^lro*t' ^(AA^Ctx^el- A ARITHMETIC BULLETIN No. I. Scientific Measurements of Arithmetical Abilities in Boston Public Schools- JANUARY, 1914. <^^^— , G^tUV^^.^,,^ ^, »y Compliments of Courtis Standard Tests. CITY OF BOSTON PRINTING DEPARTMENT 1914 L6i5"S1 a 3 The following statistics are the • results of Courtis Standard Tests applied in thirty-five Boston Elementary School Districts. The tests were given and the computations made by senior students of the Boston Normal School; the scoring was done by the regular class teachers. The work was organized and directed by Rose A. Carrigan. 5.-^^ .:::^- iij Total number of districts tested 35 Total number of buildings in which tests were given . . 72 Total number of classes tested 525 Grades tested: IV 119 V 118 VI 112 VII 108 VIII. ........ 91 Pre-vocational, not classified .... 3 Ungraded, not classified 2 Total number of grades tested 553 Total number of children tested 20,646 TYPES OF EXAMPLES USED IN THE TEST.* Addition (time allowed, 8 minutes) 572 253 948 529 936 223 358 » . 676 122 Subtraction (time allowed, 4 minutes) .... 121961783 90492726 Multiplication (time allowed, 6 minutes), 7942 8736 6837 72 502 680 Division (time allowed, 8 minutes) . . . . 49 2 8420 Series A, Test 7, not Recorded in this Bulletin. * Courtis Standard Tests, Series B, used. Above examples taken from Form 1. 313645 GRADE STANDARDS FOR 1914. ' Tentative Standards in Number of Examples * Attempted. Grades. IV. V. VI. VII. 6 7 9 10 6 8 9 10 4 6 7 8 3 5 6 7 VIII. Test 1, Attempts Test 2, Attempts Test 3, Attempts Test 4, Attempts 11 12 9 9 Established Standard in Number of Examples Right. Accuracy 100% in all Tests. Note. — Teachers are urged in every case to aim for 100%. AVERAGE MEDIANS ATTAINED BY EACH GRADE IN THE 35 SCHOOL DISTRICTS TESTED. Grades. IV. V. VI. VII. 5.8 7.1 8.5 9.6 2.8 3.6 4.7 5.6 5.6 7.5 9.1 10.2 2.7 4.5 6.5 7.3 4.2 5.7 6.9 8.1 1.6 3.3 4.5 5.1 2.9 4.5 6.0 7.3 .6 2.1 3.8 5.1 Test 1, Test 1, Test 2, Test 2, Test 3, Test 3, Test 4, Test 4, Attempts . Rights Attempts . Rights Attempts . Rights Attempts . Rights 11.2 7.3 11.6 8.7 9.4 6.6 9.0 7.1 ♦ In all the testing work the word "Attempts " is used to mean complete answers. A partial answer is not counted as an example attempted. Ranges in the Class Medians f Attained in Each Grade. Grades. IV. V. VI. VII. VIII. Test 1, Attempts. Test 1, Rights. . . Test 2, Attempts . Test 2, Rights. . . Test 3, Attempts . Tests, Rights. . . Test 4, Attempts . Test 4, Rights. . . * 3.6— 8.7 .8— 7.0 3.7—10.8 .5— 6.5 1.6— 6.5 .5— 3.8 .5— 6.0 .5— 2.5 4.0—10.4 1.3— 7.0 3.8—10.3 1.2— 8.2 3.7— 8.4 .7— 5.4 1.9— 9.6 .5— 4.8 3.4—15.0 .5—11.0 5.0—12.3 3.0—10.3 4.9— 9.5 2.0— 7.5 2.5— 9.7 .8— 7.3 3.5—14.2 1.4—11.0 6.0—16.0 3.8—14.3 5.0—12.9 1.9— 9.2 4.2—10.5 1.7— 9.0 5.7—19.0 4.0—11.4 5.5—21.8 3.0—17.3 7.0—15.5 2.3—10.8 3.6—15.0 1.6—12.7 * This means that the lowest class median in all the fourth grades tested was 3.6, while the highest class median in all the fourth grades tested reached 8.7. Notice the wide difference in median ability shown in the respective classes of each grade, for example, addition in the eighth grade. t The median is the mid point of class achievement. Above it and below it are an equal number of individual scores. Ranges in the Per Cents of * Variability. Grades. IV. V. VI. VII. VIII. Test 1, Attempts. Test 1, Rights..., Test 2, Attempts. Test 2, Rights. . . , Test 3, Attempts . Tests, Rights..., Test 4, Attempts . Test 4, Rights... 11— 47 10—100 17—100 18—100 24—100 13—100 26—100 13—100 15—100 24—100 12—100 12—100 16—100 12—100 19—100 13—100 12— 41 18—100 9— 64 16— 96 11— 49 17—100 18—100 16—100 10—40 22—79 10—38 15—75 10—43 17—91 12—84 13—95 10—37 14—67 8—43 18—78 10—46 18—75 12—57 15—74 * Not more than 10% of variability in a class is considered desirable in this work on fundamentals. Defective children should be segregated. 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S? 6? ^ 65 ' fe? -S o o o c o H ^ •o N ■«t M n N N « p< e N Tt ^ Ov C .o • CT CC IN 90 c o (N (>. c »— o M ■* vO t— o CC Tf ■n c c TO o 00 IN ■fl' K ^ B IN IN wj C IN TO TO O "^ ^ •<! W pi IN TO TO in M to IN «M •^ C CC 00 Z "" IN g iJ n o fa o © TO (N C Tl IN M "" ""^ 3 IN CT »■ CC TO C CC •<J< S C' T N M » o 00 s IN CC C ■* ■* (N a Tl 05 tN CM ir a (N in IN c oc C CO CC IN ■* 00 ■* oc ■* ■<t c t^ US TO c ir 11- ■>!■ ;=! ^' TO c c a- t^ in u; CC <~ <N c c CC CC IN ^ o t- Irt TO or . t^ c >* 1> TO CD Tt o- IT ^ -' t^ CO IN TO oc 05 c< Ci OC CC IN O CD IN o- oc or © IN l> t^ TO in m & IS o ■* >o CO t» 00 J ^ o m -s 0) ^ o o o O o II i* UNIVERSITY OF CALIFORNIA LIBRARY UNIVERSITY OF CALIFORNIA LIBRARY, BERKELEY THIS BOOK IS DUE ON THE LAST DATE STAMPED BELOW Books not returned on time are subject to a fine of 50c per volume after the third day overdue, increasing to $1.00 per volume after the sixth day. 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