The aim of this paper is to review recently calculus curriculum reforms and research studies that document what types of understanding students develop in their precalculus courses. We argue that it is important to characterize what difficulties students experience to solve tasks that include the use of foundational calculus concepts and to look…

Using multiple representations (MR) such as graphs, symbols, diagrams, and text, is central to teaching and learning in physics classrooms. While different studies have provided evidence of the positive impact of the use of MR on physics learning, a comprehensive overview of existing literature on the use of MR in physics education, especially at…

Reviews literature on conceptual conflict as facilitator of student learning and alternative conceptions, describes theories explaining occurence of alternative conceptions and conflict role in conceptual change, discusses a model of learning as conceptual change and its instructional implications, and presents results of studies which apply the…

Defines cognitive computer tools as software programs that use the control capabilities of computers to amplify, extend, or enhance human cognition; suggests seven ways in which computers can aid learning; and describes the "Learning Tool," a software package for the Apple Macintosh microcomputer that is designed to aid learning of…

This paper aims to clarify and describe the process of change in learners' conceptual understanding of natural phenomena. It begins by reviewing the existing literature on models of conceptual change and on children's conceptions in a number of selected topic areas. Strategies for exploring and developing children's ideas in these areas have also…

This paper examines a range of studies done on the "Geometric Supposer" software and its use since the mid-1980s. It describes how the "Geometric Supposer" is a response to the call for reform by the mathematics community to create classroom environments that allow students to construct their own knowledge. This approach to…