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THE

ARITHMETICAL TABLE-BOOK;

OR

THE METHOD

OF

TEACHING THE COMBINATIONS OF FIGURES

BY SIGHT.

BY

CHARLES DAVIES, LL.D.

AUTHOR OF ELEMENTARY ALGEBRA, ELEMENTS OF SURVEYING,
ELEMENTS OF DESCRIPTIVE GEOMETRY, SHADES, SHADOWS,
AND PERSPECTIVE, ANALYTICAL GEOMETRY, AND
DIFFERENTIAL AND INTEGRAL CALCULUS.

CNEW YORK:

PUBLISHED BY A. S. BARNES & CO.,

No. 51 JOHN-STREET.

Math 4583.10

Educ I ++8+48.

1860. Jan.

Lift of

24.

Richard C. Parker
of Cambridge

Entered according to Act of Congress, in the year 1848,

BY CHARLES DAVIES,

In the Clerk's Office of the District Court of the United States for the Southern District of New York.

STEREOTYPED BY
RICHARD C. VALENTINE,
NEW YORK.

C. A. ALVORD, Printer,

PREFACE.

In my University Arithmetic, published in 1846, Arithmetic is treated as a science, having its own peculiar language. The alphabet of that language is the ten characters called figures. The combinations of these characters, according to certain laws, afford the means of expressing every idea connected with the science of numbers. The language of

arithmetic is but the result of these combinations.

The train of reflections thus suggested induced me to believe that elementary arithmetic might be taught by this method with great success, and a recent visit to the schools in Providence, Rhode Island, under the care of Mr. N. Bishop, City Superintendent, and a corps of very able teachers, has fully confirmed me in that impression.

The author is much indebted to Mr. Bishop, and to the teachers acting in conjunction with him, for many valuable suggestions. Indeed, but for their favorable opinion of the method here illustrated, verified by satisfactory experiments, this Elementary Book, presenting the subject of numbers to the minds of children in a new light, would not have appeared in its present form.

CHARLES DAVIES.

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