After a careful examination and thorough trial of "Greenleaf's Series of Arithmetics," I am prepared to say, that in my opinion they are better calculated than any other system with which I am acquainted, to lead the scholar by easy and natural steps, from the plainest to the most difficult parts of the science. After having tried the experiment, I am decidedly of the opinion that more accomplished and thorough Arithmeticians may be made by using Greenleaf's Series, than by using any other books now before the public. LEVI ADAMS, Northampton, Sept. 9, 1845. Principal of Boys High School. BENJAMIN GREENLEAF, Esq.: Dear Sir-I made a very careful examination of your National and Introductory Arithmetics, soon after their publication, and being highly pleased with their arrangement, and believing them to be works of superior excellence, I took immediate measures to introduce them into my school. Since their introduction I have constantly used them, and I feel confident that my scholars have progressed more rapidly, and have obtained a more thorough and practical knowledge of the science of numbers, than they would have done from any other of the numerous systems with which I am acquainted. It is now nearly nine years since I commenced using your system of arithmetic, and it gives me great pleasure to say, that the longer I teach from your books, the better I am satisfied of their superiority over all other works now before the public. I think your Mental, Introductory and National Arithmetics form a series of just such books as the best good of all our schools demands. JOHN BATCHELDER, Lynn, July 4th, 1845. Principal of the Franklin School, Lynn, Mass. Dedham, Dec. 2d, 1844. The Committee on the examination of books for the schools in Dedham, have approved of GREENLEAF'S ARITHMETIC, and recommend the early adoption of the same as soon as practicable, to the teachers and parents of the several schools in SAMUEL B. BABCOCK, Clerk of School Committee. our town. I have carefully examined Greenleaf's Introduction to the National Arithmetic, also his National Arithmetic, and find them throughout excellently calculated for the purpose stated in the Author's Preface. The matter is well selected and judiciously arranged; the practical rules are given with great clearness, and the examples and illustrations prove the thorough knowledge of the author in all the practical details of this important branch of education. The work needs only to be examined to be recommended. D. M. KIMBALL, Teacher of Mathematics, Natural Philosophy and Astronomy. Williston Seminary, E. Hampton, (Mass.) Oct. 10, 1845. I have examined "Greenleaf's Introduction to the National Arithmetic," which you sent me, and am convinced that the work is far superior to anything of the kind that I have ever seen. This treatise ALONE, as I think, contains all that is necessary to fit one for the practical business of life, and I doubt not it will receive the approbation of both teachers and scholars wherever it is used. The School Committee of this town have recommended it for use in all our schools, which is the highest praise they can bestow upon any school book. P. LANGDON CHANDLER, Waterville, (Me.) June 2d, 1844. In behalf of the Committee, Waterville. Taunton, Nov. 29, 1843. The School Committee of this town, after a careful examination of Mr. Green leaf's Arithmetics, and comparing them with several other works treating upon this branch of education, voted unanimously to adopt them in the Public Schools of this A. A. LEACH, Secretary, In behalf of the Committee. town. I have examined Mr. Greenleaf's National Arithmetic with much care, and having tested its merits, by its introduction and use in my Private School, I am happy to state that it meets my unqualified approval. With the "Introduction" I am highly pleased; since its adoption in my school, I have witnessed with much satisfaction, an increased interest in the study of Arithmetic among the younger portion of my pupils, and from comparing their proficiency in this branch with that of previous terms, I am fully satisfied that it is the most valuable work of the kind with which am acquainted; and can cheerfully recommend it as well deserving the attention A. A. LEACH, Principal of Select School. of Teachers and School Committees. Taunton, Nov. 29th, 1843. Extract from a letter from Rev. William H. Tyler, Principal of Young Ladies' Institute, Pittsfield, dated November 30, 1843. I have thoroughly examined the National Arithmetic, and am satisfied that it is on the whole decidedly a better arithmetic than any other I am acquainted with. I am governed in this preference by the high estimation in which I hold the practical character of the work. It is pre-eminently practical in the general subjects it comprises. I did not sit down, however, to write a recommendation of the work, but merely to ask that you will have the kindness to forward the number of copies needed for immediate use in this Institute. We have at this time forty-five pupils pursuing this study, in the use of Adams' Arithmetic, and we wish to supply them at once with the National Arithmetic. Will you forward that number to my address? Phillips Academy, (Teachers' Seminary,) Andover, Mass. February 10, 1844. B. GREENLEAF, Esq.