 pounds
Found "left-handed"
A letter from the father dated June 24, 1938, reports that G's
brother "graduated from public school this week (age 11 years
6 months). He was awarded one of two history medals given in a
class of 134. In the Terman Group Test given to about 1000
applicants he scored 153, which is the fourth in the group.
The first one in the group was 156."
[1] McElwee, Edna Willis. "Seymour, a Boy with 192 IQ." _Journal of
Juvenile Research_, Vol. XVIII (January, 1934), pages 28-35.
[2] "The Reading of a Gifted Child." By his Father. _Journal of
Juvenile Research_, Vol. XVIII, No. 2 (April 1934), pages 107-111.
[3] This chapter was written by H. L. H.
CHAPTER ELEVEN
CHILD H
Child H, at the time this account is written, [1] is a girl
of 17 years, but the data on record terminate with her tenth
year. She was born March 25, 1924, in New York City. Her parents
have kept a diary of her development, and an aunt with special
educational interests has made various observations and records
of her and has also familiarized herself with the parents' records.
FAMILY BACKGROUND
Her grandparents on both sides were Austrian Hebrews. The maternal
grandfather was a rabbi and did some writing. The maternal
grandmother is said to have shown some unusual mental alertness,
a surprising and almost untutored aptness in numerical calculation.
At 65 years of age she learned to play bridge very well, and
in her old age continued to show lively interests.
_Parents_. H's father is a newspaper reporter. He attended college
for three years. He was 29 when H was born. Her mother is a high
school graduate and before marriage was a stenographer. She was 28
when H was born.
PRESCHOOL HISTORY
H is reported as a healthy child, of average stability. She is a
first-born child. She began to walk at 14 months and to talk at 16
months, according to the parents. She cut her first tooth at
9.5 months. H did not learn to read until after she was 4 years
old. At this age she was fond of play and her playmates were
children ranging in age from 3 to 9 years. Her favorite recreations
were sedentary--drawing, painting, mosaic blocks, and the like.
At 2 years of age she was given a box of wooden beads for stringing.
"She very quickly learned the art of holding the string in the
right hand and the bead in the left, and became very much absorbed
in her work. Suddenly she looked up and said, 'Beads, onions.'"
The record continues: "Alternatives seem a preferred mode of
expression at present, so that she wants 'soup, _not_ peas';
her hands are 'clean, _not_ dirty.'"
At 2 years 10 months, upon seeing a picture of a little girl
mailing a letter, she told herself the following story:
Once upon a time there was a little girl and she wanted to
mail a letter. She went out and looked for a letter box and
found one near the drug store. She mailed the letter and it
came to Wawarsing and Sheve received it." (Sheve was an aunt
living at Wawarsing.)
Storytelling and writing plays and verses became a favorite
pastime in later childhood.
At this time H had imaginary companions. "For several days Mr.
Parkey (an invented character) was her very close friend. She
played with him, conversed with him, loved him, killed him,
and brought him to life again." She also invented new names
for her dolls--Flossie became "Woozie" and Alice became "Katch."
At 2 years 11 months she asked the meaning of the words "excitement,"
"guarantee," and "neatness." She constantly asked about the meaning
of words. She sang songs to herself, such as "Go into the next
room, where there's no steam heat." At this age she asked how
babies are made. "Where do they come from? How do they come out?
Why? Will a baby grow in my belly when I'm a big lady?"
At 3 years she wanted to know if people "wear out" like brushes
and combs. She purchased for an imaginary house "an extrola,"
"a gate-legged table," "a gate-legged bookcase," and "gate-legged
chairs."
At 3 years 0 months, waiting for her cereal to cool, a lump
of butter put into it is slowly melting. H remarks, her eyes
on the butter, "Now it's a baby--baby died--no more baby."
And noting the snow, she said, "My muffler is as white as the
snow." She looks again at snow and muffler. "No, it's a _different_
white."
There is on record a vocabulary compiled by the mother when H was
3 years old (May 23, 1927). It was based on a count of "all the
words _used_ by H regardless of whether she could tell exactly
what they mean. Tenses of verbs are given but no plurals of nouns."
The list includes about 1400 words, approximately classifiable
as follows:
Nouns 745 Pronouns 17
Verbs 401 Prepositions 15
Adjectives 161 Conjunctions 5
Adverbs 63 Interjections 9
MENTAL MEASUREMENTS
_March 24, 1927_. Age 3 years. Stanford-Binet examination given
by Dr. Ella Woodyard, with the following results: Mental Age,
5-6; IQ, 183.
_March 8, 1930_. Age 5 years 11 months. Stanford-Binet examination
given by Leta S. Hollingworth, with the following results: Mental
Age, 8-9; IQ, 148. At this time H was in Grade 1A.
_April 21, 1933_. Age 9 years 1 month. Stanford-Binet examination
given by Alice M. Holmes, with the following results: Mental Age,
17-2; IQ, 189.
At this age she was in Grades 5A and 6B, P.S. 206, Manhattan,
and is described as "a quiet and unassuming person, but most
responsive. She would like to be with children her own mental
age, for then she would get a mental stimulus and a social life
that seems to be denied her now."
In this same month (April, 1933) the New Stanford Achievement
Test: Advanced Battery: Form V, given by Alice M. Holmes, showed
scores as follows:
Paragraph Meaning 109 Geography 105
Word Meaning 103 Physiology and Hygiene 90
Dictation 87 Arithmetic Reasoning 94
Language Usage 91 Arithmetic Computation 110
Literature 91 Average score 97.8
History and Civics 98
_September 11, 1934_. Age 10 years 6 months. H was given Army
Alpha, Form 8, by Leta S. Hollingworth. Her score was 135 points,
which is median for college sophomores. H was then in Grade 7B. It
is noted that "This result is just what would have been predicted
from tests made by us when H was 3 years old."
_November 9-17, 1934_. Age 10 years 7 months. During this week
H was given a number of tests by Leta S. Hollingworth, with the
following results:
Stanford-Binet: Mental Age: 18-6; IQ, over 174, "unmeasured
by the test."
Intelligence Scale CAVD
Levels I-M Score 394
Levels M-Q Score 392
Coöperative General Science Test for College Students: Score,
17; Percentile, 11.
PHYSICAL MEASUREMENTS
_March 8, 1930_
H NORM
Standing height 47 inches 45.2
Sitting height 24 inches
Weight 48.25 pounds 41.7
_April 21, 1933_
H NORM
Standing height 54.5 inches 51.1
Weight 66.5 pounds 57.5
INTELLECTUAL ABILITY
There is a collection of many records showing H's reactions and
opinions from infancy up to the age of 9 or 10. These contain apt
comments, sage remarks, and discriminating judgments. They reveal
a lively intellectual curiosity and a socialized attitude.
H's parents have preserved copies of poems and short plays that
H has written. A collection of the "best ones," selections written
between 5.5 and 8.5 years of age, covers seventeen typewritten
pages. Among them are the following.
If I had Aladdin's lamp, you see,
I'd give one wish to you and me.
And then we'd wish for every toy,
That every child should have some joy.
_Age 5 years 6 months_
On the clover fields he roams,
In the mountains,
At the homes,
Makes the trees and flowers grow,
And manufactures pure, white snow.
--God--
_Age 8 years 6 months_
There was an old soldier
He was all dressed in brown
This soldier had an honor--
He was known all over town.
This old soldier had a misfortune,
That was known too.
His beard it covered his medal,
And people couldn't see through.
_Age 8 years 6 months_
There are in the collection brief stories, continued tales,
short verses, longer poems, dialogues, and plays divided into
scenes, with appropriate stage instructions.
From after the tenth year there is an undated poem, submitted
to the examiner September 19, 1939, by the aunt of H. This poem,
entitled "The Gospel of Intolerance," won a prize in a poetry
contest. Of it the aunt writes:
It was fished out from the wastebasket by my sister. To the
question why she had thrown away the "Gospel of Intolerance,"
H answered that she did not think it was worth keeping, that
she had no particular idea in mind when writing it, and that
she was just practicing on the typewriter and thought of the
phrase "They said no," and then the rest just came by itself.
Incidentally, H has never read the Bible.
"The Gospel of Intolerance" occupies a full single-spaced
typewritten page. It begins as follows:
The Gospel of Intolerance
They said no
And who shall but hear the whisper of command shall without
question don his uniform and go out upon the field of
death in obedience
And who shall lie asleep in the sun must be roused
And who shall sit in lavender chairs eating of the earth shall
drop his spoon
And who shall lie with the woman shall turn from his passion
And all this shall be done without words as the answer to the
whisper of that which is calling and that which is in
command
And he who shall stuff his ears with cotton must needs be
twice called
[1] By H. L. H.
CHAPTER TWELVE
CHILD I
This child, a girl, was born in Palo Alto, California, June 17,
1929. She is the daughter of one of the male children studied
by Terman and reported in _Genetic Studies [of] Genius_. She was
first observed when, in September, 1937, she entered a special
class for "rapid learners" established by Leta S. Hollingworth
at Speyer School, P.S. 500, Manhattan. [1] This experimental
group was made up of fifty children chosen from the public schools
of the city on the basis of intelligence, and their range in IQ was
from 130 to 200. Of these fifty selected children, Child I was one
of three whose IQ's exceeded 180.
FAMILY BACKGROUND
Child I's paternal grandfather was still living in 1939, aged 69.
He had a Normal School education (South Dakota) and was teacher,
farmer, and small-town merchant. His education was superior to that
usually achieved by farm boys. His special interests were church,
travel, and repair work on his own properties. He is described by
his son as stubborn, thrifty, and industrious, with uncompromising
attitudes toward worldliness.
I's paternal grandmother died when I's father was 9 years old.
She had been a teacher of music and kindergarten, and a housewife.
She was educated in a Normal School and a Conservatory of Music.
She was an active leader in her community, established her own
kindergarten, and was socially and musically active in local
ways. Her home was in South Dakota and her father was first Land
Commissioner of Dakota Territory. He had led a group of homesteaders
into that region about 1860. He was politically and educationally
active--Commissioner of Immigration, Commissioner of Education,
in the Territory.
No mentally defective or otherwise generally incompetent relatives
on the father's side are known. The great-grandmother of I, on her
father's side, is said to have been a relative of Phillips Brooks.
I's maternal grandfather was born in Texas of ancestry half
French-Huguenot and the rest German-English. He was a high school
graduate. He was in later life a merchant and real estate operator
and active in community affairs.
I's maternal grandmother was born in Oklahoma, her ancestry being
French-Huguenot, Welsh, and Irish. In education she lacked a half
year of completing the work for her B.A. in the University of
New Mexico. After her marriage she devoted herself to her home
and family. She was talented in dramatics and was active in local
church, club, and lodge affairs.
_Father_. I's father was born March 21, 1909, in South Dakota.
He is mainly of English descent. He has the degree of B.A. and
also of M.A. from Stanford University, and he was a candidate
for the degree of Ph.D. in Public Law in an Eastern university
at the time of this inquiry. He was for eight years a college
instructor, and later was connected with a government department
at Washington, D. C. He has been active in his profession, has
written in the field of government, and is a member of various
academic societies. He was one of the 1000 children described by
Terman in _Genetic Studies [of] Genius_. He has been self-supporting
since the age of 19.
_Mother_. I's mother was graduated from high school in New Mexico
and attended the University of Kansas for one year. She then
transferred to the University of New Mexico, receiving her B.A.
degree in 1930. Two years before (1928), when she was 20 years
old, she married I's father, and continued her college course.
After graduation she managed her home and also took some graduate
courses. In high school she was class poet and in the Honor
Society four years. In her college years she was active in sorority
life and on publications. Her major interests were debating,
dramatics, and student government. At the University of Kansas
she was on the Dean's Honor Roll (1925-1926). At New Mexico she
held various scholastic offices and was awarded several honors.
In more recent years I's mother has taken an active part in
the League of Women Voters and in the Faculty Wives' Club in
the college where her husband has been teaching.
PRESCHOOL HISTORY
The following data have been supplied by Child I's parents, who
kept a baby-book record of her development:
Length of pregnancy, 8.5 months. Weight at birth, 8 pounds.
Breast fed to 2.5 months, then bottle fed to 18 months.
First teeth appeared at 5 months and first permanent teeth at
5 years. Walked alone (several steps) at 10.5 months.
Talked in short sentences at from 18 months to 2 years.
Childhood illnesses--measles, whooping cough, mumps, chicken
pox, colds.
EARLY EDUCATIONAL HISTORY
At the age of about 2 years Child I had been observed in the
Institute of Child Development (Teachers College, Columbia
University) and reported as being hyperactive and of high intelligence.
At the age of 3 or 4 years she was used as a demonstration case
before a class in psychology in the University and the Mental Age
of 7 was assigned to her at that time.
Shortly after, she attended a kindergarten in the neighborhood of
her home where "they gave her extra work--French and dancing." She
liked this school. At the age of 5 years she entered kindergarten
at P.S. 193, Manhattan, for half-day sessions only, although
she wished to go all day.
At the age of 6 years she was entered in the first grade at P.S.
186, Manhattan, and in the second term was "skipped" to Grade 2A.
"She spent her spare time aimlessly drawing, and was allowed
to bring library books to school. Some of the time she sat with
folded hands when her work was finished, and she resented this."
MENTAL MEASUREMENTS
January 14, 1937, was the date of I's first examination, at the age
of 7 years 7 months, and her Stanford-Binet IQ was 184.
In September, 1937, at the age of 8 years 3 months, she was given
Intelligence Examination CAVD, Levels H-M. Her score was 361
points. The comment recorded by the examiner (Leta S. Hollingworth)
is: "Median seventh-grade child is close to this mark." Child I had
at this time just come from a school in which she had been placed
in the third grade.
Records are available of several achievement tests Child I took
at different dates. Representative results are to be found in two
Stanford Achievement tests given in December, 1937, and in June,
1938. In the first of these she averaged an age rating of 12-3
and a grade of 6.3; in the second, her age rating was 13-5 and
her grade 7.6. In six months she had advanced a year and two
months in Educational Age and had made a similar advance in
grade status. The following table gives the detailed results
of these two examinations.
AGE AGE GRADE GRADE
SUBJECT DECEMBER, JUNE DECEMBER, JUNE,
1937 1938 1937 1938
Paragraph Meaning 13-7 15-8 7.8 9.7
Word Meaning 12-11 15-4 7.2 9.3
Dictation 9-11 11-7 4.1 5.7
Language 14-4 15-4 8.4 9.3
Literature 11-11 15-6 6.1 9.5
History and Civics 13-1 13-7 7.4 7.8
Geography 12-4 14-8 6.6 8.7
Physiology and Hygiene 12-11 13-5 7.2 7.6
Arithmetic Reasoning 11-8 11-3 5.8 5.4
Arithmetic Computation 10-5 11-0 4.4 5.1
Average score 12-2 13-5 6.5 7.8
Child I left this experimental school a year after admission,
when her father was appointed to a position in another state,
to which the family moved. In the new school she was placed
in the fifth grade, on the ground that she might make better
social adjustments there, although her achievements were clearly
already better than those of average sixth-grade pupils. It is
unfortunate that no follow-up of this child has been possible.
Her record and the variety of her abilities were striking. She
was one of the most outstanding and best-liked pupils in the group
at Speyer School. In addition to her remarkable intelligence she
possessed desirable supporting traits which led the teachers to
predict that she might "go farther" than any other child in the
selected group of fifty "rapid learners."
The fairly complete account of I's background and early development
has been here provided in the hope that it may be made of use by
investigators at some later time.
PHYSICAL MEASUREMENTS AND HEALTH
Measurements, as of January 16, 1939, age 9 years 6 months,
were as follows:
CHILD I NORM
Height 58.5 inches 52
Weight 96 pounds 61.5
Chest circumference 29 inches
Head circumference 21.1 inches
Eye color brown
Hair color dark brown
Tonsils and adenoids caused trouble in 1933 and were removed
in 1934. No visual defects noted. Occasional headaches "usually
from reading or remaining long periods indoors." Hearing excellent.
Nutrition excellent. No symptoms of general weakness.
Parents report I to be "at least very excitable," and that she
shows "impulsive actions and extreme eagerness."
No sleep difficulties; no muscular twitching; no special fears.
Sleeps nine hours, fairly soundly.
MISCELLANEOUS CHARACTERISTICS
Her superior ability was first noticed by people from the
University, at 15 months, because of comprehension beyond that
expected at such an age."
She is interested in music and wrote the school song at Speyer.
She has been very much interested in nature study and science
since her second or third year, and "in her relationship to the
world and the cosmos." Has asked questions frequently concerning
origins and creation.
She has shown no special interests in mechanics, drawing, or
painting, but from her second year she has had active interests
in recitation and in the dramatization of nursery rhymes, etc.
She has played with imaginary companions. She began making up
rhymes at an early age. "She reasons logically and has a strong
sense of justice."
A neatly bound volume of typed pages, prepared by I as a Christmas
present, 1937, for Leta S. Hollingworth, is entitled "First Poems."
There are in the collection a dozen short verses or longer poems,
each dated by I's age at the time of composition. The ages range
from 4.5 to 8 years. A few samples follow.
STARS
The stars are shining bright tonight
I wonder why they shine so bright
I guess to make it light at night.
_Age 5 years_
THE CAVE MAN
The cave man was a hunter,
A hunter brave and bold.
He wore the skins of those he killed
To keep him from the cold.
And many ages later, when he had passed away,
Men found in caves the sharpened stones
That he used every day.
_Age 7 years 5 months_
FLOWERS
Red and yellow tulips blooming on the lawn,
Blooming in the woodland, trampled by the fawn,
Little yellow dandelions hiding in the meadows,
Given to the cow to eat every time she bellows.
Pretty red roses upon a bush
Like a little lady bursting with a blush.
White and purple lilacs on a bush of olive green
As a birthday present were given to the queen.
_Age 7 years 5 months_
SEARCHING
A wandering stranger am I
I believe in nothing but the great powers of the gods,
The whole world have I searched for their wisdom.
But such wisdom found have I not.
Though I have searched the world over
Not a trace of such can be found.
I have searched on the hilltops, in the valleys--
I wonder if such things there are in this wide world of wonder.
The rocks have I broken
To find this great wisdom
But the wonderous marvels are not to be found.
_Age 8 years_
[1] This chapter was written by H. L. H.
CHAPTER THIRTEEN
CHILD J
Early in 1937 the principal of P.S. 107, The Bronx, New York City,
referred one of her pupils to the Bureau of Educational Guidance
of Teachers College, Columbia University. [1] This child was J,
a girl then about 7 years 6 months old, born May 18, 1929. She
was at this time in Grade 5A, and the principal and teachers
had concluded that she was so superior in mental level that the
ordinary school program could offer her no challenge.
Examinations by the psychologists of the Bureau showed clearly
enough the correctness of this judgment. At the age of 7 years
10 months, March 22, 1937, her Mental Age by Stanford-Binet was
15-5. Since she met with success on the Superior Adult level,
no actual upper limit of her ability was established. She was
reported, therefore, as having an IQ of 197 or better, and was
recommended for admission to the experimental class for quick
learners in Speyer School, P.S. 500, Manhattan, which she entered.
In connection with these tests at the Bureau of Child Guidance a
most instructive and detailed report was made by the psychologist
(Edna Mann). Most of the items of the following description
of J at this age are drawn from this report, which fills three
single-spaced typewritten pages.
FAMILY BACKGROUND
Both parents graduated from college. The father is an instructor
in English in a large Eastern university. In the interests of
educational research he took, on April 20, 1939, IER Intelligence
Scale CAVD, Levels M-Q. His score was 445 points, which the
examiner, Leta S. Hollingworth, reports "is included in the top
1 per cent of college graduates and indicates an IQ of not less
than 180 in childhood."
The mother of J is a graduate of a large Midwestern university
and a former schoolteacher. She also took the CAVD test at the
same time that her husband did, making a score of 436 points.
This, the examiner reported, "is included in the top 5 per cent
of college graduates and indicates an IQ of not less than 170
in childhood."
J has one sister, four years younger than herself, born May 1,
1933. This sister was given a Stanford-Binet test under distracting
conditions following a trolley-car accident. Of the outcome, the
examiner (Dr. M. C. Pritchard) notes: "This was not a good test
and perhaps should not even be included. . . . Several times she
asked to leave the room to see how her mother was. She was
obviously distracted throughout." Nevertheless, the Mental Age
found was 9-2 at Chronological Age 7-0 (IQ 131). In "the routine
test given to pupils in 1A grades of the public schools" this
sister is reported to have had a score of 143 (presumably IQ, by
some group test).
CHILDHOOD CHARACTERISTICS
At the age of 7 years 10 months J is described as poised, competent,
self-controlled, and with social and intellectual maturity
strikingly advanced. She had clear speech, excellent diction,
fertile and pointedly expressed ideas. She was a rather thin
child, with clear complexion and very bright blue eyes, and was
neatly dressed. Teeth were described as "slightly protruding."
In the test she was interested and coöperative. Her conversation
revealed a rich cultural background. She disliked the necessity
in school of repeated drills in things she already knew, and she
did not need or wish repeated instructions for the tests, even
when standard practice called for them.
She was well-read, and discussed with discrimination plays, books,
and radio programs. At 3 years of age she had been reading books.
