Modeling with Differential Equations and Geogebra in High School Mathematics Education

Mohamed  Latifi; Abdelhak  Eseghir; Abdelouahed  Elmaroufi; Khalid  Hattaf; Naceur  Achtaich

doi:10.36941/jesr-2022-0065

Authors

Mohamed Latifi Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco; Center of training Education’ inspectors, Morocco
Abdelhak Eseghir Center of training Education’ inspectors, Morocco; Laboratory of Stochastic and Deterministic Modelling (LaMSD), Mohamed First University, Oujda, Morocco
Abdelouahed Elmaroufi Laboratory of Applied Sciences and Didactic (LaSAD), Ecole Normale Supérieure, Abdelmalek Essaadi University, Tetouan, Morocco
Khalid Hattaf Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco; Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Casablanca, Morocco
Naceur Achtaich Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco

DOI:

https://doi.org/10.36941/jesr-2022-0065

Keywords:

Mathematical modelling, Differential equations, GeoGebra environment, Secondary school, Mathematical modelling competencies

Abstract

The integration of technology in mathematics education is still much slower despite the benefits of using technology. Dynamic Geometry Computer Software (DGCS), like GeoGebra, makes mathematical modeling alive and more attractive. They allow dynamic graphical representations and support an in-depth understanding of abstract mathematical concepts. From this perspective, the purpose of this study is to design activities (which include the use of mathematical software Geogebra), where the students manipulate, observe, analyse, and generalize mathematical concepts. With GeoGebra, solving more interesting and difficult problems will evidently be more feasible for students. To evaluate the contribution of GeoGebra in the learning of mathematical modeling, we carried out an experimental study in two groups for the 12th grade students. Experimental group (using GeoGebra) and control group (not using GeoGebra). The intervention lasted five weeks on the subject of differential equations. Based on the results, students in the experimental group achieved higher scores on the Mathematical Modeling Skills Rating Scale.

Received: 20 February 2022 / Accepted: 16 April 2022 / Published: 5 May 2022