- We have adopted the "National Arithmetic " as a textbook in this Institution. Having examined most of our popular systems of arithmetic, I can say with sincerity, that I regard your book as better adapted to meet the wants of academies, and the higher classes in common schools, than any other treatise on the subject. W. H. WELLS, Instructor in English Department. I have for more than four years used Mr. Greenleaf's "National Arithmetic," and have no hesitation in saying that I regard it the best text-book of the kind extant. Mr. Greenleaf has in this work reserved the excellences of all other authors with whom I am acquainted, while at the same time, he has rejected much which in them is objectionable. This book must have been the result of much hard study, and is admirably adapted to academies and advanced classes in common schools. I have used his Introduction" and "Mental Arithmetic " for a less time, but long enough to be able to estimate the comparative merits of the books. I regard these also as works of great merit, and happily adapted to the use of common schools. I am decidedly of the opinion that no series of arithmetics with which I am acquainted, is so well calculated to lead the pupil to gain a thorough practical knowledge of figures, as this. Mr. Greenleaf's books may claim more of originality than most other arithmetics extant; his arrangement is systematic; his examples are calculated at once to interest the mind, and to explain and fix the principles, and more than any other author whose works I have examined, he has given the reason for the rules which he has laid down. These books are already extensively used in Orange County, (Vt.) and that will be a happy day for our schools, when they shall be the books used throughout our State. HIRAM ORCUTT, Principal of the Academy. Thetford, (Vt.) February 24, 1846. The Committee of the Ward School Teachers' Association, to whom was referred the subject of the several arithmetics presented to the Association for adoption, respectfully ask leave to offer the following Report: The Committee have deferred acting upon this important subject, to afford each individual opportunity to become thoroughly acquainted with the wants of the numerous works claiming their attention, and they have properly appreciated this branch of study, embracing, as it does, so much time allotted to common school education, forever regarded as difficult and seldom commending itself to the youthful mind. They have unanimously resolved to recommend Greenleaf's Mental, Introductory and National Arithmetics, for adoption by this association, and would merely add, that in their opinion no system of arithmetic hitherto published, combines so many excellent features for imparting a knowledge of figures, and rendering the study of numbers a delightful task, as Greenleaf's. The arrangement of rules, the beautiful illustration of principles, and the numerous examples requiring solution by the pupil, render this work preferable to any other submitted for examination. The Committee are confident that their opinion as here expressed, will be sustained by every teacher who may use Greenleaf's Arithmetics, all of which is respectfully submitted. Resolved, That this Association adopt and earnestly recommend Greenleaf's Mental, Introductory and National Arithmetics, and that we use our best exertions to secure their introduction into the numerous schools of this city. SENECA DURAND, Chairman. EDWARD MCILROY, HENRY W. HULL, E. H. JENNY, BENJAMIN WYMAN. JOHN WALSH, I certify, that the above is a correct copy of the Report of the Committee on Books of the Ward School Teachers' Association of the city of New York; and which was unanimously adopted at a meeting held February 4, 1846. WILLIAM KENNEDY, Recording Secretary. I have examined with some attention the Arithmetics of Mr. Greenleaf, which you left with me, and take pleasure in saying that I prefer them to any others which have fallen under my notice. In the course of study which I prepared at the request of the Committee, I recommended Greenleaf's Arithmetic. Worcester, (Mass.) April 16, 1845. ELBRIDGE SMITH, Principal of the High School. Having carefully examined Greenleaf's Arithmetics, and having been permitted to introduce them into our schools, I am happy to say, after several months' experience, that they have more than equalled my expectations, and in my opinion are better adapted to the wants of our common schools, than any other I have ever been acquainted with. The rules are easily understood by children, and the arrangement and illustrations suited to their capacities and wants. The short system of Book-Keeping gives ad ditional value to the work, in a school where this is not taught as a separate WILLIAM SEAVER. branch. Quincy, (Mass.) December 10, 1844. I prefer Greenleaf's series of Arithmetics to any other I am acquainted with, and I intend to have all my scholars study it. I have just introduced the National Arithmetic, and think it preferable to Emerson's Third Part, which I shall no longer I am much pleased