Higher Arithmetic

Excerpt from Higher Arithmetic

This work is intended for teachers in training in normal schools and for students in high schools, the former because they need a broader view of arithmetic than an elementary textbook can give, and the latter because they need a thorough review of the principles and the leading applications of arithmetic before they enter upon their life work. The book may be studied in any year of a high school, but it is desirable that the student should first be familiar with the meaning of algebraic expressions and with the solution of the simple equation. In case the student is not equipped with this slight knowledge of algebra, the teacher may omit the algebraic forms that enter into the work.

The primary purpose of the book being to lead the student to understand more completely the important parts of arithmetic with which he has a certain familiarity from his work in the elementary school, special attention is given to the principles of the subject rather than to that mechanical drill which necessarily characterizes the instruction in the lower grades. The applications are such as have special significance to teachers and commercial students, the technicalities of particular trades and vocations being avoided as unsuited to the work for which the book is intended.

While a somewhat conventional sequence of topics has been given, this sequence has not been permitted to govern the presentation of the subject. The book being intended for review purposes, topics have been allowed to cross and to correlate with one another as seems best for the student's understanding of the subject as a whole. Formal definitions play a small part, the student already being familiar with most of the terms he uses.

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