Rectifying misconceptions of linear algebra made by students of tertiary education regarding the concept of equivalence: affordances offered by a multi-representational computational environment
Panagiotis A Makrygiannis, Panagiotis S Makrygiannis, Evangelos C Papakitsos
In the presented herein work, the results of a continuing research project are discussed, regarding the current academic period and involving students of the University of West Attica, Greece. The aim of this research is to optimize the teaching of linear algebra, especially of the linear equations systems, by employing a set of instructional interventions suitably designed for this purpose. The designing of these interventions is conducted according to the logic of both the Three Worlds of Mathematics by D. Tall and the Experiential Learning Model (ELM) by D. Kolb. The computational environment of Mathematica, especially its computable document formats (CDFs), is used, in order to offer a multi-representational dimension of the mathematical concepts in question.