At 5 she learned to write her name so that she could take out a
library card. At 7 years 10 months she had read six Shakespearean
plays. She read all kinds of books, and used dictionaries and
encyclopedias independently. She was at that time composing,
with a playmate, a "Jingles Book."
At this age she liked to play with children two or three years
older than herself. She played vigorously and for several hours a
day at many outdoor sports; she did not need to do school homework.
Her manner was natural, free from conceit and from exhibitionism
of her abilities. She had good habits of work and enjoyed the
challenge of the mental tests. Her vocabulary, language responses,
and abstract thinking were clearly on an adult level. She is
credited by the examiner with remarkable degrees of mental control,
concentration, constructive visual imagery, and manipulation
of mathematical and verbal concepts, rote memory, and inductive
reasoning.
On a standardized test of reading ability she exhibited a Reading
Age of 14 years 5 months at this time (7 years 10 months). Her
writing was reported as excellent.
Her earlier educational progress reflects her extraordinary
ability. In her first six months at school she completed four terms
of work. She was one term in Grade 3A, and then in one term passed
through 3B, 4A, and 4B.
J's parents had from the beginning given intelligent attention
to her adjustments in school and to her friendships. She had been
wisely guided, motivated to make friends rather than to be in
constant leadership, and she was well liked and accepted by
her classmates.
At this early age the psychological examiner was able confidently
to predict: "In view of her exceptional intelligence, her apparently
good health, her apparently excellent social adjustment, she can be
expected to attain distinction and to win leadership in higher
educational and professional fields."
LATER MENTAL TESTS
J was given a second Stanford-Binet test by Dr. M. C. Pritchard
within three days of her tenth birthday, on May 15, 1939, using the
1937 Revision, Form L. A Mental Age of 20 years was achieved which,
if her limit had been reached, would have meant an IQ of 200--very
like the 197 plus attaned at the earlier Chronological Age.
On February 17, 1938, at the age of 9 years 9 months, J had also
taken IER Intelligence Scale CAVD, Levels I to M, making a score
of 384 points.
Several records are available on the New Stanford Achievement
Tests given, a different form each time, to the pupils in the
experimental class at Speyer School at intervals of six months.
Annual tests at the close of each school year, for a period of
three years, may be used here to show J's ability and progress
in these respects. Such scores are as follows:
EDUCATIONAL AGE
FUNCTION FORM W FORM Y FORM X FORM W
June 16, June 1, May 31, May 18,
1937 1938 1939 1940
Paragraph Meaning 17-0 18-5 Unmeasured Unmeasured
Word Meaning 15-9 16-10 17-2 17-8
Dictation 16-6 17-8 18-2 Unmeasured
Language Usage 16-5 19-2 18-11 Unmeasured
Literature 16-0 16-2 18-8 Unmeasured
History and Civics 12-6 12-10 15-11 17-4
Geography 11-11 16-2 17-4 18-5
Physiology and Hygiene 12-6 14-6 16-10 18-5
Arithmetic Reasoning 13-1 16-6 17-4 17-6
Arithmetic Computation 11-10 14-6 17-6 17-6
Average score 14-4 16-3 17-8 18-5
Grade status 8.4 Unmeasured Unmeasured Unmeasured
The first of these achievement tests was given shortly after
J entered the experimental class, from the fifth grade in a
public school, at the age of about 7 years 6 months. At that
time her school achievement scores show her to have been between
eighth- and ninth-grade status, with an Educational Age just
about twice her Chronological Age. So far as Educational Age
is concerned, although the experimental program was half concerned
with enrichment activities rather than with the conventional
fundamentals, J advanced one year and eleven months during the
first school year there, one year and five months during the
second year, and nine months during the last year. By this time
progress was practically impossible because after the first
year most of her scores were unmeasured in grade status, being
above the standards for tenth grade.
As a matter of mere achievement scores, J was ready for high school
work at the age of being received from the fifth grade into the
experimental classes at Speyer School.
There are in the files several poems written by J while she was
in Speyer School, before May, 1939; that is, before her tenth
birthday. The following may be given as a representative sample
of these compositions.
A MARCH SNOWFALL
It's March, yet snow is falling fast,
And one may hear the wintry blast.
A budding tree, a sign of spring,
Will to me great gladness bring.
When crocuses have put their heads,
Above the softened garden beds,
And when in all the fields around
Lively little lambkins bound,
And green creeps up across the lawn
I'll be glad the snow has gone.
[1] This chapter was written by H. L. H.
CHAPTER FOURTEEN
CHILD K
Child K is a boy, born December 19, 1922. He first came to the
attention of this series of researches in 1929 when his grandmother
sought advice concerning his education from Leta S. Hollingworth. [1]
FAMILY BACKGROUND
K's paternal grandparents are English and Scotch-Irish. The
grandfather is said to write poetry and the grandmother to
compose music for the verses.
K's maternal grandparents are of Jewish origin, both born in
America. The grandfather was a teacher, the grandmother was "in
business." This grandmother was the seventh of twelve children.
The youngest of these is said to be "a brilliant woman of executive
ability." The eldest, at the age of 79, "reads all the papers,
compares notes, etc." One of the brothers in this group was a
physician, another a lawyer. A cousin of K teaches in Massachusetts
Institute of Technology and was called during the First World
War for special work in mathematics. This man's sister is an
arch[a]eologist married to an archaeologist. Three of K's
grandmother's sisters are teachers; another is an artist.
No mentally deficient or totally incompetent persons are known
among the ancestors.
K has two siblings, brothers younger than himself. Both are
reported to be "bright."
_Father_. K's father is an electrician, a graduate of high school
and of Cooper Union. He was born in Antigua and was 32 or 34 years
old when K was born. One of his sisters is a high school teacher
in Brooklyn; another is a nurse; another, a stenographer.
_Mother_. K's mother is recorded as of American-Jewish origin. She
was 30 or 31 years old when K was born. She is a graduate of high
school and of Hunter College (A.B.), New York City, and holds
a license to teach music in the New York City schools. At the date
of records she was actively in service, teaching general subjects.
She had taken three maternity leaves of absence.
EARLY DEVELOPMENT
K's parents rate him as a child with excellent health, sturdy
but nervous. He may have had measles, but there were no other
childhood illnesses except occasional colds. When tiny, he would
wake up with "great imaginings." At a little older age he would
cry "with high tension"; "he no longer does this."
According to parents, K cut his first tooth at 6 months. He began
to walk at about 20 months and to talk at about 2 years. He learned
to read at about 3 years. "While still a baby in his carriage he
could read 'ice' and he would read the billboards. Before 3 he
would sit down with a book and read."
At 5 years of age K wanted to discriminate in meaning between
"bluff," "joke," and "fake." He is "untiring in his attention to
books. He will sit with an American history, an English history,
and Godey's _History of American Beginnings in Europe_ (which goes
into Greece and Rome) and the dictionary around him, and will
work at these for hours."
At the age here reported K had no playmates. His younger brothers
played by themselves. K did not like to play. His favorite
recreations were reading and transferring pictures, and consulting
almanacs and dictionaries.
He has a passion for accuracy. He has as yet made no collections,
and has no pets. He has no imaginary companions and no imaginary
lands.
MENTAL MEASUREMENTS
On April 10, 1929, K was brought to Teachers College, Columbia
University, for mental testing. The Stanford-Binet and other
methods were employed. He was then 6 years 4 months old and had
not yet entered school. On the Stanford-Binet his Mental Age at
that date was 9-1, giving an IQ of 143. But the examiner added
a note to the record to the effect that: "It is predicted that
this child will test much higher later, when examined under
standard conditions, alone with the examiner." The conditions
under which this test was taken are not recorded, but it was
probably a class demonstration.
On March 26, 1931, at the age of 8 years 3 months, K was again
given a Standard-Binet test by the same examiner. He was then
in Grade 5A, although only two years before he had not yet entered
school. This time his Mental Age was 14-8, giving him an IQ of
close to 180. The earlier prediction of an increase in IQ at a
later age was fulfilled, under standardized conditions.
Although K was in Grade 5A at this time, it is noted that "Writing
is only about third-grade ability." In this manual coördination
K's score was nearer to his Chronological Age than was his mental
level. He was also given Trabue Language Completion Scale A on
this date, with a score of Grade 6.5, a full year ahead of his
actual, though advanced, school placement.
Of such cases the examiner commented as follows:
The little boy scored a Mental Age of 14 years 8 months.
Only one or two eight-year-olds in a hundred thousand reach
such a score. These children are so far beyond the average
that schools are not equipped to handle them adequately.
Experts in education do not know what the best procedure is in
regard to their placement in school, but we hope to find out as
time goes on. . . . I asked you to bring the little boy again
for purely professional reasons--to learn how he is developing,
how he conducts himself, and what his interests are. We
want to find out how to educate these children. . . . Tell
him I am sure he is going to have a good future if he learns to
get self-control. (I mention this last because you spoke of his
having emotional upsets.)
PHYSICAL MEASUREMENTS
At the age of 6 years 4 months, K's standing height was 48.2
inches and his weight was 50.5 pounds. (Norms 46.0 inches, and
44 pounds.)
At the age of 8 years 3 months, K's standing height was 53 inches;
sitting height, 28.2 inches; weight, 62 pounds. In the two-year
interval K had gained 5 inches in height and 12 pounds in weight.
(Age norms 49.8 inches, and 54.6 pounds.)
LATER EDUCATIONAL PROGRESS
There is little record in the files of the subsequent career
of this boy and no follow-up has been made possible. A letter
from his mother, dated December 30, 1933, reports that K "is now
just eleven (birthday this month) and will graduate from public
school next month."
This would mean completion of the eighth grade at the age of
11 years.
There is also a letter from his mother dated December 10, 1937,
at which time K was [nearly] 15 years old. In the following month
he was to be graduated from Theodore Roosevelt High School, New
York City. Plans were being made and advice sought concerning
college. K had "gone through high school an honor student. . . .
His high school record is outstanding. Regents marks, etc.,
exceptionally high."
[1] This chapter was written by H. L. H.
CHAPTER FIFTEEN
CHILD L
This exceptionally gifted boy, born May 5, 1927, was a member
from the beginning of the experimental group for "rapid learners"
established February, 1936, in Speyer School by Leta S. Hollingworth.
[1] In achievement as measured by standard tests from time to
time he led that group of highly selected children, his IQ being
200. At the request of his parents he had been recommended for
admission to the project by the principal of the public school
he was then attending in Brooklyn (P.S. 35).
FAMILY BACKGROUND
Child L's ancestry is Austrian-Hebrew. Of his paternal relatives,
an uncle and a cousin are rabbis, and at the time this record
was made a cousin was professor of mathematics in the University
of Krakow.
L's maternal grandfather was an Austrian merchant and also a
learned man, who is said to have written several books. The
maternal grandmother of L was active in local circles to which she
belonged. At her death she left money for L's college education. A
maternal uncle is an architect. L's mother's cousin is a physician.
No mentally defective or totally incompetent persons among L's
ancestors are known.
_Father_. Child L's father is a high school graduate. He was 33
years of age when L was born. His trade is that of jeweler, but
being unable to find work in this line he has taken employment
in a factory making airplane precision instruments.
_Mother_. L's mother is a high school graduate. She was 29 years
of age when L, her only child, was born. She was a dressmaker
before her marriage.
EARLY HISTORY
L is rated by his parents as having "good health" and as being
"well-balanced." He cut his first tooth at 9 months, began to talk
at 9 months, according to his parents, and to walk at 15 months. He
learned to read at 4 years. His playmates are several years older
than he (10-12 years). L likes to play. His favorite recreations
are reading, chess, and checkers.
In January, 1935, at the age of 8 years 5 months, he was in
Grade 5A1. His school ratings had been A for every term and
he had accomplished four years' work in two years. The Otis
Self-Administering Tests had been used in the school and L had
been credited with an IQ of 153--much lower than that subsequently
found to characterize him. It was at this time that he was
recommended for the group of "rapid learners" at Speyer School.
On September 28, 1936, at age 9 years 5 months, a Stanford-Binet
test given L by Donald MacMurray, a graduate student, showed him
to have a Mental Age of between 17-10 and 18-4, and an IQ of from
189 to 195.
On January 18, 1939, a Revised Stanford-Binet (1937 form) given L
by another graduate student showed him to have a Mental Age
of 19-6, his Chronological Age then being 10-8. The IQ thus
determined was 183.
More dependable is a similar measure made May 5, 1937, by an expert
in the Guidance Laboratory at Teachers College (Rosalind Blum). At
Chronological Age 10-0, with the Revised Stanford-Binet (1937
Form 1) L's score was Mental Age 19-11, IQ 199. Certain details
in the report of this test are worth reproduction here.
GUIDANCE LABORATORY REPORT OF L
Date of birth: May 6, 1927 CA 10-0
Date of test: May 5, 1937 MA 19-11
Test: Revised Binet, Form L IQ 199
L earned a basal age at Superior Adult I Level. At Superior
Adult II Level he successfully completed all the items except
interpretation of one of the proverbs. At Superior Adult III
Level one more test was passed--Orientation.
L was friendly and coöperative throughout the test. Although
he had never seen the examiner before, he made an excellent
adjustment to the testing situation. Throughout the test he
indicated a genuine desire to be as accurate as possible. All
his responses were given in great detail and he always told much
more than was necessary in order to earn credit.
Psychometrically L ranks in the top tenth of one per cent of
the population. His intellectual development is very superior.
His level of comprehension, vocabulary, memory, and verbal
ability are outstanding. He displayed excellent insight into
his work and spontaneously criticized his own performance.
When difficult items were presented, he frankly admitted that
he could not respond accurately. He was persistent in his
efforts and devoted excellent attention at all times. He has a
good understanding of the limits of his ability. . . .
It is impossible to recommend appropriate school placement for
this boy, since such ability as he possesses appears in about
one out of every million individuals. . . . His emotional,
educational, and social adjustments will always be difficult
because of his advanced intellectual development. . . .
L has acquired a wealth of information. We can be sure of one
thing--no matter where this boy attends school, no matter what
the teaching devices are, he will always learn new facts and
instruct himself. Such intellectual curiosity as this boy
possesses will always be satisfied because of his own drive to
acquire both information and skills.
A further picture of L's ability at an early age is given by his
scores in two CAVD Intelligence Scale records, made under the
supervision of Leta S. Hollingworth. The first of these was made by
L in November-December, 1936, at the age of 9 years 6 months. His
score (Levels M-Q) was 392 points, which is noted as "equivalent to
a good score for tenth-grade pupils who plan and are encouraged to
go to a first-rate college."
The second CAVD score (Levels M-Q) was made in the spring of 1939,
at the age of 11 years 10 months. His score was 416 points--a score
which is median for Teachers College M.A. candidates and also for
Yale Law school freshmen. Such a score is at the 3d decile of
scores made by Ph.D. candidates at Teachers College, Columbia
University. It was made by L while he was still in the elementary
grades.
ACHIEVEMENT AT SPEYER SCHOOL
A few records of scores on the New Stanford Achievement Test
will show the remarkable academic work of this boy from the age
of 9 years 6 months to 12 years 6 months.
SUBJECT December 4, December 6, December 12, December 4,
1936 1937 1938 1939
Age Grade Age Grade Age Grade Age Grade
Paragraph Meaning 17-8 11.7 18-5 UM UM UM UM UM
Word Meaning 15-8 9.7 17-11 UM 17-8 UM 18-8 UM
Dictation 15-6 9.5 17-6 UM 17-8 UM 18-2 UM
Language Usage 15-9 9.8 16-10 UM 18-8 UM 19-2 UM
Literature 13-9 7.9 16-2 UM 16-6 UM 16-8 UM
History and Civics 14-4 8.4 15-0 9.0 16-5 UM UM UM
Geography 17-6 11.6 19-2 UM 17-8 UM UM UM
Physiology and Hygiene 15-4 9.3 19-2 UM UM UM UM UM
Arithmetic Reasoning 14-1 8.2 19-2 UM 17-8 UM UM UM
Arithmetic Computation 14-10 8.9 17-4 UM 17-11 UM UM UM
Average 15-6 9.5 17-6 UM 18-2 UM UM UM
At the time of the first of these achievement examinations, age
9 years 6 months, L's achievement already exceeded the status of
high school freshmen. After this his work could not be measured
(UM) by grade standards. Progress was still possible, however, in
the subject in which his initial scores were relatively lower. All
but one of these were brought up to an "unmeasurable" point during
the second year. For such a child the time spent on drill in the
fundamentals would be sheer waste--and yet he is too young to go
to high school with children half again as old as he. In Speyer
School he entered actively into the enrichment program and was
intellectually easily the leader of the group.
The following chart shows, through scores in Modern School
Achievement Tests as of February 13, 1936, L's comparative status
with respect to normal expectations for his age and also with
respect to the average status of the class of gifted children
which he had just joined in the experimental school at Speyer.
FIG. 13. COMPARATIVE EDUCATIONAL ACHIEVEMENT.
[[The Y axis is labeled "Grade," while the X axis shows subjects.
Line 1 is L's scores, Line 2 is the Class Median, and Line 3
shows the Average Scores at "L's" Age. L's scores are always
higher than the Class Median, which are always higher than
the average scores. The scores for these 3 are as follows
(respectively): Comprehension, 9+, 6.5, 3.2; Reading Speed,
6, 5.5, 3.2; Spelling, 6.8, 5.6, 3.2; Language Usage, 9+, 5.8,
3.2; Arithmetic Computation, 6.5, 4, 3.2; Arithmetic Reasoning,
7.5, 4.5, 3.2; Health Knowledge, 8, 5.2, 3.2; Elementary
Science, 9+, 4.7, 3.2; History, Civics, 7, 3.7, 3.2; Geography,
8.6, 3.5, 3.2.]]
Young L's erudition was astonishing. His passion for scholarly
accuracy and thoroughness set a high standard for accomplishment.
He was relatively large, robust, and impressive, and was fondly
dubbed "Professor." His attitudes and abilities were appreciated
by both pupils and teachers. He was often allowed to lecture
(for as long as an hour) on some special topic, such as the
history of timepieces, ancient theories of engine construction,
mathematics, and history. He constructed out of odds and ends
(typewriter ribbon spools, for example) a homemade clock of the
pendular type to illustrate some of the principles of chronometry,
and this clock was set up before the class during the enrichment
unit on "Time and Time Keeping," to demonstrate some of the
principles of chronometry. His notebooks were marvels of masterly
exposition.
Being discontented with what he considered the inadequate treatment
of land travel in a class unit on "Transportation," he agreed that
time was too limited to do justice to everything. But he insisted
that "at least they should have covered ancient theory." As an
extra and voluntary project "he brought in elaborate drawings
and accounts of the ancient theories of engines, locomotives, etc."
Subsequent to a visit to the school by an assistant superintendent
associated with its work, L addressed to this dignitary the
following communication. He was at that time 10 years of age.
November 30, 1939
Dr. ------ ------
Assistant Superintendent
500 Park Avenue
New York, N. Y.
Dear Dr. ------:
Several of my classmates have informed me that you questioned them
as to the relationship of Archimides to our unit on "Music, Art,
and Literature." We are not confining ourselves to Music, Art, and
Literature, but are also studying the background that helped to
produce this culture. We feel that the only way that we can
acquire a full view of this is to study contemporary contributors
to the advance of civilization. I, being greatly interested in
mathematics, volunteered to deliver a report on Archimides who
was famous for his mathematical research.
But this is not the only way Archimides is related to our unit
on "Music, Art, and Literature." In the act of writing any great
piece of music a knowledge of mathematics is essential. Also
in any good work of art it enters into the form of perspective
without which a drawing is apt to be void and lifeless. Therefore
Archimides has been included in our unit.
I hope that you will soon visit our classroom again for all the
children enjoy the talks you often give them.
Respectfully yours
(Signed)
HIGH SCHOOL RECORD TO DATE OF WRITING
L entered Bronx Science High School in February, 1940. This
high school selects its students on the basis of a competitive
examination. No classification on the basis of ability is made
after entrance to the school.
L's final grades for the first term, closing June, 1940, are:
English, 95; Social Studies, 99; Mathematics, 100; Science, 99;
Average, 98.25.
The judgment of his supervisors and teachers is shown by the
following quotations from comments about him, as of June, 1940. [2]
He is an excellent student. My only criticism of the boy is
that he is too mature. He should be more of a nuisance. As
I see it, our problem of adjustment here for L is to make him
more of a real boy. _Dr. M, Administrative Assistant_.
He is a wonderful boy, and that covers everything. _Mr. C.,
Social Studies_.
L is the best boy I have had in all of my teaching experience,
and I have taught in the New York City schools since 1913. He
is the only boy I ever gave 100 as a final mark.
He knows rules of trigonometry that he never has had in school.
_Mr. W, Mathematics_.
I first became acquainted with L when he walked into my office
last term and introduced himself. He said he was trying to make
up his mind between Science High School and Townsend Harris. He
had decided the most sensible way was for him to visit both
schools and then make his decision.
He is a most unusual youngster. We found he surpassed any
child in the class. I am going to discuss with his next term's
teacher what modifications can be made of the required work.
It won't be a matter of skipping anything. L needs to cover
all the subject matter taught. He can profit from experience
in manipulative situations in the laboratory. We may be able
to arrange additional laboratory periods which will give him
an opportunity to work out his own problems. His classmates
look upon L as something of a genius. _Mr. Z., Head of Science
Department_.
