Five reasons are discussed for teaching estimation involving utility, problem solving, concept formation, calculations, and attitude. Specific types of estimation are analyzed and examples given. (MP)

This article considers three ways to incorporate active learning in the exploration of mathematics: organizing centers, open-ended tasks, and the solving of good problems. (MP)

Using a great variety of word problems drawn from many contexts can make multiplication and division rules more relevant to the student's needs. (SD)

Potential uses for computers include: programing the solutions to problems; simulating situations in order to test hypotheses; gaming, as a study of probability and statistics; and practicing, testing, and tutoring. (MP)

Pedagogical issue related to the teaching of elementary school mathematics are discussed. The authors argue that mathematics instruction should focus on intellectual challenges and problem solving. Four examples at different elementary levels are presented. nSD)