A Decalogue for Teaching Mathematics. Fastback Series 309.

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life applications. Described in this fastback in the form of a Decalogue, or ten commandments, are methods that can be used to teach mathematics successfully. These commandments hold for every grade level including postsecondary mathematics. Topics include: (1) the use of manipulatives and visuals; (2) cooperative learning models; (3) diagnosis of student development; (4) unit plan development; (5) problem solving; (6) algebra and geometry; (7) the use of computers and calculators; (8) mental computation, estimation, and measurement; (9) probability and statistics; (10) integration of skills and techniques from different branches of mathematics. (KR)