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Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order

Artigo2021

Erika Zubillaga-Guerrero; Flor Monserrat Rodríguez-Vásquez; Jesús Romero-Valencia

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Resumo

In Abstract Algebra, isomorphism is a difficult concept to understand for undergraduate students. However, Mathematics Education suggests that it is necessary to promote mathematical connections in students to foster their understanding, that is, to help them establish relationships between two or more ideas, concepts, definitions, theorems, procedures, representations, or meanings, with other disciplines and with real life situations. This paper presents some intra-mathematical connections on the classification of groups of prime order that emerged during task solving, which were based on a historical and epistemological analysis of the concept of isomorphic groups. This research is a case study, where an interview was applied for data collection, and qualitative text analysis was performed. As a result, fourteen connections associated with the concepts of group, subgroup, cyclic groups, isomorphism, isomorphic groups, and the Lagrange theorem were identified, involved in the classification of prime order groups. We concluded that the tasks designed with a historical foundation enhance a deep understanding from the connected appreciation of concepts, theorems, methods, and algorithms.

Dados da obra

Tipo
Artigo
Periódico
REDIMAT, v. 10, n. 3
Editora
Hipatia Press
Ano
2021
Idioma
en
Palavras-chave
Mathematical connections; history; isomorphic groups; mathematics education
Temas
Álgebra
DOI
10.17583/redimat.8794
ISSN
2014-3621
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
ZUBILLAGA-GUERRERO, Erika; RODRÍGUEZ-VÁSQUEZ, Flor Monserrat; ROMERO-VALENCIA, Jesús. Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order. REDIMAT, v. 10, n. 3, 2021. DOI: https://doi.org/10.17583/redimat.8794.

APA

Zubillaga-Guerrero, E., Rodríguez-Vásquez, F. M., & Romero-Valencia, J. (2021). Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order. REDIMAT, 10(3). https://doi.org/10.17583/redimat.8794

BibTeX
@article{zubillagaguerrero2021,
  author = {Zubillaga-Guerrero, Erika and Rodríguez-Vásquez, Flor Monserrat and Romero-Valencia, Jesús},
  title = {Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order},
  year = {2021},
  journal = {REDIMAT},
  volume = {10},
  number = {3},
  publisher = {Hipatia Press},
  doi = {10.17583/redimat.8794},
  language = {en}
}
RIS
TY  - JOUR
AU  - Zubillaga-Guerrero, Erika
AU  - Rodríguez-Vásquez, Flor Monserrat
AU  - Romero-Valencia, Jesús
TI  - Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order
PY  - 2021
JO  - REDIMAT
VL  - 10
IS  - 3
DO  - 10.17583/redimat.8794
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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