with the Mental Arithmetic, and have prevailed upon some of the teachers of the primary schools to introduce it, much to their own gratifica tion, and advantage of their pupils. QUINCY BICKnell, Jr. use. Quincy, (Mass.) July 15, 1845. Having used Greenleaf's National Arithmetic, for the last five years, with great success, feel warranted in pronouncing it the best work on that science that I have ever seen, and exactly adapted to the wants of the higher classes in our common schools. Greenleaf's Introduction possesses equal merit, and claims the attention of town committees in general. I think this is decidedly the best work for common schools that has ever been published. DANIEL F. DRAPER. Dedham, (Mass.) December, 21, 1844. Extract from a Letter from Robert T. Conant, Esq., Principal of Plattsburg, (N. Y.) Academy, dated July 23, 1844. I must express my decided and almost unqualified approbation of Greenleaf's Arithmetic. I will say, that it is, in my opinion, superior to any arithmetic with which I am acquainted. Ultimately, I have no doubt it will be introduced into this Academy, and the sooner the better. Having used the National Arithmetic, together with the Introduction to the same, for some time in my school, I feel bound to say, that I consider them decidedly the best works upon the same subject, ever offered to the public. In the course of my duties as a teacher, I have often lamented the want of a proper work on the science of numbers, so arranged as to render it attractive, and, at the same time, easily available; and I am happy in being able to say, that in my opinion, these works come so near to the character of the teachers' ideal, that I have no fears of their being soon supplanted. After a cursory examination of the Mental Arithmetic, for beginners, (the appearance of which I welcome, to complete the series,) I have no hesitation in saying, that I believe it to be well adapted to the wants of children, and every way worthy of its author. HP ANDREWS, Lynn, July 1, 1845. Principal of Mount Vernon Street School. Conclusion of a Letter from Professor Chase, of Dartmouth College, to the Author. Another excellency in your work, consists in the demonstration of the rules. There is surely no reason why the principles of arithmetic should not be demonstrated as rigidly as the propositions of Geometry; and the study of Arithmetic with proper demonstrations, forms the best possible preparation for the study of Geometry and Algebra. Hanover, (N. H.) September 10, 1845. Extract from a Letter from Rev. Samuel J. May, Principal of State Normal School, dated Lexington, Mass., July 10, 1843. Of the "National Arithmetic " I am prepared to speak highly. It is the work of a sensible man, who has had long experience, as a successful teacher of youth. If I could have but one book of the kind in my school, I should prefer this to any I am acquainted with. After a trial of several months, Greenleaf's Arithmetics have been adopted as textbooks for the classes in my department of instruction. The general arrangement of the introduction of several of the old modes of working problems omitted by so many of the present time, the numerous examples, the clearness and perspicuity of the rules, and the placing of the answers with the sums, are among the advantages possessed by those works, which in my view justly entitle them to preference. New York, January 24, 1844. WM. TAYLOR A. M., Instructor in Natural Philosophy and Mathematics, Washington Institute. Having had occasion to examine the several treatises upon Arithmetic used in our best schools, and to select from them one for the use of the pupils of the Commercial Department of the University Granimar School, I found Emerson's 3d part and Greenleaf's National Arithmetic to possess apparently about equal degrees of merit. After having taken several large classes through Emerson's, and several others through Greenleaf's, I have adopted the latter as the permanent arithmetic of my school. ISAAC G. HUBBS, Commercial and Collegiate School. New York, April 9, 1844. After a careful and rigid examination of Greenleaf's Arithmetic, I do not hesitate to say that it is the very best work of the kind extant. I have introduced it into my school, and am delighted with the apparent satisfaction displayed by my pupils. W. KING, Classical and English School, 639 Broadway. New York, October 2, 1843. I have carefully examined Greenleaf's Introduction and National Arithmetic. They are, in my opinion, better adapted to the purposes of teaching than any other books in this department of science with which I am acquainted. I prefer them to Emerson's series, which I have used during the last eight years, and I have therefore introduced them into my school. CHAS. W. FEEKS, 649 Broadway, N. Y. Classical and English School. New York, October 4, 1843. I have examined with great care and attention "Greenleaf's National Arithme tic," and have no hesitation in saying, that I think it excels every other work of the kind with which I am acquainted. I have accordingly introduced it into All Saints' Parochial School," and most cheerfully recommend it to others of my profession. WM. A. TAYLOR, Principal