oalogo2  

AUTHOR(S):

Michael Gr. Voskoglou

 

TITLE

A Markov Chain Model for the APOS/ACE Instructional Treatment of Mathematics

pdf PDF

ABSTRACT

The ACE teaching style is the pedagogical approach of the APOS instructional treatment of mathematics implemented with the help of computers. In this paper a Markov Chain model is introduced on the components of the ACE cycle on the purpose of studying mathematically its flow-diagram. This leads to a measure evaluating the student difficulties in learning mathematics. A classroom example is also presented illustrating the applicability and usefulness of the model.

KEYWORDS

APOS theory, ACE teaching style of mathematics, Markov Chain (MC), Absorbing MC, Fundamental matrix, Derivative

 

Cite this paper

Michael Gr. Voskoglou. (2019) A Markov Chain Model for the APOS/ACE Instructional Treatment of Mathematics. International Journal of Education and Learning Systems, 4, 1-6

 

cc.png
Copyright © 2018 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0