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PREPARED FOR THE USE OF

PRIMARY SCHOOLS, FEMALE SEMINARIES,

AND

HIGH SCHOOL S.

IN THREE PARTS;

ADAPTED TO CLASSES OF DIFFERENT AGES, AND OF DIFFERENT

DEGREES OF ADVANCEMENT.

BY CATHARINE E. BEECHER,

LATE PRINCIPAL OF THE HARTFORD FEMALE SEMINARY.

SECOND EDITION.

HARTFORD:
PUBLISHED BY D. F. ROBINSON & CO.

AND SOLD BY BOOKSELLERS GENERALLY.

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Entered according to Act of Congress, in the year 1832, by D. F. ROBINSON & Co. in the Clerk's office of the District Court of Connec. ticut.

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PREFACE.

The public have this claim upon any author, who offers a new school book, that such a work shall contain some essential advantages, which are not to be found in any other work already in use. If a writer cannot sustain such a claim, the public are needlessly taxed, for an article which is not wanted.

It therefore seems proper, that a statement should be made of what are supposed to be the peculiar advantages and improvements in this work.

The writer, for several years, has been engaged in instruction, and has either used, or examined, all the most popular works on arithmetic. The following are the deficiencies, which have been experienced, and which it is the aim of this work to supply. It should, however, be previously remarked, that all these difficulties have not been experienced in every work of the kind, heretofore examined; but some have existed in one, and some in another, and no one work, yet known to the writer, obviates them all.

1. The first difficulty, for which a remedy is here attempted, originates from the fact, that in every school, there is such a variety of age, intellect, and acquisition, that no one book is fitted for them all." If a work is found adapted to advanced classes, it is too difficult for the younger and less advanced. If it is fitted to these last, it is too easy for the others.

To remedy this, the following work is divided into Three Parts. The First Part is adapted to the comprehension of young children. The Second Part is fitted to older classes. The Third Part completes an entire system of arithmetic, containing all that is required of students on entering college. The whole work embraces every thing of any consequence, that can be found in the most complete and extended works ever used.

2. Another difficulty which this arrangement remedies, arises from the fact, thạt in most works of this kind, owing to the length of the various exercises under each head, the pupils lose the general principles they gain in one part, before they reach another. Thus, before reduction is attained, the principles employed in addition and subtraction, are partially forgotten, and the pupils do not gain a clear and general view of the whole science.

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