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IN TWO BOOKS.

A
COMPLETE

GRADED
ARITHMETIC,

ORAL AND WRITTEN,

UPON THE

INDUCTIVE METHOD OF INSTRUCTION.

FOR SCHOOLS AND ACADEMIES.

BY

JAMES B. THOMSON, LL.D.,

AUTHOR OF MATHEMATICAL SERIES,

NEW YORK:
CLARK & MAYNARD, PUBLISHERS,

734 BROADWAY.
CHICAGO: 46 MADISON STREET,

THOMSON'S NEW ARITHMETICAL SERIES

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.

(For Teachers.)

THOMSON'S MATHEMATICAL SERIES.

ILLUSTRATED TABLE-BOOK.
NEW RUDIMENTS OF ARITHMETIC.
COMPLETE INTELLECTUAL ARITHMETIC.
NEW PRACTICAL ARITHMETIC.
KEY TO PRACTICAL ARITHMETIC.
HIGHER ARITHMETIC.

KEY TO HIGHER ARITHMETIC.
PRACTICAL ALGEBRA.
KEY TO PRACTICAL ALGEBRA.
COLLEGIATE ALGEBRA.
KEY TO COLLEGIATE ALGEBRA.

GEOMETRY AND TRIGONOMETRY. (In preparation.)

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THE 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 explanation. 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 departments 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 All that is obsolete in the former Tables of Weights and Measures is eliminated, and the part retained is corrected in accordance with present law and usage.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,

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