Discovering Features of Web-based Algebraic Tools via Data Analysis to Support Technology Integration in Mathematics Education

Abstract

Technological tools available on the Internet can be used to support teachers’ understanding of how to teach mathematics to their students. This paper outlines a method for using algebraic tools in mathematics with teachers to help them discover features to facilitate student learning and understanding with the support of statistical software. The teachers first investigate algebraic tools and then analyze features of the tools and how they support or limit student learning. Personal Construct Theory (Kelly, 1955) is used to first help teachers create and self administer repertory grids and then generate dendrograms for cluster analysis. The model described can help others implement technology in a similar manner making use of both web-based applets and statistical software in an authentic context.