This study investigated the relationships among student and group characteristics, group interaction, and achievement in cooperative small groups. Seventy-seven students in two junior high school mathematics classrooms learned a two-week unit on exponents and scientific notation in mixed-ability or uniform-ability groups. Interaction in the groups…

This collection of activities for pupils in elementary school mathematics is designed to help pupils develop skills without the usual negatives that accompany drill and practice. The practice provided is for the skills that need to be learned in order to attain the goal of acquiring the ability to solve problems. Each activity opens with a concise…

Interpretations of findings of three National Science Foundation (NSF) surveys are presented. These surveys included a large-scale survey of teachers and administrators, case studies of individual schools, and a review of the literature. The first part of the document, Mathematics Teaching Today in the Elementary and Middle School, is subdivided…

Presented are articles selected from the "Arithmetic Teacher" and the "Mathematics Teacher," designed to supply teachers with meaningful and useful learning activities that can be adapted to specific classroom needs. The following major strands in mathematics are covered: (1) Counting and Place Value; (2) Whole Numbers and Integers; (3) Number…

Presented are ways to teach pupils the concept of "sphere" with a methodology far removed from memorization of a formal definition of the concept. The material illustrates an approach to teaching that focuses on open exploration of ideas with children. Many experiments and starting points for exploration are suggested. This document has…

This compilation of reprinted activities is organized into five sections around the following topics: computational skills, calculators, geometry, measurement, and problem solving. The "Activities" section has been a regular feature of the Mathematics Teacher since 1972, and space limitations prohibited the inclusion of all previously published…

The view that geometry should be taught at every grade level is promoted. Primary and elementary school children are thought to rarely have any direct experience with geometry, except on an incidental basis. Children are supposed to be able to learn geometry rather easily, so long as the method and content are adapted to their development and…

This document is written for middle school teachers of grades five through nine who do not have specialized backgrounds in geometry. It is arranged in three parts. The first part provides a brief overview of the geometry curriculum of the middle school that includes the present state of affairs, a rationale for inclusion of geometry in the…

This document addresses issues raised during the Research on Teaching Mathematics Conference, examining them in view of the central tenets of the Institute for Research on Teaching at Michigan State University. It explains why teacher judgment is the focus of IRT research and discusses the concept of "the wisdom of the practitioner,"…

Presented is a listing of books recommended by the Mathematical Association of the United Kingdom that deal with mathematics education background and reference. The following information on each book is provided: author; title; publisher; cost to the nearest pound; categories of use; and a code that indicates if the book in question is out of…

This student manual is concerned with the practical application of mathematics as used by masons. The manual's design allows students to work at their own pace. Included in each of the five units are individual lesson sheets with written instructions and explanations. Each information sheet states that topic's objectives, information about the…

Research carried out during the year focused on meeting project objectives in three main areas: computer-generated speech, complex teaching programs with audio, and teaching reading with audio. Work on computer-oriented speech was concerned with improving the facilities and procedures for utilizing the speech system software and the Micro Intoned…

This booklet is a basic introduction to energy and energy usage. The first chapter discusses various forms of energy and how they are measured and converted from one to another with a unit conversion chart included. Tables and figures list annual energy requirements of household electrical appliances and energy requirements for houses with various…

The papers presented in this annual reading conference report focus on various aspects of the topic, "The Reading Environment." The opening address advocates establishing reading programs that correspond to the developmental stages of individual children--programs that consider the needs of the whole child. The other papers delivered at the…

This guide is the seventh teachers' guide developed by the Division for Curricular Services and the Bureau of Mathematics Education in cooperation with the Division of Federal Education Opportunity Programs, ESEA Title I. It contains 100 mathematics activities within 37 pages for primary students. The activities are planned for teachers to use…