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* Explained and brought down to the capacity of the Learner;

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“ENTERED according to Act of Congress in the year 1831, by Thomas W. Conkling, in the Clerk’s office of the District Court of the Southern District of New-York.

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f Fr. the Rev. Wm. Belden, a classical teacher in the city of New-York.

- New-York, January 17th, 1831.

1 on Sin-I have examined the manuscript copy of your new Arithmetic, with as much attention as my numerous engagements would admit; and have no hesitation in saying, that it appears to me decidedly superior to every other system with Wiś I am acquainted, in rendering the science both pleasant and easy to learners, especially those of an early age. . The method which you have pursued in developing the principle and the general process under each rule, is such, that with due attention, the learner will be able to pursue this important science understandingly, with little, or no assistance from his teacher. In this respect, the work will be found a valuable acquisition, not ou!y to learners, but to teachers also; by relieving them of much labour in the way of explanation, and enabling theim to devote more of their time and attention to other duties of the school. That you will meet with merited success in this publication, is the ardent wish of, Sir, your obedient servant,

WILLIAM BELDEN.

From Mr. S. Hammond, teacher of Public School, No. 4. and from Mr.
George Everitt, teacher of Public School, No. 12.

Mr. Conkling, New-York, 2d Feb. 1831.
DEAR SIR,-Agreeably to your request, we have given the
manuscript copy of your Arithmetic, as attentive a o as
the hurry of business and occasional interruptions would permit;
and do not hesitate to express a favorable opinion of the perfor-
mance, o for beginners, and those who may be under
the necessity of resorting to self-instruction, in that useful

branch. We wish you much success in its publication.

GEORGE EVERITT, o S. HAMMOND.

From Aaron M. Merchant, Esq. late principal of Union Hall Academy, author of the “American School Grammar,” &c.

Mr. T. W. Conkling, New-York, Feb. 15, 1831.

SIR-I have examined your new Arithmetic in manuscript, with as much care as the limits of my leisure would allow. Your plan of arrangement is certainly good, the illustrations simple, and well calculated to arrest the attention, and facilitate the progress of learners; and the tables, to say the least, are ingenious. I think your arrangement an improvement, upon every other that has fallen o: my observation. There is ano

Mr. Thomas W. Conkling.

ther merit which your Arithmetic has, which is certainly a desideratum. It is not a patchwork of those numerous publications, which have been turned out of the hands of compositors upon the world, since the days of Dilworth: so far as I have seen, its questions to exercise the mind of the student, are origimal. , Were I, as I have been, engaged in the instruction of youth, I should feel it my duty to introduce your Arithmetic, not to the exclusion of others, but in connexion with them, for in so doing, I am confident it would save me much labour in writing new exercises. I sincerely hope that you may receive ample reward for your labour, in preparing it for the press. Respectfully, I have the honour to be yours, &c. A. M. MERCHANT.

From Mr. Jared B. Peck, teacher of a select English School.

Mr. Thomas W. Conkling, SIR,--I have partially perused the MS. of your “Youn Arithmetician's Guide,” &c. and was much pleased to see each compound rule immediately preceded by its appropriate table, which I consider important, Your examples for illustration are also well calculated to impress the principles of the rules upon the scholar’s mind, and cause him to think for himself, without which, “the young arithmetician” will never become a practical one. Wishing you success in your attempt to benefit the young student in a very important branch of education, I shall, introduce your Arithmetic into my school as soon as published. - Respectfully, your friend, New-York, April 2, 1831. J. B. PECK.

From Mr. Joseph McKeen and Mr. T. Whitlock, principals in Union

Hall Academy.

Mr. T. W. Conkling,

SIR,-We have examined the Arithmetic which you propose to publish, and are of opinion that it is in some respects preferable to any in use. Without pretending to have made any new discoveries in the science of numbers, you appear to have followed the models that have the sanction of public approbation. The blanks, which you have left in your directions for an operation, requiring the for to determine, from the nature of the question, what elementary rule must be applied, are calculated to develope the reasoning faculties; and it appears to have been your aim, to elicit thought. Many very able scientific writers on this subject, have been less successful in this particular. We have no doubt but your book will come into honourable rivalry

with the best in use. Hall Academy, : JOSEPH McKEEN,

T. WHITI,00K.

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