L feels that the school he chose is a good one and is well suited
to his purposes, because the teachers are very good, the school
teaches the subjects he wants to learn, and he is not hampered
by the excessive size of the school. By way of improvement he
suggests "More mathematics equipment and class formed according
to students' ratings, smartest ten, say, in first class, etc."
In addition to his work in this school, and to his earlier school
work, L has gone to Hebrew school about nine hours a week for
four years, and has just been graduated therefrom with first
honors. He reports many hobbies and outside interests--such as
making model airplanes, doing science experiments at home, reading,
using the microscope, collecting early American Money and stamps.
He does not do much outdoor playing--"Not because I do not want
to play outdoors but because I lack the time and the companions.
My favorite sport is swimming because it is both enjoyable and
good exercise. . . . I very seldom take part in any organized
athletic games except baseball for two reasons: first, I don't
like to be disciplined and, second, I do not like games where a
person's brawn is more important than a person's wit."
L and a friend have started a supply service in the high school,
buying at wholesale and selling to students at retail prices. For
this privilege, 20 per cent of the profits they turn into the
General Organization carfare fund for needy students.
L's chief criterion in choosing his outside activities is their
educational value. "By making model airplanes I can find out
more about scientific principles of flying. . . . Any experiments
in science I make may help me to advance my scientific knowledge.
. . . I am doing some experimenting in soilless gardening as a
scientific hobby. . . . I believe that stamps should have real
interest behind them and not money value alone. . . . I do not
play any musical instruments although I was drafted into the high
school glee club by the music teacher. I would rather work on
amateur radio if I had the money. I like music but I can't make
it." L wants to take stenography and typing in night school. "It
will come in handy in high school and when I get to college I may
be able to get a job with some professor."
LATER TESTS AND INVENTORIES
In connection with the inquiry into L's adjustments upon entering
high school, Dr. Pritchard has also given him several further
tests and inventories, the results of which are as follows.
On CAVD (Levels (M-Q) his score is now 427 points, which is in
the 7th decile of the Ph.D. Matriculants at Teachers College.
On the Strong Vocational Interest Blank L's A (high) interests
coincided with those of physicians, mathematics, chemists,
psychologists, and teachers of mathematics and physical science.
His C (low) interests were on "most occupations dealing with large
groups of people: personnel manager, social science high school
teacher, purchasing agent, accountant, sales manager, real estate
salesman, life insurance salesman, office worker, Y.M.C.A.
secretary." His first choice for an occupation is mathematics
teacher on the college level. He dislikes any occupation where
there is "little opportunity to discover new facts."
On the Bernreuter "Personality Inventory" the following
characteristics were indicated: Emotional adjustment better
than average, tends to be alone, rarely asks for sympathy or
encouragement, tends to ignore advice of others, seldom worries,
rarely substitutes daydreaming for action, tends to dominate in
face-to-face situations, to be wholesomely self-confident, well
adjusted to environment, solitary, independent, and non-social.
The following records were made on the Sones-Harry High School
Achievement Test:
Language and Literature, 83
The 99th-percentile score for students completing the
first-term high school English is 75. A score of 83 falls
at the 88th percentile on norms based on 943 graduates from
a large cosmopolitan city high school.
Mathematics, 64
The score at the 99th percentile for first-term mathematics
students is given as 36. A score of 64 exceeds the scores of
98 per cent of the 943 high school graduates cited above,
and 99 per cent of 1156 college entrants.
Natural Science, 61
The 99th-percentile score for students who have had one term
of high school science is 42. A score of 61 exceeds the
scores of 96 per cent of the high school graduates.
Social Studies, 64
The 99th-percentile score for students completing one term's
work in social science is 65. A score of 64 exceeds 90 per
cent of the scores of the high school graduates.
Total Score, 272 points
A total score of 272 points exceeds the score of 95 per cent
of the group of high school graduates from a cosmopolitan
city high school.
On his own initiative, L is investigating the possibilities of
scholarships with college work in mind. He says: "I spend between
two or three hours a night on homework. I don't need to do this,
but I am aiming for a scholarship and taking it very seriously."
[1] This chapter was written by H. L. H.
[2] This section is an abbreviation of an account courteously
provided by Dr. Miriam C. Pritchard, who made a follow-up study
of L's first-term adjustments in high school.
CHAPTER SIXTEEN
SUMMARIES OF HEREDITY AND EARLY BEHAVIOR
It is of course obvious that no very general conclusions can be
drawn from data relating to a dozen instances of exceptional mental
endowment such as those reported in this monograph. Such data may,
however, be added to information in process of accumulation from
similar studies, the whole providing a respectable basis for
judgment. The facts concerning the group of individuals presented
in this book are, therefore, summarized in the form of the
following brief review. [1]
FAMILY HISTORY AND BACKGROUND
The racial and national ancestry of the twelve children whose
records have been presented in preceding pages may be chiefly a
condition arising from the population in which they were found.
Comparison with results from other population areas may serve
to check certain implications suggested herein. All these cases
were found and studied in New York City and about half of them in
the public schools.
Among the ancestors whose origins are mentioned, in the endeavor
to go behind the simple statement of "American parents," the
nationalities are given as Jewish, 13; British, 9; German, 2;
French, 2. In most cases the ancestors are individually compound--
as Austrian-Jew, German-American, etc.
The activities of the more remote ancestors cover a wide range,
from farming and small-town storekeeping to the learned professions,
large business, and political activity. On the whole, the remote
ancestors appear to have been fairly successful people, with the
majority of them in the professions. No cases of mental deficiency
or total incompetence are recorded among them.
A few of these children were from families in economic distress.
These cases were largely instances in which the father was dead
or incapacitated and the mother was struggling to carry on with
slender resources. But on the whole, as in earlier cases cited
from the literature of gifted children, the socio-economic status
was moderate.
The father's occupations are in 10 of the 12 cases in the
professions. They may be classified as:
Engineer 1 Lawyer 1
Army officer 1 College teacher 2
Accountant 2 Electrician 1
Journalist 2 Jeweler 1
Insurance 1
The occupations of the mothers, either before or after marriage,
when stated, were:
Advertising 1 Teacher 2
Housewife 3 Secretary 2
Statistician 1 Dressmaker 1
Scientist (M.D.) 1
All but 2 of the fathers are known to be high school graduates;
5 went beyond this point in business or trade school; 4 are
college graduates.
As for the mothers, all but 2 are high school graduates, and 5 hold
college degrees.
Ages of parent at time of birth of child, when given, are as
follows:
_Father_ _Mother_
Below 25 2 1
From 25-30 3 4
30-35 2 2
35-40[+] 3 1
Median age of fathers, 31; of mothers, 28.5.
Of the 11 cases where the facts are known, 5 are only children;
4 have one sibling; 1 has 2 siblings and 1 has more than this.
In 5 cases where the child in question is not an only child, he
or she is the eldest sibling. That is, in 10 of the 12 cases the
child is a first-born, so far as the records show.
In a few cases the IQ of the sibling (or siblings) is known. Such
IQ's are invariably above 130, in most cases much higher but in
no case so high as the 180 that would have been required to admit
them to the group here considered. Otherwise, of course, they
would have been included in the study.
Of the 12 cases here described, 4 are girls. It has already
been noted that among the 19 cases cited from the literature
of gifted children there were 12 girls and 7 boys. The total
of 31 cases which this study now makes available comprises 16
girls and 15 boys--as equitable a division of the honors as an
odd number makes possible.
PHYSICAL AND BEHAVIORAL DEVELOPMENT
No single item indicative of early developmental pace in physique
and movement is given for all the 12 cases. For most of them
records are given on walking, talking, reading, first tooth,
height, and weight. Grip is recorded in 5 cases, weight at birth
in 3 only. These data are summarized in the following table. Since
height, weight, and grip were taken at varying ages on the different
children, all that is indicated in these columns is "above normal"
(##) or "below normal" (--).
AGE OF AGE OF AGE OF FIRST
CHILD WALKING TALKING READING TOOTH HEIGHT WEIGHT GRIP
(MONTHS) (MONTHS) (YEARS) (MONTHS)
A 11 3 ## ## ##
B 15 9 3 7 ## ## ##
C 15 16 3 9 -- --
D 12 11 1.5 4 ## --
E 13 24 8 ## Normal --
F 14 12 4.5 10
G ## ## --
H 14 16 4 9.5 ## --
I 10.5 21 3 5 ## ##
J
K 20 24 3 6 ## ##
L 15 9 4 9 ## ##
Median age of walking, for the cases recorded, is 14 months--a
wholly normal age for children in general. Median age of talking
is 14 months--considerably earlier than the norm usually recognized.
The range, too, is wide--from 9 to 24 months. First teeth normally
begin to appear in the sixth to seventh month, and the median here
is close to that. Median age of reading here reported--3 years--is
earlier even than that found in the 19 cases cited from previous
literature (3.5 to 4 years). All but one of the 10 cases for which
stature is reported exceed the norms in this respect. Six are
heavier than the age norm, 1 just at it, and 3 are lighter in
weight. The records of grip tests show nothing unusual. In 3 cases
where weight at birth was recorded, this was from 7 to 10 pounds.
Health is generally reported good.
Talking and reading are the two developmental indices that
most clearly differentiate these records from the norms. These
activities, both involving the use and understanding of symbols,
are the earliest clear expressions of mental liveliness. After they
have appeared, the gifted child's characteristics appear in those
traits called understanding, judgment, learning, discrimination,
and in the interest in and capacity for such linguistic and abstract
activities as are provided by schoolwork. It is, therefore, in the
earlier scholastic activities and in social relations that these
children most notably declare their quality under our prevailing
system of child management.
CHAPTER SEVENTEEN
SCHOLASTIC ACHIEVEMENT AND CREATIVE ACTIVITY
The following brief summaries of the achievement and adjustment
of these twelve children may serve to suggest a few general
principles that are applicable to other cases as well. [1]
SCHOLASTIC ACHIEVEMENT AND EDUCATIONAL ADJUSTMENT
_Child A_. This boy showed signs of precocity before his second
year, reciting, classifying, and playing with words and letters;
and before the age of 3 years showing interest in rhymes and
stories. From first school entrance suitable placement was a
recognized problem, and by the time A was 6 years old he was
brought to a college clinic for educational guidance.
Throughout elementary school A was a trying problem, lacking
interest in the routine program. He was behind his mental level
in handwork and was not motivated to do his best work; he fitted
poorly into social activities. Character traits were highly
approved, except perhaps for independence and obstinacy. He
resorted to imaginary lands, reading, and science and mathematics
as forms of play.
The case was not followed far enough to show his final educational
achievement, although it is known that he went through high school
and entered college.
_Child B_. This girl was occupied with words by the time of her
second year. Her ability was not early recognized by the schools
she attended, although she passed seventh-grade standards while
still in the fourth grade and her marks were always high. As she
had marked social interests and aptitudes, this educational
misplacement caused no serious trouble. When eventually "skipped,"
her size and poise kept her from being conspicuous, although the
youngest in the class. She was apparently a natural leader, and in
addition to the usual preoccupation with reading she had as an
outlet the groups and clubs she organized.
Since she was followed only to high school, her final educational
adjustment is not known.
_Child C_. This boy learned to read "almost as soon as he talked,"
and read fluently before beginning school. He was at once recognized
as "odd," but in spite of perfect work he was not advanced and his
ability was unappreciated by his teachers. At 9 years 6 months,
with a mental age of 18, he was still in the fifth grade. He was
very unhappy until the principal sought educational advice on his
case and he was admitted to a segregated experimental class for
rapid learners, where he quickly became adjusted and was an
enthusiastic scholar.
Personal traits made social adjustment faulty, but he persisted in
his educational career against heavy economic handicaps, finished
high school and college with honors, and completed the medical
training that admitted him to the profession that had been his
ambition since childhood.
_Child D_. This boy was reading before he was 2 years of age, and
was also interested in numbers and relationships. He made social
contacts even before entering school by publishing a playground
newspaper. As an exception to the prevailing rule, this boy's
ability was early appreciated by his parents and it was recognized
by his teachers as early as kindergarten.
His educationally interested parents supervised his instruction
and sought expert advice. Various side talents in which he was
versatile were also cultivated. Mathematical and scientific
interests appeared early and were encouraged. Progress through
school was facilitated and he entered college at 12 years 6 months
of age, graduating with honors at just over 16.
In the following twelve years he became a proficient and well-trained
industrial chemist, holding an important position in this field at
the time of his death at the age of 28.
_Child E_. This child's ability also was recognized by teachers
and parents at an early age, and this appreciation led to diligent
supervision of his subsequent education. When he began to talk
he was equally conversant with four languages. He was always
accelerated in school and his superior size made this procedure
feasible, at least in childhood. His whole bent was toward scholarly
pursuits, and much of his study was privately conducted.
E entered college at 12 years and his precocity was widely
exploited on the campus and in the press. His devotion to his
work and his good sense and humor preserved him from social
difficulties. He even impersonated himself in a class play.
His subsequent intellectual progress was phenomenal and he speedily
became a scholarly contributor and an influential and active leader
in the field of his boyhood choice.
_Child F_. This boy was an educational problem even in his first
years in an ungraded school. Afterward teachers refused to place
him in grades high enough to keep him occupied. A benign form
of truancy that led him to the public library and to chess
tournaments was his way out of his predicament. But in the
process he developed an aversion to educational processes and
to authorities of all kinds.
He was appreciated neither by his parents nor by his teachers
until he was discovered in a survey that sought for just such
minds for an experimental project in the education of the gifted.
Traits other than intellectual made his subsequent educational
history take the form of spurts, with intervening debacles. He
died before the outcome of this group of circumstances could
materialize.
_Child G_. This is a third case of early recognition by teachers
and of guidance by parents, which led in childhood to an educational
clinic for advice. Early interests in reading were fostered and
directed, and more extrovert and social activities were devised
by his parents.
G was rapidly promoted, and after entering an individual progress
class he was a contented scholar. In spite of the facilitation of
his progress through the grades he was not through high school
until 15, and there is every evidence of satisfactory personal
and social adjustment. The case record ends with his admission
to college, on a scholarship, with definite and clearly defined
aims and interests.
_Child H_. This girl's interest in words, stories, and relationships
was noticed before her third year, and early recognition of her
gifts appears to have come through an aunt who had special
educational insight. Although H resorted to imaginary companions,
she was socially minded enough to enjoy playmates.
Since the record terminates with her tenth year, there are no
data on her later educational career. But her story thus far
appears placid and marked by good adjustment and intelligent
guidance.
_Child I_. This case had the advantage of a parent who also had
been studied by educational experts interested in the gifted. Also
her parents were themselves teachers. As early as 2 years she had
been identified as exceptional and her subsequent career appears
to have been guided throughout with wisdom.
I's discontent with aimless activity in the first two school grades
was solved by placing her in the special experimental class
for rapid learners. Her excellent progress and adaptation here
constitute a clear demonstration of the advantages of early
identification and intelligent educational placement.
_Child J_. This child's ability was recognized by her teachers
from the beginning. She was accorded very rapid advancement, which
was probably the only solution available under the circumstances.
The parents, themselves educators, also contributed intelligent
care and guidance in her development.
This favorable conjunction led to her prompt admission to an
experimental group for children of her quality as soon as the
regular teachers realized their inability to provide further
stimulation for her. The definite service provided in this case
by the Bureau of Educational Guidance is also an instructive part
of the picture.
_Child K_. This boy's history is meagerly recorded. His picture
is the usual one of early reading and native interest in learning.
By his seventh year he had been appreciated by relatives who
sought expert advice and guidance in his education. Such advice
was then sought from time to time by his parents, and the brief
record shows no untoward developments in his subsequent education
up to the end of high school.
_Child L_. Achievement was so conspicuous in this case that
as soon as L entered school he was given rapid promotion. His
recommendation to the special class for rapid learners was due
to the joint action of his parents and the school principal.
Once in this group, L's educational problems vanished. Expert
guidance also attended his entrance to high school. As a result of
these circumstances his further career appears to be propitiously
launched.
The observations that seem most obviously to emerge from these
brief summaries of educational history are as follows:
1. Such children as are here presented constitute difficult
educational problems from their entrance in school. The problems
are not only those of the teachers and educational authorities, but
they are chiefly, perhaps, the problems of the children themselves.
2. Depending on the solution of these problems, such children may
either be well articulated to the work of school and society and
thus their remarkable talents be socially capitalized, or they may,
on the other hand, develop distaste for such activities, negativism
toward social projects, and personal obstinacy and recalcitrance,
perhaps accompanied by bitterness.
3. The advantages of early recognition, appreciation and, if
possible, measurement are apparent in the study of this small group
of exceptionally intelligent children. Although all were identified
fairly early in their lives, there are very different degrees
of adaptation to school and society, ranging from opposition
and truancy, through indifference, to rapt and enthusiastic
preoccupation. To a considerable extent these variations appear
to have depended on the earliness of identification of the child's
intellectual quality. The valuable services of surveys, guidance
clinics, and school psychologists are clearly manifested in this
group of cases.
4. The cases that have achieved most contented and socially useful
adaptation are those in which parents, teachers, and principals
have made prompt use of special gift identification, have sought
educational guidance, have personally fostered and supervised the
child's development and the solution of his adjustment problems, or
have taken advantage of such experimental classes for exceptional
children as the schools have offered at the time.
5. Among the cases herein reported the clearest ones of easy
and useful adjustment occurred when the exceptional child became
a member of an experimental group comprised of others of his
approximate kind. In the dozen cases cited, four different projects
of this kind in the New York City schools have been referred to.
CREATIVE WORK
Is it true that children such as those herein described differ from
those of less intelligence merely in having a readier and more
tenacious memory? Are their distinctive achievements only the
phenomenal reproduction of things they have learned--the recitation
of answers they have been taught? Or do they also exhibit signs
of originality and creativeness? Of their superior capacity
for learning there is of course ample evidence. Is it this
feature of their endowment that accounts for their high scores in
conventionally standardized measures such as tests and examinations?
Ordinary records and histories are perhaps not well suited to
disclose originality in childhood unless it is obtrusive. The child
who devises a new way of tying his shoes, of arranging his books,
of managing his pets, of sharpening his skates, may very easily
get no clinical credit for these inventions. No one, indeed, except
the child himself may ever know of them, and it may never occur to
him that they are "creative." A boy who writes a poem, draws a
steamboat, or devises a new game of checkers may immediately get
credit for originality, while one who invents a technique of his
own for shaving the back of his own neck may remain unheralded as
a creator.
Our concept of "creativeness" has become standardized so as to
suggest chiefly contributions to the conventional arts. It may
nevertheless be instructive to review these case histories, looking
in each for signs of activity that might in one way or another
be construed as creative.
_Child A_. At 12 months he was classifying his blocks according
to letter shapes. Before 16 months of age A tired of saying the
letters of the alphabet forward and "guessed he would say them
backward." He "made rhymes" of his own by the third year. He
developed arithmetical principles unsuspected by either parents
or teachers. He had an elaborate "imaginary land." He did not
play well with other children because he always wanted to introduce
new methods of playing the games. He devised elaborate schemes
of his own for classifying events and objects. There is very
little of the conventional interest in drawing, painting, poetry,
mechanics, or music in this account, but it is clear enough that
in his own way A had originality.
_Child B_. This child's early acquisition of the art of reading
appears to have been untutored, and her passion for organizing
clubs showed at least a certain type of initiative. But the record
gives little evidence of other creative activity. Her chief
distinction so far as noted was in the fields of excellent
schoolwork and social adaptability.
_Child C_. This boy's earliest recognition was on the basis
of what the teachers called his "phenomenal memory." But from
early years his chief passion was for science, and his main
interest therein was the possibility of discovering new things.
There is, however, little evidence of ingenuity in the record,
and C was chiefly distinguished by the mass and facility of his
knowledge, learned chiefly from others.
_Child D_. The very curiosity of this boy might be said to have a
creative or original character. "He was always asking unexpected
questions." His playground newspaper was an original project in
spite of its conventional character. So also was his passion for
tabulation and calculation. His imaginary land was a complicated
creation, as was the elaborate dictionary of its unique language.
Musical composition was one of his pastimes, and he had active
native talent for drawing and design. The invention of new words
and new games was creative, and he had original classifications
for many varieties of natural objects. His interest in science,
which became uppermost, led to original experiments such as those
on "the path of a tack." His final adoption of scientific work as
a career is in keeping with this, and the position held at the end
of his brief life was one concerned with chemical research in a
relatively new industry. In a very real sense this boy's creative
interests are fundamental in the picture of his development.
_Child E_. Originality appears among E's characteristics even
in his definitions of words in the vocabulary tests. His life
was, however, so harnessed to the organized pursuit of degrees
that conventional fields of learning came to preoccupy him and
there was little originality in his choice of an occupation,
to which he appears to have been guided by solicitous elders.
Such originality as he has had appeared abstractly and verbally.
Thus his "constructive ability" was good but his "manual dexterity"
poor. He had an imaginary country. After his escape from the
hierarchy of organized education he became an active and productive
scholar in his field, although it may be that theology is not
a field in which creativeness is encouraged.
_Child F_. There is little evidence in the career of F of anything
that could be called creative. He was in many ways ingenious, and
he was socially nonconforming. He was a storehouse of information
but not sagacious in the use of his knowledge. His ingenuity was
not along original lines but in such conventionalized fields
as chess, bridge, and dialectic. His capacity for intellectual
work was phenomenal, but for the most part such activities were
in prescribed fields, and a temporary interest in science was
deflected to law--like theology, a field in which creativeness
is not always an asset.
