PROGRESSIVE ARITHMETIC COMPLETE BY WILLIAM J. MILNE, PH.D., LL.D. PRESIDENT OF NEW YORK STATE NORMAL COLLEGE, ALBANY, N.Y DEPARTMENT OF EDUCATION RECEIVED JAN 2.6 1911 LELAND STANFORD NEW YORK.:. CINCINNATI .:. CHICAGO PREFACE THE Progressive Complete Arithmetic is designed to cover in a single volume the work in arithmetic usually given to pupils during the last four years of their school course, thus forming with the First Book of the author's Progressive Series a complete course in elementary arithmetic. The book is divided into four parts, each containing the work intended for a year. It begins with a brief but comprehensive review of the work of the first four years, preparing the pupils to enter upon the study of the new topics with intelligence and ease. Reviews in various forms are, indeed, a feature of the book. Each part, like the first, begins with a thorough review of everything that has preceded, and at various places throughout the book are series of practical problems designed to apply in the most varied form the principles that have been taught. In addition to these general reviews, each advanced step in any topic is preceded by a brief résumé of the concepts already acquired, so that the pupil may attain and retain a comprehensive grasp of the whole. Great care has been expended on the method of presenting the various principles and on the solutions, with the aim of making them in the highest degree clear, concise, accurate, and practical. The author holds to his idea of properly developing definitions, principles, and all new concepts. This has been a marked feature of all the books he has ever prepared and the main cause of their great success. 3 |