Didactic study of algebra resumption by the introduction of algorithmics in French "classe de seconde" (9th-10th grade in US High School)
type: Dataset
description: The recent French schools reform (2009) was accompanied by a change in mathematics curriculum. With respect to the "classe de seconde" (9th-10th Grade in US High School), two subjects question us: first, the new positioning of algebra, now part of the functional domain, giving it a primary role of tool, and on the other hand, the introduction of algorithmic concepts. Through the value of combining these two subjects, this thesis proposes a didactic study of the resumption of elementary algebra in "classe de seconde", and especially of the objects orbiting around equation concept, objects of which we search to refine the meaning, through the detour of algorithmics. Positioned within the anthropological theory of the didactic by Chevallard, we study the conditions and constraints of this resumption. Through a didactic engineering implementation in collaboration with three high school teachers, we show how the resumption of basic algebra concepts through algorithmics induced for students a gesture of generalization, while achieving some materialization of algebraic objects, manipulating them in a computer program. For teachers, this engineering induces a questioning of their praxeology teaching algebra, generated by non-routine tasks of equations categorization and modeling. Finally, we highlight the challenge of integrating algorithmics domain within mathematics discipline and the need for teachers to be trained, to ensure the viability of this teaching.
issued: 2026-05-07T18:13:41.658403
language: fr
modified: 2026-05-07T18:13:41.658407
contact point: Organization
  fn: CCSD
keyword: algebre-elementaire
keyword: algorithm
keyword: algorithme
keyword: algorithmics
keyword: algorithmique
keyword: classe-de-seconde
keyword: classe-de-seconde-9th-10th-grade-us
keyword: computer-and-didactic-transposition
keyword: concept-dequation
keyword: concept-of-equation
keyword: didactique-des-mathematiques
keyword: elementary-algebra
keyword: equation-solving
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathematics-education
keyword: mathmath-homathematics-mathhistory-and-overview-mathho
keyword: programmation
keyword: programming
keyword: resolution-dequation
keyword: shseduhumanities-and-social-scienceseducation
keyword: theses
keyword: transposition-didactique-et-informatique
landing page: https://theses.hal.science/tel-00920506

Didactic study of algebra resumption by the introduction of algorithmics in French "classe de seconde" (9th-10th grade in US High School)
type: Distribution
format: HTML
issued: 2026-05-07T18:13:41.669339
modified: 2026-05-07T18:13:41.637948
access URL: https://theses.hal.science/tel-00920506

test_moissonnage_selune
type: Agent