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…

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 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…

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 monograph concerns the geometry curriculum as it should be in an effective and complete mathematics program in grades K-9. The first section makes an impelling argument for teaching substantial amounts of geometry in grades K-9: for practical life skills, for developing number and measurement concepts, for problem-solving experiences, for…

This information bulletin reviews the research literature on blacks and mathematics. The amount of research that focuses specifically on race differences in mathematics in an attempt to explain and lessen those differences is small. Research of the past ten years indicates that black students, when compared to white students, take fewer…

This document contains 58 papers, all of which focus on the psychology of mathematics education. The papers were organized under five general themes: (1) teaching and learning mathematics (17 papers), (2) investigations of mathematical thinking (17 papers), (3) mathematical procedures (12 papers), (4) processes and strategies in the mathematics…

This chairman's report pertains to a conference on school mathematics which considered evidence on the need to improve school mathematics, develop recommendations about the nature of needed changes, and prepare strategies or next steps for accomplishing these changes. Ten recommendations were made. Three pertained to actions designed to assist in…

The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…

The purpose of the study was to hypothesize and test a causal model of continuation in the mathematics study sequence. The causal model hypothesized (a) direct effects from parent attitudes and perceptions to student attitudes, spatial visualization skills, and mathematics achievement; and (b) direct effects from student attitudes, spatial…

Sample class profile record sheets, student profile record sheets, and diagnostic and mastery tests are included for level 3 of the Mountain View School District Bilingual Diagnostic-Prescriptive Mathematics Program. (MN)