JAMES B. THOMSON, LL.D., AUTHOR OF MATHEMATICAL SERIES. ,0 NEW YORK: CLARK & MAYNARD, PUBHISдYRз, 771 BROADWAY AND 67 & 69 NINTH ST. CHICAGO: 46 MADISON STREET. 1885. THOMSON'S NEW ARITHMETICAL SERIES THE NEW YORK ASTOR, LENOX ANS IN TWO BOOKS. 1. FIRST LESSONS IN ARITHMETIC, Oral and Written. Illustrated. (For Primary Schools.) II. COMPLETE GRADED ARITHMETIC, Oral and Written. In one Volume. (For Schools and Academies.) KEY TO COMPLETE GRADED ARITHMETIC. THOMSON'S MATHEMATICAL SERIES LLUSTRATED TABLE-BOOK. NEW RUDIMENTS OF ARITHMETIC. COMPLETE INTELLECTUAL ARITHMETIC. NEW PRACTICAL ARITHMETIC. KEY TO PRACTICAL ARITHMETIC. HIGHER ARITHMETIC. KEY TO HIGHER ARITHMET C. PRACTICAL ALGEBRA. KEY TO PRACTICAL ALGEBRA. COLLEGIATE ALGEBRA. KEY TO COLLEGIATE ALGEBRA. GEOMETRY AND TRIGONOMETRY. (In preparation.} Copyright, 1882, by James B. Thomson. SMITH & MCDOUGAL, ELECTROTYPERS, 82 Beekman St., N. Y. REFACE. THE HE book now offered to the public, unites in one volume Oral and Written Arithmetic upon the inductive method of instruction. Its aim is two-fold: to develop the intellect of the pupil, and to prepare him for the actual business of life. In securing these objects, it takes the most direct road to a practical knowledge of Arithmetic. The pupil is led by a few simple appropriate examples to infer for himself the general principles upon which the operations and rules depend, instead of taking them upon the authority of the author without explana tion. He is thus taught to put the steps of particular solutions into a concise statement, or general formula. This method of developing principles is an important feature. It has been a cardinal point to make the explanations simple, the steps in the reasoning short and logical, and the definitions and rules brief, clear, and comprehensive. The discussion of topics which belong exclusively to the higher depart ments of the science is avoided; while subjects deemed too difficult to be appreciated by beginners, but important for them when more advanced, are placed in the Appendix, to be used at the discretion of the teacher. Arithmetical puzzles and paradoxes, and problems relating to subjects having a demoralizing tendency, as gambling, etc., are excluded. All that is obsolete in the former Tables of Weights and Measures is eliminated, and the part retained is corrected in accordance with present law and usage. Examples for Practice, Problems for Review, and Test Questions are abundant in number and variety, and all are different from those in the Practical Arithmetic. |