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What Enabled the Production of Mathematical Knowledge in Complex Analysis?

Artigo2023

José Gerardo Piña-Aguirre; Rosa María Farfán Márquez

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Resumo

With the objective of identifying intrinsic forms of mathematical production in complex analysis (CA), this study presents an analysis of the mathematical activity of five original works that contributed to the development of Cauchy's integral theorem. The analysis of the mathematical activity was carried out through the identification of the types of expressions used and the way they were used by the historical subjects when communicating their results, to subsequently identify transversal elements of knowledge production. The analysis was refined by the notion of confrontation, which depicts the development of mathematical knowledge through the idea of building knowledge against previous knowledge. As a result of the study we established epistemological hypothesis, which are conceived as conjectures that reveal ways in which mathematical knowledge was generated in CA.

Dados da obra

Tipo
Artigo
Periódico
International Electronic Journal of Mathematics Education
Ano
2023
Idioma
en
Palavras-chave
Mathematics Education; Epistemology; Theories; Learning Processes; Prior Learning; Hypothesis Testing; Mathematical Concepts; Computation; Mathematical Logic
Temas
Cálculo
Acesso
Download disponível
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
PIÑA-AGUIRRE, José Gerardo; FARFÁN MÁRQUEZ, Rosa María. What Enabled the Production of Mathematical Knowledge in Complex Analysis?. International Electronic Journal of Mathematics Education, 2023. Disponível em: https://eric.ed.gov/?id=EJ1390977. Acesso em: 5 nov. 2026.

APA

Piña-Aguirre, J. G., & Farfán Márquez, R. M. (2023). What Enabled the Production of Mathematical Knowledge in Complex Analysis?. International Electronic Journal of Mathematics Education. https://eric.ed.gov/?id=EJ1390977

BibTeX
@article{pinaaguirre2023,
  author = {Piña-Aguirre, José Gerardo and Farfán Márquez, Rosa María},
  title = {What Enabled the Production of Mathematical Knowledge in Complex Analysis?},
  year = {2023},
  journal = {International Electronic Journal of Mathematics Education},
  url = {https://eric.ed.gov/?id=EJ1390977},
  language = {en}
}
RIS
TY  - JOUR
AU  - Piña-Aguirre, José Gerardo
AU  - Farfán Márquez, Rosa María
TI  - What Enabled the Production of Mathematical Knowledge in Complex Analysis?
PY  - 2023
JO  - International Electronic Journal of Mathematics Education
UR  - https://eric.ed.gov/?id=EJ1390977
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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