Encyclopedia of Mathematics Education

2020 Edition
| Editors: Stephen Lerman

Anthropological Theory of the Didactic (ATD)

  • Yves ChevallardEmail author
  • Marianna Bosch
Reference work entry
DOI: https://doi.org/10.1007/978-3-030-15789-0_100034


The Anthropological Theory of the Didactic (ATD) is a research framework created by Yves Chevallard, the first formulation of which appeared in the 1980s with the notion of didactic transposition and the analyses in terms of the ecology of knowledge (Chevallard 1980, 1990, 1991, 1992). Since then, research within the ATD has developed in mathematics education as well as in other educational areas (Achiam and Marandino 2014; Chevallard and Ladage 2008; Florensa 2018). The aim of the ATD is the elucidation of human societies’ relation to “the didactic,” that is to say, to all the possible factors of learning. By adopting an anthropological point of view, it purports to embrace the didactic wherever it may show itself around us, paying special attention to the institutional constructions of knowledge and the conditions established to disseminate it. The ATD has developed a precise/specific conceptual organization to approach these conditions and constructions from a fresh...


Didactics of mathematics Didactic transposition Didactic system Praxeology Scale of didactic co-determinacy Ecology of knowledge Personal and institutional relations Study paradigms 
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  1. Achiam M, Marandino M (2014) A framework for understanding the conditions of science representation and dissemination in museums. Mus Manage Curatorship 29(1):66–82CrossRefGoogle Scholar
  2. Barquero B, Bosch M, Gascon J (2013) The ecological dimension of the teaching of mathematical modelling at the university. Rech Didact Math 33(3):307–338Google Scholar
  3. Bosch M (2015) Doing research within the anthropological theory of the didactic: the case of school algebra. In: Cho S (ed) Selected regular lectures from the 12th international congress on mathematical education. Springer, ChamGoogle Scholar
  4. Bosch M (2018) Study and research paths: a model for inquiry. Proc Int Cong Math Rio de Janeiro 3:4001–4022Google Scholar
  5. Bosch M et al (eds) (2011) Un panorama de la TAD. An overview of ATD. CRM, Barcelona. http://www.recercat.net/bitstream/handle/2072/200617/Documents10.pdf?sequence=1
  6. Bronner A et al (eds) (2010) Apports de la théorie anthropologique du didactique. Diffuser les mathématiques (et les autres savoirs) comme outils de connaissance et d’action. IUFM, MontpellierGoogle Scholar
  7. Chevallard Y (1980) The didactics of mathematics: its problematic and related research. RDM 2(1):146–157Google Scholar
  8. Chevallard Y (1990) On mathematics education and culture: critical afterthoughts. Educ Stud Math 21:3–27CrossRefGoogle Scholar
  9. Chevallard Y (1991) La transposition didactique – Du savoir savant au savoir enseigné. (2e) La Pensée sauvage, GrenobleGoogle Scholar
  10. Chevallard Y (1992) Fundamental concepts in didactics: perspectives provided by an anthropological approach. In: Douady R, Mercier A (eds) Research in Didactique of mathematics, selected papers. La Pensée sauvage, Grenoble, pp 131–167Google Scholar
  11. Chevallard Y (2006) Steps towards a new epistemology in mathematics education. In: Bosch M (ed) Proceedings of CERME 4, Fundemi IQS, Barcelona, pp 21–30Google Scholar
  12. Chevallard Y (2007) Readjusting didactics to a changing epistemology. Eur Educ Res J 6(2):131–134CrossRefGoogle Scholar
  13. Chevallard Y (2015) Teaching mathematics in tomorrow’s society: a case for an oncoming counter paradigm. In: Cho S (ed) The proceedings of the 12th international congress on mathematical education. Springer, ChamGoogle Scholar
  14. Chevallard Y (2019) Introducing the anthropological theory of the didactic: an attempt at a principled approach. Hiroshima J Math Educ 12:71–114Google Scholar
  15. Chevallard Y, Ladage C (2008) E-learning as a touchstone for didactic theory, and conversely. J e-Learn Knowl Soc 4(2):163–171Google Scholar
  16. Cirade G et al (eds) (2017) Évolutions contemporaines du rapport aux mathématiques et aux autres savoirs à l’école et dans la société. https://citad4.sciencesconf.org
  17. Florensa I (2018) Contributions of the epistemological and didactic analysis: question-answer maps in engineering and in teacher education. Doctoral dissertation. University Ramon Llull. https://www.tesisenred.net/handle/10803/664414
  18. Ruiz-Higueras L, Estepa A, Javier García F (eds) (2007) Sociedad, Escuela y Matemáticas. Aportaciones de la Teoría Antropológica de la Didáctico (TAD). Universidad de Jaén, JaénGoogle Scholar

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Aix-Marseille UniversitéMarseilleFrance
  2. 2.Apprentissage Didactique, Evaluation, Formation, UMR ADEF – Unité Mixte de RechercheMarseilleFrance
  3. 3.IQS School of Management, Universitat Ramon LlullBarcelonaSpain

Section editors and affiliations

  • Michèle Artigue
    • 1
  1. 1.Laboratoire de Didactique André Revuz (EA4434)Université Paris-DiderotParisFrance