GENERAL AIMS 143 



trained to note what is given, what is asked for. They are 

 led to feel that reading the problem is the first great step 

 in its solution. 



"While the pupils are trained to explain in simple lan- 

 guage the problems given, all the whys and wherefores are 

 not demanded in either the problem work or in such me- 

 chanical processes as ' borrowing ' and ' carrying.' Nor is 

 it considered criminal if pupils fail to be able to apply all 

 the numbers taken up. While applied work and measure- 

 ments are important and are not neglected, the principal 

 aim of the year's work is facility in handling the combina- 

 tions given. Even in the third year something must be 

 left to the growing maturity of the child." 



From the many exercises in arithmetic by pupils of the 

 third grade three are given below. 



I. 



I drew a square one inch on every side. 



I drew two squares. There are two square inches in it. 



I drew a rectangle 4 inches long and 2 inches wide. It 

 is twelve inches around it. There are 8 square inches in 

 the rectangle. 



One square is J of the rectangle. Five squares are f 

 of the rectangle. 



II. 



I have a small square. In my square are four triangles. 

 Each triangle is J of my square. 



III. 



PROBLEMS 



A farmer had 275 horses. He sold 78 of them. He had 

 197 horses left. 



