The Alexander-Dewey Arithmetic

THE

ALEXANDER-DEWEY

ARITHMETIC

INTERMEDIATE BOOK

GEORGIA ALEXANDER

DISTRICT SUPERINTENDENT OF INDIANAPOLIS SCHOOLS

EDITED BY

JOHN DEWEY

PROFESSOR OF PHILOSOPHY IN COLUMBIA UNIVERSITY

The problem is always the same: to interest the pupil,
to induce research, to give him the notion continually,
the illusion, if you please, that he is discovering for
himself that which is being taught him.-M. LAISANT.

LONGMANS, GREEN AND CO.
FOURTH AVENUE & 30TH STREET, NEW YORK
2457 PRAIRIE AVENUE, CHICAGO

1921

käver 119:21, 13 3

HARVARD
UNIVERSITY'
LIBRARY

First Edition, March, 1921

Reprinted August, 1921

PREFACE

THIS series of arithmetics arises from the realization that the mathematics taught in the schools of a democracy must function in:

1. Clear and independent thinking as a preparation for business, science and industry.

2. Skill in mathematical computation.

3. Civic responsibility which will carry into action whatever is needed for the welfare of the community.

That these ends may be accomplished, new arithmetical ideas have been introduced by means of the socialized recitation, thus affording the pupil an impelling incentive, cultivation of initiative and judgment, and a desire to check results. The arithmetical ideas gained through this social introduction are made automatic through scientific practice which later culminates in their application to new concrete situations. Reviews are both constant and varied. Fully fifty per cent of the work is to be performed without pencil. The subject matter is of contemporary interest which brings into the otherwise isolated schoolroom the great world where mathematics are found in every basic activity. The desideratum is an intelligent, responsible, skilful pupil.

The respective contributions of the author and the editor of the series are perhaps sufficiently indicated by the use of these terms. The editor has not confined his attention to allowing the use of his name, but has made suggestions as to the underlying principles, has suggested experiments to be tested in schoolroom practice, has read and criticised the text and is jointly responsible for its present form. The specific problems and principles have been worked out in

the schoolroom under the direct supervision of the author and tested till they were satisfactory. Grateful acknowledgment is made to the score of classroom teachers who have so generously and intelligently aided in testing the various lessons, and to Mrs. John Dewey, who has read the text critically and made valuable suggestions.

CONTENTS

The entire book is based on induction. Special exercises marked (*)
should be assigned for study by the child alone. Exercises marked
(†) are for exceptional classes only.