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)…

This guide is designed for the college instructor who plans to use some of the 12 units of the Mathematics-Methods Program. The program is based on three assumptions about the teaching and learning of mathematics: (1) Mathematics content and methods should be combined in the training of prospective elementary school teachers; (2) Mathematics…

Recognizing that the interest in improving basic skills in public education presents another opportunity for parents to become educators of their children, this sourcebook offers parents suggestions for initiating and continuing their involvement with the basic education of their children in grades 1 through 8. The guide is divided into sections…

To probe a psychological theory of educational productivity, background measures along with mathematics test scores and motivational measures of over 7,000 students (9-, 13- and 17-year olds from National Assessment of Educational Progress samples) were statistically related to each other and to indicators of constructs that prior research shows…

Since its inception, Project Mathematics Anxiety Reduction Training (Project MART) has assisted community college students enrolled in career programs attain sufficient skill and confidence in mathematics so as not to limit their occupational options. Given the realities of the community college, MART has attempted to inform faculty about the role…

This volume includes the tests, questionnaires, letters, manuals, findings, and analyses associated with the field evaluation of "ThinkAbout," a series of 60 15-minute programs organized in 13 clusters and designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and…