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Exploring Students’ Geometrical Thinking Through Dynamic Transformations Using 3D Computer-Based Representations

Artigo2022

Christos Markopoulos; Patrick Bruck; Koralia Petta

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Resumo

This paper examines Grade 6 students’ thinking about geometrical solids and their properties in the context of a computer-based task. The main focus is to explore how students interact with a number of tasks based on the dynamic transformation of computer-based representations of 3D solids in a geometry classroom with the aid of a Dynamic Geometric Environment. The analysis of two teaching experiments suggests that the dynamic transformations of geometrical solids encourage the students to investigate relationships between the solids and their properties and their 2D representations. Through the tasks, students realize the existence of non-trivial conventions in 2D representations and become aware that angles and edge dimensions may be distorted. The study provides insight into student learning around geometric solids and their properties, and consequently an opportunity to enhance the teaching of 3D geometry.

Dados da obra

Tipo
Artigo
Periódico
Journal of Mathematics Education at Teachers College, v. 13, n. 2
Editora
Columbia University Libraries
Ano
2022
Idioma
en
Palavras-chave
geometrical thinking; spatial reasoning; 3D representations; geometry education; mathematics teacher education
Temas
Formação de Professores de Matemática, Geometria
DOI
10.52214/jmetc.v13i2.9009
ISSN
2156-1397, 2156-1400
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
MARKOPOULOS, Christos; BRUCK, Patrick; PETTA, Koralia. Exploring Students’ Geometrical Thinking Through Dynamic Transformations Using 3D Computer-Based Representations. Journal of Mathematics Education at Teachers College, v. 13, n. 2, 2022. DOI: https://doi.org/10.52214/jmetc.v13i2.9009.

APA

Markopoulos, C., Bruck, P., & Petta, K. (2022). Exploring Students’ Geometrical Thinking Through Dynamic Transformations Using 3D Computer-Based Representations. Journal of Mathematics Education at Teachers College, 13(2). https://doi.org/10.52214/jmetc.v13i2.9009

BibTeX
@article{markopoulos2022,
  author = {Markopoulos, Christos and Bruck, Patrick and Petta, Koralia},
  title = {Exploring Students’ Geometrical Thinking Through Dynamic Transformations Using 3D Computer-Based Representations},
  year = {2022},
  journal = {Journal of Mathematics Education at Teachers College},
  volume = {13},
  number = {2},
  publisher = {Columbia University Libraries},
  doi = {10.52214/jmetc.v13i2.9009},
  language = {en}
}
RIS
TY  - JOUR
AU  - Markopoulos, Christos
AU  - Bruck, Patrick
AU  - Petta, Koralia
TI  - Exploring Students’ Geometrical Thinking Through Dynamic Transformations Using 3D Computer-Based Representations
PY  - 2022
JO  - Journal of Mathematics Education at Teachers College
VL  - 13
IS  - 2
DO  - 10.52214/jmetc.v13i2.9009
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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