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Frederic Cheever Shattuck,
from Joseph Perry of emne,
N... the early find and
Schoolfellow of his Grandfather.

Jan. 1. 1863.

The like not extant

The price of wisdom is labor

ARITHMETIC,

IN WHICH ARE COMBINED THE

ANALYTIC AND SYNTHETIC METHODS OF TEACHING.

REWRITTEN IN A STYLE MUCH CONDENSED,

WITH THE ADDITION OF NEW AND INTERESTING MATTER.

DESIGNED

For the use of Schools and Academies.

BY

DANIEL ADAMS, M. D.,

AUTHOR OF THE SCHOLAR'S ARITHMETIC, Adams's NEW ARITHMETIC, ETC.

NEW YORK:

COLLINS & BROTHER,

NO. 82 WARREN-STREET.

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Entered according to Act of Congress, in the year 1861, by

DANIEL ADAMS, M.D.,

In the Clerk's Office of the District Court of the District of New Hampshire.

RENNIE, SHEA & LINDSAY,
STEREOTYPERS AND ELECTROTYPERS,
81, 83, and 85 Centre-street,
NEW YORK.

C. A. ALVORD,

PRINTER,

15 Vandewater-street, New York.

PREFACE.

MY NEW ARITHMETIC, as revised in 1848, for some years past, has been under my careful review; and I again present it, as I trust, with a better finish and in a neater dress than any in which it has heretofore appeared.

The character and general plan of the work remain unchanged. A few specifications of what has been done will here be in place.

And first. I have made a change in my method of questioning the pupil, for the character of which the reader is referred to the Review (4), where it is distinctly made known.

Again,—Mental Arithmetic, at the present day, is so generally taught in our schools, that the pupil is much better prepared than formerly for Written Arithmetic; and hence, I have been led to drop some of the small talk in presenting and illustrating first princicles which at an earlier day seemed indispensable, but in this age of progress, unnecessary. Many parts of the book have been rewritten, in a style much condensed, the thought brought out with greater distinctness, and set prominently before the mind of the pupil in terms most positive and direct. In this way space has been gained for the introduction of much new and interesting matter, without enlarging the volume of the book. An illustration of what in this way has been done may be seen in NOTATION and NUMERATION. These articles occupy more than seven pages in the revision of 1848; in this revision, the whole substance has been retained, with the addition of nearly two pages of new matter, in all occupying less than six pages. "Multiplication" and "Division of Simple Numbers," ""Common Fractions," and many other parts of the work, give evidence of similar condensation and abridgment.

Many parts have been carefully explained and fully illustrated which have heretofore received but little attention. Proof by casting out the 9s (7); Coinage (63); Chronology (94), may be referred to as examples. Definitions (42) have been extended and improved, and are commended to particular notice. Rules and illustrations have been much simplified-Examples generally, unchanged.

In this connection it will be in place to say,-Pupils, from the first, should be accustomed to commit and recite their Rules verbatim. The practice in many schools, it has been said, is like a

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