These proceedings contain: two lectures; reports from four working groups, four review groups, and three special groups; and a list of participants. Lecture I, by Joseph Agassi, was entitled "On Mathematics Education: The Lakatosian Revolution." Lecture II, by Jack Easley, was entitled "Alternative Research Metaphore and the Social Context of…

The Mathematics Resource Project has as its goal the production of topical resources for teachers, drawn from the vast amounts of available material. This experimental edition on Ratio, Proportion, and Scaling, contains a teaching emphasis section, a classroom materials section, and teacher commentaries. The teaching emphasis section stresses…

This study investigated the effects of the use of hand-held calculators on problem solving and computational skills of elementary school students. It also considers the resulting implications for curriculum change. Evaluation focused on achievement in problem solving, computational skills, and number concepts of kindergarten, second grade, and…

The effects of behavioral and performance contingencies on classroom behavior and on academic performance were investigated. The subjects, third grade students from an inner city elementary school, were exposed to a series of conditions including baseline, behavior contingencies, performance contingencies, and a mix of behavior and performance…

Describes the Approaching Algebra Numerically (AAN) Calculator as a computer-based simulation of a hand-held calculator designed with novice learners in mind. Includes a complete description of the calculator and suggests uses for the calculator, including exponentiation, order of operations, scientific notation, concept of variable, and problem…

Reviews of the courseware "Discovery! Experiences with Scientific Reasoning" and "Guess My Rule" are given. Discusses the accompanying manuals, the relative ease of use, and content of the programs. (PK)

Describes a hierarchical system of problem-solving strategies employed for the solution of a specific kind of problem about speed. Presents the results of 563 high school students tested with problems relating to distance, speed, and time. Provides a rationale for the methods used. (TW)

The needs of above-average junior high school students are discussed. A set of 'daily twisters,' or problems of various types, were collected, and examples are noted. Recommendations on content and pedagogy are described. (MNS)

Presents a theoretical and research foundation for teaching self-communication and metacognition to improve problem-solving skills, memory, and performance. Five steps are provided to guide teachers in implementing a self-communication strategy which can be used in a mathematics class. An extended reference list is included. (JM)

Some specific uses of microcomputers in mathematics instruction are presented. Included are examples for generating data and patterns, checking, practice of various types, developing understanding, comparing results, simulation of experiments, introducing new ideas, solving problems, and extending into new areas. Brief computer programs are given.…

The term "numeracy" is used in the adult education community to include an array of mathematically related proficiencies that are evident in adults' lives and worthy of attention in adult education settings. This occasional paper attempts to describe the complex nature of numeracy as it exists today. All stakeholders--including policymakers,…

The third volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) Students' Use of ICT Tools: Choices and Reasons (Anne Berit Fuglestad); (2) Interaction of Modalities in Cabri: A Case Study (Fulvia Furinghetti, Francesca Morselli, and…

This text explores teaching techniques and adaptations that have proven effective in teaching mathematics concepts and skills to students with learning disabilities. This fourth edition, consistent with the standards developed by the National Council of Teachers of Mathematics, 2000, continues to emphasize problem solving, number sense, student…

While the influence of individuals' participation in practices of economic subsistence on the development of mathematical knowledge has been widely reported in the literature, there are not as many studies about the relationship between cultural life and mathematical cognition in the context of recreational practices. This article reports a study…

We examine aspects of flexible mathematical thinking in middle school students and its contribution to the growth of their mathematical understanding. We inductively analyzed data collected from video-episodes of an interactive, problem-solving based after-school mathematics class. Flexibility is essential in such classrooms since students must…