Interactive Tools for Mathematics Instruction

Richard Mercer

Wright State University

Abstract

I will demonstrate the use of sophisticated interactive tools that allow students to explore mathematical objects and concepts. Examples will include both specialized and general-use tools. The emphasis will be on giving students the opportunity to "play" by putting in as many features and controls as might be useful. For example, the "VectorPlay" tool allows students to graphically display for any two vectors the sum, difference, projections of each onto the other, linear combinations, etc., while changing the vectors themselves. As time permits attention will be paid to basic pedagogical issues in the construction and use of such tools.