Discusses the naive usage of models in science, particularly in physics. Historical perspectives are presented, as well as some educational aspects of models. (SA)

The use of a "constructivist approach" in introducing the concept of equation in algebra is promoted and presented. (MP)

The use of the hand-held calculator for introducing geometric growth is illustrated. The activity is designed for secondary school mathematics students. (MP)

Problems related to representing mathematical concepts with computer models are discussed. The pros and cons of computer assisted instruction (CAI) in aiding students is discussed in relation to a pilot study at the University of Edinburg, Scotland. (MP)

A simple enumeration problem from some research on problem solving is used to illustrate the contention that conjecture and proof have a central place in mathematics teaching. (Author/TG)

An analysis is presented of pupil responses to several items on the second National Assessment of Educational Progress (NAEP) mathematics survey which focused on the concepts and models of the fundamental operations. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

An approach to teaching the principle of mathematical induction that could make more sense to introductory-level pupils is given. (MP)

"Pure" geometry is promoted as instructional material suitable for enriching the education of the mathematically gifted student. Examples of mathematical and logical concepts that can be highlighted with geometric presentations are given. (MP)

A way of exploring the concept of rational and irrational numbers with calculators is outlined. The numbers and routines suggested are designed to lead to additional extensions and provide an area for student exploration. (MP)

Classroom games designed to develop mathematics skills in elementary school children are presented. These games involve personalizing metric measurement, telling time by television, creating an all-math newsletter, addition puzzles, subtraction games, division cards, multiplication, fractions, and measurement. (JD)

Suggestions for outdoor mathematics activities include six each for primary-age and intermediate-age children. (MK)

The results of the interaction of fifth- and sixth-grade students with a computer are described. (MK)

The authors develop the idea of Niven numbers and discuss their potential usefulness in the classroom. A computer program to generate Niven numbers is provided. (MK)

Ways are presented to help students develop precomputational fraction concepts and skills using a circular-region or "pie" model. (MK)

Ratio and proportion are discussed by giving examples of a child's view of the concept. Instructional suggestions are given. (MK)