Inteligência artificial e ensino de matemática: continuidades, rupturas e recomposições epistemológicas
DOI:
https://doi.org/10.23925/2358-4122.74642Keywords:
artificial intelligence, mathematics educatin, epistemological recompositionsAbstract
This text is the result of a hybrid writing process. First, I created a slide presentation for a lecture I gave on December 8, 2025, to an AI working group at the University of Montpellier (Trouche 2025a). Then, I asked an AI (ChatGPT5) to draft a text based on that slide presentation, intended for an audience of mathematics teachers and researchers. I revisited that text (verification and additions). This process resulted in a French version. ChatGPT then translated this text into English, Chinese, Portuguese, Turkish, and Dutch, and sent it to speakers of those languages who are also fluent in French. They verified its consistency with the original French version.
References
REFERÊNCIAS
ALAIN. Propos sur l’éducation. Presses Universitaires de France, 1932.
BALACHEFF, N. AI for the Learning of Mathematics. In P.R. Richard, M.P. Vélez, & S. Van Vaerenbergh (Eds.), Mathematics Education in the Age of Artificial Intelligence (pp. v–x). Springer, 2022. https://doi.org/10.1007/978-3-030-86909-0
CHEVALLARD, Y. Intégration et viabilité des objets informatiques dans l’enseignement des mathématiques. Le problème de l’ingénierie didactique. In : B. Cornu, L’ordinateur pour enseigner les mathématiques, p. 183-203, 1992.
EMPRIN, F.; RICHARD, P. R. Intelligence artificielle et didactique des mathématiques : état des lieux et questionnements. Annales de didactique et de sciences cognitives, 28, p. 131–181, 2023. https://doi.org/10.4000/adsc.3286
GU, F.; HUANG, R.; GU, L. Theory and Development of Teaching Through Variation in Mathematics in China. In: HUANG, R.; LI, Y. (Eds.). Teaching and Learning Mathematics through Variation, p. 13 – 41, 2017. Sense Publishers. https://doi.org/10.1007/978-94-6300-494-8.
GUEUDET, G.; TROUCHE, L. Towards new documentation systems for teachers? Educational Studies in Mathematics, v. 68, n.3, p. 289 – 309, 2008. https://doi.org/10.1007/s10649-007-9119-8.
MONAGHAN, J.; TROUCHE, L.; BORWEIN, J. Tools and Mathematics: Instruments for Learning. Springer, 2016.
TROUCHE, L. The Development of Mathematics Practices in the Mesopotamian Scribal Schools. In: MONAGHAN, J.; TROUCHE, L.; BORWEIN, J. M. (Eds.). Tools and mathematics, instruments for learning, p. 117-138, 2016. Springer
TROUCHE, L. Intelligence artificielle et enseignement des mathématiques : une rupture comme il y en a eu d’autres ? Présentation, Groupe IA IMAG., Université de Montpellier, 2025a. https://docs.google.com/presentation/d/1Mo1s9JZ7VIerTnnwUF4BWxHt6Dx9wB6y/edit?usp=sharing&ouid=114874054419624165660&rtpof=true&sd=true
TROUCHE, L. A Christmas problem for both human and artificial intelligence, 2025b.
TROUCHE, L.; DRIJVERS, P. Webbing and orchestration. Two interrelated views on digital tools in mathematics education, Teaching Mathematics and Its Applications: International
Journal of the Institute of Mathematics and its Applications, v. 33, n. 3, 193-209, 2014. https://arxiv.org/pdf/1408.2092.
WANG, C. An investigation of mathematics teachers’ documentation expertise and its development in collectives: two contrasting cases in China and France. Thèse ENS de Lyon et East China Normal University, 2019. https://tel.archives-ouvertes.fr/tel-02275820.
XU, B. En Chine, la volonté de cultiver des compétences mathématiques pour répondre aux évolutions du pays. Revue Internationale d’Éducation de Sèvres, v. 93, p. 69–79, 2023. https://doi.org/10.4000/ries.14200.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Ensino da Matemática em Debate

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Este obra está licenciado com uma Licença Creative Commons Atribuição 4.0 Internacional.


