0 NEW RUDIMENTS OF ARITHMETIC: COMBINING MENTAL AND SLATE EXERCISES FOR INTERMEDIATE DEPARTMENTS. BY JAMES B. THOMSON, LL. D., AUTHOR OF DAY & THOMSON'S ARITHMETICAL SERIES; EDITOR OF DAY'S NEW YORK: CLARK & MAYNARD, PUBLISHERS, 5 BARCLAY STREET. CHICAGO: 46 MADISON STREET. HARVARD COLLEGE LIBRARY FROM THE GIFT OF CHARLES HERBERT THURBER THOMSON'S NEW GRADED SERIES. IN THREE BOOKS. I. NEW MENTAL ARITHMETIC. (For Primary Departments.) NEW RUDIMENTS OF ARITH- III, NEW PRACTICAL ARITHMETIC. (For Grammar Departments.) THOMSON'S SUPPLEMENTARY COURSE, FOR HIGHER INSTITUTIONS. (In preparation.) Entered according to Act of Congress, in the year 1872, by In the Office of the Librarian of Congress, at Washington, D. C. Electrotyped by SMITH & MCDOUGAL, 82 Beekman Street, N. Y. PREFACE. THE "New Graded Series," of which this is the second book, is divided into three parts. The object of this arrangement is convenience and economy. While there may be objections to an "indeterminate series of school-books," it must be admitted that exercises in reading, arithmetic, etc., which are adapted to the capacity of beginners, are totally unfit for advanced classes. In view of this fact, it requires no arguments to show that a "limited series," adapted to the different capacities of learners, is a dictate of common sense. Each book in this Series is complete in itself. The definitions and principles, so far as each extends, are expressed in the same language, but the examples are all different. The present work consists of a course of Mental and Written Exercises combined. It is designed: Ist. To develop the elementary principles of the science. by oral examples. 2d. To familiarize the pupil with the application of these principles to the solution of problems requiring the use of the slate. 3d. To lead him to generalize the principles thus developed, and to put the steps of particular solutions into a concise statement, or General Rule. 4th. To secure accuracy and rapidity in the combination of numbers. Finally, the work is specially adapted to intermediate classes, who are beginning to "cipher." The New Rudiments, it is hoped, may facilitate the progress of pupils, and merit the approval of teachers. JAMES B. THOMSON. NEW YORK, July, 1872. |