Skip to Main content Skip to Navigation
Theses

Étude didactique des relations entre enseignement de la notion de limite au lycée et décimalisation des nombres réels dans un environnement ‘calculatrice'. Une étude de cas au Viêt-nam.

Abstract : The study of the didactical transposition of the notions of limits and real numbers guides our research.
In Vietnam, the set of real numbers is introduced in lower secondary mathematical teaching as the set of decimal writings whereas the notion of series and limits only appear in upper secondary education (Class 11, age 17). There is no issue about approximation and the institutional relation to limits is bound to algebra. However, the Ministry of Education has officially introduced the use of pocket calculators, that modifies the conditions for calculation and of its results which is obtained as a decimal value which is most of the time an approximation. The results of an epistemological investigation about the inter-relations historically built between the construction of real numbers, the notion of limit and the decimalisation of real numbers lead us to a description of Mathematical Organisations (MO), that we qualified as reference MO.
From an institutional analysis (chronological evolution of curricula, instructions and textbooks) we identify mathematical organisations to be taught, interpreted as traces of reference MO in the teaching of mathematics. The distance between reference OM and OM to be taught are explained by conditions and constraints proper to each institution, lower and upper secondary mathematics education. Building, experimenting and analysing a didactical engineering is a means for us to give some elements of answer to the question of viability of a teaching aiming at introducing (under today's conditions and constraints) a topological viewpoint on the notion of limit in relation with the decimalisation of real numbers in a calculator environment.
Document type :
Theses
Domain :
Complete list of metadatas

Cited literature [79 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00169190
Contributor : Thien Trung Le Thai Bao <>
Submitted on : Sunday, September 2, 2007 - 11:29:35 AM
Last modification on : Thursday, November 19, 2020 - 12:59:40 PM
Long-term archiving on: : Thursday, April 8, 2010 - 9:35:01 PM

Identifiers

  • HAL Id : tel-00169190, version 1

Collections

Citation

Thien Trung Le Thai Bao. Étude didactique des relations entre enseignement de la notion de limite au lycée et décimalisation des nombres réels dans un environnement ‘calculatrice'. Une étude de cas au Viêt-nam.. domain_stic.educ. Université Joseph-Fourier - Grenoble I, 2007. Français. ⟨tel-00169190⟩

Share

Metrics

Record views

1277

Files downloads

6457