Haggerty: Studies in Arithmetic 



97 



All per cents are based on the average of the group considered. 

 In part of the tables both ^'attempts" and ''rights" are con- 

 sidered and tabulated separately for test six which is made up of 

 one-step reasoning problems, test seven which is made up of 

 longer examples in the fundamentals, and test eight in which 

 the work is two-step reasoning. Courtis states that it is not 

 necessary in tests one to five, inclusive, which deal with very 

 small numbers used in the fundamental operations and the 

 copying of figures, to compute the number of examples that are 

 right, inasmuch as the child's abihty is shown just as adequately 

 by his speed. 



TABLE II.— PER CENTS GAINED IN THE SECOND TEST BY 

 EACH CLASS OVER THE SCORES MADE ON FIRST TEST 



Items of Test 



Grade 

 5 



Grade 

 6E 



Grade 

 6W 



Grade 

 7 



Grade 

 8 



1. 



Addition 



4.7 



10.4 



11.6 



11.1 



11.2 



2. 





6.6 



25.0 



22.8 



11.4 



11. 1 



3. 





3.1 



11.9 



24.5 



12.1 



10.9 



4. 



Division 



53.4 



25.0 



54.9 



11.4 



11.1 



5. 





36.9 



20.4 



43.3 



11.1 



10.8 





Attempts 



-1.0 



43.3 



48.2 



12. 1 



12.1 



"■1 



^Rights 



48.6 



82.2 



72.0 



16.3 



13.5 





^Attempts 



12.9 



11.9 



5.0 



11.2 



10.6 





^Rights 



3.9 



3.8 



13.0 



11.3 



12.0 







42.2 



74.6 



81.6 



17.8 



16.8 







3.8 



68.6 



132.1 



16.6 



95.0 



TABLE IIL— GAIN IN PER CENTS SHOWN BY AVERAGES OF 

 SCORES MADE IN THIRD SERIES OF TESTS OVER AVERAGES 

 MADE IN SECOND SERIES 







Grade 



Grade 



Grade 



Grade 





Items of Test 



6E 



6W 



7 



8 



1. 





9.3 



3.7 



1.7 



11.5 



2. 



Subtraction 



14.9 



6.2 



3.2 



11.7 



3. 



Multiplication 



8.4 



18.2 



— 2.6 



14.4 



4. 



Division 



18.4 



7.4 



7.4 



15.5 



5. 



Copying figures 



— .8 



.0 



—3.9 



17.2 



-\ 



'Attempts 



20.7 



22.6 



18.3 



6.0 





, Rights 



18.8 



16.0 



25.3 



3.5 





''Attempts 



6.6 



2.7 



2.7 



8.5 





^Rights 



19.6 



3.3 



15.4 



18.4 





'Attempts 



1.4 



11.7 



20.0 



—5.6 









5.1 



12.8 



—5.1 



