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The Extended Theory of Connections (ETC) and its Contributions to Mathematics Education: Some Reflections on the Path Taken

Artigo2025

Camilo Andrés Rodríguez-Nieto ORCID

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Resumo

For several years, a fundamental idea has been promoted that establishing mathematical connections is important for understanding mathematical concepts. This statement has led many researchers to consider that students' difficulties are caused by errors in problem-solving that arise from failing to make necessary connections linked to procedures, graphic representations, meanings, among other aspects, that are inconsistent with institutional mathematics. Given this problem, the Extended Theory of Connections emerged through consensus in the literature, importance in curricular organizations, the quality of analyses of mathematical activity, and its theoretical and methodological development with intra-mathematical, extra-mathematical, ethnomathematical, and neuro-mathematical connections. Specifically, this article addresses a review of the literature on connections that contains a theoretical framework, an appropriate methodology for identifying connections, and some practical cases of connections. It is asserted that mathematical connections are a topic of interest and should continue to be promoted in classrooms to improve the teaching and learning processes of mathematics by involving sociocultural and neurocognitive aspects.

Dados da obra

Tipo
Artigo
Periódico
MATH-EDU Jurnal Ilmu Pendidikan Matematika, v. 10, n. 1, p. 108-133
Ano
2025 (2025-05-07)
Idioma
en
Palavras-chave
mathematical connections; ethnomathematics; mathematics teaching and learning; problem-solving difficulties; graphical representation
Temas
Etnomatemática, Resolução de Problemas
DOI
10.32938/jipm.v10i1.9434
ISSN
2527-5933
Licença
cc-by
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
RODRÍGUEZ-NIETO, Camilo Andrés. The Extended Theory of Connections (ETC) and its Contributions to Mathematics Education: Some Reflections on the Path Taken. MATH-EDU Jurnal Ilmu Pendidikan Matematika, v. 10, n. 1, p. 108-133, 2025. DOI: https://doi.org/10.32938/jipm.v10i1.9434.

APA

Rodríguez-Nieto, C. A. (2025). The Extended Theory of Connections (ETC) and its Contributions to Mathematics Education: Some Reflections on the Path Taken. MATH-EDU Jurnal Ilmu Pendidikan Matematika, 10(1), 108-133. https://doi.org/10.32938/jipm.v10i1.9434

BibTeX
@article{rodrigueznieto2025,
  author = {Rodríguez-Nieto, Camilo Andrés},
  title = {The Extended Theory of Connections (ETC) and its Contributions to Mathematics Education: Some Reflections on the Path Taken},
  year = {2025},
  journal = {MATH-EDU Jurnal Ilmu Pendidikan Matematika},
  volume = {10},
  number = {1},
  pages = {108-133},
  doi = {10.32938/jipm.v10i1.9434},
  language = {en}
}
RIS
TY  - JOUR
AU  - Rodríguez-Nieto, Camilo Andrés
TI  - The Extended Theory of Connections (ETC) and its Contributions to Mathematics Education: Some Reflections on the Path Taken
PY  - 2025
JO  - MATH-EDU Jurnal Ilmu Pendidikan Matematika
VL  - 10
IS  - 1
SP  - 108
EP  - 133
DO  - 10.32938/jipm.v10i1.9434
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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