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THE MACMILLAN COMPANY
ATLANTA · SAN FRANCISCO
MACMILLAN & CO., LIMITED
THE MACMILLAN CO. OF CANADA, Ltd.
JOHN W. HOPKINS
SUPERINTENDENT OF THE GALVESTON PUBLIC SCHOOLS
P. H. UNDERWOOD
TEACHER OF MATHEMATICS, BALL HIGH SCHOOL, GALVESTON, TEXAS
All rights reserved
COPYRIGHT, 1903, 1907,
BY THE MACMILLAN COMPANY.
up and electrotyped. Published August, 1903.
Norwood, Mass., U.8.A.
This book assumes a working knowledge of the four fundamental rules as applied to integers and United States Money. It contains the essentials of practical arithmetic arranged by topics in conformity with the courses of study in some of the best school systems, each chapter representing a year's work commencing with the fifth grade.
It aims to teach principles rather than rules. As the unitary method is the one most natural to the young learner, the first two chapters give prominence to this style of reasoning. Chapters III and IV give a thorough review of arithmetic principles and practice. In these chapters the method of ratio is brought into prominence. Science to be of value must be more or less deductive in form.
Characteristic features of the book are the early introduction of Decimals, the large number of problems based on the industrial resources of our country, the clearness and directness with which problems are illustrated, and the omission of complicated problems of doubtful utility.
The aim of teaching arithmetic is culture, accuracy, and rapidity in the computation of problems arising in actual life, and the acquisition of correct methods of reasoning. This aim is always kept in view. However, as students possess the power of learning readily to work processes, and, furthermore, as the practice of arithmetic