Investigates the development of shape concepts within an instructional unit on geometric paths, including the role of noncomputer and computer interactions in that development. Concludes that the computer environment and the activities facilitated students' development of their conceptualizations of the properties of geometric shapes and their…

Presents a study on calculus reform that examines how instructional approaches that place different emphases on the use of technology and multiple representations impact undergraduate calculus students' ability to use and understand connections between different representations of concepts. Compares three courses--traditional calculus, calculus…

Discusses the issue of proof in school geometry and views dynamic software as an excellent tool for exploration in geometry classes, mathematical practice, and for helping students see that a theorem is true. Argues that justification without proof would be untrue to the theory and practice of mathematics. Contains 32 references. (ASK)