32 THE UNIVERSITY OF OKLAHOMA 



cribed by Sudboroughf, and the amount of mono and diacylated 

 tJ. Chem. Soc, 79, 533 (1901) 

 derivative determined in each case. 



Base Mol. wt. of Monoacetyl 



derivative 

 38.5 

 45.1 

 85.5 

 34.6 

 When the amounts of diacetylderivative obtained 

 bases containing acid-forming substitutents m the para position are 

 compared with the amount obtained from aniline (wliich is unsub- 

 stituted) it is seen that : 



(a) The presence of acid-forming substituents in the para 

 position retards the reaction. 



(b) The retardation cannot be due to steric hindrance 

 wholly, because the increase in retardation is not in accord with 

 the increase in the molecular weight of the substituent. Compari- 

 son of the bromine and nitro substituted compounds brings out 

 this difference strikingly. 



(c) The effect must be due chiefly to the chemical charac- 

 ter of the substituent. 



ENGLISH EXPERIENCES IN TEACHING THE 

 CALCULUS TO TRADE SCHOOL STUDENTS 



A. Press, 1916. 

 (Abstract; 



Of the two sides of mathematics, the logical and the utili- 

 tarian, the academic education, having in view cultural aims, em- 

 phasizes the first. However, modern process of industry and 

 mechanical arts is in a large measure due to successful applica- 

 tions of mathematics. This makes it necessary that for strictly 

 practical purposes the methods and concrete results of this 

 science should be put within reach of students of the trade schools. 

 But these students have neither the time nor the intellectual ma- 

 urity to go into the philosophical foundations or to follow the 

 logical structure of mathematics. Hence the movement, lead in 

 England by Prof. Perry, to teach mathematics, including the cal- 

 culus, in a concrete, experimental way, was introducted. The re- 

 sults of such attempts seem to be encouraging. The paper con- 

 tains some illustrations of this method of teaching the calculus. 



