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PREFACE

This book is intended for use in the grammar grades of the elementary school. For purposes of systematic review, it seems desirable that a book so designed should contain also a complete review of work for the fifth and sixth years. This book, therefore, after a brief review of the fundamental operations, gives a full discussion of all topics ordinarily found in a complete arithmetic.

This work is not an exhaustive treatise on arithmetic. It. presents only that which the needs of the pupil demand. The aim of this book is threefold:

1. To give the pupil skill in the art of computation. 2. To make him a good mathematician.

3. To give him a working knowledge of modern business methods.

The first necessarily suggests an abundance of graded work.

The second requires both inductive and deductive thought. The method, therefore, is inductive in the development of all mathematical principles, and deductive in their application. It also requires that all solutions shall be clear and concise, and that the statements of all definitions, rules, and principles shall be as-brief and comprehensive as possible.

The third airn demands a practical treatment of all subjects from the standpoint of actual business methods.

With these ends in view, attention is invited to the following:

1. The large number of graded problems under each subject and in the reviews.

2. The abundance of exercises for oral drill. 3. The study of problems and processes.

4. The treatment of Fractions, Practical Measurements, and the Comparative Studies in Percentage.

5. The problems arising out of business conditions.

6. The treatment of Promissory Notes, Banking, Commercial Discount, and Exchange according to the actual methods of modern business.

The author gratefully acknowledges his indebtedness to many prominent educators and friends for valuable aid, discriminating criticisms, and helpful suggestions.

SAMUEL HAMILTON.

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