MILNE'S PROGRESSIVE 

 ARITHMETICS 



By WILLIAM J. MILNE, Ph.D., LL.D., President of 

 New York State Normal College, Albany, N. Y. 



THREE BOOK SERIES 



First Book $-35 



Second Book 40 



Third Book 45 



TWO BOOK. SERIES 

 First Book. .... $0.35 

 Complete Book . . . .65 



IN these series the best modern methods of instruction have 

 been combined with those older features which gave the 

 author's previous arithmetics such marvelous popularity. 

 ^| Built upon a definite pedagogical plan, these books teach 

 the processes of arithmetic in such a way as to develop the 

 reasoning faculties, and to train the power of rapid, accurate, 

 and skillful manipulation of numbers. The inductive method 

 is applied, leading the pupils to discover truths for them- 

 selves ; but it is supplemented by model solutions and careful 

 explanations of each step. 



^| Each new topic is first carefully developed, and then en- 

 forced by sufficient practice to fix it thoroughly in the mind. 

 The problems, which have been framed with the greatest care, 

 relate to a wide range of subjects drawn from modern life and 

 industries. Reviews in various forms are a marked feature. 

 Usefulness is the keynote. 



^j In the First and Second Books the amount of work that 

 may be accomplished in a half year is taken as the unit of 

 classification, and the various subjects are treated topically, 

 each being preceded by a brief resume of the concepts 

 already acquired. In the Third Book the purely topical 

 method is used in order to give the pupil a coherent 

 knowledge of each subject. The Complete Book covers 

 the work usually given to pupils during the last four years 

 of school. 



AMERICAN BOOK COMPANY 



(57) 



