Guidelines are presented for modifying basic instruction of subtraction facts for elementary level learning disabled students. A detailed case study is used to illustrate a five-step structured program: (1) find a way to work it out; (2) add to check; (3) learn the partner facts; (4) study families of facts; (5) review and practice. The selection…

In the fall of 1966, the School Mathematics Study Group embarked upon a four-year longitudinal study of mathematical learning in the primary grades, the Elementary Mathematics Project (ELMA). The primary purpose of the study was to assess children's progress in learning particular mathematical ideas during the beginning school years. This volume…

In the fall of 1966, the School Mathematics Study Group embarked upon a four-year longitudinal study of mathematical learning in the primary grades, the Elementary Mathematics Project (ELMA). The primary purpose of the study was to assess children's progress in learning particular mathematical ideas during the beginning school years. This volume…

In the fall of 1966, the School Mathematics Study Group embarked upon a four-year longitudinal study of mathematical learning in the primary grades, the Elementary Mathematics Project (ELMA). The primary purpose of the study was to assess children's progress in learning particular mathematical ideas during the beginning school years. This volume…

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

In this text, the writers have relied on the SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Chapters 5 through 10 are included in this part. Chapter topics include: (5) Recognizing Geometric Figures; (6) Place Value and Numeration; (7) Addition and…

This volume was prepared by the School Mathematics Study Group (SMSG) to help elementary teachers develop a sufficient subject matter competence in the mathematics of the elementary school program. Background material for related SMSG materials for grades four through eight are included. Chapters in the book are: (1) What is Mathematics; (2)…

This volume was organized at the request of the SMSG Panel on Research for their use in identifying needed research in mathematics education. The five papers provide a review of research in each of their areas up through early 1969. Papers included are: (1) Attitudes Toward Mathematics, by Lewis R. Aiken, Jr.; (2) Classroom Teaching of…

Solution processes for simple arithmetic word problems are examined in three dimensions: the order of mention, the identity of the unknown, and the type of verb. The influence of mathematical and linguistic factors in these processes are discussed. (BJG)

With contingency reinforcement, students with externally imposed or self-determined academic standards did comparable work. When contingent reinforcement was dropped in an extinction phase, external imposition subjects tended to outperform self-determination subjects. Experiment serves to demonstrate the utility of self-management as an…

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…

Ways in which the emerging field of cognitive science can have a major impact on practical education are demonstrated by an overview of two projects: the work on Socratic tutoring by Collins and Stevens, and the diagnosing students' misconceptions in arithmetic by Brown and Burton. These two projects are cited as examples of how the techniques of…

A BIBLIOGRAPHY OF BOOKS, PAMPHLETS, AND MAGAZINES WHICH WILL ASSIST THE ELEMENTARY SCHOOL TEACHER IN BUILDING A BACKGROUND FOR UNDERSTANDING THE CHANGES IN ELEMENTARY SCHOOL MATHEMATICS IS PRESENTED. NUMBER LINES, FRACTIONS, AND FUNDAMENTAL CONCEPTS ARE IMPORTANT TOPICS IN MANY OF THE PUBLICATIONS. A LISTING OF NINE PROGRAMS FOR TEACHING NEW…

THE FIRST SECTION OF THIS BOOK COVERS THE HISTORICAL AND CULTURAL BACKGROUND OF THE SAN CARLOS APACHE INDIANS, AS WELL AS AN HISTORICAL SKETCH OF THE DEVELOPMENT OF THEIR FORMAL EDUCATIONAL SYSTEM. THE SECOND SECTION IS DEVOTED TO THE PROBLEMS OF TEACHERS OF THE INDIAN CHILDREN IN GLOBE AND SAN CARLOS, ARIZONA. IT IS DIVIDED INTO THREE PARTS--(1)…