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JUVENILE ARITHMETICK

AND SCHOLARS' GUIDE,

ILLUSTRATED WITH FAMILIAR QUESTIONS, AND CONTAINING NUMEROUS EXAMPLES IN

FEDERAL MONEY.

TO WHICH IS ADDED, A SHORT SYSTEM OF

BOOK KEEPING:

BY MARTIN RUTER,

President of Augusta College

REVISED AND ENLARGED

By Nathan Guilford.

CINCINNATI:

PUBLISHED AND SOLD BY N. & G. GUILFORD.

Stereotyped at the Cincinnati Stereotype Foundry:

DISTRICT OF OHIO, TO WIT:

BE IT REMEMBERED, That on the twenty-second day of April, in the year of our Lord one thousand eight hundred and twenty-seven, and in the fifty-first year of the American Independence, MARTIN RUTER, of said District, hath deposited in said office the title of a book, the right whereof he claims as author and proprietor in the words following, to wit:

THE JUVENILE ARITHMETICK AND SCHOLAR'S GUIDE: wherein theory and practice are combined and adapted to the capacities of young beginners; containing a due proportion of examples in Federal Money, and the whole being illustrated by numerous questions similar to those of PESTALOZZI, by MARTIN RUTER, A. M;"

In conformity to the Act of the Congress of the United States, en. titled “ An Act for the encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the Authors and Proprietors of such copies during the times therein mentioned ; and, also, 011 of the Act entitled “ An Act supplementary to an Act entitled an Act for the encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the Authors and Proprietors of such Copies during the times therein mentioned, and extending the benefits there. of to the Arts of designing, engraving, and etching historical and other Prints.

WM. KEY BONL, Clerk of the District of Ohio.

RECOMMENDATIONS. The following have been selected from the recommenda

tions bestowed upon this work. Messrs. Guilfords, I have examined hastily the “ Juvenile Arithmetick," which you sent me, and am of opinion that it possesses some advantages over those generally in use: "I particularly refer to the part intended to cultivate in the learner. the habit of going through the solutions mentally. Very respectfully yours,

JOHN E. ANNAN, Professor of Mathematicks and Natural Philosophy in the Miami University.

Oxford, June 5, 1827.

From a hasty review of Dr. Ruter's Artihmetick, I am inclined to think well of it. The attempt to introduce a rational method of instruction in any department of education, is laudible and especially in common schools. This I think the Juvenile Arithmetick is well calculated to do, in that branch of study to which it belongs. The plan of Pestalozzi is excellent, and Dr. Ruter has perhaps imitated it more successfully (by comprizing more in less space) than Mr. Colburn, between whose Arithmetick and this there is however a considferable resenıblance. Your's &c.

WM. H. M'GUFFY, Oxford, June 28, 1827.

Professor of Languages, &c., in the Miami University.

We have examined your Juvenile Arithmetick,' and feel a pleas. ure in recommending it to the schools of our country. We think the general arrangement good, and have no hesitation in saying, that the questions prefixed and appended to the rules, give it superior advantages. Respectfully yours, JOSEPH S. TOMLINSON,

JOHN P. DURBIN, March 12, 1828.

Professors in Augusta College.

The Juvenile Arithmetick, from the cursory examination which ] have given it, appears to be a manuel of value for the introduction of youth into the science of numbers. In furnishing a second edition, I wish you success.

ELIJAH SLACK. I concur nost cheerfully in the above opinion. Cincinnati, April 2, 1828.

S. JOHNSON

I have used thy compilation of Arithmetick during the last year; and do not hesitate in recommending it to the publick. The questions preceeding the rules, the particular attention to fractions, and the sketch of mensuration give it a decided preference to any other here in use.

JOHN L. TALBÉRT. Cincinnati, Fourth mo. 5, 1828.

Having examined the above Arithmetick, I cheerfully concur in the foregoing opinion of its merits. ARNOLD TRUESDELL.

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