Describes the fundamentals of dimensionality and the relationships of the elements in a four-dimensional coordinate system. Outlines a number of analogies between the elements and techniques for creating images of one-point perspective. Describes two of the ways in which realistic imagery can be used to illustrate the relationships in a…

Presents examples of short writing assignments that are intended to keep the lines of communication open between teachers and students. Discusses their outcomes and student feedback and suggestions. (ASK)

Uses real data as a catalyst to explore mathematics. Presents two mathematics activities based on real data, one on earthquakes and the other on demographic data. Discusses the implications of these activities in calculus classes. (ASK)

Provides an illustrated presentation of tilings to argue that there is a positive relationship between the abstract structure of mathematics and the sensory reality of the world in which we live and move. Contains 12 references. (ASK)

Proposes the use of triex problems which emphasize exploration, explanation, and extraction. Provides examples of these kinds of problems. (ASK)

Discusses the use of techniques from language experiences in assisting with the learning and assessment of mathematics. Provides a mathematics activity on fractions employing story writing activities. (ASK)

Describes the development and implementation of a service learning project carried out at Portland State University, including the mechanics of the project and excerpts from student journals with reflections on their growth in this process. (Author/ASK)

Describes possible uses of spirographs in mathematics classrooms to study parametric equations and symmetry. (ASK)

Introduces games, puzzles, patterns, and drums from the African countries of Rwanda and Burundi. Contains 25 references. (ASK)