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FISH'S

ARITHMETIC

NUMBER TWO

ORAL AND WRITTEN

UPON

THE INDUCTIVE METHOD

BY

DANIEL W. FISH, A. M.

66

EDITOR OF ROBINSON'S PROGRESSIVE SERIES" AND "SHORTER COURSE

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FISH'S

NEW ARITHMETICAL SERIES.

IN TWO BOOKS.

Thoroughly inductive in methods, and presenting many new features
not common to other similar works.

1. ARITHMETIC, NUMBER ONE.

ORAL AND WRITTEN.

164 pages.

II. ARITHMETIC, NUMBER TWO.

ORAL AND WRITTEN.

352 pages.

KEY TO ARITHMETIC, NUMBER TWO.

For Teachers.

HARVARD COLLEGE LIBRARY

GIFT OF THE

GRADUATE SCHOOL OF EDUCATION
2142

COPYRIGHT, 1883, BY DANIEL W. FISH.

NO. 2.

Printed by
William Tvison
New York, U. S. B

PREFACE.

IN

N the preparation of this work, the aim of the author has been to furnish a brief and comprehensive text-book, in which no more of theory shall be introduced than is necessary for the illustration of such principles and processes of arithmetic as are needed in the common business of everyday life.

The work is thoroughly inductive in its methods. The principles and processes of computation are developed by inductive questions and exercises; the order of arrangement and gradation of the topics and applications is logical and progressive, hence, practical; the definitions and rules are clear and concise; the applications, both oral and written, are numerous and varied, familiarizing the pupil with ordinary business transactions.

The drill and oral exercises presented in the fundamental rules are peculiarly adapted to secure rapidity and accuracy in the use of numbers, and to pupils who have not been thoroughly drilled in similar exercises, either orally or in any first book, these are of the first importance, and are a sufficient preparation for the written work that follows in each topic. Hence, pupils who have received only oral instruction in the lower primary grades, may take up this book without first using a more elementary work.

Those who are already familiar with such exercises should not pass over them without a thorough review of the same, the written work of each topic being quite as full, both of abstract and of applied examples, as any other similar book.

Many new features have been introduced, which will be

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