This article is based on the 1987 presidential address to the National Council of Teachers of Mathematics. The work of George Polya is used to draw conclusions about teaching and learning mathematics. (PK)

Several computer games are reviewed with respect to how they might be used within the classroom. The games detailed represent "families" that progress from the introduction of a concept to advanced games that help develop it. (MP)

This article is the first in a series that connects the National Council of Teachers of Mathematics "Curriculum and Evaluation Standards" with the new document, "Professional Standards for Teaching Mathematics." The four focal components of the "Professional Teaching Standards" are given, followed by a deeper…

Presents and discusses assumptions for a general-mathematics problem-solving curriculum that incorporate the belief that all students can do algebra, geometry, and trigonometry, that mathematics must be presented in problem situations, and that students should work cooperatively. Worksheets provide exemplary problem-solving activities. (MDH)

Mathematical enrichment involving writing and drawing activities are proposed as powerful instructional tools. Examples for the secondary mathematics classroom included here utilize poetry writing, daffynitions, sketching numerical witticisms, creating rebus and jumble puzzles, and drawing cartoons with fraction captions. (JJK)