Important mathematical developments occurred during the sixteenth century, but it was not clear how to fit them into the framework of classical mathematics, which was still used as the center of the curriculum. In particular, the work in algebra did...

The word analysis comes from the Greek "analyein," which means "to break up." The basic meaning of the word is the separation of a whole into its component parts. While it is used generally in both the natural and the social sciences in several...

Analysis has its beginnings in the rigorous formulation of calculus. It is the branch of mathematics most explicitly concerned with the notion of a limit, whether the limit of a sequence or the limit of a function.[1] It also includes the theories of...

Abstract A covariance analysis of constructs related to the process of mathematical discovery is presented. The constructs are derived from Polya's ideas on problem solving and include sophistication, traits that predict affect, and emotion. The relative importance of these constructs is investigated...

In this paper we focus on interactive visualizations that support mathematical investigation. In the context of analyzing and redesigning an interactive visualization from the National Council of Teachers of Mathematic's (NCTM's) Illuminations Web site, we consider two interrelated issues: (1) how the pedagogy...