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Clerk's Office of the District Court of the District of Massachusetts.
MATOR, LENOX ANO GIEENLEAF'S SERIES OF ARITHMETICS. LOON POUNGA MONTAL ARITHMETIC, upon the Inductive Plan, designed for Beginners. By 1 odganjamin Greenleaf, A M., Principal of Bradford (Mass., Teachers' Seminary
2. TO , designed for Common Schools. Fifteenth improved stereotype edition, revised and enlarged.
3. THE NATIONAL ARITHMETIC, for advanced Scholars in Common Schools and Academies. Twenty-fifth improved stereotype edition. 360 pages, full bound.
COMPLETE KEYS TO THE INTRODUCTION AND NATIONAL ARITHME. TICS, containing Solutions and Explanations, for Teachers only. (In separate volumes.)
*** The attention of Teachers and Superintendents of Schools generally is respectfully invited to this popular system of Arithmetic, which is well adapted to all classes of students. The whole or a part of this series has been recommended and adopted by the superintending school committees of the principal towns in New England, and is also used in the best public and private schools in various sections of the United States.
GREENLEAF'S NATIONAL ARITHMETIC is now extensively used as a text-book in many distinguished seminaries of learning, including the following:- The several STATE NORMAL Schools in Massachusetts, under the direction of the State Board of Education; the NORMAL SCHOOLS in New York city; Rutgers Female Institute, New York ; Brooklyn (N. Y.) Female Academy; Abbott Female Academy, and Phillips Academy, Andover; Chauncey Hall School, Boston'; Bradford Female Seminary ; Phillips Academy, Exeter ; Young Ladies' Institute, Pittsfield ; Worcester County High School, Worcester; Williston Seminary, East Hampton, Mass. ; together with the best schools in Boston, New York, Philadelphia, Richmond, Charleston, Savannah, Mobile, New Orleans, and other cities; and wherever the work has been introduced, ú is still used with great success, – which is deemed a sufficient recommendation.
Parker's Progressive Exercises in English Composition.
Class-Book of Prose and Poetry:
The Classical Reader:
Smith's Class-Book of Anatomy :
A Grammar of the Greek Language.
*** Fisk's Greek Grammar is used in Harvard University, and in many other distinguished collegiate and academic institutions in various parts of the United States.
Fisk's Greek Exercises. [New Edition.]
Leverett's Cæsar's Commentaries.
Folsom's Cicero's Orations.
[These editions of Cæsar and Cicero are highly recommended by Prof. John J. Owen.)
Published by ROBERT S. DAVIS, 120 Washington Street, BOS. TON, and sold by all the principal Booksellers throughout the country.
I. Also constantly for sale (in addition to his oron publications), a complete assortment of School-books and Stationery, which are offered to Booksellers, School Committees, and Teachers on very liberal terms.
The National Arithmetic has now been before the public for nearly twelve
and has met with an acceptance far beyond the original expectation of the author. The demand for it has constantly increased, and such has been the encouragement which both the author and the publisher have received from teachers of the highest character, and from the public generally, that the work has been thoroughly revised and very con siderably enlarged, particularly in the department of demon stration, and is now presented in a form which, it is believed, -will greatly increase its value. In the work of revision and enlargement, the author has availed himself of important sug. gestions from many practical teachers, and has had the direct assistance of gentlemen intimately acquainted, not only with the business of teaching Arithmetic, but also with the higher branches of Mathematics. His own labors in this work have been hardly less than in the original preparation of the book, and he is confident that the improvements introduced into the present edition will be seen and appreciated by all who may compare it with preceding editions.
It has been the author's privilege, for more than thirty years, to be engaged in the business of instruction. He has been acquainted with the methods of communicating knowledge which were formerly practised, and has endeavoured to make himself familiar with all the improvements in this respect which distinguish the present age from the past. The present work is offered to the public, as one constructed on a plan which appears to the author better adapted to meet the wants of the times than any other now in use.
The end to be sought in the study of Arithmetic he regards as twofold, tical knowledge of numbers and the art of calculation, and the discipline of the mental powers; and the present work, it is believed, will be found fitted to these two objects. It is intended to be comprehensive in its principles, and sufficiently extensive in its details; and while the road to a knowledge of
the science is not designed to be unnecessarily steep and rug. ged, the author does not desire to relieve the learner of all occasion for effort, nor make him feel that the “Hill of Sci
” is no hill at all, but only a fiction of former ages. The author's idea is, that, in order to become a thorough and accomplished arithmetician, one must study, and the National Arithmetic proposes no substitute for mental exertion. Still, it is not designed to be difficult beyond the necessities of the case, and no pupil, who is faithful to himself, will, it is thought, find reason to complain that enough is not done by way of suitable illustration to facilitate his progress.
It is the opinion of some teachers, that no rules should be furnished the pupil to aid him in performing arithmetical questions, but that every pupil should form his own rules by the process of induction. But the author's experience has led him to a different conclusion, nor does he think that the insertion of proper rules, in a work like the present, interferes in the least with the necessity of study, or a thorough knowledge of the different numerical processes.
The National Arithmetic is intended to be complete in itself; but the smaller works of the author will prepare the pupil for an easy entrance upon the study of it. The learner can omit the more difficult parts of the present work until he reviews it, if thought advisable by the teacher.
A few rules, which are omitted in some works on Arithmetic at the present day, the author has thought best to retain, such as Practice, Progression, Position, Permutation, &c. For, though these rules may not in themselves be of great practical utility, yet, as they are well adapted to improve the reasoning powers, and give interest to the higher departments of arithmetical science, it is deemed desirable to place them within reach of the student.
In closing these prefatory remarks, the author would earnestly recommend that the pupil be required to give a minute and thorough analysis of every question he performs, at least until he has proved himself familiar with all the principles involved in the rule under consideration, and also the manner of their application. He would further recommend a frequent and thorough review of the parts of the work which the pupil has gone over, the exercise having respect mainly to the principles involved in the preceding rules and examples.
Bradford Seminary, September 1, 1847.
24 - 29
13. United States Money. Addition, Subtraction, Multipli-
67 - 77
Bills in English Money
81 - 83
Questions to be performed by Analysis
88 - 89
Mensuration of Solids and Superficies
316 - 327
340 - 341
82. Strength of Materials
83. Astronomical Problems
345 - 347
84. Miscellaneous Questions
347 – 354
APPENDIX. Weights and Measures
355 – 360