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RECOMMENDATIONS.

From Prof. E. A, Andrews.

About two years ago, while on a visit to this place, I had the pleasure of meeting with Mr. Tracy, and of having some conversation with him on the subject of an Arithmetic, which he was preparing for schools. I was particularly pleased with that part of his system which related to canceling, and which appeared to me to possess great practical value. Within a few days, Mr. Tracy has put into my hands a part of his manuscript, that I might become more minutely acquainted with his system. My time has been so far occupied with my own business, that I have been able to examine a part only of the manuscript put into my hands; but with this part, I have been much gratified. It appears to me, that when carefully and thoroughly revised and perfected, as the author designs to do, it may become a most valuable work, inferior to none of the Arithmetics now used in our schools. Such is my confidence in the ability of the author, to complete and polish the work, that I look upon its success as quite certain.

New Britain, Conn., Aug. 1st, 1839.

From E. H. Burritt, author of the Geography of the Heavens, &c. Through the politeness of Mr. Tracy, I have been favored with a perusal of an Arithmetic, in manuscript, which he is preparing for publication. The work is intended as a universal class book in elementary Arithmetic. It is the production of a gentleman of known abilities and experience in teaching, and he has, with great care, arranged its several parts, and given the rules, and selected the examples, step by step, in that natural order, and easy method, which his own judgment and experience approved. There are some excellencies in his Arithmetic-some facilities of dealing with figures, which, so far as I know, are entirely peculiar to this treatise, and which distinguish it from all others. On this ground especially, and that of its general merit, I think it a work which will commend itself to the attention of teachers.

New Britain, August, 1836.

I entirely coincide in the above opinion, having been particularly gratified with the ease and facility with which many difficult operations are performed by the new principle introduced by the author.

J. P. BRACE, Principal of Hartford Female Seminary.

From Edward Strong, Principal of Bacon Academy, Colchester, Conn.

I have had the pleasure of examining a system of Arithmetic, by Mr. Tracy, of Norwich Academy. Without speaking of its merits in other respects, which I am unable to do, from want of time to give a thorough perusal, I discover in it a distinctive feature-the method of canceling-which appears to me to be an important improvement on every other system with which I am acquainted. Should the other features of the work correspond with what may reasonably be expected from its author, I should regard it as a very important improvement upon our other systems of Arithmetic.

Colchester, Oct. 8th, 1839.

From Rev. A. Bond, Pastor of the Second Congregational Church, in Norwich. Having examined the general plan of an Arithmetic, prepared by Mr. Tracy, Principal of Norwich Academy, I can cheerfully recommend it as a system possessing, in some important particulars, a superiority over any other system with which I am acquainted. The method of canceling, which is carried through the work, excepting the Roots, greatly facilitates the process of Arithmetical calculations, and will give it a decided advantage in the estimation of business men. The part on foreign exchanges will enhance its value with the commercial community. While its simplicity adapts it to the use of common schools, its comprehensiveness, and the ease and accuracy with which complicated problems may be solved, will be likely to secure for it a prominent place in the counting room.

Norwich, August 7th, 1839.

From La Fayette S. Foster, Esq.

Mr. Calvin Tracy, of this city, has submitted to my examination, in manuscript, an Arithmetic, prepared by himself, for publication. From the known ability of Mr. Tracy, as an instructor, I was prepared to entertain a high opinion of any treatise designed to facilitate the acquisition of knowledge, of which he might be the author, and from the attention which I have bestowed on his Arithmetic, I have no hesitation in bearing testimony to its high meritorious character. His plan appears to me to be highly judicious, and ably and skillfully executed. The work, in my opinion, will be a valuable addition to a very important branch of education.

Norwich, Dec. 24th, 1839.

From Messrs. J. H. Gallup and G. Bushnel, Teachers of the Eclectic School, Norwich, Conn.

Having examined Mr. Tracy's system of Arithmetic, we think it well calculated to answer the purposes for which it is intended. Mr. Tracy has illustrated, and happily combined with nearly all his operations, a method of abbreviating Arithmetical calculations, which, so far as we know, has never before been published in any common school Arithmetic. This we deem an essential improvement, and are of opinion, that the author has rendered, in this work, an essential service to the cause of education.

Norwich City, Oct. 22d, 1839.

From Rev. L. N. Tracy, formerly Principal of New Britain Academy.

I have spent considerable time in a careful examination of an Arithmetic prepared by Mr. C. Tracy, Principal of Norwich Academy. For my own benefit and pleasure, I have carefully examined every rule, and though I have daily used the best Arithmetics extant, while engaged for many years in teaching, I am led to believe that there is not a text book on Arithmetic in use which presents equal excellencies. Its grand featurethat which distinguishes it from every other Arithmetical treatise-is the principle of canceling, introduced and applied throughout the work. The extent and facility of its application to all operations in which Multiplication and Division are both concerned, are fully and clearly illustrated. It is safe to say that two thirds, and often four fifths of the labor and time usually required for arithmetical solutions, is saved. While it contains an amount of matter equal to any other Arithmetic in use, it is still a strictly elementary work.

Norwich, Oct. 12th, 1839.

From E. C. Herrick, Esq.

I have cursorily examined the manuscript of Mr. C. Tracy's treatise on Arithmetic. The most prominent feature of the work is the introduction of a peculiar mode of stating numerous classes of problems, which are then solved by an abridged process, called canceling. This appears to me an important improvement on the books in common use, and one which renders the publication of this treatise very desirable. New Haven, Dec. 27th, 1839.

From J. H. Rogers, Esq., Principal of Prospect Hill High School. Messrs. DURRIE & PECK,

Gentlemen-From a hasty examination of Tracy's Arithmetic, I believe it worthy of being ranked among the best School Books. The method of canceling, very fully brought into practice in this work, greatly abridges many operations; and may be mentioned as one of its most valuable features.

East Haven, April 24th, 1840.

Sincerely yours,

J. H. ROGERS.

At a meeting of School Visitors of the First School Society of New Haven, held May 2, 1840

The committee appointed at the previous meeting to examine and report on "A New System of Arithmetic," by Mr. C. Tracy,-reported, that in their opinion the⚫ work contains important improvements on the arithmetical treatises in common use, and recommend that it be introduced into the schools of this Society:-whereupon, it was

Voted, That Tracy's New System of Arithmetic be adopted for use in the schools of the First School Society of New Haven.

E. C. HERRICK, Clerk pro tempore.

R. S. HINMAN, Chairman.

NEW SYSTEM

OF

ARITHMETIC,

IN WHICH IS EXPLAINED AND APPLIED TO PRACTICAL PURPOSES, IN ADDITION
TO THE ORDINARY RULES OF OPERATION,

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