This document opens with a brief discussion of the views of Jean Piaget and his contributions to psychology. The material moves into a presentation of several research studies that have attempted to look at large and representative samples of adolescent pupils, and presents data for comparison in a cross-cultural context. The main sections cover:…

This is the first unit of a 15-unit School Mathematics Study Group (SMSG) mathematics text for high school students. Topics presented in the first chapter (Structuring Space) include: lines and points; planes; intersections; intersections of lines and planes; betweenness and segments; separation; angles; locating positions and points; coordinates;…

The Comprehensive School Mathematics Program (CSMP) is described as a complete elementary mathematics curriculum that provides a natural place for probability and statistics. The CSMP approach of innovative, pictorial techniques is summarized here, with emphasis on methods and activities seen as proven successful through the enthusiastic reception…

This Comprehensive School Mathematics Program (CSMP) guide is divided into three major parts. The first, General Introduction, contains: (1) CSMP Viewpoint; (2) Program Description; (3) Guidelines for Evaluating the Program; (4) Commonly Asked Questions about the CSMP Curriculum and Suggested Answers, and (5) A Note to the Parents of CSMP…

This is the fifteenth annual listing of research on mathematics education prepared for the "Journal for Research in Mathematics Education." References are organized alphabetically by author within three categories: research summaries, articles, and dissertations. Included are 33 summaries, 220 articles, and 297 dissertations. Studies…

This study assessed the effectiveness of the remedial/developmental mathematics program developed at Ramapo College of New Jersey. Data was gathered from a random sample of 604 students who participated in the program for at least part of the three-year period 1981-84 and for whom both pretest and posttest scores were available in at least one…

This mathematics textbook, written in Portuguese, is designed for second graders. Developed from objectives set forth by the National Portuguese Materials Development Center, it follows closely the objectives and methodology of major curricula used in schools of the United States. The thirteen chapters deal with: numeration (0-999); addition with…

This document provides criteria which are designed to be used by school administrators, professional staff, and community representatives to assess mathematics programs and to provide a basis for establishing goals in teaching mathematics. Other possible uses for the information generated by the criteria include: validation of exemplary programs…

This document is seen as a framework that presents suggestions for mathematics programs to fill the void left with the demise of "new math." The child is identified as the central figure in the educational scene. The material is in two major parts. The first part is a framework for mathematics as revised for 1975, and covers all grades.…

The current status of mathematics education in the Union of Soviet Socialist Republics is reported. The perceptions of Davis and Romberg reflect their own observations and discussions with Soviet educators. Kantowski and Rachlin give their impressions resulting from reading reports on Soviet research techniques and findings. Davis and Romberg…

A usual reaction both from those teaching multiculturalism and those teaching mathematics has been that neither subject has a place with the other. With compassion and effort, both generalists and mathematics teachers can enhance multicultural and mathematical studies. Whether with a homogeneous group representing an indigenous culture, or with a…

This is part three of a three-part School Mathematics Study Group (SMSG) textbook. It contains eight chapters of supplements. Four of these are designed to be supplements to the specific chapters 2, 3, 7, and 10. The other four supplements cover the topics: Determinants; Flow Chart for Two Linear Equations in x and y; Graphs with Non-uniform…

Acquisition of the basic concepts of mathematics such as matching, number and counting, sets and classifying, comparing, measuring, shape, space, and parts and wholes, may be followed by two types of activities. First, the child may subsequently be presented activities that allow for practice and generalization of those acquired concepts.…

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Topics included are numbers; cardinal numbers; geometry of lines, points, and planes; geometry of angles,…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Included are chapters on the rational number system; parallels, parallelograms, triangles, and right prisms;…