This book contains volume 1 of the proceedings of the 23rd annual meeting of the International Group for the Psychology of Mathematics Education (PME) held October, 2001 in Snowbird, Utah. Papers include: (1) "Opening the Dimensions of Mathematical Capability: The Development of Knowledge, Practice and Identity in Mathematics Classrooms"…

This two volume collection of proceedings contains working group reports, research reports, oral reports, poster session reports and discussion group reports presented at PME-NA 21. Only the plenary and research reports are full reports; the others are brief abstracts. Full reports include: (1) "Representation, Vision and Visualization:…

This assessment sample provides information on the Missouri Assessment Program (MAP) for grade 7 science. The sample consists of seven items taken from the test booklet and scoring guides for the seven items. The items assess heat, minerals, graphing, and plant growth. (MM)

Two teachers describe ideas they have used in teaching the concept of area. The use of physical materials is emphasized. (MM)

This column contains brief notes on graphing in three dimensions; patterns in Pascal's triangle; plotting graphs by computer; and an application of the hypocycloid. (MM)

A collection of brief articles on mathematics and teaching mathematics. (FL)

Develops stochastic model of library borrowing using Negative Binomial distribution applied to circulation data obtained from Huddersfield Public Library. Evidence concerning process of popularity decay is presented and method is given by which relegation tests can be constructed to maintain optimum turnover. Eight references and statistical…

On these worksheets, students are to graph pairs of linear equations and linear combinations of these pairs, using the results to discover an algebraic technique for solving a system of epuations. They then complete, run, and modify a computer program for solving a system of linear equations. (MNS)

Discusses computer games (called intrinsic models) focusing on mathematics rather than on unrelated motivations (flashing lights or sounds). Games include "Green Globs," (equations/linear functions), "Darts"/"Torpedo" (fractions), "Escape" (graphing), and "Make-a-Monster" (equivalent fractions and…

An introductory unit on slope, designed to give students a chance to discover some of the basic relationships between functions and slopes, is described. Programs written in BASIC for PET microcomputers were used. It is felt that students have the background to understand derivatives after experiences with this unit. (MP)

The activity described helps students develop facility in working with two-dimensional coordinate systems. Many students find the activity fascinating, so it can be used to motivate students to become involved in a number of explorations and to engender positive attitudes toward mathematics. (MP)

Activities designed to: (1) provide experience in determining the likelihood of events and systematically recording the results of a succession of events; and (2) provide experiences in reading and drawing logical conclusions from graphed data are presented. Worksheet masters designed for duplication for classroom use are included. (MP)

A mathematical system based on six functions is illustrated. (MP)