MILNE'S NEW YORK STATE ARITHMETIC SECOND BOOK BY WILLIAM J. MILNE, Ph.D., LL.D. PRESIDENT OF NEW YORK STATE COLLEGE FOR TEACHERS ALBANY, N. Y. AMERICAN BOOK COMPANY NEW YORK CINCINNATI CHICAGO 14. HARVARD COPYRIGHT, 1914, BY WILLIAM J. MILNE. COPYRIGHT, 1914, IN GREat Britain. N. Y. STATE ARITHMETIC, SECOND BOOK. E. P. 5 PREFACE THIS series of arithmetics has been written to supply the demand for a sound and modern interpretation of present-day educational ideas concerning the teaching of arithmetic. It is intended especially to meet the need for a definite and complete interpretation of the Course of Study in Arithmetic prescribed by the Education Department of the State of New York. The series consists of two books. The "First Book" for years three, four, and five, is divided into half-year units, but within each half year the treatment is topical. The "Second Book" is a complete topical arithmetic, covering, in order, the Syllabus requirements for years six, seven, and eight. The first two chapters of the "Second Book" are designed to gather up in a compact and comprehensive review so much of the work of the "First Book" as the Syllabus does not mention again in the last three years of the course. The needs of any class about to enter upon the sixth year work will determine whether or not any or all of this part of the book should be used. The next two chapters are review chapters included by the Syllabus in the sixth year. Certain topics not mentioned in the Syllabus are treated where they should logically appear in the body of the book for the benefit of those schools desiring to teach them. They are so arranged, however, that their omission will not impair the sequence of the Syllabus course. Other topics are given in the Appendix. The following features of the book are worthy of attention : 1. The logical, common-sense method of presentation. |