Discusses how student errors can be utilized to understand the nature of the conceptions that underlie students' mathematical activity. Looks at why errors are made in mathematics, how teachers and students perceive errors, and how to use errors in the classroom. (MDH)

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Utilizing geometric topics as examples, this article describes the uses of concept maps specific to the evaluation of teaching outcomes, the monitoring of student progress, and the introduction of learning activities, particularly the initiation of classroom discourse to encourage students to articulate their own ideas and to appreciate the ideas…