Teaching and Learning of Mathematical Modeling for  Hepatitis B Virus Transmission

Nabila  Beqqali; Khalid  Hattaf; Naceur  Achtaich

doi:10.36941/jesr-2023-0071

Authors

Nabila Beqqali Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco 2Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco
Khalid Hattaf Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco 2Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco
Naceur Achtaich Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco

DOI:

https://doi.org/10.36941/jesr-2023-0071

Keywords:

Hepatitis B virus, infectious diseases, mathematical modeling, mathematics education, learning activities

Abstract

This paper deals with the teaching and learning of mathematical modeling of hepatitis B virus (HBV) transmission. We first present the teaching of infectious diseases and more precisely the disease of hepatitis B in the Moroccan curriculum. In addition, we develop various activities in order to build the three forms of an HBV epidemic model that are visual, continuous and discrete. These activities can develop in students many abilities and skills such as mathematical reasoning, complex problem solving, modelling and communication. Furthermore, the construction of this HBV epidemic model will be done through the ordinary differential equations (ODEs) which are programmed in the teaching of mathematics in high Moroccan school.

Received: 6 December 2022 / Accepted: 19 April 2023 / Published: 5 May 2023