Teaching 3D Geometry with Dynamic Environments in Upper Secondary Classes: How to Help Students Combine Empirical Perception and Theoretical Deduction?

Artigo2026

Mingyu Shao; Jana Trgalova; Luc Trouche

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Resumo

This study investigates a crucial didactical challenge for mathematics teachers when they integrate 3D dynamic geometry environments (3D DGEs) into upper secondary classrooms. The challenge concerns teachers' regulation of the interaction of two processes--empirical perception (often intertwined with actions) and theoretical deduction--in student learning. We establish a framework to characterize teachers' behaviour regarding the two processes of students, referring to it as the "coordination behaviour" framework. The framework is then applied to a case study involving an experienced French mathematics teacher. The analysis identifies three distinct patterns in the teacher's coordination behaviour, revealing that despite her goal of fostering students' theoretical deduction and empirical perception--action concurrently, she sometimes has to make compromises due to contextual and personal factors, leading to a diminished focus on one of these two processes. The results highlight the intricacy of teachers' coordination in upper secondary classrooms integrating 3D DGEs. We therefore call for the development of teacher education programmes that specifically prepare teachers to address this challenge.

Dados da obra

Tipo
Artigo
Periódico
Journal of Mathematics Teacher Education
Ano
2026
Idioma
en
Palavras-chave
Mathematics Instruction; Geometry; Mathematics Teachers; Secondary School Teachers; Case Studies; Foreign Countries; Teacher Behavior
Temas
Formação de Professores de Matemática, Geometria
ISSN
1386-4416
Acesso
Metadados apenas
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
SHAO, Mingyu; TRGALOVA, Jana; TROUCHE, Luc. Teaching 3D Geometry with Dynamic Environments in Upper Secondary Classes: How to Help Students Combine Empirical Perception and Theoretical Deduction?. Journal of Mathematics Teacher Education, 2026. Disponível em: http://dx.doi.org/10.1007/s10857-025-09716-z. Acesso em: 5 nov. 2026.

APA

Shao, M., Trgalova, J., & Trouche, L. (2026). Teaching 3D Geometry with Dynamic Environments in Upper Secondary Classes: How to Help Students Combine Empirical Perception and Theoretical Deduction?. Journal of Mathematics Teacher Education. http://dx.doi.org/10.1007/s10857-025-09716-z

BibTeX
@article{shao2026,
  author = {Shao, Mingyu and Trgalova, Jana and Trouche, Luc},
  title = {Teaching 3D Geometry with Dynamic Environments in Upper Secondary Classes: How to Help Students Combine Empirical Perception and Theoretical Deduction?},
  year = {2026},
  journal = {Journal of Mathematics Teacher Education},
  url = {http://dx.doi.org/10.1007/s10857-025-09716-z},
  language = {en}
}
RIS
TY  - JOUR
AU  - Shao, Mingyu
AU  - Trgalova, Jana
AU  - Trouche, Luc
TI  - Teaching 3D Geometry with Dynamic Environments in Upper Secondary Classes: How to Help Students Combine Empirical Perception and Theoretical Deduction?
PY  - 2026
JO  - Journal of Mathematics Teacher Education
UR  - http://dx.doi.org/10.1007/s10857-025-09716-z
LA  - en
ER  - 

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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