Teaching mathematical structures in differential equations using a computer algebra system to engineering students

Abstract

Engineers often need to make sense of mathematical structures in differential equations to deal with real life problems. However, students showed difficulties in grasping them. This study presents the teaching of mathematical structures in differential equations using a computer algebra system. The computer algebra systems played the role as a pedagogical tool to enhance teaching mathematical structures. Findings showed the nature of the problems, prompts and questions assisted engineering undergraduates to make sense of mathematical structures. Explanations and links were the most frequent type of mathematical structures employed in solving real life problems. While techniques and representations were the most frequent mathematical structures adopted during solving procedural problems. This study implies that instructors should use computer algebra systems strategically to teach meaningful mathematics.