THE UNITED STATES ARITHMETIC. The United States Arithmetic: designed for Academies and Schools, By William Vogdes, Professor of Mathematics in the Central High School, Philadelphia. OPINIONS OF TEACHERS. Philadelphia High School, Feb. 18, 1845. I have examined the Arithmetic of Prof. Vogdes with some care, and take great pleasure in bearing testimony to its merits. Its most obvious excellences seem to be the following:-1. It is comprehensive, going fairly over the whole ground of common Arithmetic, without being encumbered with unnecessary details, 2. It is practical, the rules being those in common use in stores and counting houses. 3. The sums are, for the most part, based upon actual facts, and not on mere fictitious transactions. 4. The rules are all foilowed with a neat and clear elucidation, which is of great advantage both to the instructor and the more advanced pupils. 5. Many curious and interesting facts in relation to the history of the science, are interspersed in the work, adding greatly to its value. 6. It is unusually rich in examples. JOHN S. HART, Principal Philadelphia High School. Philadelphia, Feb. 11, 1845. Gentlemen:-I have examined, with some care, the United States Arithmetic, by Prof. Vogdes, which you recently presented me, and I highly approve of his method of arranging the rules and treating the subject matter. The author has, in my opinion, happily succeeded in his design, in furnishing a new Arithmetic, concise, comprehensive, and cheap withal, for the use of Academies and Schools. It seems to me to combine in substance Mr. Emerson's 2d and 3d parts both, at a comparatively small expense. The supplementary questions in Mensuration, I consider not the least among its good properties. Respectfully, W. W. WOOD, Principal of the S. W. Grammar School. Philadelphia, Feb. 17, 1845. Gentlemen:-I have examined The United States Arithmetic, by Prof. Vogdes, of the Central High School, and am favorably impressed with the practical character of the work. The simplicity of the arrangement, the elucidation of the rules, the method of proof, and its demonstration, together with the numerous examples illustrative of each subject, give it a superiority over the generality of arithmetics heretofore published, and adapt it to the capacity of every pupil wishing to acquire a knowledge of Arithmetic suited to the future purposes of life. Yours, &c., WM. S. CLEAVENGER, Principal of Locust Street Grammar School. Philadelphia, Feb. 20, 1845. Gentlemen: -I have examined with much pleasure, "The United States Arithmetic," just published by you, and feel no hesitation in stating, that it is, in my opinion, much better adapted to the purposes of instruction, than any treatise on the subject at present in use. The arrangement is judicious, the rules concise and plain, while the large number of examples, and the rejection of all useless matter, entitle it to a high place in the estimation of every one who prefers utility to inere parade of learning." Prof. Vogdes has conferred a great benefit on the cause of education, by the compilation of a work of so much value. Yours, &c., JAMES MCCLUNE, A. M., Principal of Master Street Grammar School "The United States Arithmetic," by Prof. Vogdes, of the Phila delphia High School, needs no recommendation wherever the author is known. To others it may be proper to state, that this Arithmetic has been evidently drawn up with care and ability. The volume abounds with well selected examples. Rules and processes, which were formerly considered exceedingly valuable, if not indispensable, by Dilworth, Bonnycastle, and Pike, and which have disappeared from some more modern Arithmetics, are here again very properly introduced. The mensuration is certainly an important addition to this book. I trust the work of Prof. Vogdes, will meet with the approbation of a discerning public. TIMOTHY CLOWES, Principal of Jefferson Grammar School. Philadelphia, Feb. 20, 1845, Gentlemen:-Having examined with some care, The United States Arithmetic," I have no hesitation in saying that I think it may be classed among the best works of the kind now in use. The large number of examples under many of the rules, gives it a decided advantage over many others. S. F. WATSON, Principal of Catharine Street Grammar School. Dear Sir:-It affords me sincere pleasure to communicate to you my unqualified approbation of the plan and execution of the work on Arith metic, which you were so kind as to place in my hands. The book fully sustains your reputation as a skilful teacher; equally exhibiting your acquaintance with the wants of the young student, in this department of learning, and your ability to communicate that kind of instruction essential to the formation of business habits. Your mode of treating the subject, with the large number of examples for practice, well adapts the treatise as a text book for our schools; and I trust the Controllers will not hesitate to place it on the list of supplies. Yours truly, A. T. W. Wright, Principal of Model Public Grammar School. Philadelphia, March 1, 1845. In the Gentlemen :-I have examined with a considerable degree of attention "The United States Arithmetic," by Professor Vogdes, and consider it decidedly superior to many works of a similar kind now in use. definitions and rules, language of the most perspicuous kind is used, and the arrangement of question and answer, is admirably calculated to facilitate the labor of both teacher and pupil. It also possesses other striking merits, among which may be enumerated the restoration of several valuable rules to the places from which they have been removed by some of our modern Arithmeticians-a large number of examples for practice,useful Arithmetical tables,—as well as important statistical information. It is destined, I think, to perform important uses, and bids fair to be popular among our teachers, as a standard work.-I intend introducing it to my pupils whenever sanctioned by the Board of Controllers. Yours truly, WM. ROBERTS, Principal of Moyamensing Grammar School. Philadelphia, March 5, 1845. Upon examination of "The United States Arithmetic," compiled by Wm. Vogdes, I consider the work well calculated to facilitate the progress of the learner. It contains more practical matter, and the various rules are more simplified and better explained, than is usual in works of the kind. I therefore feel no hesitation in recommending it to the public, and in particular to the attention of teachers. B. E. CHAMBERLIN. Frincipal of Buttonwood Street Grammar School. |