Adapted to Primary, Intermediate, Grammar, and High Schools,
Academies, and Normal Schools; and in accordance

with the best modern methods of instruction.

NEW AND CAREFULLY REVISED EDITIONS, RECENTLY PUBlished.

I. THE NEW PRIMARY ARITHMETIC

Constitutes attractive and interesting First Lessons in numbers, and contains all the pupil needs as preparatory to the next book in the series. In order that the reasoning of some of the principal processes might be the more apparent to the beginner, pictures of objects have been, to some extent, introduced. After these, counters are employed, as unit marks; and then follow lessons without any such aids, that the learner may early acquire the habit of depending upon mental resources alone for the solution of problems. 72 pages, 18mo. Retail price, 12 cents.

II. THE INTELLECTUAL ARITHMETIC,

As an advanced course of exercises, inductive and analytic, it is thought, will fully meet the requirements of the highest standard of mental culture. It has been the constant aim of the author, in its preparation, to unfold inductively the science of numbers in such a series of progressive intellectual exercises as should awaken latent thought, encourage originality, give activity to invention, and develop the powers of discriminating justly, reasoning exactly, and of applying readily results to practical purposes. The advanced exercises in the fundamental processes of the science, given towards the end of the book, constitute a feature peculiar to this work. 154 pages, 18mo. Retail price, 20 cents.

III. THE COMMON SCHOOL ARITHMETIC

Contains all the important rules of common arithmetic, with their practical applications, and is ample to prepare the student for all ordinary business transactions. It is a complete system in itself, though not so extensive as the National Arithmetic. 324 pages, 12mo. Price, 50 cents.

IV. THE HIGHER ARITHMETIC, or NATIONAL ARITHMETIC,

New electrotype edition, with additions and improvements, contains a greater amount and variety of matter strictly connected with the science, than will be found in any other treatise of the kind. It embraces a large amount of mercantile information not usually included in works of this nature, but important to be possessed by all who are destined for the warehouse or counting-room. As a text-book for advanced or normal classes, it has no equal. 444 pages, 12mo. Retail price, 75 cents.

V. THE PRACTICAL TREATISE ON ALGEBRA

Furnishes what has hitherto been much desired, -a thorough practical and theoretical text-book, suited to the wants of advanced Schools and Academies, in a single volume of convenient size. Very comprehensive in its plan and details, and progressive in its gradation of problems, it occupies the ground sometimes given to two different books. Its seyeral demonstrations, especially those connected with the roots, the method of solving cubic equations by completing the square, and the very complete Table of Logarithms, are among its useful distinctive features.

The book has now been fully tested in the school-room, and the testimony of teachers is that its merit is fully equal to that of the Arithmetics by the same author, and to which it proves the best and most appropriate sequel. 360 pages, 12mo. Retail price, 75 cents.

VI. THE ELEMENTS OF GEOMETRY,

Designed for Academies and High Schools, to form a volume of about 300 pages, 12mo, now being prepared with great care, it is believed, will fully meet the demands which it is intended to supply. The work will be published early in 1858. Retail price, 75 cents.

Teachers who may desire specimens of the above series, and will remit the publishers the prices annexed, in post-office stamps, shall be supplied, postage prepaid.

COMPLETE KEYS TO THE COMMON SCHOOL, NATIONAL ARITHMETIC, AND ALGEBRA, containing Solutions and Explanations, are published, for the convenience of Teachers only. Two editions of the NATIONAL ARITHMETIC, and also of the COMMON SCHOOL ARITHMETIC, one containing the ANSWERS to the examples, and the other without them, are published. Teachers are requested to state in their orders which edition they prefer.

Greenleaf's Arithmetics and Algebra are no untried books, or of doubtful reputation. No other works of the kind have, in the same time, secured so general an introduction in all parts of the United States, or been as highly commended by eminent teachers and mathematicians.

Constantly on hand a complete assortment of SCHOOL AND CLASSICAL BOOKS, which are offered to Teachers and others at the lowest market prices.

DESCRIPTIVE CATALOGUES of all our VALUABLE SCHOOL TEXTBOOKS furnished by mail, on application to the publishers,

ROBERT S. DAVIS & Co.,

No. 118 Washington Street, Boston.

PREFACE.

THE first volume of the American Educational Year-Book was published in 1857. Its object was to give brief and comprehensive sketches of the history of public education in the different parts of our country, and to present such statistics as would enable the reader to judge of the progress and comparative value of these various systems of free instruction. An attempt has been made in the second volume to bring down the history to the present time, and to record the changes that have taken place during the past year. The publishers, induced by the flattering reception which the work has already met, have also endeavored to procure statistics of some of the most prominent educational institutions in the country, sketches of learned societies, and brief outlines of the different plans of public instruction pursued in some of the large cities of the United States. It was impossible, in the short time allowed to the compiler, to obtain these fully or satisfactorily. In fact, it has not been attempted to any great extent except in the New England States. The publishers hope, however, in the next issue, to continue the same plan throughout the volume, and thus to furnish a valuable directory to all persons engaged in literary and scientific pursuits.

Charles

In the preparation of the present volume the thanks of the publishers are especially due to the following gentlemen, who have furnished the entire articles relative to education in their respective States: Hutchins, Esq., of Providence, R. I.; James Cruikshank, Esq., of Albany, N. Y.; Dr. A. H. Grimshaw, of Wilmington, Del.; J. F. Cann, Esq., of Savannah, Ga.; F. A. P. Barnard, LL.D., Oxford, Miss.; George B. Stone, Esq., of Indianapolis, Ind.; John M. Gregory, Esq., of Ann Arbor, Mich.; and James L. Enos, Esq., of Cedar Rapids, Iowa. Much valuable

assistance has also been rendered by Hon. Mark H. Dunnell, of Norway, Me.; Jonathan Tenney, Esq., of Boscawen, N. H.; Hon. Geo. S. Boutwell, Hon. John D. Philbrick, and John Ward Dean, Esq., of Boston, Mass.; Hon. Henry Barnard, of Hartford, and Charles Northend, Esq., of New Britain, Conn.; Wm. F. Phelps, Esq., of Trenton, N. J.; Hon. Calvin H. Wiley, of Greensboro', N. C.; Hon. Wm. F. Perry, of Montgomery, Ala.; Andrew J. Rickoff, Esq., of Cincinnati, O.; J. Berrien Lindsley, A.M., President of Nashville University, Tenn.; Wm. H. Wells, Esq., of Chicago; Richard Edwards, Esq., of St. Louis, Mo.; and many others, whose kindness is hereby gratefully acknowledged.

The compilation and general arrangement of the work has been in charge of A. M. Gay, Esq., of Boston.

The American Educational Year-Book will hereafter be issued regularly on or near the fifteenth of February in each year. All statistical or other information which properly comes within the scope of a work of this character is respectfully and earnestly solicited.

Communications should be addressed to the Publishers,

BOSTON, February 15, 1858.

JAMES ROBINSON & Co.

PERSONS wishing to have the first volume of the "Year-Book," for 1857, can have it sent to them by remitting fifty cents in postage-stamps.