A Theoretical Mathematical Model for Exploring Learning Dynamics: A Scenario-Based Analysis

  • J.Igbida Department of Mathematics, CRMEF CS, El Jadida, Morocco; Laboratory of Engineering Sciences for Energy, ENSA EL Jadida, Morocco
  • B.Ennassiri University Cadi Ayyad, ENS of Marrakech, Laboratory LIRDEF. Morocco
  • A.Kaddar Laboratory of Engineering Sciences for Energy, ENSA EL Jadida, Morocco
  • N.Elharrar Laboratory of Engineering Sciences for Energy, ENSA EL Jadida, Morocco; Higher Institute of Nursing Professions and Health Techniques ``ISPITS”, Marrakech-Safi, Morocco
  • Y.Elmaddah Laboratory of Engineering Sciences for Energy, ENSA EL Jadida, Morocco
DOI: https://doi.org/10.19139/soic-2310-5070-2793
Keywords: Education, mathematical model, modelling, pedagogical intervention, dynamics of learning

Abstract

This work offers a theoretical reflection on interactions between students and teachers through the development of four modelled scenarios. Using mathematical tools, it seeks to analyse, in an abstract manner, the dynamics of learning and how they evolve in response to different forms of pedagogical intervention. Each scenario is designed as a conceptual illustration highlighting essential dimensions of teaching and learning, such as feedback, adaptability and personalisation. The aim is not so much to study actual practices as to show, through modelling, how these mechanisms can be understood and interpreted. This work thus aims to enrich the theoretical understanding of educational processes and highlights the contribution of formal models as a framework for analysing the complexity of pedagogical interactions.
Published
2025-12-10
How to Cite
J.Igbida, B.Ennassiri, A.Kaddar, N.Elharrar, & Y.Elmaddah. (2025). A Theoretical Mathematical Model for Exploring Learning Dynamics: A Scenario-Based Analysis. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2793
Issue
Online First
Section
Research Articles
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