A scale for measuring the achievements of children in the fundamental operations of addition, subtraction, multiplication, and division has been derived by Dr. Clifford Woody,[21] which differs from the Courtis tests in that it affords opportunity to discover what children can achieve from the simplest problem in each of these fields to a problem which is in each case approximately twice as difficult as the problems appearing on the Courtis tests. The great value of this type of test is in discovering to teachers and to pupils, as well, their particular difficulties. A pupil must be able to do fairly acceptable work in addition before he can solve one problem on the Courtis tests. Considerable facility can be measured on the Woody tests before an ability sufficient to be registered on the Courtis tests has been acquired. In his monograph on the derivation of these tests Mr. Woody gives results which will enable the teacher to compare his class with children already tested in other school systems. In the case of all of these standard tests, school surveys and superintendents' reports are available which will make it possible to institute comparisons among different classes and different school systems. One form of the Woody tests is as follows:

SERIES A ADDITION SCALE BY CLIFFORD WOODY

How to Teach — Part 159

Name...................... When is your next birthday?...... How old will you be?..... Are you a boy or girl?....... In what grade are you?......

How to Teach — Part 159

(1) (3) (5) (7) (9) (10) (11) (12) (13) (15) (16) 2 17 72 3+1= 20 21 32 43 23 100 9 3 2 26 10 33 59 1 25 33 24 -- -- -- 2 35 17 2 16 45 12 30 -- -- 13 -- 201 15 (2) (4) (6) (8) 25 -- 46 19 2 53 60 2+5+1= -- --- -- 4 45 37 (14) 3 -- -- 25+42= --

How to Teach — Part 159

(17) (19) (21) (22) (23) (26) (29) 199 $ .75 $8.00 547 1/3+1/3= 121/2 4 3/4 194 1.25 5.75 197 621/2 2 1/4 295 .49 2.33 685 (24) 121/2 5 1/4 156 ----- 4.16 678 4.0125 371/2 ----- --- .94 456 1.5907 --- 6.32 393 4.10 (30) (18) (20) ----- 525 8.673 (27) 2 1/2 2563 $12.50 240 ------ 1/8+1/4+1/2= 6 3/8 1387 16.75 152 3 3/4 4954 15.75 --- ----- 2065 ------ (25) (28) ---- 3/8+5/8+7/8+1/8= 3/4+1/4=

(31) (33) (34) (35) (36) (37) 113.46 .49 1/6+3/8= 2ft. 6in. 2yr. 5mo. 16 1/3 49.6097 .28 3ft. 5in. 3yr. 6mo. 12 1/8 19.9 .63 4ft. 9in. 4yr. 9mo. 21 1/2 9.87 .95 --------- 5yr. 2mo. 32 3/4 .0086 1.69 6yr. 7mo. ------ 18.253 .22 --------- 6.04 .33 -------- .36 (38) 1.01 25.091+100.4+25+98.28+19.3614= (32) .56 3/4+1/2+1/4= .88 .75 .56 1.10 .18 .56 ----