_Child G_. This boy's education was so scrupulously supervised
and so sedulously recorded that he had little time for original
projects. His questions and remarks evince a lively curiosity,
and his abiding interests in chemistry and mathematics, with a
research turn, perhaps point to creative trends that are poorly
reflected in more elementary years. There is little evidence of
unusual proficiency in any of the creative arts.
_Child H_. The chief interests of H as a child were in "drawing,
painting, and mosaic blocks." She developed imaginary companions.
She showed at an early age pronounced interests and aptitudes
in stories and in versification. She was a composer of creditable
childhood songs, poetry, and plays. She was followed only to her
eleventh year and up to this point seems to have shown definite
signs of constructive imagination.
_Child I_. This girl was versatile in many creative ways. She
developed imaginary companions, wrote music and songs, produced
dramatizations, wrote effective verses and longer poems. So far
as the brief record shows, her creative interests remained close
to the conventionalized arts, except for the native curiosity
characteristic of most very bright children.
_Child J_. The data on J are so scant that little assurance as
to her originality can be felt. At 7 she was in many ways an
independent thinker. She composed "jingles" at the same time that
she was reading Shakespearean plays, and the examiner commented
on her "constructive imagery." She wrote acceptable poems before
her tenth birthday. But for the most part she had been so occupied
by rapid educational promotion that this is the most conspicuous
feature in her description.
_Child K_. This boy has without doubt an enthusiasm for scholarly
inquiry. He made no spontaneous collections, had no pets, no
imaginary companions or lands. In a sense these traits which are
lacking in K's personality are usually counted as originalities
in children of such high intelligence. But data are not at hand
to enable a judgment to be made of the presence or absence of
creativeness in this child.
_Child L_. This is the case of a boy who showed such independent
zeal for acquiring information that this curiosity had itself a
creative tone. He is inventive and constructive even in mechanical
ways--an exception in this particular group of cases. His teachers
find him possessed of knowledge in mathematics which he must have
derived from his own reflection. He also has marked initiative in
using his knowledge, is full of constructive suggestions, makes
many scientific experiments of his own, has many hobbies, and wants
to do things to "advance scientific knowledge." Although he shows
know unusual proficiency in the conventional arts, there can be
no doubt that in affairs intellectual and scientific his mind
is not only creative but also fertile.
GENERAL STATEMENT
If a general statement be attempted on the basis of such data as
the descriptions and these summaries afford, it might be to the
effect that one third of these highly intelligent children
(A, D, H, L) show notable signs of creativeness. Another third
(C, E, I, J) show such indications to a moderate degree. In the
remaining third (B, F, G, K) there is at least no indication of
marked constructive originality provided by these descriptions.
Certainly these creative dispositions are more conspicuous in these
cases than in the general population of children. How these very
rare intelligences compare in this respect with those ranging from,
say, 130 to 175 IQ we cannot know. Creativeness even at best is
infrequent enough. In experiences of daily life of course such
creativeness might be more often found in children in the middle
range of high intelligences because there are so many more of these
in the population.
On the other hand, it may be that creativeness in marked degree
appears in these higher ranges only. Under any circumstances it is
not an all-or-none phenomenon, and the problem of the correlation
of originality with intelligence scores perhaps deserves more
careful study than it has received. It seems suggested at least by
these few cases that very high intelligence may in some instances
become directed along wholly conventional channels, showing
itself in the amount of work or the rate of progress, with little
or no manifestation of creative originality. If this is the
case, it should be important to discover what extent this is a
reflection of the regimentation of the occupation of such children
by organized educational projects and close parental supervision,
and to what extent it is a characteristic that is native in the
individual. If it should be true that creativeness is closely
dependent on such a high range of intelligence as that shown
by this group of twelve children, a social order that esteems
creativeness should give serious thought to the conditions of
its cultivation and its development.
In this connection it is of some significance that so far as
these cases are concerned, the best adjustments appear to have
been made in educational arrangements that required the devotion
of only one part of the child's time to established curricula,
thus leaving time and providing encouragement for individual
initiative and enrichment.
[1] This chapter was written by H. L. H.
PART III
GENERAL PRINCIPLES AND IMPLICATIONS
CHAPTER EIGHTEEN
ADULT STATUS AND PERSONALITY RATINGS
Observation of such cases as those described in the foregoing
chapters suggests that children of exceptionally high intelligence
do not regress toward mediocrity as they mature but maintain
their initial distinguished status. Studies by other workers
(Kuhlmann, Baldwin and Stechner, Terman) confirm such a conclusion.
A further study of this point was reported by Hollingworth and
Lorge in 1936, in which the following questions were investigated:
1. To what extent is status in IER Intelligence Scale CAVD at
maturity predictable from childhood scores in Stanford-Binet?
2. How do those who tested above 180 IQ in childhood differ
at maturity from those at lower levels in measures of general
culture and of scientific information?
3. Is there discernable any consistent specialization in mental
abilities from childhood to maturity?
4. At what degree of intelligence in terms of IQ (Stanford-Binet)
is the word "genius" justifiable, if at all?
5. At what point on the scale of IQ (Stanford-Binet) obtained
in childhood will individuals later prove "unmeasurable" by
available tests of adult intelligence?
In 1934-1935 a group of eighteen persons whose high IQ's had
been measured tweleve or thirteen years earlier (at ages 7 to
9 years) were measured in these respects and to these were added
three others whose childhood IQ's were known to have been over 170.
The tests used, to be reported here, were: CAVD Intelligence Scale,
Levels N-Q; the Coöperative General Culture Test (Form 1933 or
1934); and the Coöperative General Science Test (Form 1933).
There were also available data on most of the individuals from
Army Alpha tests taken at ages 16 to 19. Of the 21 cases thus
studied, nine had a childhood IQ over 170; eight over 150 [to 170];
the remaining four ranged down to 133.
ADULT STATUS OF HIGHLY INTELLIGENT CHILDREN [1]
The detailed data have been reported elsewhere and only the general
results need to be recited here.
"For these gifted individuals (albeit there are so few studied)
superior status on the Stanford-Binet at or near ages 7 to 9 years
of age is highly predictive of status on Army Alpha at or near 16
to 19 years of age, and of status on CAVD at or near maturity. . . .
"It is clear that CAVD is more closely associated with General
Culture than with General Science. . . . There obviously is
a specificity of success for Science as compared with general
Culture. . . .
"The results for the CAVD as interpreted through norms obtained
on selected populations show that highly intelligent children
(of IQ 140 or above) fall within the upper quartile of the college
graduate population of the United States, when they are at or
near maturity."
Such results are confirmed also by a study reported two years
earlier, in which over 100 children had been re-measured with
Army Alpha 10 to 12 years after their initial Stanford-Binet
measurements at ages 7 to 9 years. [2] All these children had
IQ's over 130, and half of them were over 150, ranging up to
190. From this study the following conclusions had been drawn:
"Of 116 children testing in the top centile of the distribution
of school children by Stanford-Binet, 82 per cent were found
when near maturity, ten years later, to rate in the top centile
of the military draft by Army Alpha. The remainder rated in high
centiles. No individual of either sex regressed to or nearly
to the average. . . . Girls regressed from the top centile somewhat
more frequently than boys, this regression being in part but not
fully accounted for by the known sex difference between medians
on Army Alpha.
"This result affords a validation, by means of elapsed time,
of the predictive power of available mental tests on the one
hand; and on the other, a proof of the constancy of the intellectual
development of gifted children in terms of centile status."
CRITIQUE OF THE CONCEPT OF "GENIUS" AS APPLIED IN TERMS OF IQ
The term "genius" has been used by Terman--and following him
by many others--to denote children testing at or above 140 IQ
(S-B). In the light of the developmental data herein presented, it
would appear that the term "genius" is thus misapplied, unless we
wish to define as "geniuses" persons who represent approximately the
best fourth of all students being graduated from American colleges.
Of individuals here followed to early maturity, those who test
at about 140 IQ (S-B) are found to define approximately the 75th
percentile of college graduates, taking the country over. They
are far from "genius," if by that term is to be meant the degree
of mental ability that is capable of outstanding original
intellectual achievement. It is only when we have an IQ (S-B) of at
least 160 in a child, that we may begin to expect mildly noteworthy
accomplishments, such as winning "honors" in a first-class college.
Very rarely are "honors" won in first-class colleges by those who
test below this status in childhood. The small sample of college
graduates here presented is truly representative of the much larger
sample in our files (not tested by our end tests) in this respect.
Of primary interest to the present investigators is the subsequent
history of those who in childhood have achieved the extremely
infrequent rating of 180 IQ or higher. At maturity will these
persons still stand out from their contemporaries in mental tests
and in achievement?
This question is answered affirmatively by our data. The five
children here included, [3] who achieved IQ's (S-B) on _first_
test in childhood of more than 180, are they who "find the tops"
on CAVD at maturity. Every one of these top-rank persons is
noteworthy among contemporaries. Before the age of 22 in all cases,
one had prosecuted research in history, one in mathematics, one in
chess, and two had become established in learned professions. One
stood high in the national ranking for chess. A long list of medals
and prizes had been won by them. All but one of those graduated
from college had been elected to Phi Beta Kappa.
These unusual achievements show how children testing above 180 IQ
rise above the generality of the college populations in adolescence
and in early maturity. None of those who tested in childhood around
140, 150, or 160 IQ (S-B) approaches these others at maturity in
honors and prizes won, or in test scores.
This is, perhaps, the most significant fact to be derived from
our data: that the children who test at and above 180 IQ constitute
the "top" among college graduates. They are the students of whom one
may confidently predict that they will win honors and prizes for
intellectual work.
Furthermore, it is shown that at approximately 190 IQ (S-B)
individuals "go through the ceiling" of available tests for adult
intelligence by the time they are 21 years old. We cannot at
present distribute these persons at maturity.
Perhaps this is the point at which the term "genius" begins to
apply--i.e., at or near IQ 180 (S-B)--if we adhere to the dictionary
definition of the word, "Exalted intellectual power, marked by an
extraordinary faculty for original creation, expression, or
achievement" which is beyond the reach of available modes of
measurement in its maturity.
APPLICATION OF BERNREUTER INVENTORY OF PERSONALITY TO HIGHLY
INTELLIGENT ADOLESCENTS [4]
The data of the present study were obtained early in 1933, the
subjects being 36 boys and 19 girls, of the average age of 18 years
6 months. The IQ's (S-B) of all had been taken in early childhood.
The group ranged from 135-190 IQ (S-B) with a median at about
153 IQ (S-B). All but four of these young persons were Jewish,
a factor which must be considered as of possible consequence,
but which cannot be evaluated properly from any data at present
in scientific literature.
The inventories were taken and scored by the investigators in
person. All subjects had been personally known since childhood
to the senior investigator.
The method of scoring follows Bernreuter, three categories only
being found of sufficient independence to warrant recording.
SHOWS GROUP RESULTS FOR HIGHLY INTELLIGENT BOYS AND GIRLS, GIVING EVIDENCE THAT SUCH GROUPS ARE MUCH LESS
NEUROTIC, MUCH MORE SELF-SUFFICIENT, AND MUCH LESS SUBMISSIVE IN ATTITUDE THAN COLLEGE STUDENTS OR
ADULTS IN GENERAL ARE, ACCORDING TO THE CATEGORIES AND NORMS SET UP BY BERNREUTER
B1-_N_ NEUROTIC TENDENCY B1-_S_ SELF-SUFFICIENCY B1-_D_ DOMINANCE-SUBMISSION
Statistical Highly College Adult Highly College Adult Highly College Adult
categories intelligent norm norm intelligent norm norm intelligent norm norm
boys group group boys group group boys group group
Number 36 427 86 36 427 99 36 427 100
Mean -104.9 -52.9 -69.3 54.5 24.9 38.8 87.4 46.3 52.7
σ 56.7 85.2 76.3 42.3 54.0 52.4 44.6 67.4 61.8
σ Mean 9.4 4.1 8.2 7.0 2.6 5.3 7.4 3.3 6.2
σσ 6.7 2.9 5.8 5.0 1.8 3.7 5.2 2.3 4.4
σ diff. ms. 10.2 12.5 7.5 8.8 8.1 9.6
D
------
σ diff. 5.1 2.8 3.9 2.1 5.1 3.6
Median -112.0 -70.0 -75.0 54.5 25.0 35.0 98.1 45.0 55.0
Girls Girls Girls
Number 19 317 123 19 317 126 19 317 130
Mean -45.0 -39.6 -34.2 52.0 6.9 16.8 46.5 33.1 19.2
σ 65.7 78.9 80.6 51.7 55.7 55.6 55.5 63.5 65.5
σ Mean 15.1 4.4 7.3 11.9 3.1 5.0 12.7 3.6 5.7
σσ 10.7 3.1 5.1 8.4 2.2 3.5 9.0 2.5 4.1
σ diff. ms. 15.7 16.8 12.3 12.9 13.2 13.9
D
------
σ diff. .04 .64 3.7 2.7 1.0 1.96
Median -42.6 -40.0 -30.0 52.0 5.0 0.0 40.7 33.0 15.0
The summary of results shows that the highly intelligent are less
neurotic, more self-sufficient, and less submissive, as a group,
than are the populations with which they are comparable. This
divergence from the norms is found both for boys and for girls
of the highly intelligent group, but it is much more pronounced
for boys.
To one who has been familiar with the characteristics and the
careers of these persons for fifteen years, the correspondence
between what is found on the inventory and what is found in the
actual lives is interestingly close. Boy 13, for instance (extremely
high score for self-sufficiency and dominance), took ship on his
own initiative as soon as he was twenty-one years old and sailed
around the world as an ordinary seaman, returning to his post
in the financial district of New York City when the journey was
completed. Boy 35 is a well-known player in metropolitan and
sectional chess tournaments, and was able to meet seasoned players
when he was fifteen to seventeen years old (high scores for
self-sufficiency and dominance). Boy 29 entered college at 14
years of age, "held his own" with the older students, earned
money throughout his course, graduated at eighteen years of age
with Phi Beta Kappa, and won a prize for research, in competition,
in his junior year at medical school. Girl H won and held an
appointment in public service, against heavy odds of sex, age,
and general economic depression.
The indication from these data is that adolescents who as children
tested from 135-190 IQ (S-B) are _much less neurotic_, _much more
self-sufficient_ and _much less submissive_ than college students
in general, or than adults of the mental caliber represented in
the Bernreuter norms. It is to be noted in this comparison with
the generality of college students that from data so far collected,
the median intelligence of the group here presented reaches about
Q#3# for college students, taking them the country over.
[1] For a more detailed account see Lorge and Hollingworth's
"The Adult Status of Highly Intelligent Children," in _Journal
of Genetic Psychology_ (1936), Vol. 49, pages 215-226.
[2] Hollingworth and Kaunitz. "The Centile Status of Gifted
Children at Maturity." _Journal of Genetic Psychology_ (September,
1934), pages 106-120.
[3] Study made by Leta S. Hollingworth in previous years.
[4] For detailed results see the paper by this title, by Hollingworth
and Rust, _Journal of Psychology_ (1937), Vol. 4, pages 287-293.
CHAPTER NINETEEN
THE DEVELOPMENT OF PERSONALITY IN HIGHLY INTELLIGENT CHILDREN [1]
The children included in the term "highly intelligent children"
cover a very wide range in intellectual variation--from an IQ of
130 (S-B) to the topmost limit of human diversity. This topmost
limit seems to define itself at approximately 200 IQ. The most
extreme deviates reported in the literature as fully measured
fall at or near this point. A considerable number falling above
180 IQ have been reported, many of them not fully measured by
Stanford-Binet because of the limitations of the test. It is
therefore clear that children in the upper 1 per cent are not all
alike. On the contrary, the child at the top of this group exceeds
the child who barely reaches the group by much more than the
latter exceeds the average child. The most able child in the
upper 1 per cent surpasses the least able in this group by as
much as the average child surpasses a moron (in terms of IQ).
The really difficult problems of adjustment to life and to people
come to those who test above 170 IQ. As there are so very few of
these children, parents and teachers are seldom called upon to
consider their needs. Thus when one does appear, he or she is the
more likely to be misunderstood.
GENERAL CONSIDERATIONS
Obviously, it is not possible to discuss every aspect of personality
in the limited number of pages of this book. We shall confine
ourselves, therefore, to a few of the more important phases of
development which are unique in the case of gifted children;
particularly to such complexities as arise from the combination
of immaturity and deviation, these continuing for approximately
twenty-one years. This is the period when development is taking
place as distinguished from the period of maturity.
It should be stated emphatically at the outset that children
of very superior intelligence are not, as a group, socially
annoying. The problems of personality adjustment are those
of the child, not those of society as ordinarily understood.
If the gifted child should annoy society, society would pay
more attention to him. Society builds splendid institutions
and provides expert care and guidance for vicious and feeble-minded
children. That society does not pay such attention to the gifted
is in itself evidence of social acceptability. The researches
of Terman, [2] of Hartshorne and May, [3] and of Haggerty, [4]
among others, have shown that highly intelligent children are
more stable emotionally than are children in general, are much
more resistant to childish temptations, and exhibit far less of
undesirable behavior than is exhibited by the dull. Teachers do,
however, report them for "restlessness" and "lack of interest"
somewhat more often than they report children of 100 IQ for
these behaviorisms. The researches of Burt [5] and of Healy and
Bronner [6] show few children testing above 130 IQ among delinquents,
in proportion to their frequency in the population as a whole.
With these facts as to generally superior adjustment before
us, let us inquire whether there are, nevertheless, special
perplexities in the life of a gifted child, and at what point in
the range of intellect these perplexities begin. Is it possible
that a child who varies as far _above_ his contemporaries as an
imbecile or an idiot varies _below_ them, will find only advantages
and no special difficulties of development created for him by the
fact of his wide deviation from the norm?
Observation and measurement of gifted children as they have grown
from early childhood to maturity have made it possible to formulate
definitely some of the special problems of development which arise
from being an extreme and infrequently occurring deviate. The more
intelligent the child, the more likely he or she is to become
involved in these puzzling difficulties. Let us consider some of
these problems.
THE PART PLAYED BY PHYSIQUE
The "looks" of a person has much to do with his social adjustment.
If highly intelligent children really resembled the cartoonist's
idea of them, there would be little chance of excellent development.
Fortunately, the researches of the past twenty years have proved
that the popular notions about the poor physiques of the gifted and
the weird ugliness of their physiognomies are not only erroneous
but the exact opposite of the truth. These are superstitions,
founded perhaps on the unconscious longing for "a just nature"
which will distribute gifts somewhat equally instead of bestowing
everything upon a few persons.
It has been amply proved, by measurements, that highly intelligent
children are tall, heavy, strong, healthy, and fine looking as a
group, exceeding the generality of children in all these respects.
This does not mean that every individual among the gifted is
physically superior, but it does mean that a gifted child is
more likely to have a fine body than is a child taken from the
general population.
As for beauty of face, in two separate series of photographs
in which the faces of highly intelligent adolescents were compared
with the faces of adolescents of ordinary mentality, the faces
of the former were found to be more beautiful. This was the
impression made upon "naïve" judges who knew nothing concerning
the comparative intelligence of those judged. It may be that
one reason why teachers often do not identify gifted children
accurately, is that they are looking for pupils who correspond to
the cartoonist's picture, and thus are led away from consideration
of the beautiful and the well grown!
As gifted children approach and reach maturity, they reap the
benefits of superior vitality, size, and beauty. However, many
of them suffer, while growing up, from feelings of inferiority
connected with size and strength, for typically they are somewhat
accelerated in school status and they naturally choose children
older than themselves as chums. Thus in physical competitions
they are at a disadvantage. Observation shows that they tend
to develop sedentary forms of play, or forms of physical enjoyment
that do not depend upon being included in a group; such as
swimming, skating, horseback riding, and walking.
PROBLEM OF LEADERSHIP
Also, in all matters pertaining to leadership, the competition
with older classmates and friends exerts an influence, particularly
during adolescence. The very young boy (or girl) in high school
is not so likely to be elected to a post of leadership because
of his comparative size, his voice, and the juvenility of his
clothes. Thus a feeling may be engendered in him that he cannot
gain the confidence of contemporaries; and this, in turn, may
impair his self-confidence.
If long continued, this state of affairs may lead to emotional
straining after social recognition. In social gatherings, size and
physical maturity are important as _absolute_ quantities and
qualities, and not in relation to age. Thus a child should not
be placed too far out of his age-group. A very gifted boy, reaching
at twenty years a stature of five feet nine inches, remarked, "It
is very odd to be as large as the people you're with!" Being
always the smallest member of a social group may develop attitudes
which are hard to revise when eventually the boy or girl achieves
adult stature and is "as large as the people you're with."
This difficulty in assuming a normal place among more mature
schoolmates arises especially in adolescence, when association
with members of the opposite sex makes its introduction. Being
in high school or in college with much older classmates, the boy
of thirteen to sixteen finds himself at a disadvantage with the
girls whom he meets. The girls brought to parties by the older
boys are "too old" for him, and he feels unable to claim their
attention. Many of these young boys show sufficient insight and
sufficient management of their disadvantage to take care of it.
