Mathematical modeling of improving the understanding of a mathematical concept learned by a teacher of mathematics with optimal control

Authors

  • Soukaina Hilal Faculty of sciences Ben M'sick, university Hassan II, Casablanca
  • Youssef Benfatah Faculty of sciences Ben M'sick, university Hassan II, Casablanca
  • Hassan Laarabi Faculty of sciences Ben M'sick, university Hassan II, Casablanca
  • Mostafa Rachik Faculty of sciences Ben M'sick, university Hassan II, Casablanca

Abstract

This paper aims is to increase the excellent learners number studying a new mathematical concept presented by a teacher of mathematics. For this reason we consider a LLRSRR discrete time model where L refer to Learners who have no idea of the presented mathematical concept, LR Learners who have weak misrepresentation ( not well understand the new concept), SR Learners who have
strong misrepresentation (very bad understanding the concept) and R denote the class of Learners who become master of such notion. An experimental study involving 106 students of Morocco in ninth grade was performed (three different classes of such level). The results revealed that working on various activities related to the studied concept, provide a variety of teaching methods and supported by the professor and parents to re-explain the concept allows learners to well understand it.

Published

08/30/2025