This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…

The current period in mathematics education can be characterized as one of reform. Many feel that children in the United States are not learning enough appropriate mathematics; these critics are concerned with the specific areas of problem solving and children's conceptions of the nature and uses of mathematics. A pretest/posttest experimental…

This paper considers how the algebra curriculum in secondary mathematics might be reformulated by rethinking both the content of algebra and the approaches to teaching and learning algebraic concepts. It considers how the concept of function can be made a central theme of the algebra curriculum and further suggests that computer software, when…

This handbook is intended to provide mathematics curriculum leaders and supervisors with discussion and related activities central to a presentation of algebra for teachers of students with a history of lower academic achievement and who are part of our underserved populations. The handbook: (1) deals with general algebra activities; (2) focuses…

Previous research has indicated that numerically based problem-solving can be taught to children and that it should be initiated on a continuing basis in the elementary school years, yet there is no evidence for the existence of an exact, comprehensive process through which problem-solving with numerical comparisons and addition or subtraction…

The ability of the microcomputer to compile voluminous and detailed measures of students' learning activities automatically has seemingly outpaced the ability of commonly-used data analysis methods to make effective utilization of this wealth of potentially useful information. This study explores the use of computer-based quantitative methods,…

This is the 13th annual listing of research on mathematics education. Annotated references are organized alphabetically by author within three categories: (1) research summaries; (2) journal-published reports; and (3) dissertation abstracts. An index is also provided to help locate references to designated mathematical topics. Topic areas include:…

This document contains a list of microcomputer courseware titles which appeared on the Advisory Lists of Computer Courseware between January 1986 and November 1990. Courseware is first presented alphabetically by title with producer, grade level, and reference for the full citation included. Courseware is then presented by the following subject…

This issue of the journal contains abstracts and critiques of ten research reports. They address such topics as: (1) characterizing the Van Hiele levels of development in geometry; (2) children's ideas about commutativity in the early elementary arithmetic program; (3) two children's anticipations, beliefs and motivations about mathematics; (4) a…

Project AIMS (Activities that Integrate Mathematics and Science) produces a variety of curriculum materials that deal with the integration of learning experiences, problem solving activities, and the use of cooperative learning. This document is a compilation of the AIMS newsletters published during the 1986-87 academic year. Each of the ten…

In an effort to present important research results in readable form for elementary and secondary teachers of mathematics, this publication reviews a model and ways of effectively teaching mathematics. The model of instruction proposed by Good and Grouws is based on teacher-centered whole class instruction. Perspectives and guidance are offered in…

This unit was designed to develop mathematical applications in relation to a community resource issue. It should both motivate mathematics learning and provide meaningful problems for reinforcing understanding of mathematics content and skills, including ratios and percentages, linear equations, exponential functions, graphing, and the reading and…

This yearbook contains 20 articles pertaining to geometry instruction. Part 1 considers "Perspectives," with articles on the van Hiele model, resolving dilemmas, implications of using computer graphics, chances of geometry surviving in the secondary curriculum, and role of Euclidean geometry. Part 2 provides "A View of Problem Solving and…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This course is designed as the first of a two-semester sequence. Topics include operations with signed numbers; simple operations on monomials and…

Twenty-three papers on the use of higher order thinking approaches to improve basic skills education are presented. The key note article is (1) "A Case for Higher Order Thinking" (G. Garcia, Jr.). Under the heading "English Language Arts" are: (2) "Developing an Elementary Writing Program" (K. Contreras); (3)…