Graphical exploration of two-dimensional functions an aid to mastering fundamental calculus concepts

Abstract

Technology has become an integral part of all educational activities and can be viewed as a powerful lever to promote the understanding of fundamental mathematical concepts that underpin the study of calculus. This article reports on action research activities during 1993-1998 at the University of Pretoria, which focused on aspects that constitute the coherence between teaching, learning, mathematical conceptualisation and the use of computer graphing technology. Results identify some features of graphing utilities that are necessary to enhance fundamental concepts. The principle findings are that the meaningful combination of graphical exploration and graphical analysis according to a well thought-out didactical approach is necessary in order to incorporate technology successfully into mathematics instruction.


(South African Journal of Education: 2002 22(1): 47-55)