This document presents four research papers related to the role of inconsistent ideas in learning mathematics and a discussion paper related to the same issue. The titles of the papers are: (1) "Cognitive Conflict in Procedure Applications" (Merlyn Behr and Guershon Harel); (2) "Inconsistencies in Preservice Elementary Teachers'…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus course designed as the second course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes applications from technology and verbal problems. Topics include trigonometric functions; identities;…

This curriculum and teaching guide outlines the ISTEP (Indiana Statewide Testing for Educational Progress) 1988 Summer Remediation Program in reading, language, and mathematics provided for students in grades 1, 2, 3, and 6 who did not pass the minimum state standards for promotion to the next grade level based on the results of the ISTEP test.…

The papers and conference proceedings recorded in this monograph are from a conference on effective mathematics teaching. In addition to acknowledgements, foreword, introduction and participant list, the following articles are included: (1) "Teaching for Higher-Order Thinking in Mathematics: The Challenge for the Next Decade"; (2)…

This document contains 53 plenary and contributed papers presented at the eighth Psychology of Mathematics Education (PME) meeting. Two plenary addresses focused on mathematics research in Australia and Japan, and problem solving and symbolism. Contributed papers were classified under 13 headings including: teaching and learning theory; cognition;…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

In response to the urgent national need to revitalize mathematics and science education, the National Research Council (NRC) has undertaken an examination of mathematics education from kindergarten through graduate study. This is a summary of a report outlining the seriousness of the situation and emphasizing how critical mathematics is for…

The current reform of general secondary education and vocational training in the USSR is aimed at further improving quality and meeting social demands. This document is an addendum to "Science and Mathematics Education in the General Secondary School in the Soviet Union," published in July 1986. It discusses some of the new reform…

This volume is organized into six parts. Chapters 1-5, which make up Part 1, first discuss the forces impinging on algebra in the curriculum and suggest possible directions for change. Chapters 6-8, Part 2, concentrate on concepts and teaching possibilities available prior to the formal introduction of algebra. The notion that algebraic ideas are…

This collection of 10 papers aims to provide teachers at all levels with ideas on a number of important aspects of mathematics education. The Report of the Committee on Inquiry into the Teaching of Mathematics (Cockcroft Report) has provoked wide discussion in England, and the papers examine some contemporary issues in school mathematics in light…

In response to the current decline in the quality and quantity of precollege mathematics and science education in the United States, the National Science Board (NSB) established the Commission of Precollege Education in Mathematics, Science, and Technology. The purpose of this Commssion is to define a national agenda for improving mathematics and…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…