Skip to Main content Skip to Navigation
Theses

Les équations différentielles comme outil de modélisation mathématique en Classe de Physique et de Mathématiques au lycée : une étude de manuels et de processus de modélisation d'élèves en Terminale S

Abstract : This study deals with the learning and teaching of modelling in classes of Physics and Mathematics at the last year of high-school, in France. The new syllabi that started out in 2002 for these two classes, emphasize the role of mathematics as a tool for modelling in other sciences. The analysis of textbooks that are usually used in Physics and Mathematics classes allowed us to characterize the proposed modelling process to be taught at this school level. These analyses revealed the transposition process of the « modelling process » as achieved by experts into a different process adapted for school. The setting up of an experimental situation including some unusual tasks (out of the scope of the usual didactic contract) for students at the last year of highschool, allows us to identify the influence of the praxeologies existing at these classes onto students solving processes. But this situation also gave evidence of the role of the « pseudo concrete » model of the initial real situation and of the physical model constructed by the students upon the modelling approach. The influence of external interventions to help students overcome their difficulties, or the role of some feedback of one task onto another one, are also addressed and discussed. The type of modelling that is finally taught (“taught” knowledge) in classes of Physics and Mathematics presents an important gap with respect to the modelling process as practiced by experts (“wise” knowledge). Some of the difficulties linked to the setting up of this transposition process are analyzed in the present study.
Document type :
Theses
Complete list of metadatas

Cited literature [48 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00292286
Contributor : Ruth Rodriguez <>
Submitted on : Tuesday, July 1, 2008 - 2:55:55 AM
Last modification on : Thursday, November 19, 2020 - 12:59:40 PM
Long-term archiving on: : Friday, May 28, 2010 - 9:15:17 PM

Identifiers

  • HAL Id : tel-00292286, version 1

Collections

Citation

Ruth Rodriguez. Les équations différentielles comme outil de modélisation mathématique en Classe de Physique et de Mathématiques au lycée : une étude de manuels et de processus de modélisation d'élèves en Terminale S. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2007. Français. ⟨tel-00292286⟩

Share

Metrics

Record views

1147

Files downloads

18478