This book attempts to integrate many of the major and recent research findings in mathematics education into a practical guide to mathematics teaching. It includes a variety of ideas and activities for the prospective and in-service teacher of elementary and junior high school mathematics. The book contains chapters on: (1) the nature of…

This handbook is intended to contribute to the development of a theory of remedial instruction that can be easily understood and assimilated by teachers. The document evolved from research and workshop activity over a period of several years. It is designed for use by those with instructional or supervisory reponsibilities in elementary schools,…

This document is the second of three volumes of the proceedings an international seminar which focused on student misconceptions in science and mathematics as well as teaching strategies intended to deal with those misconceptions. An introduction to the volume explains the format of the conference and the organization of the sessions. It stresses…

This document asserts that mathematics is becoming essential to many more disciplines. The paper is an attempt to describe the sorts of curricular changes which many mathematics educators are now recommending. The paper discusses: (1) mathematical power; (2) mathematics instruction; (3) new research directions; (4) mathematical thinking and…

This report summarizes the activities and findings of a focus group study of teachers' perceptions of the Montgomery County (Maryland) Public Schools instructional program in reading language arts and the instructional system in mathematics. Two groups were organized to provide information to the school program planners to help them in revising…

Deciding how to approach a word problem for solution is a critical stage of problem solving, and is the stage which frequently presents considerable difficulty for novices. Do novices use the same information that experts do in deciding that two problems would be solved similarly? This set of four studies indicates that novices rely more on…

This book contains 15 chapters: (1) "Teaching Problem Solving"; (2) "Using Calculators and Computers in Elementary School Mathematics"; (3) "Organizing for Instruction"; (4) "Teaching Numeration of Whole Numbers"; (5) "Teaching Numeration of Common and Decimal Fractions"; (6) "Teaching Addition and Subtraction of Whole Numbers"; (7) "Teaching…

This study sought to determine the effectiveness of self-instructional strategy training on the addition and subtraction problem-solving skills of four upper elementary-level learning-disabled students, and to evaluate maintenance and generalization of the trained skills. Each subject received individual criterion-based training in…

This handbook has been structured to provide teachers (K-2) with the most recent research on problem solving. It contains information and practical applications which deal with the key concepts of problem solving in mathematics. The handbook consists of four sections. The first section establishes the background and gives the purposes of the…

There is a serious risk that the extra burden of adding instruction about microcomputers and software to regular elementary school curricula may turn off both teachers and students to the potential that microcomputers have for improving learning. To counter this risk, microcomputers should be integrated into the regular instructional program of…

The objectives of this study were to: (1) develop a working model based on Pierre van Hiele and Dina van Hiele-Geldof's five levels of thought development in geometry; (2) characterize the thinking in geometry of sixth (N=16) and ninth (N=16) graders in terms of these levels (examining at what level they are at, if they show potential for progress…

Four resource units are included in this document. For each, general objectives on knowledge and concepts, skills, and attitudes are given; content is outlined; and some suggestions for initiating the unit are listed. The first unit, on measuring length, provides six lesson plans, to teach about the meter, the smaller units of the meter, units…

Twenty-seven activities have been compiled to assist teachers in incorporating environmental methods and techniques into their preschool curricula. These activities are designed to complement the classroom curriculum and heighten participant awareness and appreciation of environmental resources and relationships. Each activity includes: (1)…

When students make the transition from elementary school to junior high school, they experience abrupt organizational changes in their school environment. The hypothesis that social comparison processes mediate the relation between ability grouping practices in mathematics and students' achievement expectancies was tested in a longitudinal sample…

This book is organized in three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available…