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Non-Euclidean geometries in and for the mathematics teacher education: A literature review

Artigo2024

Melvin Cruz Amaya ORCID; Gisela Montiel Espinosa ORCID

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Resumo

Science challenges the relevance of school geometry in its treatment of space. Therefore, the research discusses the incorporation of non-Euclidean geometries in the initial and continuing education of mathematics teachers. Hence, this literature review aims to synthesize and describe, in a broad and current range, the recent state of research in educational mathematics on these geometries in teacher education. To do this, we configured a method in three moments: the search, evaluation, selection, and organization of the sources found and reading, analyzing, and writing results. The results highlight a regional and temporal interest that prioritizes teaching practice. Furthermore, a deficit and prescriptive perspective of teachers' knowledge and a minority perspective of the teacher as a subject of knowledge are recognized. We conclude with the need for research on various phenomena, including Euclidean generalizations.

Dados da obra

Tipo
Artigo
Periódico
Olhar de Professor, v. 27, p. 1-25
Editora
Ponta Grossa State University
Ano
2024 (2024-06-03)
Idioma
en
Palavras-chave
non-Euclidean geometry; mathematics teacher education; initial teacher education; continuing teacher education; school geometry; teaching practice
Temas
Formação de Professores de Matemática, Geometria, Práticas Pedagógicas
DOI
10.5212/olharprofr.v.27.22500.021
ISSN
1518-5648, 1984-0187
Licença
cc-by
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
AMAYA, Melvin Cruz; MONTIEL ESPINOSA, Gisela. Non-Euclidean geometries in and for the mathematics teacher education: A literature review. Olhar de Professor, v. 27, p. 1-25, 2024. DOI: https://doi.org/10.5212/olharprofr.v.27.22500.021.

APA

Amaya, M. C., & Montiel Espinosa, G. (2024). Non-Euclidean geometries in and for the mathematics teacher education: A literature review. Olhar de Professor, 27, 1-25. https://doi.org/10.5212/olharprofr.v.27.22500.021

BibTeX
@article{amaya2024,
  author = {Amaya, Melvin Cruz and Montiel Espinosa, Gisela},
  title = {Non-Euclidean geometries in and for the mathematics teacher education: A literature review},
  year = {2024},
  journal = {Olhar de Professor},
  volume = {27},
  pages = {1-25},
  publisher = {Ponta Grossa State University},
  doi = {10.5212/olharprofr.v.27.22500.021},
  language = {en}
}
RIS
TY  - JOUR
AU  - Amaya, Melvin Cruz
AU  - Montiel Espinosa, Gisela
TI  - Non-Euclidean geometries in and for the mathematics teacher education: A literature review
PY  - 2024
JO  - Olhar de Professor
VL  - 27
SP  - 1
EP  - 25
DO  - 10.5212/olharprofr.v.27.22500.021
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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