An Application of Ergodic Markov Chain to the Process of Teaching Mathematics

Michael Gr. Voskoglou^1,

¹Department of Mathematical, School of Technological Applications, Graduate Technological Educational Sciences Institute of Western Greece, Patras, Greece

Cite this paper:
Michael Gr. Voskoglou. An Application of Ergodic Markov Chain to the Process of Teaching Mathematics. American Journal of Applied Mathematics and Statistics. 2019; 7(5):187-190. doi: 10.12691/ajams-7-5-5

Abstract

The principles of social constructivism for learning have become very popular in the recent decades for teaching mathematics. In the present paper a mathematical representation is created of the process of teaching mathematics (based on those principles) by applying an ergodic Markov chain on its steps. This enables the instructor to evaluate the student difficulties in the classroom and therefore to reorganize his (her) plans for teaching the same subject in future. A classroom application to teaching the Conic Sections to engineering students is also presented illustrating the usefulness of our Markov chain model in practice.

Keywords:
social constructivism teaching mathematics finite Markov chains ergodic Markov chains

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