of All Saints' Parochial School. New York, October 31, 1843. B. Greenleaf, Esq. Dear Sir: I thank you most heartily for the "National Arithmetic " you presented me some time ago. After a thorough and practical examination of the work, I can truly say it pleases me more than any I have ever used. The youngest scholars are interested, and love to study it; the oldest give evidence of a clearer and better understanding of the subject than they have ever shown before. Having introduced it into my own school, would cheerfully recommend it Yours, very truly, JOHN JAY GREENOUGH. to others. New York, September 12, 1843. I have not only examined Greenleaf's National Arithmetic faithfully, but I have tested its value by use; and I do unhesitatingly pronounce it the best text-book of the kind, that has fallen under my notice, during my entire school-room experience. I shall, hereafter, use no other. JOSEPH MCKEE, Classical and English Teacher, Madame Chegaray's School. Union Square, New York, July, 1844. An attentive examination of Greenleaf's National Arithmetic and the Introduction thereto, has confirmed the favorable opinion I had previously formed from report. The rules, simply yet accurately expresssed, the lucid illustrations and copious examples, in fact, the entire arrangement, show them to be works of no ordinary merit, and indicate that they have been prepared by one who is a complete master of the science. I have not the slightest hesitation in giving them a decided preference to any works of the kind I have hitherto seen. M. J. O'DONNELL, Principal of Public School, No. 11. New York, November 22, 1844. I have examined, with some care, Mr. Greenleaf's Arithmetic, and, by that examination, imperfect as it was, am forced to the conclusion, that on several accounts, it is preferable to most, if not all other works on that subject, that I have seen. JAMES N. MCELLIGOTT, Principal of the Mechanic Society School. New York, January, 1844. GREENLEAF'S NATIONAL ARITHMETIC is now used as a text-book in the following important seminaries of learning, among others, which fact may be considered a high recommendation for the work. The several STATE NORMAL SCHOOLS in Massachusetts, under the direction of the State Board of Education. The Normal Schools in New York City; Rutger's Female Institute, New York; Brooklyn (N. Y.) Female Academy; Abbott Female Academy, and Phillips Acade my, Andover; Chauncey Hall School, Boston; Bradford Female Seminary, (Mass.) Miss Hasseltine, Principal; Phillips Academy, Exeter; the Young Ladies' Insti tute, Pittsfield; Williams Academy, Stockbridge; Worcester County High School, Worcester; Catholic College, Worcester; Wesleyan Academy, Wilbraham; Amherst Academy Quaboag Seminary, Warren; Framingham Academy; Hingham Acade my; Portland Academy; Peirce Academy, Middleborough; Partridge Academy, Duxbury; Lowell Academy; Bristol Academy, Taunton; New Bedford Academy; Rev. D. Leach's Select School, Roxbury; Putnam High School, Newburyport; Friends' Academy, Providence; Kimball Union Academy, Meriden, (N. H. ;) Pembroke Academy; New Hampton Academy; Keene Academy; Hillsboro' Academy; Mount Cæsar Seminary; Belfast Academy; Thetford Academy; Caledonia County Grammar School; the High Schools or Academies in Woodstock, Middlebury, Rut land, Montpelier, Burlington, Bradford, and many other towns in Vt.; the High Schools in Hallowell, Augusta, Waterville and Bangor, and many other distinguished institutions in various parts of the United States; and wherever the work has been introduced, it is still used with great success,—which is deemed a sufficient recommendation. The whole or a part of this series, has been recommended and adopted by the superintending school committees of the principal towns throughout New England, including Andover, Haverhill, Newburyport, Salem, Beverly, Lynn, Portsmouth, Worcester, Springfield, Northampton, Pittsfield, Taunton, Fall River, Pawtucket, Bristol, Marblehead, Duxbury, Kingston, Plymouth, Weymouth, Hingham, Milton, Barnstable, Ipswich, Danvers, Brookline, Newton, Watertown, Medford, Quincy, Dedham, Nashua, Manchester, Concord, Fitzwilliam, Keene, Portland, Bangor, Belfast, Hallowell, Augusta, Waterville, Hartford, Norwich, and in the best public and private schools in various sections of the United States. GREENLEAF'S ARITHMETICs are used in most of the Select Schools and Academies (including the following) in New York City, which are of the first grade. .T. D. & T. W. Porter, Principals. .Charles E. West, Rev. J. J. Owen, Charles Lyon, William Morris, E. H. Jenny, Madame Chegaray, Academy,..J. F. Worth, Select School for Young Ladies, (Brooklyn,). ..J. J. Greenough, .E. L. Avery, ..J. Fanning & H. Cady, George A. Rogers, ..Mrs. Page, ..James Lawson, . A. Crittenden, ..A. Greenleaf, ..... Collegiate and Commercial_School, (Brooklyn,). . . . James G. Russell, Brooklyn Grammar School,· . Walter Chisholm, Principal. This system of Arithmetic is also the text book in the "Normal Schools," male and female,) under the supervision of the Public School Society, and in the Ward Schools in the City of New York, and in various parts of the State. 12 |