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SCHOOLMASTER'S ASSISTANT

IMPROVED AND ENLARGED,

BEING A PLAIN,

PRACTICAL SYSTEM

OF

ARITHMETICK:

ADAPTED TO THE UNITED STATES.

STEREOTYPE EDITION.

BY NATHAN DABOLL,

BUFFALO, N. Y.

PRINTED AND PUBLISHED BY LAZELL AND FRANCIS, BY PER-
MISSION OF THE PROPRIETOR OF THE COPY RIGHT.

ISTRICT OF CONNECTICUT, 98.

E. S.

BE IT REMEMBERED, That on te twenty first day of October, in the thirty-sixth year of the Independence of the United States of America, SAMUEL GREEN, of said District, hath deposited in this office the title of a Book, the right whereof he claims as Proprie tor, in the words following, to wit:-" Daboll's Schoolmaster's Assistant: improved and enlarged. Being a plain practical system of Arithmetic: adapted to the United States. Stereotype Edition. By NATHAN DA

BOLL."

In conformity to the Act of the Congress of the United States, entitled, " An Act for the encouragement of learning, by securing the copies of Maps, Charts and Books, to the Authors and proprietors of them during the times therein mentioned."

HENRY W. EDWARDS,
Clerk of the District of Connecticut.
A true copy of Record: Examined and sealed by me
H. W. EDWARDS. Clerk of the Dist. of Conn.

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Travers 6-19-29 119917

RECOMMENDATIONS.

YALE-COLLEGE, NOV. 27, 1799. I HAVE read DABOLL'S SCHOOLMASTER'S ASSISTANT. The arrangement of the different branches of Arithmetic is judicious and perspicuous. The author has well explained Decimal Arithmetic, and has applied it in a plain and elegant manner in the solution of various questions, and especially to those relative to the Federal Computation of money. I think it will be a very useful book to Schoolmasters and their pupils.

JOSIAH MEIGS, Professor of Mathematics and Natural Philosophy. [Since Surveyor-General of the United States.]

I HAVE given some attention to the work above men. tioned, and concur with Mr. Professor Mein in his opinNOAH WEBSTER. New-Haven, December 12, 1799.

ion of its merit.

RHODE-ISLAND COLLEGE, NOV. 50, 1799.

I HAVE run through Mr. DABOLL's SonCOLMASTER'S ASSISTANT, and have formed of it a very favorable opinion. According to its original design, I think it well "calculated to furnish Schools in general with a methodical, easy and comprehensive System of Practical Arith metic." I therefore hope it may find a generous patrouage, and have an extensive spread.

ASA MESSER, Professor of the Learned Languages, and Teacher of Mathematics. [President of that Institution.]

PLAINFIFLD ACADEMY, APRIL 20, 1802.

I MAKE use of DABOLL'S SCHOOLMASTER'S ASSISTANT, in teaching common Arithmetic, and think it the best calculated for that purpose of any which has fallen within my observation. JOHN ADAMS, Rector of

Plainfield Academy. [Now Principal of Phillips' Academy, Andover, Mass.]

BILLERICA ACADEMY, (MASS.) DEO. 10, 1807.

HAVING examined Mr. DABOLL'S System of Arithmetic, I am pleased with the judgment displayed in his method, and the perspicuity of his explanations, and thinking it as easy and comprehensive a system as any with which I am acquainted, can cheerfully recommend it to the patronage of Instructors.

SAMUEL WHITING,

Teacher of Mathematics.

FROM MR. KENNEDY, TEACHER OF MATHEMATICS.

I BECAME acquainted with DABOLL'S SCHOOLMASTER'S ASSISTANT, in the year 1802, and on examining it attentively, gave it my decided preference to any other system extant, and immediately adopted it for the pupils under my charge; and since that time have used it exclusively in elementary tuition, to the great advantage and improvement of the student, as well as the ease and assistance of the Preceptor. I also deem it equally well calculated for the benefit of individuals in private instruction; and think it my duty to give the labour and ingenuity of the author the tribute of my hearty approval and recommendation.

New York, March 20, 1811.

ROGER KENNEDY.

PREFACE.

THE design of this work is to furnish the schools of the United States with a methodical and comprehensive system of Practical Arithmetic, in which I have endeavoured, through the whole, to have the rules as concise and familiar, as the nature of the subject will permit.

During the long period which I have devoted to the instruction of youth in Arithmetic, I have made use of various systems which have just claims to scientific merit; but the authors appear to have been deficient in an important point-the practical teacher's experience.They have been too sparing of examples, especially in the first rudiments; in consequence of which, the young pupil is hurried through the ground rules too fast for his capacity. This objection I have endeavoured to obviate in the following treatise.

In teaching the first rules, I have found it best to encourage the attention of scholars by a variety of easy and familiar questions, which might serve to strengthen their minds as their studies grow more arduous.

The rules are arranged in such order as to introduce the most simple and necessary parts, previous to those. which are more abstruse and difficult.

To enter into a detail of the whole work would be tedious; I shall therefore notice only a few particulars, and refer the reader to the contents.

Although the Federal Coin is purely decimal, it is so nearly allied to whole numbers, and so absolutely necessary to be understood by every one, that I have introduced it immediately after addition of whole numbers, and also shown how to find the value of goods therein, immediately after simple multiplication; which may be of great advantage to many, who perhaps will not have an opportunity of learning fractions.

In the arrangement of fractions, I have taken an entire new method, the advantages and facility of which will sufficiently apologize for its not being according to other

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