USING TECHNOLOGY TO IMPLEMENT CALCULUS REFORM 1

Effective pedagogical use of technology is the foundation upon which calculus reform is built. Technology provides the window through which the key concepts of calculus can be visualized by students. Well designed technologically supported explorations and demonstrations help students develop a true understanding of calculus concepts and they help students learn to think mathematically. In this paper, we present a collection of examples of how we use the mathematics software package TEMATH to implement calculus reform with our students. Warming Up With Hidden Functions — Developing a Library of Functions Many first-year calculus students have developed very little intuition for recognizing graphs of functions. Most students can recognize the graph of a linear, quadratic and maybe a sine function, but beyond that, they really struggle. We use TEMATH's Hidden Function tool to help enhance a student's ability for visually recognizing many types of functions and their algebraic representations; and to help our students develop a working knowledge of the library of functions that is needed in a first-year calculus course. The Hidden Function tool hides the expression of a function from the student but still allow