Formation and development of mathematical concepts: Elements for research and teaching

Armando Morales-Carballo; Miguel Díaz Cárdenas; Angie Damián Mojica

doi:10.29333/iejme/14023

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Armando Morales-Carballo ¹ ^* , Miguel Díaz Cárdenas ¹ , Angie Damián Mojica ¹

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¹ Universidad Autónoma de Guerrero, Guerrero, MEXICO^* Corresponding Author

Abstract

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of knowledge. Specifically, an interpretation of its application in the teaching of mathematics is under investigation, specifically in the process of formation and development of concepts in the field of Euclidean geometry. However, the elements that are derived are essential for the treatment of concepts in any sub-branch of mathematics. The analysis of this process and the factors that influence the development show some fundamental elements to consider in the research activity in the field of mathematics education.

Keywords

mathematical object
concept
generalization

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 19, Issue 1, February 2024, Article No: em0762

https://doi.org/10.29333/iejme/14023

Publication date: 01 Jan 2024

Online publication date: 14 Dec 2023

Article Views: 1254

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How to cite this article

APA

Morales-Carballo, A., Díaz Cárdenas, M., & Damián Mojica, A. (2024). Formation and development of mathematical concepts: Elements for research and teaching. International Electronic Journal of Mathematics Education, 19(1), em0762. https://doi.org/10.29333/iejme/14023

Vancouver

Morales-Carballo A, Díaz Cárdenas M, Damián Mojica A. Formation and development of mathematical concepts: Elements for research and teaching. INT ELECT J MATH ED. 2024;19(1):em0762. https://doi.org/10.29333/iejme/14023

AMA

Morales-Carballo A, Díaz Cárdenas M, Damián Mojica A. Formation and development of mathematical concepts: Elements for research and teaching. INT ELECT J MATH ED. 2024;19(1), em0762. https://doi.org/10.29333/iejme/14023

Chicago

Morales-Carballo, Armando, Miguel Díaz Cárdenas, and Angie Damián Mojica. "Formation and development of mathematical concepts: Elements for research and teaching". International Electronic Journal of Mathematics Education 2024 19 no. 1 (2024): em0762. https://doi.org/10.29333/iejme/14023

Harvard

Morales-Carballo, A., Díaz Cárdenas, M., and Damián Mojica, A. (2024). Formation and development of mathematical concepts: Elements for research and teaching. International Electronic Journal of Mathematics Education, 19(1), em0762. https://doi.org/10.29333/iejme/14023

MLA

Morales-Carballo, Armando et al. "Formation and development of mathematical concepts: Elements for research and teaching". International Electronic Journal of Mathematics Education, vol. 19, no. 1, 2024, em0762. https://doi.org/10.29333/iejme/14023