They know that the trouble lies in being "too young," and that
later they will achieve standing with the girls. In a few cases,
however, this difficulty may lead to an unfortunate avoidance of
girls, even in more mature years. In the case of girls, adjustment
to the society of older boys in high school and college seems
to present no special difficulties, since girls develop earlier
than boys do, and are taken seriously by boys who are older
than themselves.
The "inferiority complexes" of gifted persons have been little
studied, but it is certain that many such persons do feel socially
inferior and shy. Some of this may be due to the physical
comparisons just suggested, arising from prolonged association
with older persons.
PROBLEMS OF ADJUSTMENT TO OCCUPATION
Where the gifted child drifts in the school unrecognized, working
chronically far below his capacity (even though young for his
grade), he receives daily practice in habits of idleness and
daydreaming. His abilities never receive the stimulus of genuine
challenge, and the situation tends to form in him the expectation
of an effortless existence. Children with IQ's up to 150 get along
in the ordinary course of school life quite well, achieving
excellent marks without serious effort. But children above this
mental status become almost intolerably bored with school work
if kept in lockstep with unselected pupils of their own age.
Children who rise above 170 IQ are liable to regard school with
indifference or with positive dislike, for they find nothing in the
work to absorb their interest. This condition of affairs, coupled
with the supervision of unseeing and unsympathetic teachers, has
sometimes led even to truancy on the part of gifted children.
On the other hand, if a very gifted child is placed in the
regular grades as far ahead of his age as his learning capacity
warrants, the evils of social dislocation may result, as previously
described. Experimental education is at present trying to solve
the problem of how to secure right habits of work for the highly
intelligent child, and some progress has been made in recent years.
Another problem of development with reference to occupation
grows out of the versatility of these children. So far from
being one-sided in ability and interest, they are typically
capable of so many different kinds of success that they may
have difficulty in confining themselves to a reasonable number
of enterprises. Some of them are lost to usefulness through
spreading their available time and energy over such a wide array
of projects that nothing can be finished or done perfectly. After
all, time and space are as limited for the gifted as for others,
and the life-span is probably not much longer for them than for
others. A choice must be made among the numerous possibilities,
since modern life calls for specialization.
The dangers in development with respect to work habits are,
therefore, that the child may not develop any habits of sustained
effort, and that he may fail of success as a worker through being
interested in too many things ever to accomplish very much at
any one of them. His problem as he goes into adolescence is
to make a definite choice, and to form the habit of effort.
LEARNING TO "SUFFER FOOLS GLADLY"
A lesson which many gifted persons never learn as long as they
live is that human beings in general are inherently very different
from themselves in thought, in action, in general intention, and
in interests. Many a reformer has died at the hands of a mob which
he was trying to improve in the belief that other human beings
can and should enjoy what he enjoys. This is one of the most
painful and difficult lessons that each gifted child must learn,
if personal development is to proceed successfully. It is more
necessary that this be learned than that any school subject be
mastered. Failure to learn how to tolerate in a reasonable fashion
the foolishness of others leads to bitterness, disillusionment,
and misanthropy.
This point may be illustrated by the behavior of a seven-year-old
boy with an IQ of 178. He was not sent to school until the age
of seven because of his advanced interest in reading. At seven,
however, the compulsory attendance law took effect and the
child was placed in the third grade at school. After about four
weeks of attendance, he came home from school weeping bitterly.
"Oh Grandmother, Grand-mother," he cried, "they don't know what's
_good_! They just _won't_ read!"
The fact came to light that he had taken book after book to
school--all his favorites from his grandfather's library--and
had tried to show the other third-grade pupils what treasures
these were, but the boys and girls only resisted his efforts,
made fun of him, threw the treasures on the floor, and finally
pulled his hair.
Such struggles as these, if they continue without directing
the child's insight, may lead to complete alienation from his
contemporaries in childhood, and to misanthropy in adolescence
and adulthood. Particularly deplorable are the struggles of these
children against dull or otherwise unworthy adults in authority.
The very gifted child or adolescent, perceiving the illogical
conduct of those in charge of his affairs, may turn rebellious
against all authority and fall into a condition of negative
suggestibility--a most unfortunate trend of personality, since
the person is then unable to take a coöperative attitude toward
authority.
A person who is highly suggestible in a negative direction is as
much in bondage to others around him as is the person who is
positively suggestible. The social value of the person is seriously
impaired in either case. The gifted are not likely to fall victims
to positive suggestion but many of them develop negativism to
a conspicuous degree.
The highly intelligent child will be intellectually capable
of self-determination, and his greatest value to society can be
realized only if he is truly self-possessed and detached from
the influences of both positive and negative suggestion. The
more intelligent the child, the truer this statement is. It is
especially unfortunate, therefore, that so many gifted children
have in authority over them persons of no special fitness for
the task, who cannot gain or keep the respect of these good
thinkers. Such unworthy guardians arouse, by the process of
"redintegration," contempt for authority wherever it is found,
and the inability to yield gracefully to command.
Thus some gifted persons, mishandled in youth, become contentious,
aggressive, and stubborn to an extent which renders them difficult
and disagreeable in all human relationships involving subordination.
Since subordination must precede posts of command in the ordinary
course of life, this is an unfortunate trend of personality.
Cynicism and negativism are likely to interfere seriously with
a life career. Happily, gifted children are typically endowed
with a keen sense of humor, and are apparently able to mature
beyond cynicism eventually in a majority of cases.
THE TENDENCY TO BECOME ISOLATED
Yoder [7] noticed, in studying the boyhood of great men, that
although play interests were keen among them, the play was often
of a solitary kind. The same is true of children who "test high."
The majority of children testing above 160 IQ play little with
other children unless special conditions are provided, such as
those found in a special class. The difficulties are too great,
in the ordinary course of events, in finding playmates who are
appropriate in size and congenial in mentality. This fact was
noted some years ago by the present writer. Terman [8] in 1930
made a special study of the play of those in his group of children
who tested above 170 IQ and found them generally more solitary in
work and play than children clustering around 140 IQ.
These superior children are not unfriendly or ungregarious by
nature. Typically they strive to play with others but their efforts
are defeated by the difficulties of the case. These difficulties are
illustrated in the efforts of the seven-year-old boy already
mentioned. Other children do not share their interests, their
vocabulary, or their desire to organize activities. They try to
reform their contemporaries but finally give up the struggle
and play alone, since older children regard them as "babies"
and adults seldom play during the hours when children are awake.
As a result, forms of solitary play develop, and these, becoming
fixed as habits, may explain the fact that many highly intellectual
adults are shy, ungregarious, and unmindful of human relationships,
or are even misanthropic and uncomfortable in ordinary social
intercourse.
This difficulty of the gifted child in forming friendships is
largely a result of the infrequency of persons who are like-minded.
The more intelligent a person is, regardless of age, the less often
can he find a truly congenial companion. The average child finds
playmates in abundance who can think and act on a level congenial
to him because there are so many average children.
Adding to the conditions which make for isolation is the fact that
gifted children are often "only" children, or they have brothers
and sisters who differ widely from them in age. Thus playmates
in the home are less numerous for them than for children generally.
The imaginary playmate as a solution of the problem of loneliness
is fairly frequent. We know but little at present of the psychology
of this invention of the unreal to fill real needs. Reasoning
from the general principles of mental hygiene, one would say
that the pattern of companionship represented in the imaginary
playmate is less valuable for personal development than a pattern
founded on reality, and that effort should be made to fill the
real need with genuine persons, if possible.
Also, the deep interest in reading which typifies the gifted
child may further his isolation. Irwin believes that reading should
be deferred in the education of the highly intelligent. "I believe
it is especially important that intellectual children get a grasp
on reality through real experiences in making and doing things
before they are ever introduced to the wonders that lie within
books." From this point of view, the development of the physical,
social, and emotional aspects of personality would have first
attention in the education of a gifted child, the intellectual
being fostered last of all because it comes of itself and is too
likely to run away with the other three and lead to isolation.
This tendency to become isolated is one of the most important
factors to be considered in guiding the development of personality
in highly intelligent children, but it does not become a serious
problem except at the very extreme degrees of intelligence.
The majority of children between 130 and 150 IQ find fairly easy
adjustment, because neighborhoods and schools are selective,
so that like-minded children tend to be located in the same
schools and districts. Furthermore, the gifted child, being
large and strong for his age, is acceptable to playmates a year
or two older. Great difficulty arises only when a young child
is above 160 IQ. At the extremely high levels of 180 and 190 IQ,
the problem of friendships is difficult indeed, and the younger
the person, the more difficult it is. The trouble decreases with
age because as persons become adult, they naturally seek and find
on their own initiative groups who are like-minded, such as
learned societies.
THE CONCEPT OF "OPTIMUM INTELLIGENCE"
All things considered, the psychologist who has observed the
development of gifted children over a long period of time from
early childhood to maturity, evolves the idea that there is a
certain restricted portion of the total range of intelligence
which is most favorable to the development of successful and
well-rounded personality in the world as it now exists. This
limited range appears to be somewhere between 125 and 155 IQ.
Children and adolescents in this area are enough more intelligent
than the average to win the confidence of large numbers of their
fellows, which brings about leadership, and to manage their own
lives with superior efficiency. Moreover, there are enough of them
to afford mutual esteem and understanding. But those of 170 IQ
and beyond are too intelligent to be understood by the general
run of persons with whom they make contact. They are too infrequent
to find many congenial companions. They have to contend with
loneliness and with personal isolation from their contemporaries
throughout the period of immaturity. To what extent these patterns
become permanently fixed, we cannot yet tell.
There is thus an "optimum" intelligence, from the viewpoint of
personal happiness and adjustment to society, which is well below
the maximum. The exploration of this concept should yield truths
of value for education, and for social science as well. The few
children who test at the very top of the juvenile population have
a unique value for society. On them depends in large measure the
advancement of learning. If they fail of personal happiness and
human contact, their work for society as a whole may be impaired or
lost.
CONCLUSION
As far as observations go at present, intellectually gifted
children between 130 and 150 IQ seem to find the world well suited
to their development. As a group, they enjoy the advantages of
superior size, strength, health, and beauty; they are emotionally
well balanced and controlled; they are of good character;
and they tend to win the confidence of their contemporaries,
which gives them leadership. This is the "optimum" range of
intelligence, if personal happiness is being considered. If a
parent would want his child to enjoy "every advantage," he could
not do better than wish the child to be endowed with an IQ not
lower than 130 or higher than 150.
Above this limit, however--surely above 160 IQ--the deviation
is so great that it leads to special problems of development
which are correlated with personal isolation. As one boy with
an IQ of 190 has said: "It isn't good to be in college so awfully
young (twelve years of age). It produces a feeling of alienation."
How to provide against alienation from contemporaries of both
sexes, and how to prevent the negativism that results from
continuous living under inefficient or unreasonable authority,
are two of the important problems for education in its attempt
to insure good adjustment of personality for children of extremely
high intelligence.
[1] For the original discussion of this topic see the paper by this
title, by Leta S. Hollingworth, in the Fifteenth _Yearbook_ of the
Department of Elementary School Principals, National Education
Association (July, 1936), pages 272-281.
[2] Terman, Lewis M. _Genetic Studies of Genius_: Vol. I. Stanford
University Press, Stanford University, California; 1925.
[3] Hartshorne, H., and May, M. A. _Studies in Deceit_. The
Macmillan Company, New York; 1927.
[4] Haggerty, Melvin E. _Evaluation of Higher Institutions_.
University of Chicago Press, Chicago, Illinois; 1937.
[5] Burt, C. _The Young Delinquent_. D. Appleton-Century Company,
Inc., New York; 1924.
[6] Healy, W., and Bronner, A. F. _Criminals and Delinquents:
Their Making and Unmaking_. The Macmillan Company, New York; 1928.
[7] Yoder, G. F. "A Study of the Boyhood of Great Men." _Pedagogical
Seminary_ (1894).
[8] _Op. cit._
CHAPTER TWENTY
THE CHILD OF VERY SUPERIOR INTELLIGENCE AS A SPECIAL PROBLEM IN
SOCIAL ADJUSTMENT [1]
This discussion is limited to the problems that arise from _the
combination of immaturity and superiority_. Thus the problems
considered pertain chiefly to the period in the life of the
gifted child before he is twenty years of age; for the problems
of the person of superior intellect tend to be less numerous
as he grows older and can use his intelligence independently
in gaining control of his own life.
It should be stated emphatically at the outset that children
of very superior intelligence are not, as a group, socially
annoying. The problems presented are _those of the child_, not
those of society, as ordinarily understood. That this is so is
sufficiently proved by the scant attention that organized society
has bestowed upon the study of gifted children. Society studies
that which is socially annoying. The school attends to those who
give it trouble. Thus feeble-minded children ("minus deviates,"
as they are called in modern laboratories) have long been studied.
Millions of dollars have been spent in considering them, and a
voluminous literature has grown up through prolonged investigation
of their maladjustments. Gifted children, on the other hand, have
been studied hardly at all. Such investigations as we have are the
result of intellectual interest on the part of a few educators
and psychologists, who in the course of mental surveys became
interested in those children who test always at the top.
THE QUALITY OF GIFTED CHILDREN
Such data as we now possess, from the scientific study of the
gifted as organisms, show us that children of very superior
intelligence are typically superior in other qualities also.
They are superior in emotional stability and control. The old
idea that the very bright "child prodigy" is likely to be nervous
has been widespread, and popular fallacy inclines to mention
"bright and high-strung" in the same breath. In fact, we not
infrequently hear people claiming to be "high-strung" as a kind
of compliment to themselves, implying that they are therefore
also bright. Psychological researches of recent years have shown
these ideas to be merely superstitions, founded on nothing more
substantial than the human craving for a just nature that will
somehow penalize the lucky and equalize biological wealth.
The researches of Terman [2], particularly, and of Hartshorne
and May [3], have shown that highly intelligent children are more
stable emotionally than are unselected "controls" age for age,
and are superior to "controls" in their resistance to temptation.
The researches of Burt [4], and of Healy and Bronner [5], show
among delinquents few children of the high degree of intelligence
with which this paper deals.
The studies cited do not, of course, exhaust the recent scientific
literature, but they do fairly exemplify the results of concrete,
impersonal investigation, as distinguished from the results of
popular "wishful thinking." The child who tests above 130 IQ [6]
is _typically_ (though of course not invariably) large and strong
for his age, healthier than the average, contributes far less than
his quota to juvenile misbehavior as socially defined, and is
emotionally stable in superior degree.
Starting with these facts as to generally superior adjustment,
let us inquire whether there are, therefore, no special perplexities
in the life of a gifted child. Is it possible that a child may vary
as far in a "plus" direction from the average performance of his
contemporaries as an imbecile varies in a "minus" direction, and
find no special problems created for him by this wide difference
in mental power between himself and the average child of his age?
The psychologist who is professionally acquainted with children
who test above 130 IQ will be able to formulate clearly certain
special problems of adjustment, observed in the case study of
these children, which arise primarily from the very fact that
they are gifted. Let us attempt to state some of these problems.
The more intelligent the child, the more likely he is to become
involved in these puzzling situations.
THE PROBLEM OF WORK
Where the gifted child drifts in the school unrecognized, held to
the lock step which is determined by the capacities of the average,
he has little to do. He receives daily practice in habits of
idleness and daydreaming. His abilities are never genuinely
challenged, and the situation is contrived to build in him
expectations of an effortless existence. Children up to about
140 IQ tolerate the ordinary school routine quite well, being
usually a little young for grade through an extra promotion or
two, and achieving excellent marks without serious effort. But
above this status, children become increasingly bored with school
work, if kept in or nearly in the lock step. Children at or
above 180 IQ, for instance, are likely to regard school with
indifference, or with positive distaste, for they find nothing
interesting to do there.
On the other hand, if the child be greatly accelerated in grade
status, so that he is able to function intellectually with real
interest, he will be misplaced in other important respects.
A child of eight years graded with twelve-year-olds is out of
his depth socially and physically, though able to do intellectual
work as well as they can. These problems come out clearly when
we consider that the seats and desks planned for twelve-year-olds
will not fit him; that he will always be the last one chosen
in athletic contests; that no one will know how to treat him
at class parties; that the teacher will be prone to complain
of his manual work, such as handwriting; and that he will be
emotionally immature in comparison with older classmates. When
he jumps up and down, clapping his hands and shouting, "Goody!
goody!" at an announcement from the teacher, the older children
will laugh at him, and later may hang paper tails and other
tokens of ignominy upon him; whereas his childish glee would
have constituted no violation of taste among eight-year-olds.
A thousand concrete instances might be described to show what
these problems of adjustment are. Experimental education is
trying to solve them. At present, the special class is being
tried in populous centers, wherein a whole group of the young
gifted can be brought together (as has long been done for the
dull and slow).
In less populous communities, a moderate degree of acceleration,
combined with enrichment of the curriculum for the individual,
is being tried. We do not yet know how the problem of adjustment
to school work can best be solved. Indeed, we have just learned
how to define this problem.
THE PROBLEM OF ADJUSTMENT TO CLASSMATES
Typically, where there is no scientific recognition of the
presence of the gifted, these children, by the time they are
eight or nine years old, are more or less accelerated in
scholastic status and appear as the youngest in the class.
Such a child is thus youngest in the fourth or fifth grade,
in a heterogeneous group in which the oldest are retardates,
thirteen or fourteen years old. Now, in the case of boys
especially, it may happen that these dull adolescents lie in
wait to bully and tease the young gifted boy, whose "book-learning"
they detest and whose immaturity suggests the term "baby." The
present writer knows of instances in which these young children
have valiantly suffered at the hands of dull, bullying classmates,
protecting themselves as best they might by agility and wit,
since, of course, they could not possibly compete in size and
strength. The gross indignities and tortures thus suffered are
directly a penalty of being gifted; for little boys of like age,
in the grade proper to their age, do not come into classroom
contact with these over-age bullies to anything like the same
extent, and hence do not become targets for the latter.
One young gifted boy thus bullied said, "I rigged up a sling
and was going to hit him [[the bully]] with a marble, but got
afraid I might shoot his eye out." This simple statement tells
volumes.
It would seem that the school should somehow take effective
cognizance of this problem of the bully, which is created for
the gifted child directly as a result of the contacts forced
upon both of them by the school. Segregation of pupils on the
basis of mentality would go far to obviate such problems, but
except in cities, homogeneous grouping is difficult. At present,
compulsory education, with heterogeneous classes, forced upon
gifted children situations that would be analogous to those
arising if teachers and superintendents were compelled to consort
daily, unprotected, with giant thugs and gangsters. Gifted adults
are free to segregate themselves from thugs and gangsters, and
also to make explicit provision for police protection, but the
American school forces the dull bully upon the gifted child, in
daily contacts, out of which lasting problems of mental hygiene
may arise.
THE PROBLEM OF PLAY
Reports by gifted children themselves show that they are, as a
group, much interested in play, and that they have more "play
knowledge" than has the average child. When their reports are
compared item by item with reports similarly rendered by unselected
children, it appears that the gifted know more games of intellectual
skill, such as bridge and chess; that they care less, age for age,
for play which involves predominantly simple sensori-motor activity
which is aimless; and that gifted girls are far less interested
in traditional girls' play, as with dolls and tea sets, than
unselected girls are. The gifted enjoy more complicated and more
highly competitive games than the generality do, age for age.
Outdoor sports hold a high place with the gifted, being almost
as popular among them as is reading.
But although they love play, and have much play knowledge, the
play of the highly intelligent works out in practice as a somewhat
difficult compromise among their various powers. They follow their
intellectual interests as far as they can, but these are checked
in many ways by age, by degree of physical immaturity, and by
tradition. An eight-year-old of 160 IQ may, for example, be deeply
interested in tennis, but he is likely to be more or less kept
from playing because his physical development is not yet equal
to the demands of the game. He may love to play bridge, but
others of his age who are available as playmates do not, of
course, know how to play bridge, and he is not allowed to sit
up at night when his elders play.
By trial-and error experience, the highly intelligent child
has to work out an adjustment if he can, but there is likely
to be noticeable difficulty if he tests above 170 IQ. In the
ordinary course of events, it is hard for such a child to find
playmates who are congenial both in size and in mental interests.
Thus many of those who test very high are finally thrown back
upon themselves, and tend strongly to work out forms of solitary,
intellectual play. [7] The same situation is discovered in studies
of the childhood of eminent persons. Yoder [8], in his study of
the juvenile history of fifty very eminent persons, concluded that
their play "was often of a solitary kind." Reading, calculation,
designing, compiling collections, constructing an "imaginary land,"
evoking imaginary playmates--these forms of play stand out
prominently among the recreational interests of such children.
Since physical activity is hard to carry out interestingly alone,
their play tends to become habitually sedentary. Nevertheless, they
develop a high degree swimming, skating, and other forms of athletic
enjoyment which do not depend upon being included in a group.
Of six young children testing above 180 IQ, known to the present
writer, only one [9] had no conspicuous difficulty in play,
during early childhood. [10] The other five were all so divergent
from the usual in play interests that parents and teachers noticed
them. They were unpopular with children of their own age because
they always _wanted to organize the play_ into a complicated
pattern, with some remote and definite climax as the goal. As the
mother of one six-year-old said, "He can never be satisfied just to
toss a ball around, or to run about pulling and shouting." Children
of six years are ordinarily incapable of becoming interested in
long-sustained, complicated games which lead to remote goals, but
are, on the contrary, characteristically satisfied only by the
kind of random activity which bored this child of 187 IQ. The
playmates of ordinary intelligence naturally resented persistent
efforts to reform them and to organize them for the attainment
of remote goals. Furthermore, they did not have in their vocabulary
words that the gifted child knew well, used habitually, and took
for granted. Literally, they could not understand each other.
