MAIN LINES OF MATHEMATICS — COOPER 335 



ence and in mathematics itself. Mathematical training should be 

 directed to building up an ability to form an intuitive grasp of such 

 structures— intuitions of geometric space, of number, of algebraic re- 

 lations, and so on; the mechanical side of mathematics, the purely 

 linguistic side, that is the ability to read notation, are important, but 

 should not be stressed at the expense of understanding. 



Reprints of the various articles in this Report may be obtained, as long as 

 the supply lasts, on request addressed to the Editorial and Publications 

 Division, Smithsonian Institution, Washington 25, D.C. 



