Skip to content
DraconiticResearch
Search Sources API
186,546 studies31 sourcesUpdated 40 min ago
PreprintCC BY-NC-ND 4.0HAL

Theory of Situations

  • Marie-Jeanne Perrin-Glorian
  • Claire Margolinas
Open at sourcePDFDOICite

Abstract

Guy Brousseau began developing the theory of situations in the 1960s, with the ambition of building an experimental epistemology of mathematics. Over the decades, the theory has been structured, consolidated and extended, drawing on the contributions of numerous researchers. It is now recognized as one of the "genuine ground theories" in mathematics education. In this chapter, we will describe the foundations and reasons for the existence of this theory, its systemic approach to teaching and learning issues, its current architecture, which articulates a theory of mathematical situations and a theory of didactic situations, and its key concepts, as well as its functions, particularly its predictive and explanatory functions. We will illustrate this presentation with an example in geometry that also highlights the role played by the didactic engineering methodology in this theory and related work.

Related

  1. A dual theory of Zhu's theory
    Hao Wang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. On the internal homotopy theory of motivic categories
    Dipankar Maity
    HALPreprintLicence not statedAlgebra & number theoryGeometry & topologyHAL
  3. From Nilspace Theory to Simplicial Homotopy Theory
    Noa Bihlmaier, Nick Ruoff
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsDynamical systemsarXiv
  4. A Non-Asymptotic Gaussian Likelihood Theory for Long-Memory Toeplitz Models
    Duc-Quang Bui, Youssef Esstafa
    HALPreprintPublisher termsFull textStatisticsHAL
  5. Limit theory for Lipschitz-localized statistics in random geometric models
    Bartlomiej Blaszczyszyn, D. Yogeshwaran, J. E. Yukich
    HALPreprintLicence not statedFull textGeneral mathematicsHAL

Cite

BibTeXRIS
BibTeX
@misc{perringlorian2026theory,
  title = {{Theory of Situations}},
  author = {Marie-Jeanne Perrin-Glorian and Claire Margolinas},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09942},
  eprint = {2610.09942},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05781586v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Theory of Situations
AU  - Marie-Jeanne Perrin-Glorian
AU  - Claire Margolinas
PY  - 2026
DA  - 2026/10/06
PB  - HAL
DO  - 10.48550/arxiv.2610.09942
UR  - https://hal.science/hal-05781586v1
AB  - Guy Brousseau began developing the theory of situations in the 1960s, with the ambition of building an experimental epistemology of mathematics. Over the decades, the theory has been structured, consolidated and extended, drawing on the contributions of numerous researchers. It is now recognized as one of the "genuine ground theories" in mathematics education. In this chapter, we will describe the foundations and reasons for the existence of this theory, its systemic approach to teaching and learning issues, its current architecture, which articulates a theory of mathematical situations and a theory of didactic situations, and its key concepts, as well as its functions, particularly its predictive and explanatory functions. We will illustrate this presentation with an example in geometry that also highlights the role played by the didactic engineering methodology in this theory and related work.
ER  -