Skip to Main content Skip to Navigation
Theses

Les Équations Différentielles en Mathématiques et en Physique: Étude des conditions de leur enseignement et caractérisation des rapports personnels des étudiants de première année d'université à cet objet de savoir

Abstract : Established at the 17th century, differential equations are among the most important ones which form the relationships between Mathematics and Physics. This thesis aims to clarify the characteristics of these relationships in the current teaching. The main focus is on the teaching and learning conditions of this concept in first year of the university.
First, a brief historical study which aims at distinguishing the role played by the physical sciences during the emergence of this concept and throughout its historical evolution has been done.
Then, the "institutional relation" to differential equations is analysed based on the anthropological theory of didactics. For this purpose, both ecological and praxeological analyses are performed based on the handbooks of the last year of the secondary science teaching (in France). Furthermore, handouts and lecture notes from mathematics and physics courses of the first year of the university has been also used. This study enabled us to describe the general characteristics of the teaching of this concept in the two disciplines.
Finally, this study is completed by an analysis of the "personal relation" of students to the differential equation. For this purpose, we analysed their score to some mathematics and physical science tests provided them. The so-called tests ask students to both consider the "object" and the "model" status of the differential equations, respectively in mathematics and physical sciences.
Document type :
Theses
Domain :
Complete list of metadatas

Cited literature [4 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00271402
Contributor : Aysegul Saglam-Arslan <>
Submitted on : Wednesday, April 9, 2008 - 9:21:29 AM
Last modification on : Wednesday, April 9, 2008 - 9:38:26 AM
Long-term archiving on: : Thursday, May 20, 2010 - 11:08:48 PM

Identifiers

  • HAL Id : tel-00271402, version 1

Collections

UJF

Citation

Aysegul Saglam-Arslan. Les Équations Différentielles en Mathématiques et en Physique: Étude des conditions de leur enseignement et caractérisation des rapports personnels des étudiants de première année d'université à cet objet de savoir. domain_stic.educ. Université Joseph-Fourier - Grenoble I, 2004. Français. ⟨tel-00271402⟩

Share

Metrics

Record views

429

Files downloads

46998