The result was that the child of 187 IQ did not "get along"
with those of his own age and size. But when he sought to join
the play of children _of his own mental age_ (above twelve years),
the six-year-old was rejected by them also, as being "a baby" and
"too little to play with us." The child, thus thrown back upon
himself, developed elaborate mathematical calculation, collecting,
reading, and games with imaginary playmates, as his chief forms
of play.
These young children of extremely high intellectual acumen fail
to be interested in "child's play" for the same reasons that in
adulthood they will fail to patronize custard-pie movies or
chute-the-chutes at amusement parks. It is futile, and probably
wholly unsound psychologically, to strive to interest the child
above 170 IQ in ring-around-the-rosy or blind-man's-buff. Many
well-meaning persons speak of such efforts as "socializing the
child," but it is probably not in this way that the very gifted
can be socialized. The problem of how the play interests of these
children can be realized is one that will depend largely on
individual circumstances for solution. Often it can be solved
only by the development of solitary play.
What, if any, effect the habitual evocation of imaginary playmates,
and the elaboration of the imaginary land, may exert on character
formation and habits of adjustment in adulthood is at present
unknown. Psychologists should study the hygienic aspects of
these methods of finding satisfaction outside of the real world.
Since gifted children are, as has been stated, on the whole a
stable and rational group, perhaps no effects, or good effects
only, result from this play of the imagination.
SPECIAL PROBLEMS OF THE GIFTED GIRL
It has been mentioned that gifted girls are less interested in
traditional girls' play than are unselected girls. They show a
preference for boys' books and boys' play, and a greater community
of interests with boys than the generality of girls display. This
merely means that girls of a high degree of intelligence are,
as a group, more competitive, aggressive, and active than girls
are supposed to be.
An illustrative case is that of a seven-year-old girl of IQ
170, whose mother wished to learn from psychology how to break
her child of being a "tomboy" and how to rear her to "be a lady."
The mother complained that the girl had never cared for dolls,
that she would not take an interest in her clothes, and that
she wanted to do nothing after school but read or play "rough,
outdoor games." "How," inquired the mother, "could I break her
of the habit of climbing lampposts?" This child was active and
competitive. When asked why she did not play with dolls, she
replied, "They aren't _real_. The doll that is supposed to be
a baby doll is twice as big as the one that is made like a mother
doll."
Aside from their dissatisfaction with the play habits ordinarily
associated with their sex, gifted girls have various other problems
to face which arise directly from the facts that they are able and
that they are girls. When they reach the stage of life-planning,
as they do very early, they are confused in their self-seeking
by the uncertainty in contemporary customs as to what a girl may
become. This difficulty is growing less and less, to be sure, but
it is still something to be reckoned with, especially in certain
localities. The intelligent girl begins very early to perceive
that she is, so to speak, of the wrong sex. From a thousand tiny
cues, she learns that she is not expected to entertain the same
ambitions as her brother. Her problem is to adjust her ambitions
to a sense of sex inferiority without, on the one hand, losing
self-respect and self-determination, and, on the other, without
becoming morbidly aggressive. This is never an easy adjustment
to achieve, and even superior intelligence does not always suffice
to accomplish it. The special problem of gifted girls is that they
have strong preferences for activities that are hard to follow
on account of their sex, which is inescapable.
PROBLEMS OF CONFORMITY
Judgments of teachers and parents indicate that highly intelligent
children are, on the whole, more easily disciplined than children
generally are. Nonetheless, certain problems of discipline do
arise, which grow out of their intelligence. First, in the case
of the schoolroom situation almost the only respect in which
discipline is especially troublesome with these children is
in the matter of orderly discussion when they are together in
special classes. It is hard for them to maintain silence when
ideas press for utterance. The tendency is for many to speak
at once, each striving to outspeak the others. An atmosphere
of confusion is thus created unless discipline can be imposed.
To hold his tongue, to listen quietly and respectfully to others,
to speak according to some order of procedure, and to restrain
disappointment at failure to be heard at all--these habits seem
especially difficult for gifted children to form. Only gradually
do these children learn self-government in this respect.
Also it has been noticed during the experimental education of
the highly intelligent that they sometimes tend to slight routine
drudgery in favor of more stimulating and more original projects.
The sheer drudgery involved in learning their multiplication table,
for example, is likely to be waived in order to follow some
absorbing story or experiment, unless conformity be urged from
without.
At home, a special problem of discipline may arise occasionally
due to the circumstance of that child, while still very immature
in years, has come to exceed one parent or both in intelligence.
For the best discipline routine _the parent must be more intelligent
than the child_ or the child's respect for the opinions of
the former will inevitably be lost. With the most gifted children
this may quite early become a problem, since such children, by
the age of ten years or before, are more intelligent than the
average adult is. Very readily such a child perceives that in
comparison with himself his parent is slow-witted and lacking
in general information. Yet in self-control and in experience
of life, the child is still very immature. Thus quite unfortunate
developments may ensue in the parent-child relationship. The child
may become the director of the parent's activities, reversing the
socially acceptable condition of affairs. Fortunately, in the
vast majority of cases at least one of the parents is a person
of superior intelligence. We seldom find a very intelligent
child in a home where _both_ parents are average or below average
in mental power.
Because he learns everything very quickly, the highly intelligent
child is especially quick to discover what forms of conduct
on his part bring him satisfactions. If the tantrum is rewarded
by the parent with cookies, company, attention, or other childish
delights, then the bright child may display even "bigger and
better" tantrums than will those who are slower to learn. If
illness brings coddling, release from undesired responsibility,
and other pleasures, then the quick learner will readily perceive
the value of "headaches" and other aches as means to ends. On the
other hand, the very intelligent learn readily to refrain from
undesirable behavior that is followed quickly and inevitably
by punishment. Two or three experiences usually suffice for
these excellent learners. Neglect and ostracism are good forms
of punishment for them. Darwin tells us that he was cured of
telling sensational fibs, as a child, simply by the chilling
silence with which they were always received by his parents.
One more problem may be noted here. There is with intelligent
children a stronger tendency to _argue_ about what is required
of them than is found with the average child. This tendency
to argue as to the why and wherefore of a requirement is met
both at home and at school, and calls for thought in proper
handling on the part of parents and teachers. To find a golden
mean between arbitrary abolition of all argument, on the one
hand, and weak fostering of an intolerable habit of endless
argumentation, on the other, is not always easy, but it is always
worth while as a measure for retaining the respect of the child.
THE PROBLEMS OF ORIGIN AND OF DESTINY
Early interest in origins and in destinies is one of the conspicuous
symptoms of intellectual acumen. "Where did the moon come from?"
"Who made the world?" "What is the very end of autumn leaves?"
"Where did I come from?" "What will become of me when I die?" "Why
did I come into the world?"
Although these questions rise vaguely and intermittently in
the minds of children in general, they do not begin to require
logically coherent answers until about the mental age of twelve
or thirteen years. Then they begin to press for more or less
systematic accounts. From these circumstances of mental development,
the erroneous idea has long been promulgated, even by psychologists,
that _puberty_ in some mysterious manner leads to the rise of
religious needs and convictions. Since among the generality
a "mental age" of thirteen years is, roughly, coincident with
the age of pubescence, the two developments have been assumed
to be casually related.
When we observe young gifted children, we discover that religious
ideas and needs originate in them _whenever they develop to a
mental level_ past "twelve years mental age." Thus they show
these needs when they are but eight or nine years old, or earlier.
The higher the IQ the earlier does the pressing need for an
explanation of the universe occur, the sooner does the demand for
a concept of the origin and destiny of the self appear.
In the cases of children who test above 180 IQ observed by the
present writer, definite demand for a systematic philosophy
of life and death developed when they were but six or seven
years old. Similar phenomena appear in the childhood histories
of eminent persons where data of childhood are available. Goethe,
for example, at the age of nine constructed an altar and devised
a religion of his own, in which God could be worshiped without
the help of priests.
Much could be said of the special problems of the young gifted
child in this period of immaturity when his intellectual needs
are those of an adolescent while his emotional control and physical
powers are still but those of a child. It would be of great
interest to study the reactions of older persons to the insistent
questions and searchings of these young children. "You are too
young to understand." "You can't know all that till you grow
older." "You unnatural child!" These are responses that have
been heard incidentally, falling from the lips of undiscerning
parents. A girl of eight years, of IQ 150, recently was heard
to express a determination to join the "Agnostic Church," because
she had asked, "What is it called when you can't make up your mind
whether there is a God or not?" and had been told that this would
be agnosticism.
Part and parcel of these questionings concerning origin and
destiny are those concerning birth and reproduction. At a "tender"
age these children ask for an account of sex and reproduction and
suffer much at the hands of parents and guardians who are shocked
at what thus emanates from the mouths of babes. Lifelong problems
of mental hygiene may be thus engendered by parents who cannot
understand why a child should be "so unnatural" as to weep over
questions of birth and death at six or seven years of age.
In the same way problems of right and wrong become troublesome
for these young children in a way that does not happen except
for the very able. For instance, a six-year-old boy of IQ 187
wept bitterly after reading "how the North taxed the South after
the Civil War." The problem of evil in the abstract thus comes
to trouble these children almost in their cradles, at an age
when they are ill-suited to grapple with it from the point of
view of emotional maturity. Special problems of mental hygiene
are perhaps inherent in this situation which do not arise with
the generality of children.
GENERAL CONSIDERATIONS
The list of problems that we have suggested here does not
by any means exhaust the subject under discussion. However,
the present writer believes that these are some of the
more important problems of childhood that originate directly
from the circumstance of being very highly intelligent among
official guardians who are ignorant or careless of the fact.
These problems of adjustment do not arise unless a child is
gifted intellectually. They are conspicuous to the psychologist
who studies children with "test knowledge" of them.
It is especially to be noted that many of these problems are
functions of immaturity. To have the intelligence of an adult
and the emotions of a child combined in a childish body is to
encounter certain difficulties. It follows that (after babyhood)
the younger the child, the greater the difficulties, and that
adjustment becomes easier with every additional year of age. The
years between four and nine are probably the most likely to be
beset with the problems mentioned.
The physical differences between a child of six whose IQ is 150
and children of nine years (whose mental age corresponds to his)
are unabridgeable, and so are the differences of taste, due to
differences in emotional maturity. The child of six graded with
nine-year-olds is out of his element physically and socially,
but the same thing is not true of a sixteen-year-old among
nineteen-year-olds. The difference between six and nine is very
great. The difference between sixteen and nineteen is small in
terms of biological development.
Moreover, as the bright go forward in school, they find work
increasingly adapted to their powers by the automatic developments
of the established curriculum. Senior high schools are, we have
discovered, adapted only to adolescents of superior intelligence.
Classmates become automatically more congenial through being more
highly selected. The dull bully, with his crude horseplay, has
left school, and in any case the gifted, being older, can defend
themselves physically.
By the time a gifted person is physically mature, many of the
problems herein outlined automatically disappear as problems.
What after-effects there may be of the poor solution of these
childish problems we do not know. Apparently these superior
organisms tolerate well the strains put upon them by reason
of their deviation from the average. However, that an organism
stands strain well is no reason for putting or leaving strain
unnecessarily upon it.
As the gifted individual grows to maturity, he or she can achieve
control of his or her own life, and can dispense to a relatively
great extent with inadvertent cruelties and mistaken efforts of
uninformed official guardians. It is _during childhood_ that the
gifted boy or girl is at the mercy of guardians whose duty it is
to know his nature and his needs much more fully than they now do.
[1] Reprinted from _Mental Hygiene_: Vol. XI, No. 1, pages 3-16
(January, 1931). Read by Leta. S. Hollingworth at the First
International Congress of Mental Hygiene, Washington, D. C.,
May 8, 1930.
[2] Terman, Lewis M. _Genetic Studies of Genius_: Vol. I. Stanford
University Press, Stanford University, California; 1925.
[3] Hartshorne, H., and May, M. A. _Studies in Deceit_. The
Macmillan Company, New York; 1927.
[4] Burt, C. _The Young Delinquent_. D. Appleton-Century Company,
Inc., New York; 1924.
[5] Healy, W., and Bronner, A. F. _Criminals and Delinquents: Their
Making and Unmaking_. The Macmillan Company, New York; 1928.
[6] The intelligence quotient is the ratio between the [chronological
age] status achieved on tests by an individual and that achieved
by the generality [of the same chronological age].
[7] Hollingworth, Leta S. _Gifted Children: Their Nature and
Nurture_. The Macmillan Company, New York; 1926.
[8] Yoder, G. F. "A Study of the Boyhood of Great Men." _Pedagogical
Seminary_ (1894).
[9] This child attended a private school where a number of the pupils
tested above 140 IQ.
[10] This was written in 1931.
CHAPTER TWENTY-ONE THE ELEMENTARY SCHOOLING OF VERY BRIGHT CHILDREN
In this chapter are presented selected relevant paragraphs
from two of the later papers by the author: "An Enrichment
Curriculum for Rapid Learners" [1] and "What We Know about
the Early Selection and Training of Leaders." [2]
This is neither the time nor the place for discussion of the
techniques of mental measurement, but rather for the discussion
of results. What, first, do we know about the selection of children
who stand in the upper ranges of intelligence? Facts of much
importance have been established since 1905.
In the first place, we have proved that children who rate in
the top one per cent of the juvenile population in respect to
"judgment," as Binet called it, also possess much more often
than others those additional qualities which thinkers have most
frequently named as desirable in leaders. There is a strong
probability that a child who rates as only one in a hundred
for intelligence will also be endowed in superior degree with
"integrity, independence, originality, creative imagination,
vitality, forcefulness, warmth, poise, and stability."
These characteristics are identical with those set forth by
Harvard College as the additional traits desired in boys,
already proved by tests to be highly intelligent, who are to
receive National Scholarships. I believe no one would wish
to delete from the list any trait thus stipulated. I would,
however, add to it audacity, capacity for nonconformity, love
of beauty, and cold courage, as traits to cherish in leaders,
although these are often uncongenial to teachers in the elementary
school, and possibly to other educators.
We find all these qualities in superior measure among highly
intelligent children, according to the ratings of those who
know them. If one would call for a mathematical statement of the
likelihood of finding these traits in combination with high
intelligence, we could give it. I may say that the correlation
coefficients hover around .50. This means that in selecting
any child testing far up in the top one per cent--say at 160 IQ
or above (100 IQ being par)--there is far more than an even
chance of having thus automatically selected a tall, healthy,
fine-looking, honest, and courageous child, with a great love
of adventure and of beauty in his makeup. With a correlation
so far from unity as .50, however, we cannot be at all certain
of such a happy combination. We shall find a minority of cases
where fine judgment is combined with an unstable temper, a crippled
body, an ugly face, a ruthless disregard for others, malign
chicanery, cowardice. (I would say there cannot be a very high
intelligence without the love of beauty.)
Educational psychology works constantly to find ways of knowing
how to identify these additional elements. It will be a long time
before we advance to a point where we can measure these as well
as we can now measure intelligence. Some of these additional
qualifications are undoubtedly as essential to leadership as
intelligence is. A rascal, a coward, a liar, a tyrant, a panderer,
a fanatic, an invalid, is not a desirable leader, no matter whether
his IQ is 200. We must learn to select from among the highly
intelligent those who have the greatest number of additional
qualifications. We must learn what these additional qualifications
are. One knows them when one sees them in action. For example,
an eleven-year-old boy of IQ close to 180 decided to run for
the office of class president in the senior high school to which
he had been accelerated. His classmates were around sixteen
years of age. During the electioneering a proponent of a rival
candidate arose to speak against the eleven-year-old, and he
said, among other things, "Fellows, we don't want a president
in knee pants!"
In the midst of the applause following this remark, the eleven-year-old
arose, and waving his hand casually in the direction of the
full-length portrait of George Washington on the wall, he said,
"Fellows, try to remember that when George got to be the Father
of our country he was wearing knee pants." The eleven-year-old
was elected by a large majority. He gave evidence not only of
an IQ of 180, but also of the additional qualities of political
leadership in highest degree: audacity, presence of mind, good
humor, grace, and, above all, the genuine desire to be a popular
leader. He knew how to bridge, by a debonair gesture, the great
gap between him and those to be led.
This boy had qualities of _political_ leadership. This limiting
adjective opens the large subject of the different kinds of
leaders. Leaders of whom, and for what ends? Observation of
children suggests that there is a direct ratio between the
intelligence of the leader and that of the led. To be a leader
of his contemporaries, a child must be more intelligent, but
_not too much more intelligent_, than those who are to be led.
There are rare exceptions to this principle, as in the case we
have cited. But, generally speaking, a leadership pattern will
not form--or it will break up--when a discrepancy of more than
about 30 points of IQ comes to exist between the leader and the led.
This concept of an optimum which is not a maximum difference
between the leader and the led has very important implications
for selection and training. We cannot do more than to point to it
here, in passing. Among school children--as among the peoples
of all times--the great intellectual leaders are unrecognized,
isolated, and even ridiculed by all but a few in the ordinary
course of mass education. They can develop leadership of their
sort only when placed in special classes.
Observation and investigation prove that in the matter of their
intellectual work these children are customarily wasting much
time in the elementary schools. We know from measurements made
over a three-year period that a child of 140 IQ can master all
the mental work provided in the elementary school, as established,
in half the time allowed him. Therefore, one-half the time which
he spends at school could be utilized in doing something more
than the curriculum calls for. A child of 170 IQ can do all the
studies that are at present required of him, with top "marks,"
in about one-fourth the time he is compelled to spend at school.
What, then, are these pupils doing in the ordinary school setup
while the teacher teaches the other children who need the lessons?
No exhaustive discussion of time-wasting can be undertaken here,
except to say briefly that these exceptional pupils are running
errands, idling, engaging in "busy work," or devising childish
tasks of their own, such as learning to read backward--since
they can already read forward very fluently. Many are the devices
invented by busy teachers to "take up" the extra time of these
rapid learners, but few of these devices have the appropriate
character that can be built only on psychological insight into
the nature and the needs of gifted children.
Before education can discharge this most important task of all
with economy and justice, it must become a science. The science
which is fundamental to education is psychology. Psychology had
to develop the methods of mental measurement before there could
be accurate or humane dealing in a system of compulsory education.
We must take "the measure of a man" before we can know how to
educate him; and it remained for mental measurement to reveal
the astonishing power of learning that is latent in an elementary
school-child of IQ 170 or 180. How shall such pupils be taught?
How shall we educate these rapid learners, these subtle thinkers,
these children of potential genius in the elementary school?
CONSIDERATIONS IN PLANNING THE CURRICULUM [3]
At the outset we must realize and admit that no absolute criteria
exist by which to select from all aspects of human experience
those which are most valuable for a group of gifted children. There
is no body of "revealed" wisdom about this matter. Nevertheless, we
are not altogether at sea. Common sense, accompanied by scientific
facts of psychology, comes to our assistance, and we may note first
such negative considerations as occur to us under this guidance.
It is useless to undertake extensive work in classical languages
or in mathematics as "general discipline" for the minds of these
rapid learners. The education given should be such as will function
specifically and uniquely in their lives. It should afford them
a rich background of ideas, in terms of which they may _perceive
the significant features of their own times_.
Another definitely negative consideration applies to the avoidance
of all "subjects" which they will have occasion to encounter in
high school and college in later years. These young children can
learn algebra or Latin grammar or chemistry easily enough, but
what is the use of having them do so? The opportunity and the
prescribed necessity for this will come later.
Turning to positive considerations, we know that these pupils--they
and no others--will possess as adults those mental powers on which
the learned professions depend for conservation and advancement.
Also, we know that they will be the literary interpreters of the
world of their generation. And they will be the ones who can
think deeply and clearly about abstractions like the state, the
government, and economics. We know this because we have seen a
group like this "grow up" over a period of fifteen years, and
we know what "became" of every one of them. Below an IQ of 130 no
very large amount of effective thinking about complex abstractions
can be done at any age. That, we are learning, is about the median
mental caliber of college students in first-class colleges, taking
it our country over. In many highly selected, first-class colleges,
the boy or girl of IQ 140 finds himself or herself merely a good
average student, steadily receiving "C's." In such colleges one
must be a very good thinker in order to survive the course, but
no one would consider median students in our first-rate colleges
to be geniuses. The suggestion advanced about twenty years ago
that 140 IQ represents "genius or near-genius" was premature. And
when we remember that 120 IQ and 115 IQ are well below these
median students in mental power, it becomes clear that at and
below those levels conservation and advancement of the abstractions
underlying the learned professions will be very inadequately
handled. Really adequate _conservation_ of the precious stores
of knowledge laid up in medicine, law, theology, education, and
the sciences depends on those not below 130 IQ.
As for _originations_, whereby one generation progresses beyond
another in control of the physical environment and of preventable
evils, we are learning that only a few in the topmost ranges
can produce them in the realm of abstractions. Only a few in the
top one per cent can contribute to actual _progress_. As Franklin
K. Lane has said, "Progress means the discovery of the capable.
They are our natural masters. They lead because they have the
right. And everything done to keep them from rising is a blow
to what we call our civilization." To develop each according
to his ability: this is democracy at its ideal best.
