The Foundations of Higher Arithmetic (Classic Reprint)

Excerpt from The Foundations of Higher Arithmetic

This work is an outgrowth of the author's experience in teaching arithmetic to advanced classes in high schools and in normals, and ha 3 been prepared especially to meet the needs of such class as. In most of the high schools, pupils are required to review arithmetic after having had instruction in algebra and geometry. At this stage of advancement they are able to appreciate a scientific treatment of the subject and to make an intensive study of the same.

The sequence of topics is in accordance with the logical development of the subject. The first eight chapters may properly be considered pure arithmetic, since they deal primarily with the nature and laws of pure numbers. The remaining four chapters may be considered applied arith metic, since they deal with. Numbers as applied to the business affairs of life. A pupil's skill in applied arith metic depends in a large measure upon his knowledge of pure arithmetic.

Few rules have been given, but the fundamental princi ples have been prominently set forth, and model solutions, which serve to lead the pupil step by step through the process of reasoning and thereby compel him to think.

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