Study of a research process for researchers, pupils and students involved in the research of an unsolved problem in number theory
type: Dataset
description: Our thesis deals with the transposition of mathematician's reserach activity in mathematical classroom, in the domain of number theory. Our research focuses on the study of a research process for researchers, pupils and students involved in the research of an unsolved problem: the Erdös-Straus conjecture. Our mathematical and epistemological analyses allow us to identify different aspects of the mathematician's work and the elements for progress in his research. The notion of "gesture" is developed to describe, analyze and contextualize different research processes. This analysis reveals the potentiality of this problem to create a research situation in classroom, where pupils are in a position similar to the mathematician's one. Didactical analyses are based on the construction of such a situation and its experimentation in laboratory. We study the research process of the students with the methodological tools developed in mathematical and epistemological analyses. This analysis shows several potentiality of this situation: a wealth of procedures implemented, effective work on the dialectical aspects of the mathematical research activity and implementation of experimental approach. The notion of "gesture" is relevant to consider the question of the transposition of mathematician's work.
issued: 2026-05-06T08:31:26.550731
language: fr
modified: 2026-05-06T08:31:26.550737
contact point: Organization
  fn: CCSD
keyword: approach-exprimental
keyword: conjecture-derdos-straus
keyword: didactique-des-mathematiques
keyword: dimension-experimentale-des-mathematiques
keyword: infoeu-reposemanticsdoctoralthesis
keyword: math-education
keyword: mathmath-ntmathematics-mathnumber-theory-mathnt
keyword: number-theory
keyword: problem-solving
keyword: probleme-de-recherche
keyword: processus-de-recherche
keyword: research-process
keyword: shseduhumanities-and-social-scienceseducation
keyword: the-erdos-straus-conjecture
keyword: theorie-des-nombres
keyword: theses
landing page: https://theses.hal.science/tel-00948332

Study of a research process for researchers, pupils and students involved in the research of an unsolved problem in number theory
type: Distribution
format: HTML
issued: 2026-05-06T08:31:26.579216
modified: 2026-05-06T08:31:26.523774
access URL: https://theses.hal.science/tel-00948332

test_moissonnage_selune
type: Agent