The education of the best thinkers should be an education for
initiative and originality. Effective originality depends, first
of all, upon sound and exhaustive knowledge of what the course
of preceding events has been. To take their unique places in
civilized society, it would seem, therefore, that the intellectually
gifted need especially to know what the evolution of culture has
been. And since at eight or nine years of age they are not as yet
ready for specialization, what they need to know is the evolution
of culture as it has affected _common things_. At present, this
is not taught to children or to adolescents, except in fragmentary
and casual ways. Persons typically graduate from elementary school,
high school, and college, and take postgraduate degrees without
learning much, if anything, about the evolution of lighting, of
refrigeration, of shipping, of clothing, of etiquette, of trains,
of libraries, and of a thousand things which have been contributed
to the common life by persons in past times and which distinguish
the life of civilized man from the existence of the savage. These
things are vaguely taken for granted even by the intelligent,
educated person. No systematic knowledge of how they came into
being enriches his understanding. Nor is he aware of the biographies
of those who have made his comfort and his safety possible. No
more does he understand how dangerous and destructive forces came
to be in the world. Of these vast fields the college graduate
is typically ignorant, as has frequently been proved.
The activities which make up the life of a civilized man may be
variously organized and classified for purposes of study in the
elementary school. A number of the progressive schools have
undertaken projects in these fields. The pupils in such schools
usually test at a median of about 118 IQ, and the work they have
done, while it is helpful and suggestive, is not what is needed
for pupils of the caliber with which we are here dealing.
Topical classifications which have suggested themselves as areas
for study might be stated as follows: food; shelter; clothing;
transportation; sanitation and health; trade; time-keeping;
illumination; tools and implements; communication; law; government;
education; warfare; punishment; labor; recreation. Every one of
these areas of human culture affords the opportunity and necessity
for studying _the evolution of common things_, satisfying the
intellectual curiosity, and challenging the power of learning of
the children here considered.
ENRICHMENT UNITS AT SPEYER SCHOOL
Between the ages of seven and thirteen years, the minds of these
children are occupied primarily with exploration of the world
in which they have recently arrived. They are full of questions
of fact, not yet being distracted by the emotional and dynamic
interests that come with adolescence and adulthood. This is the
golden age of the intellect. Why? How? When? Who? Where? What? are
constantly on their tongues, as any parent of a child in our
classes will testify.
Now, in accordance with the philosophy and psychology which we have
tried all too briefly to indicate, a series of "enrichment units"
is being worked out at Speyer School day by day in our classrooms.
These are being published in the form of teachers' handbooks, in a
series designated "The Evolution of Common Things," the first
numbers of which have been published. It will take five years
to complete the series, at the end of which time we shall know
_from experience_ how much knowledge along the lines indicated
can be organized and learned by children above 130 IQ in the years
of the elementary school.
The handbooks, as they appear in published form, will represent
the actual work of _the pupils themselves_, guided by the teacher.
The teachers did not discover and assemble the materials of
instruction, and "give them out." The children did this work.
In the end, the teacher organized the total work into an orderly
sequence, and verbalized it in final form for presentation. But
no teacher would have the time or energy to carry on the work of
the school and also collect and compile the materials contained
in one of these units.
When an area of knowledge has been circumscribed by the children as
one chosen for study by class discussion, the teacher participating
in the thinking but not leading it, the pupils (there are twenty-five
in each class) divide themselves into "committees." These various
groups of three to five children each bring special knowledge
to the class periods, and all share in the sum total of facts
and ideas thus assembled. Libraries are thoroughly utilized
in this process. Ninety-five per cent of the pupils who were
admitted to our classes in February, 1936 (they were then between
the ages of seven and nine), had and were using "library cards"
from the New York Public Library. They are taken by their teachers
to the nearest branch of the Public Library on days arranged for,
and they "look up" their own materials, following the topics listed.
Librarians were at first skeptical as to the wisdom of admitting
these very young children to the card indices and other facilities
of the library. But librarians are an open-minded group, and they
were persuaded to let the children try. No difficulty at all has
been experienced. Stedman showed long ago that elementary school
children of IQ above 140 can use a library and consult reference
books as well as students in the normal school do.
In addition to work in the Public Library, the classes have
the right to use books from the Teachers College Library; and
to the librarians of Teachers College much credit is due for
their effective coöperation. Also, the library facilities of
the public schools are thoroughly utilized. Current periodical
literature, coming to the homes of the pupils, makes a constant
contribution. It is surprising how few of the books found most
useful were written by professed educators.
Of the trips undertaken, the visual aids supplied, and other
methods of instruction there is not space to tell here. These
are described fully in the units as they appear.
"The Evolution of Common Things" is the chief enrichment project
growing in our classes. However, much in addition to this work
is incorporated in our curriculum. These additions may be described
as follows.
First may be mentioned the study of Biography, because it is very
closely allied to "The Evolution of Common Things." This is planned
to continue for five years, though not being done in every term
continuously. It is inevitable that it should become apparent
to our pupils that all "common things" of the kind being studied
have had their origins in the minds of _people_. Who these people
were is answered by the study of biography. The question "Who?"
is constantly in the air. During the year 1936-1937, about one
hundred persons were "biografied" [4] by our pupils, most of
them persons who have given us very important "common things."
The idea that biography is a study well suited to young gifted
children was given trial experimentally fifteen years ago at Public
School 165, Manhattan, and its suitability was there proved. At the
Speyer School we are able to build upon the previous experiment and
to extend and improve the work, mainly because of the astonishing
improvement in the writing of biography which has taken place
in the recent past.
The French language and literature will be taught for the full
five years. This is done for three reasons: (1) the pupils with
whom we are dealing will, more than others, have occasion to meet
foreign peoples, and to represent their country abroad in the realm
of ideas; (2) it is thought that the earlier a language is studied,
the more thoroughly it can be mastered, especially as regards
pronunciation; (3) the teaching of a modern language enriches,
without anticipating, the opportunities of the high school and
college, since the pupils will have occasion to take _various_
languages later, and may ultimately emerge with three, instead
of the usual two, at their command. French rather than German,
Spanish, or Italian was chosen because teachers of the French
language were available on our staff, and we gladly adopted it.
Another of the important enrichment projects is the formulation
of a curriculum in the Science of Nutrition. This, also, is a
five-year plan, in the course of which a curriculum in nutrition
will be set up in terms of the vocabulary, the concepts, and the
capacity of thinking which are proper to these children.
SPECIAL WORK
Special work in general science has been carried on since the
opening of the classes. For a time the "question-box" method
was tried. A "question-box" dealing with science in any and all
its aspects was opened once a week, and the children's questions
found in it were discussed by a special teacher.
Through the courtesy of the Music and Arts High School, special
teachers of these subjects have been assigned, and many projects
have been carried through. The pupils have made murals founded
on their studies of common things. They have learned French songs,
and have become familiar with many things in music.
Another teacher of the staff of the Speyer School is developing
dramatics for our classes. It is evident that a large opportunity
for the development of the creative abilities of our pupils
lies here.
Handicrafts are taught at least once each week. The handwork of
the rapid learners is very superior, contrary to the current
superstition that highly intelligent children are "poor with
their hands." During the year 1936-1937, the pupils made airplanes
from blueprints, which involved very delicate operations with
glue and small pieces of wood. They were then seven to nine years old.
One afternoon each week, the Games Club meets, and there the
children learn games of intellectual skill. Chess and checkers are
the favorites. It is believed that education for leisure time is a
special responsibility of those who teach highly intelligent
children. The most intelligent tend to become "isolates," through
not finding in the ordinary course of life recreations congenial
both to themselves and to contemporaries. A game like chess or
checkers can be shared with pleasure, irrespective of age, by any
two people who have a sufficient "mental nearness." Hence they help
a very gifted child to "find company" and "enjoy himself" in all
age groups--a very important factor in the social development
of such a child. The interest in these games is kept within bounds
by the restriction to one hour a week and to those pupils who are
up to date in their school work. Possibly more time should be
allowed for the Games Club as pupils grow older.
Having followed our description of the enriched curriculum to this
point, readers who have no direct experience in the education of
children of the caliber being considered may begin to be anxious
for the welfare of "reading, writing, and arithmetic." Let them
be reassured. Mornings are devoted to the established curriculum
of the elementary school, the pupils working by "contracts."
Achievement tests are given at regular intervals to determine
conventional grade status in the various "subjects." In June,
1937, our pupils showed the "educational age" of pupils at the
middle of the seventh grade of the elementary schools as measured
by Stanford Achievement Tests. They were then nine years six months
old, on the median. The "regular" grade status for them would have
been the middle of the fourth grade. The most intelligent tenth
of the pupils were already "through the ceiling" of Stanford
Achievement and of other standard achievement tests in June, 1937.
At this point, it should be mentioned that our pupils do not have
and never have had homework assigned to them.
The intellectual interest and capacity of young children who
test from 160 to 200 IQ is incredible to those who have had no
experience with the teaching of such children. We have in our
classes about a dozen of such extreme deviates. They are truly
_original_ thinkers and doers of their generation. A book could
be made of the incidents constantly occurring which denote the
qualities of their minds. It is these children who suffer most
from ennui in the ordinary situation.
For instance, recently in the discussion of the biography of
Madame Curie, the question was raised by a pupil as to what
"radium _really_ is." One suggested that "radium is a stone."
Another said that "radium is a metal." The person in charge
of the class then said, "What is the difference between a stone
and a metal?" A pupil of an extremely high degree of intelligence
rose and said, "The main difference is that a metal is malleable
and ductile, and a stone is not." He then enlarged very precisely
upon "what these properties are." At the moment of this discussion,
this boy was nine years six months old. The others listened
attentively, and understood the elucidation.
Such incidents, occurring daily, give some idea of the level of
minds being dealt with in our classes. The boy who thought and
said what is set forth above was placed in the sixth grade when
his principal recommended him to our classes. He had then been
"skipped" to a point well out of his age group, and yet he had
nothing whatever to learn from the work of the sixth grade.
The pupils in the classes for rapid learners will go to senior high
school when they are thirteen years old. In the meantime, they will
be learning and thinking in the company of their contemporaries
as regards age and social interests. They will have proper
intellectual training, and will at no time idle their time away,
be practiced in habits of laziness, or become the victims of
boredom. They will emerge into high school with a background of
knowledge richer and fuller by far than that of pupils of equal
mentality, for whom no enrichment program has been provided.
EMOTIONAL EDUCATION
Much more might be said of the program of intellectual training,
but I must pass on to consider what may be even more important--
their training in attitudes, emotions, and drives; in other words,
their emotional education. How shall we avoid the conditions
which, under the prevailing system of mass education, tend to
produce emotional habits destructive of leadership?
Of all the speical problems of general conduct which the most
intelligent children face, I will mention five, which beset
them in early years and may lead to habits subversive of fine
leadership: (1) to find enough hard and interesting work at
school; (2) to suffer fools gladly; (3) to keep from becoming
negativistic toward authority; (4) to keep from becoming hermits;
(5) to avoid the formation of habits of extreme chicanery.
In the ordinary elementary school situation children of 140 IQ
waste half of their time. Those above 170 IQ waste practically
all of their time. With little to do, how can these children
develop power of sustained effort, respect for the task, or habits
of steady work? I could entertain you for some time telling you
the various sorts of bizarre and wasteful activities that were
taking up the time of the most intelligent elementary school
children in this nation yesterday in their classrooms, but we
must pass on to other things.
A lesson which many highly intelligent persons never learn as long
as they live is that human beings in general are incorrigibly very
different from themselves in thought, action, and desire. Many a
reformer has died at the hands of a mob which he was trying
to improve. The highly intelligent child must learn to suffer
fools gladly--not sneeringly, not angrily, not despairingly,
not weepingly--but _gladly_, if personal development is to proceed
successfully in the world as it is. Failure to learn how to
tolerate in a reasonable fashion the foolishness of others less
gifted leads to bitterness, disillusionment, and misanthropy,
which are the ruin of potential leaders.
Every day at school the opportunity presents itself to learn this
lesson. Especially hard for these intelligent children to bear
is the foolishness of accepted authority. For instance, our pupils
found it stated in their encyclopedia that Mr. Orville Wright is
dead. As is likely to be the case, a child in the group immediately
identified error. "Mr. Orville Wright is as much alive as I am,"
declared this child. This was subsequently verified by the class as
a whole. They wrote to Mr. Wright, fiercely protesting against the
foolishness of the encyclopedia. They wanted to throw the false
authority out at once.
The teacher discussed the incident on the basis of "glad suffering."
I can't take time to describe the conversation that pivoted on
this incident, but I can say that it was valuable as emotional
education. The pupils still have the offending encyclopedia.
As a form of failure to suffer fools gladly, negativism may
develop. The foolish teacher who hates to be corrected by a child
is unsuited to these children. Too many children of IQ 170 are
being taught by teachers of IQ 120. Into this important matter of
the _selection of the teacher_ we cannot enter, except to illustrate
the difficulty from recent conversation with a ten-year-old boy
of IQ 165. This boy was referred to us as a school problem:
"Not interested in the school work. Very impudent. A liar."
The following is a fragment of conversation with this boy:
What seems to be your _main_ problem in school?
Several of them.
Name _one_.
Well, I will name the teachers. Oh, boy! It is bad enough when
the _pupils_ make mistakes, but when the _teachers_ make
mistakes, oh, boy!
Mention a few mistakes the teachers made.
For instance I was sitting in 5A and the teacher was teaching
5B. She was telling those children that the Germans discovered
printing, that Gutenberg was the first discoverer of it, mind
you. After a few minutes I couldn't stand it. I am not supposed
to recite in that class, you see, but I got up. I said, "No; the
Chinese _invented_, not discovered, printing, before the time
of Gutenberg--while the Germans were still barbarians."
Then the teacher said, "Sit down. You are entirely too fresh."
Later on she gave me a raking-over before the whole class. Oh,
boy! What teaching!
It seemed to me that one should begin at once in this case the
lesson about suffering fools gladly. So I said, "Ned, that teacher
is foolish, but one of the very first things to learn in the
world is to suffer fools _gladly_." The child was so filled
with resentment that he heard only the word "suffer."
"Yes, that's it. That's what _I_ say! Make 'em suffer. Roll a rock
on 'em."
I quote this to suggest how negativistic rebels may seize on
the wrong idea. Before we finished the conversation Ned was
straightened out on the subject of who was to do the suffering.
He agreed to do it himself.
I will cite another conversation, this time with a nine-year-old,
of IQ 183.
What seems to be the _main_ trouble with you at school?
The teacher can't pronounce.
Can't pronounce _what_?
Oh, lots of things. The teacher said "Magdalen College"--at
Oxford, you know. I said, "In England they call it Môdlin
College." The teacher wrote a note home to say I am rude and
disorderly. She does not like me.
Just one more conversation, this time with an eight-year-old,
of IQ 178, Sent as a school problem:
What is your _main_ trouble at school?
My really main trouble is _not_ at school.
Where is it, then?
It is the _librarian_.
How is _that_?
Well, for instance, I go to the library to look for my books
on mechanics. I am making a new way for engines to go into
reverse gear. The librarian says, "Here, where are you going?
You belong in the juvenile department." So I have to go where
the children are all _supposed_ to go. But I don't stay there
long, because they don't have any real books there. Say, do you
think you could get me a card to the other department?
This subject is inexhaustible, but we must go on to speak of
the psychological isolation of these children when they drift
unrecognized. The majority of children above 160 IQ play little
with other children because the difficulties of social contact
are almost insurmountable. Unless special facilities can be
provided, these children tend to become isolates, a condition
not conducive to leadership, except perhaps of a few rare sorts,
later in life. Such children are ordinarily friendly and gregarious
by nature, but their efforts at forming friendship tend to be
defeated by the scarcity of like-minded contemporaries. The
imaginary playmate as a solution of the problem of loneliness
is fairly frequent, but far inferior to the real playmate, could
one be found. Shaw makes Saint Joan say, "I was always alone."
This danger of becoming an isolate and a hermit is one that should
be carefully studied in the interests of leadership. To combat it
we must somehow supply the highly intelligent in their early years
with companions, especially of their own age, who can understand
what they say, and can answer. This difficulty of communication
is illustrated by Voltaire's abortive attempt as an adult to get
into contact with the peasants around him. In _The Ignorant
Philosopher_, Voltaire says, "I discovered such a wide difference
between thought and nourishment, without which I should not think
that I believed that there was a substance in me that reasoned and
another substance that digested. Nevertheless, by constantly
endeavoring that we are two, I materially felt that I was only
one: and this contradiction gave me infinite pain. I have asked
some of my own likenesses, who cultivate the earth, our common
mother, if they felt that they were two? If they had discovered
by their philosophy that they possessed within them an immortal
substance . . . acting upon their nerves without touching them,
sent expressly into them six weeks after their conception? They
thought that I was jesting and pursued the cultivation of their
land without making me a reply."
Even so, the ten-year-old, of IQ 175, wishes to discuss with his
"own likenesses" the events of medieval history, but he finds that
they make him "no reply." And if he persists, they become annoyed,
hurling at him the dreadful epithet, "Perfesser." If he still
persists, they pull his hair, tear his shirt from his back, and
hit him with a beer bottle. (I am speaking of _real_ life.)
Turning now to habits of chicanery, it would be a question for long
and close debate, as to whether a highly gifted leader can ever
live and do his work among the mass of men without developing a
technique of benign chicanery. Many of the great political leaders
have been past masters of benign chicanery, often exploiting
the people for the good of the social order. Perhaps the arts
of benign chicanery are absolutely necessary to a child of highest
intelligence, compelled to find his spiritual way through mass
education. Certain it is that these children learn all sorts of
devious ways to self-preservation. For instance, two of our
pupils of Public School 500 came to us followed by notes from
teachers, saying they were hard-of-hearing. Both of them have
very keen ears, but they had learned not to hear the insupportable
drill on things they had known for years, and in self-defense they
listened so little that their teachers thought them deaf. At Public
School 500 their hearing is good--almost too good!
Guidance in regard to this matter of chicanery is absolutely
necessary. Here we have one of the most delicate of all aspects of
training of a leader. By teaching these children that they should at
all times act with complete candor and straightforwardness, in all
sorts of company, shall we be educating them for self-destruction?
We could spend hours in discussing this. We cannot do much more
here than mention it.
MATTERS OF GENERAL POLICY
I am unwilling to close these remarks without touching upon some
matters of general policy, which go beyond selection and training.
What of those children, gifted for leadership, who through accidents
of fate are without means for the development of their gifts? At
our school we are compelled to witness daily the sight of children
of fine quality, who do not have enough to eat or wear, to say
nothing of having about them beauty or comfort. It is thought by
those who have given no precise attention to the matter that
"bright children will take care of themselves." This is the
routine answer given by foundations established to promote human
welfare, when requests are made for grants to study and meet the
need of such children. The concern of American philanthropy in
the present state of public knowledge is for the chronic dependent,
forever incapable of development. This criticism may be justly
extended to include not only the leaders of philanthropy today, but
political, educational, and other kinds of leaders, who would give
all to the burdens of society and nothing to the burden-bearers.
To such tendencies of those in power today some halt should be
called. For a people to deny its natural aristocracy is a social
error in the broader sense.
Now the truth is that children of great ability are virtually
as helpless as any others under authorities blind to their
exceptionality. It would be an impossibly strong and shrewd
child who could today conduct his own education under the
compulsory school laws; make money to live on and accumulate
funds for his own higher education under the child-labor laws--all
in the first eighteen years of his life. Yet this seems to be what
elderly society has vaguely in mind, when reiterating that "the
bright will take care of themselves."
It is common to refer in this connection to the fact that Mr. John
D. Rockefeller had earned and saved a large sum of money by the
time he was sixteen years old. However, in this day and age Mr.
Rockefeller would have been arrested on the double charge of
truancy and violation of the child-labor law, and would have
had no savings whatsoever at sixteen years of age. It is shocking
to think of Mr. Rockefeller standing at ten years of age before
the Juvenile Court, but such would be his situation were he a
ten-year-old child _today_ instead of having been such nearly
a hundred years ago. In our day a ten-year-old acquires no merit
by staying out of school and engaging in the egg business. He
acquires, instead, a court summons.
What is needed for the support and development of those children
whom we see before us daily, and who represent scores of others
in the same economic condition, is what we may call a revolving
foundation. By this is meant a fund from which the gifted young
could draw at any age the means for their development, with the
moral (not legal) obligation to repay according to ability to do
so, after twenty years, without interest. By this plan the superior
could invest in themselves; very little money would actually be
spent, because it would come back again, and the nation would
always benefit in ways not now fully foreseeable. The establishment
of a revolving fund for the development of tested children would be
another "new thing under the sun." It would be a great experiment
in social science, now rendered possible for the first time by
inventions and discoveries in the field of child psychology.
[1] _Teachers College Record_, Vol. 39, No. 4 (1938), pages 296-306.
[2] _Teachers College Record_, Vol. 40 (1939). Also reprinted in
_Public Addresses of Leta S. Hollingworth_, Science Press Printing
Company, Lancaster, Pennsylvania; 1940.
