In connection with the formative evaluation of the Developing Mathematical Processes (DMP) curriculum, interviews were conducted with teachers in grades 1-3 at the beginning of the school year and after concluding each of the 10 topics on addition and subtraction. The topics had been especially prepared for a classroom observational study. The…

This is a guide for use in semester-long courses in Elementary Functions and Analytic Geometry. A list of entry-level skills and a list of approved textbooks is provided. Each of the 18 units consists of: (1) overview, suggestions for teachers, and suggested time; (2) list of objectives; (3) cross-references guide to approved textbooks; (4) sample…

This document was developed to stimulate others to attempt the writing of a mathematics-based core curriculum. It contains the following sections: (1) The Definition of a Core Curriculum; (2) Reasons Why One Should Use or Not Use a Core Curriculum in a Teaching-Learning Situation; (3) The Thoughts of Other Educators Concerning A Math-Based Core…

The following approaches to mathematics education, represented in German-speaking countries mainly, are analyzed: (1) the structuralist/formalistic approach; (2) the genetic approach; (3) the approach by elementarization; (4) the problem-solving approach; (5) the approach of Freudenthal; (6) the approach by project-orientation; (7)…

The Comprehensive School Mathematics Program (CSMP) materials presented here were in the process of development at the time of publication. It is noted that children generally classified as slow learners are, in many cases, pupils who have had unhappy experiences with learning. The instructional approach is designed to: (1) inspire pupils with a…

This material describes two games, Minicomputer Tug-of-War and Minicomputer Golf. The Papy Minicomputer derives its name from George Papy, who invented and introduced it in the 1950's. The Minicomputer is seen as an abacus with the flavor of a computer in its schematic representation of numbers. Its manner of representation combines decimal…

TOPS, a set of materials designed to improve problem solving instruction, was evaluated in two large urban school districts from Fall 1980 to Spring 1982. At Site A, the program was implemented at the middle school level (grades 5-8), where most mathematics teachers were specialists; they accepted the problem-solving activities after some initial…

This booklet was designed to provide information on secondary school mathematics courses being developed or revised, reinforcing a National Council of Teachers of Mathematics recommendation calling for "a flexible curriculum with a greater range of options." A survey of mathematics supervisors led to the identification of over 450 persons who…

A comprehensive list of concepts and skills for mathematics in kindergarten through grade 8 is provided. The 350 items have been logically organized and sequenced under five major topics: (1) number systems; (2) sets; (3) geometry; (4) measurement; and (5) other mathematical topics. Concepts that are related are cross-referenced by the assigned…

Suggestions for using four-function calculators, programmable calculators, and microcomputers are considered in this collection of 36 articles. The first section contains articles considering general implications for mathematics curricula implied by the freedom calculators offer students from routine computation, enabling them to focus on results…

This assessment was designed to evaluate students' achievement in and attitude toward mathematics, document changes in achievement by comparing the 1981 results to those obtained in 1977, and survey teachers of mathematics. The assessment was also directed toward identifying and clarifying different models for the mathematics curriculum. This…

Presented is a description of the study, an analysis of major findings, and recommendations directed towards those who share in the continuing task of improving the teaching of mathematics in British Columbia. The assessment was designed to evaluate students' achievement in and attitude toward mathematics, document changes in achievement by…

This is the 12th annual listing of research on mathematics education. The research noted is alphabetically organized by author(s) within the following three categories: (1) research summaries; (2) journal-published reports; and (3) dissertation abstracts. Grade or age level is indicated for each reference. Included in the listing are studies in…

Research on routine problem solving (e.g. the typical "story" problem) was reviewed to facilitate the identification and dissemination of promising practices for teaching routine problem solving, and to provide suggestions and directions for further research in the area. Promising teaching practices which were identified included giving attention…

This guide was developed by the Albany area schools in recognition of the different needs, learning rates, and abilities of students. Three major areas of mathematics (computational skills and concepts, problem solving, and measurement) are included. A master list of competencies and performance indicators is given, as well as a list of…