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GRADUATE OF THE STATE NORMAL SCHOOL, AND LATE OF THE BROOKLYE COLLEGIATE AND

POLYTECHNIC INSTITUTE, AND AUTHOR OF A SERIES OF SCHOOL ARITHMETIOS, ETO.

Revised Edition.

NEW YORK:
OHARLES SORIBNER & COMPANY.
INGHAM & BRAGG, CLEVELAND, OHIO.

NICHOLSON & BRO., RICHMOND, IND.
FRANCIS RAYMOND, DETROIT, MICH.

1866.

MARYARD COLLEGE SRARY

FROM THE GIFT OF CHARLES HERBERT THURBEN

į MAR 5 1926

Entered according to Act of Congress, in the year 1862, by

8. A. FELTER, In the Clerk's Office of the District Court for the District of New Jersey.

Entered according to Act of Congress, in the year 1866, by

S. A, FELTER, In the Clerk's Office of the District Court of the United States, for the Southern

District of New York,

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ording to Act of Congrese, in the year 1862, by

8. A. FELTER, of the District Court for the District of New Jersey.

ning to Act of Congress, in the year 1866, by

& A. FELTER, be District Court of the United States, for the Southern

District of New York.

In the published text books on the subject of Arithmetic, it has generally been the object to give under each rule a number of examples sufficient for illustration only. Experience proves, however, that this is not enough; for the rule occupies the attention of the pupil for a time so short that the impression made upon his memory is soon effaced.

The want of a larger number of progressive exercises for practice, particularly in the elementary rules, is almost universally felt by teachers, and especially by those in the public schools, whose arduous duties prevent them from supplying the deficiency by original examples. To such, the remedy has been either to require from the pupil the unpleasant task of performing the same examples a number of times, or else to seek a supply from books other than the one used.

Another source of great inconvenience and embarrassment to the teacher of Arithmetic arises from the personal explanation required by his pupils. This is caused, to a great extent, by the number of examples being too small and not systematically progressive, while the principles comprehended by them are too numerous and complex. Before one principle, with its applications, is thoroughly

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