This book presents the elements of arithmetic in a progressive three-year course. It is designed for pupils who have received some oral training in number, and have thus been prepared to use a book with advantage. The introductory oral course is fully presented in the authors Oral Lessons inN umber, Part One presents a progressive series of exercises in elementary processes with small numbers. It aims to secure accuracy and skill, and, to this end, it combines in a natural manner the inverse processes of addition and subtraction, and of multiplication and division. These progressive elementary lessons may easily be mastered by third-year pupils. Part Two is devoted to the elementary processes unth larger integral numbers and the written processes are more fully developed. The special aim is to secure accuracy and rapidity in fundamental processes. Great pains have been taken to adapt the exercises and problems to the capability of fourth-year pupils. But few definitions and principles are presented, and these, when practicable, are reached inductively. Part Three presents the more elementary processes with fractional numbers, common and decimal, and their more easy and practical applications. Fractions unth small terms are used, and these are treated in both oral and written exercises in a similar manner. The use of the greatest common divisor and the least common multiple, and other like formal methods, is avoided. A full and scientific treatment of fractions is reserved for the authors second book theN ew Complete A rithmetic. The entire book is carefully adapted to the capability of the pupils in the several grades for whom it is designed, and the fact is kept in mind that many of these pupils will not continue in school after the fifth school year. Cincinnati, 0., Mar 14, 1890.
(Typographical errors above are due to OCR software and don't occur in the book.)
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