[3] The curriculum here described is that organized by Leta S.
Hollingworth and her collaborators in Speyer School, P.S. 500,
Manhattan, for two experimental classes of "rapid learners."
For an early account of this project see "The Founding of Public
School 500," _Teachers College Record_, Vol. 38, No. 2 (November,
1936). Also "What is Going On at Speyer School?" Chapter 21 of
_Public Addresses of Leta S. Hollingworth_, Science Press Printing
Company, Lancaster, Pennsylvania; 1940.
[4] A word coined by the pupils.
CHAPTER TWENTY-TWO
PROBLEMS OF RELATIONSHIP BETWEEN ELEMENTARY AND SECONDARY SCHOOLS
IN THE CASE OF HIGHLY INTELLIGENT PUPILS
An address before the National Committee on Coördination
of Secondary Education at a symposium on "The Education of
Pupils of High Intelligence," Cleveland, February 27, 1939 [1]
I shall not dwell here upon the present knowledge of gifted
children as organisms. Our findings in follow-up studies on
tested children in New York City confirm in all particulars
Professor Terman's researches on the Pacific coast. Since these
several studies have been carried on in complete independence, one
in the East, the other in the West, for nearly twenty years, we may
certainly feel justified in the conclusion that we are arriving
at truth about the mental and physical traits and development of
highly intelligent persons, coming as we do to the same results.
My remarks here will deal, rather, with certain problems of the
_education_ of the highly intelligent. I may say at the outset
that my direct contacts with the education of gifted pupils have
all been on the level of the elementary school. I consider that
the problems are most urgent on this level, because it is in the
primary and elementary school that the very intelligent child
most especially needs a supplement to the standard curriculum.
The program of progress through the elementary grades is based
on what pupils at, or only very slightly above, the average can
master at given ages, so that the extremely intelligent child
has little or nothing to do there. His interest is not engaged,
and his power is not challenged. The situation of such children
has been well exemplified in a recent biography [2] which sets
forth the sense of futility from which many of them suffer at
school in the early years.
When the child reaches senior high school, however, the case is
somewhat different. The college preparatory course of the secondary
school was originated with and for pupils of college caliber.
It is therefore based on what very intelligent adolescents, and
they only, can learn. Hence it offers to the pupil at and above
130 IQ (S-B) tasks of sufficient interest and difficulty to
engage his powers of learning.
Laying aside, for purposes of the moment, argument as to whether
the content of the college preparatory course is what it should
be from all angles, we maintain that it is sufficiently abstract,
complex, and difficult to operate as an intellectual stimulus
for quite highly intelligent adolescents. I shall return to this
point later, raising it here merely to explain why it has seemed
to me especially important to work in the elementary school.
One cannot work for long in the elementary school, however, without
becoming involved in research which has to do with the secondary
school. There are many problems of coördination that require for
their adequate study the joint efforts of both elementary and
secondary school. We are currently trying to find answers to these
problems at Public School 500, Manhattan, for we shall begin
sending pupils from there to the senior high schools in June, 1939.
THE ELEMENTARY SCHOOL
For some years, beginning about 1918, experimentation has been
sporadically undertaken in New York City on the initiative of
individual principals to find out what should be done in the
elementary school for highly intelligent children. It was not,
however, until January, 1936, that the Board of Education itself
took official action in cognizance of the presence of these pupils
in the school system. On January 28, 1936, Public School 500,
Manhattan (Speyer School, [3] was founded by formal action of the
Board of Education and Teachers College, jointly, for the study
of intellectual deviates, other than the feeble-minded, in the
elementary school.
Two classes for rapid learners were included in the setup of this
school, to accommodate twenty-five pupils each. These classes have
now (1939) been in progress for three years. Their chief purpose
has been to find experimentally and to establish a curriculum that
would provide a genuine education for children of mental calibers
above 130 IQ (S-B); an education that would extend their minds and
interest them in the interests of society during the years of the
elementary school.
Pupils were selected for this experiment on the basis of three
criteria: (1) they must test at or above 130 IQ (S-B); (2) they
must be at least 7 years 0 months old, and at most 9 years 6 months
old; (3) they must be representative as a group of the various
ethnic stocks composing the population of New York City. This
constitutes what we consider a perfectly democratic selection.
Nothing "counts" toward selection except the tested quality
of the pupil himself.
The organization is that of an 8B elementary school, designed
to run for five years as an experiment. Promotion to the ninth
grade of the senior high schools at the age of 13 years was
planned for our pupils. The school also includes seven classes
for slow learners (IQ 75-90), the pupils of which mingle freely
with those of the rapid learner classes except for purposes
of classroom instruction.
The teachers were selected from a long list of applicants for the
posts among licensed elementary-school teachers of New York City.
Criteria for selection rested on personality, degree of education,
and desire to undertake experimental work.
Enrichment of the curriculum has been going forward for three
years. Pupils at and above 130 [IQ] (S-B) need, on the average,
about one half of their time in the elementary school for mastering
the standard curriculum set up for "all the children." "Mastering"
here means not "passing" with a mark of 65 per cent, but genuine
_mastery_ with marks of 90 per cent and above.
In the half day thus left to spare, an enrichment curriculum
has been pursued, which has elsewhere been described in some
detail. [4] The chief features of this enrichment curriculum
are a series of units, one each term in each class, on "The
Evolution of Common Things" and the French language and literature.
TRANSITION FROM ELEMENTARY TO SECONDARY SCHOOL
The time comes when pupils thus selected and educated are to
pass to the ninth grade of the senior high school. At this point
questions arise which call urgently for discussion as a joint
responsibility of both elementary and secondary schools. Some of
these questions are as follows:
1. Why is 13 years to be chosen as the optimum age for the
transition?
2. Why is junior high school omitted from the picture?
3. What ceremony, if any, should mark the transition to senior
high school?
4. What items of cumulative record should accompany the pupil
as he or she enters high school?
5. What differences are there in the demands of high school,
as compared with the elementary school, which would affect the
minimum IQ at which enrichment is needed in the high school?
Is enrichment needed in the high school at 130 IQ (S-B)?
6. The point at which enrichment begins to be needed having been
determined experimentally, how should the secondary school organize
to provide a genuine education for pupils at and above that level?
7. Assuming an enrichment program for pupils above 150 IQ (S-B)
desirable or imperatively necessary in high schools, what matters
shall be agreed upon to enter into the curriculum?
8. Shall we guide all of our highly intelligent elementary-school
pupils into the college preparatory courses? Or shall some of them
be so guided that they will end high school without the "credits"
for college?
9. What can and should public schools do for those few pupils
who test at or above 170 IQ (S-B), for whom no experimental
work so far done is of much real effect, either in elementary
or secondary school?
CONSIDERATION OF THE QUESTIONS ARISING
Not all the foregoing questions proposed can be fully discussed
here. Whatever is said, however, is an outgrowth of our own
professional observations, extending over the past seventeen
years. In particular these observations result from the current
obligation at Public School 500, Manhattan (Speyer School), to
promote to senior high school our first group of children now
reaching the thirteenth birthday.
It is obvious that we have to determine upon _an age_ for promotion
to the senior high school. This must take into consideration "the
whole child." We cannot isolate the intellect for this purpose.
"Body, mind, and soul" must pass as a unit to secondary school.
The brightest of our pupils were fully ready for the scholastic
work of the ninth grade when they were 8 years old; several others,
when they were 10 years old. Ability to "pass examinations" set for
8B pupils cannot, therefore, reasonably become our criterion for
promoting these children, unless we wish to assume responsibility
for placing prepubescent, 8-, 9- and 10-year-old children in a
scholastic milieu that is determined by the physical size and
social maturity of adolescents.
After much discussion, we fixed upon 13 years as the age for
transition to senior high school. We came to this largely as
a result of our pooled professional experience, but not wholly
on that basis. We gave considerable weight to the follow-up study
of pupils identified in 1922, and kept together for three years
in special classes at Public School 165, Manhattan. [5] There
were 56 of these children whom we promoted to the ninth grade
at an average age of 11 years; and the high-school careers of all
of them were followed through sixteen different high schools. [6]
In the course of this follow-up, the question was repeatedly
asked, "What would be the best age to enter the ninth grade?"
Sixty per cent of these pupils gave 13 years as the "best age"
to enter high school, and twenty-six per cent gave 14 years or
older. Only one child gave an age younger than 12 years as optimum
for entering high school. This group, as a whole, would have
preferred to enter the ninth grade at an age older than that at
which they entered, and gave cogent reasons for the preference
during their high-school careers.
These ideas persisted through the college careers, especially
among the boys, many of whom felt they were misplaced in college
at 15 years of age. Entering high school near the thirteenth
birthday, a child saves time, and yet is not made subject to the
tensions which may result from trying to meet social and physical
requirements for which he is too immature.
Junior high school is omitted from the picture as ours was a
five-year plan. Such a plan of curriculum enrichment as ours fits
best into the 8B setup, for such a program cannot be supervised
if the pupils are scattered and the situation made subject to the
transition from 6B to junior high school. In the metropolitan
situation it is not feasible to take the pupils for special
classes until they are at least 7 years old. The infrequency
of their occurrence makes it necessary to assemble them from
several districts, and they are not mature enough to come from
a distance when they are 6 years of age. Parents cannot assume the
burden of accompanying them twice a day. Our pupils were 8 years
old, on the median, when they entered our rapid learner classes.
We have found it feasible to organize classes for 8-year-olds, give
them a five-year program of special studies, and have them fully
ready for senior high school at 13 years of age. This plan has
worked out well, whereas, if we had had to consider a transition
to the junior high school in the midst of our work, difficulties
would have arisen, and it is not clear how our program could have
been carried out at all. However, a field for _experimentation_
lies here for those who would be predisposed to favor the
junior-high-school plan of school organization.
We decided that no ceremony of graduation should mark the promotion
to senior high school. Our pupils will make the transition not
in a body, but a few at a time at the end of each term. Some
informal social event may take place, but no ceremony of graduation
as such.
The question, "What items of cumulative record should accompany
each child from the elementary school?" is one requiring much
study. Here we are working quite experimentally. The public schools
of Altoona, Elkins Park, and Fort Wayne, Pennsylvania, are reported
to have formulated a cumulative record card for rapid learners,
which we hope later to consult. The records of mental tests,
the record of scholastic-achievement tests, and a statement of
teachers' ratings on a variety of character traits should no doubt
be included with the health record and attendance record in the
elementary school.
Ideally, the secondary school should receive these pupils already
tested mentally, with cumulative records; but, since in the
existing state of affairs this is not possible, because such
tests have not been generally made, the high schools are wondering
what methods to use in selecting the highly intelligent as they
arrive, in the ordinary course of events, for admission.
We must agree that we have, in fact, no method at present generally
available of distributing the top percentile of the adolescent
population. The Army Alpha, which strictly speaking pertains to
adults, is no doubt the most nearly appropriate instrument we have
for distributing the top one per cent of adolescents. No other
group test has sufficient "top" for this purpose, and no individual
test has a "ceiling" high enough to prevent the best from "going
through." Two forms of Army Alpha combined will give as good an
approximation as is at present available to a correct distribution
of adolescents at and above 130 IQ (S-B).
There exist tests of scholastic aptitude which pertain to
adolescents of college caliber, but these are not generally
available, being limited to the organizations which make specific
use of them.
From observations of the progress of highly intelligent children
tested at an early age, I offer the hypothesis that pupils of 130
to 150 IQ (S-B) have quite enough to do in the truly efficient
pursuit of the college preparatory curriculum of the senior high
schools, and do not need any enrichment of this curriculum as far
as challenge to ability is concerned. What these pupils need is
merely freedom from the presence of great masses of classmates
who are mentally unadapted to the college preparatory course, and
the opportunity to work unhampered, in segregated groups, such as
are now being formed in many secondary schools under the concept
of _the honor school_.
Pupils above 150 IQ (S-B) are, however, probably in definite
need of an enrichment of even the college preparatory course
as it exists currently in senior high schools. If experimental
observation should prove this hypothesis to be true, how should
the secondary school set about it to provide for the genuine
education of such pupils? Should the huge high schools of a great
city, like New York, organize an enrichment curriculum within
the honor schools for these extreme deviates? Should honor schools
have faculties proper to them only? Assuming an enrichment program
for pupils above 150 IQ (S-B) to be found desirable or necessary in
secondary school, what matters shall find place in such a curriculum?
The answers to these questions cannot be stated from the swivel
chair or the arm chair. Years of realistic hard and intelligent
work will have to be done, by way of experiment with various
groups of adolescents. As regards the question pertaining to
enrichment of curriculum, I dare offer the suggestion that there
are "common things" the evolution of which would be more properly
worked out at the adolescent level than at the level of childhood
by highly intelligent pupils. Thus at Public School 500, Manhattan
(Speyer School), we often find ourselves wishing that we might
have our pupils at adolescence in order to take up with them the
evolution of law and order, of trade and money, of warfare, of
punishment, and many other things concerning which no systematic
instruction is ever given outside of professional schools.
One may suggest that in the elementary school the enrichment
curriculum might proceed by covering the evolution of "common
things" which are concrete, as we have been doing, leaving for the
secondary school those "common things" which are relatively
abstract and involve especially concepts of social-economic
consequence.
It is to be considered, also, that each of these pupils, at and
above 150 IQ (S-B), would have the capacity to master a manual
trade, in addition to mastering a profession, if time were allowed
during adolescence. At 13 years of age, the hand then being
developed, such pupils might be trained for skilled trades,
in their spare time, as an enrichment of curriculum. In a changing
world it is perhaps a good thing for those who are capable of
_both_ profession and skilled manual craft to have _both_ at
their service as adults, and to be capable of serving society
and themselves in more than one specialized vocation, as was and
is actually the case with many able Americans, reared and educated
under pioneering conditions of the nineteenth century and earlier.
To this point we have been speaking of enrichments accompanying
and supplementing the college preparatory course for pupils testing
above 150 IQ (S-B). But shall we guide _all_ our highly intelligent
pupils into college preparatory courses? Or shall some of them be
positively guided so that they will end high school without the
"credits" for college? Shall all whose circumstances tend to force
them into vocational high schools be allowed to drift in that
direction? Here is a question of fundamental importance for
society, which at this moment we hardly know enough to raise,
much less answer. Only one in every hundred tests at or above
130 IQ (S-B). What does society most _need_ from this little
handful of persons? These can perform socially desired functions
which none of the other ninety and nine can possibly perform.
They can be educated in ways which are forever out of the reach
of all who test below them. What should we, as educators, the
publicly appointed guardians of their intellectual lives, do
with these children for their own and society's best interests?
There is no more serious question than this in all education. How
shall a democracy educate the most educable? At present these
children are to a great extent lost in the vast enterprises of
mass education, and are left to handle their special problems
as they may, by themselves, while the energies of teachers are
bent upon the main business of dealing with the ninety-nine per
cent who test below 130 IQ (S-B). Common sense would tell us that
a child who tests as far above the average as a feeble-minded
child tests below cannot escape having special problems under
conditions of mass education. We cannot go into this matter
in detail here. These problems have been set forth in another
place. [7] It is for us to consider them carefully, for educators
are the sole group appointed by society to guard the interests
of children. We are their official guardians, adding our guidance
to that of their natural guardians, parents, who are often helpless
either to recognize these children's abilities or to develop them.
WHAT ABOUT GENIUS?
We come finally to what may be the most important point of all--the
point to where we inquire into the responsibility of the public
schools for children who are as far above those of 130 IQ (S-B) as
the latter are above 100 IQ (S-B). I refer to those very rarely
occurring pupils who test at or above 170 IQ (S-B). These children
are important for civilization in inverse ratio to their infrequency
of occurrence. They are the ones who can not only _conserve_
thought in its abstract reaches, but who can _originate_ new
thoughts, new inventions, new patterns, and who can solve problems.
When, about twenty years ago, Terman [8] began to attempt
classifications of high deviates, on the basis of IQ, he called
140 IQ (S-B) "genius or near genius." The intervening years have
proved that this idea must be revised. Seniors in many of our
first-rate colleges test at a median of 140 IQ (S-B) or even
higher, and about a quarter of _all_ college graduates test
at or above this level.
That point in the distribution of IQ where mental products
suggestive of genius, as defined by lexicographers, begin to
appear, seems to be as far above 140 IQ as 140 IQ is above average.
Somewhere between 170 and 180 IQ (S-B) we begin to see merging
in early adulthood that "highly unusual power of invention or
origination," that "original creative power, frequently working
through the imagination," which is ordinarily called "genius." [9]
This element in our juvenile population, so significant and so
rarely found, passes unrecognized at present through the public
schools. We have not even commenced to evolve an education suitable
for a child who at 9 or 10 years of age is able to think on
a college level. The idea that such children exist at all is even
laughed at to scorn by teachers and principals who have a quarter
of a century of "experience" behind them. These children have
no way of making themselves known. The _mental tests_ make them
known. They become known only to those educators who "believe
in" mental tests.
The most interesting problem in education is to discover how
these children, testing above 170 IQ (S-B) can and should be
educated; to devise ways and means whereby these far deviates
may get the full use of their abilities in school and society,
especially when they have no money. The concept of democracy
on which the United States was founded is one of equality of
opportunity. The intention of our educational policy is that every
child should have a chance to develop as his natural abilities may
entitle him to do, all artificial distinctions being eliminated.
Now at last psychological science has provided an effective
instrument for achieving this democracy in education, namely
the mental test, by means of which a child may be recognized
for his own ability, regardless of age, sex, race, creed, or
economic condition.
How shall we as educators utilize this instrument of genuine
democracy? How shall we proceed under conditions in which the
founding fathers are now mistaken by many citizens to have
proclaimed and promised biological equality!
Perhaps we should take another leaf from the book of the French
Republic, where the delusion of biological equality has always
been successfully avoided; where the State continually reviews
its attempt to secure equality of opportunity by explicit efforts
to find and foster the natural élite, and to know where the gifted
are located in the French population. [11]
We may also consider the Belgian policies, with regard to subsidy
of the gifted, [12] "Ce principe fondamental: Que chaque enfant,
quelle que soit la situation de fortune des parents, soit mis en
état d'acquérir par l'instruction tout le développement intellectuel
et professionnel dont il est capable."
All the questions here raised call for definite answers _at the
present time_. Such questions could not be effectively raised
prior to the twentieth century, because psychologists had not
previously advanced to a point of supplying a scientific method of
determining intelligence in childhood. It is the most significant
contribution of psychology to education, in this century--and
perhaps in all centuries--that we are now enabled to know the
mental caliber of a human being in his early years.
More and more it becomes clear that human welfare on the whole
is much more a matter of the activities of _deviates_ than it is
a matter of what the middle mass of persons does. Those educators
who make a joke of the genius and regard the dullard as a mere
figment of the imagination of psychologists, or who solve the
educational problems which these children present by the simple
device of "not believing in" them, fiddle while Rome burns. It
is the deviate who takes the initiative and plays the primary part
in social determination. How shall we, then, educate him in
a democracy?
[1] Reprinted from _The Journal of Educational Sociology_ (October,
1939), pages 90-102.
[2] Bridgman, Amy S. _My Valuable Time: The Story of Paul Bridgman
Boyd_. (109 pages.) Stephen Daye Press, Brattleboro, Vermont; 1938.
[3] Hollingworth, Leta S. "The Founding of Public School 500:
Speyer School," _Teachers College Record_, Vol. 37 (November,
1936), pages 119-128.
[4] Hollingworth, Leta S. "An Enrichment Curriculum for Rapid
Learners at Public School 500: Speyer School," _Teachers College
Record_, Vol. 39 (January, 1938), Pages 296-306. See also Chapter
21 of this book.
[5] Lamson, E. E. "A Study of Young Gifted Children in Senior
High School." _Contributions to Education_ No. 424 (117 pages).
Bureau of Publications, Teachers College, Columbia University,
New York; 1930.
[6] Lamson, E. E. "High School Achievement of Fifty-Six Gifted
Children." _Journal of Genetic Psychology_, Vol. 47 (1935),
pages 233-238.
[7] Hollingworth, Leta S. "The Child of Very Superior Intelligence
as a Special Problem in Social Adjustment." _Proceedings_ of the
First International Congress on Mental Hygiene, Vol. II, pages
47-69. The International Committee for Mental Hygiene, Inc., New
York; 1932.
[8] Terman, Lewis M. _The Measurement of Intelligence_ (362
pages). Houghton Mifflin Company, Boston; 1916. Also, Terman,
Lewis M. _Genetic Studies of Genius_, Vol. I (663 pages). Stanford
University Press, Stanford University, California; 1925.
[9] Webster's New International Dictionary, 1935.
[10] Butler, Nicholas Murray. "Is Thomas Jefferson the Forgotten
Man?" Address delivered at the Parrish Art Museum, Southampton,
September 1, 1935. Published at 405 West 117th Street, New York.
[11] Bouglé, C. _Enquêtes sur le Baccalauréat_. (120 pages.)
Librairie Hachette, Paris; 1935.
[12] Bauwens, Léon. _Fonds des mieux doués_. (Cinquième édition,
77 pages.) Librairie Albert Dewit, Bruxelles; 1927.
End of the Project Gutenberg EBook of Children Above 180 IQ Stanford-Binet, by
Leta Stetter Hollingworth
*** END OF THE PROJECT GUTENBERG EBOOK 47403 ***
|