The textbook is intended for students who know the number from one to ten. The purpose of the textbook is to conform numbers in their facts and principles to the usual processes and powers and interests of children's minds. The graded reader has opened the way for the graded arithmetic. Grading all books is part and parcel of the new education,…

The purpose of this book is twofold: to supply the teacher with material for class instruction; and to provide a text-book for children to study as soon as they know how to read. The course herein begins with the number ten and proceeds by hundreds and thousands to one million, teaches the elementary facts of fractions and parts of numbers,…

This textbook is third in a series of arithmetic books that apply the principles discovered by the psychology of learning, by experimental education, and by the observation of successful school practice, to the teaching of arithmetic. The general course, which ends on page 241, is followed by exercises in understanding and using tables and an…

This textbook aims to develop the main thoughts in elementary mathematics in such a way as to show the relation of its various subjects and thereby trace their relation to each other. The book also attempts to present the principles of physics in a simple and orderly fashion so that the reader may get clear and accurate ideas concerning mechanics,…

This textbook is a teacher's manual for numbers and arithmetic. The oral lessons in number presented in this manual are illustrative lessons for the guidance of teachers. The exercises are given in detail, to indicate clearly the nature and scope of the instruction which should be given each year. This manual also contains numerous blackboard and…

This textbook is part of a series designed to give an elementary school child all the arithmetical power necessary to cope with the situations of common everyday life. This book covers fundamental elements of arithmetical manipulation and thought. Thus, a child who goes no farther than the fourth or fifth grade will be so familiar with essentials…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

During the twentieth century, major changes occurred in conception of arithmetic as a school subject. These changes resulted from both the study of arithmetic itself and from influences from movements and developments outside the subject matter; and they have affected both the content of arithmetic and the methodology of presenting that content to…

This textbook is second in a series of arithmetic books that apply the principles discovered by the psychology of learning, by experimental education, and by the observation of successful school practice, to the teaching of arithmetic. Parts One and Two are intended for grades five and six respectively. Part One provides for mastery of the four…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

This textbook's goal is to train and develop the mind by means of the science of numbers. Numbers are the instruments here employed to strengthen the memory, to cultivate the faculty of abstraction, and to sharpen and develop the reasoning powers.

Articles published in the journal "The Arithmetic Teacher" in 1954-55, 1969, and 1986-88 were analyzed to assess the development of the journal. Note is made of such factors as size, cost, and appearance. Of greater concern is the focus. In the 1954-55 issues, a pragmatic philosophy of education, with emphasis on the usefulness of mathematics and…

This textbook is first in a series of arithmetic books that apply the principles discovered by the psychology of learning, by experimental education, and by the observation of successful school practice, to the teaching of arithmetic. Part One of this book is for use as a supplement to the informal work of grade two, and as a basic text in grade…

This textbook is a course in elementary arithmetic. It stresses mental as well as written exercises. Addition and subtraction are first presented together, and later multiplication and division.

This textbook is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results. This work presents at first the idea of numbers connected with visual representations of objects; afterward, when…