Procepts and proceptual solutions in undergraduate mathematics

Abstract

This paper explores and promotes the notion of ‘procept’ in an undergraduate mathematics course in Linear Algebra for first year pure and engineering students. On the basis of students’ preference for procedural to conceptual solutions to mathematical problems, this paper augments the role of certain concepts in pure and applied mathematics, particularly in the problem‐solving approaches at the undergraduate level by providing novel solutions to problems solved in the usual traditional manner. The development of the concept of ‘procept’ and its applicability to mathematics teaching and learning is important to mathematics education research and tertiary pure and applied mathematics didactics in South Africa, welcoming the amalgamation of the theories developed at pre‐tertiary level mathematics with theorems and proof at the undergraduate level.