The main purposes of the seminar were to examine the present status of school mathematics problem solving; to explore classroom practice and what is known about research; to compare the situations appearing in textbook word problems; and to make plans for cross-cultural research in both countries. A paper from each country was presented during the…

The first chapter of this text for an independent study course on computers and problem solving provides an overview of computers in education which focuses on the three main instructional uses of computers in schools--learning about computers, the computer-as-tool, and computer-assisted instruction. Using a workshop format, chapter 2 discusses…

The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…

This publication contains seven papers by the staff of the University of Exeter School of Education and by invited outside contributors. The focus is on issues that consider the social context of mathematics. The papers are: (1) "Images of Mathematics" (Leone Burton); (2) "Of Course You Could be an Engineer, Dear, but Wouldn't You…

Third of a four-part series, this article presents an instructional plan for teaching the place value notation concept, base ten, to preschool and elementary school children. After a brief review of the place value notation concept, contents describe an integrated and progressive series of four game-like activities which are fundamentally overt…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…

This collection of readings is primarily addressed to the teachers of the academically talented in mathematics. The readings touch upon a variety of topics, with a special focus on problem solving, applications and mathematical structure. The introductory article discusses the role of enrichment in teaching mathematics. The remaining four sections…

This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…

These training materials are designed to stress the importance of a close relationship between concepts and skills when teaching mathematics to young children, to present material on the important area of problem-solving, and to encourage adults to use a wide range of appropriate techniques in evaluating their work and children's work in…

This three-part volume addresses topics and issues related to the education of secondary school mathematics teachers. The first part focuses on six contemporary trends in secondary school mathematics which bear heavily upon initial training. They include: the current concern for problem-solving; the influences of environmental change on…

The Sequential Mathematics Sequence provides students with an integrated course of study, including lessons which interweave algebra, geometry, logic, probability, and mathematical systems. This handbook is designed to meet the needs of teachers who will be teaching Course III in the sequence. The handbook, for use with staff development programs,…

This document presents 20 activities for grade 1 students and emphasizes using a calculator. It is related to topics from a primary mathematics curriculum. Mathematical topics addressed include counting, addition and subtraction, the commutative property, greater than and less than, and place value. Each activity includes a statement of skills to…

When student achievement lags expectations, explanations are usually sought. One possibility is that the curriculum, as taught, is out of line with what is needed, and many feel that careful descriptions of the implemented curriculum are in short supply. Elementary school mathematics is used as a context for considering what can be learned from…

A study was conducted at the University of Maine at Orono (UMO) to examine gender differences with respect to mathematical problem-solving ability, visual spatial ability, abstract reasoning ability, field independence/dependence, independent learning style, and developmental problem-solving ability (i.e., formal reasoning ability). Subjects…

This document consists of eleven bulletins which present answers to questions about research on the teaching and content of elementary school mathematics, K-8. The bulletins are revisions of a set originally published in 1970 and revised in 1975. Specific research findings on eleven topics are cited with selected references. Titles are: (1)…