OF TEACHING ARITHMETIC BY JAMES ROBERT OVERMAN, A.M. HEAD OF MATHEMATICS DEPARTMENT, STATE NORMAL COLLEGE, BOWLING GREEN, OHIO LYONS AND CARNAHAN CHICAGO NEW YORK . PREFACE This book, as its title indicates, is a discussion of principles and methods of teaching arithmetic. A complete study of methods of teaching any subject involves two things (a) A study of guiding principles, and (b) A study of the details of method-of possible methods of presenting the various parts of the subject. The best place to study the details of method is in connection with a review of subject matter, but such a study should be preceded or accompanied by a study of general principles. It is the purpose of this book to do three things (a) To give a clear conception of the ends to be accomplished through the work in arithmetic (b) To analyze the teaching of arithmetic into the different kinds or types of teaching that occur in the subject and to give an understanding of guiding principles and a knowledge of possible methods of procedure, tools and devices to be used in each of these types; and (c) To make clear, by means of numerous illustrations and lesson plans, how these general principles and methods of procedure apply to the teaching of the particular subject of arithmetic. The material of this book has all been developed and used in the author's classes during the last six years, and is presented here in book form in the hope that it may contribute something toward improving and standardizing the teaching of arithmetic. It is believed that this book will be found suitable for use as a text for normal schools and teachers' reading circles. The author wishes to acknowledge his indebtedness to the books referred to in the text and bibliographies, to |