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 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…

These materials were designed to help remedial students increase mathematics proficiency on topics found in the Regents Competency Testing Program. The activities developed come complete with questions, "cards," and/or sample gameboards. Included in each activity is a list of materials needed. Several different activities often use the…

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 curriculum guide covers Course II of a three-year sequence for high school mathematics in New York which was intended to provide an alternative to the regular Regents' sequence of ninth-, tenth-, and eleventh-grade mathematics. A listing of scope and content is provided along with suggested time allotments. Topics covered are: Logic,…

This guide was prepared as an instructional aid for teachers of a second-year course in algebra. It was designed to be applicable to a wide range of Algebra II programs offered in senior high schools. The content of the Algebra II program has been divided into 13 major units and a preliminary unit designed to review selected Algebra I skills. Each…

A nine-day study was designed to investigate the learning achievement differences between paired and individual high school students in a Computer Assisted Instruction course in Boolean Algebra. Within the format of five 40-minute lessons (including preview frames, instruction, examples, practice problems, criterion frames, and daily quizzes), 23…

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (TIME 2000). It includes papers, posters, and short oral reports. Research papers include: (1) "Implications of the Shift from Isolated Expensive Technology to Connected, Inexpensive, Ubiquitous and Diverse Technologies" (Jim…

The aim of the study was to examine the effects of implementing computerized project based- learning (CPBL) approach into a didactical course for third year pre-service mathematics teachers. In this paper we focus on impacts concerning the pre-service teachers as learners. Analysis of the data revealed three main sub-categories relating to aspects…

College students enrolled in developmental mathematics and elementary algebra courses typically make the same mistakes repeatedly. Moreover, the same mistakes are made every semester, regardless of the students involved. Lev Vygotsky's concept of fossilization, which refers to the phenomenon of learning being lost over time and only behaviors…

Beginning in Spring 1998, Virginia students participated in the Standards of Learning (SOL) assessments designed to test student knowledge of the content and skills specified in the state's standards. This document contains questions that students were required to answer as part of the SOL End-of-Course assessments. These questions are…

The effects of a mathematics lesson's complexity were studied, using 128 female and 122 male first-year algebra students in Georgia high schools. Achievement scores were slightly, but not significantly, higher with low complexity lessons, and students preferred the low-complexity lessons. Implications for teaching secondary mathematics are…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

The first in a series of three articles, successful instructional materials from a 15-year software development effort are analyzed and characterized with special attention given to educational experiences intended to shape students' perceptions of the fundamental nature, interconnectedness, and usefulness of mathematics. The software programs…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)