Historical Creativities for the Teaching of Functions and Infinitesimal Calculus

Iran Abreu Mendes

doi:10.29333/iejme/10876

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Iran Abreu Mendes ¹ ² ^*

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¹ Universidade Federal do Pará, BRAZIL² Programa de Pós-graduação em Educação em Ciências e Matemáticas – UFPA, BRAZIL^* Corresponding Author

Abstract

This article presents reflections on a research that investigated processes operationalized by mathematical thoughts and practices which sought explanations for the ways of being of mathematical objects in their correlations in the socio-cultural context throughout our human history and how these ways of being they were captured, and still are, by the mind of those who exercised creativity in all the dimensions of mathematical creation both in the past and in the present, in order to produce knowledge to be disseminated in the school and scientific context. The research is a historical-epistemological study on mathematical creation, aimed at characterizing modes of stages of this creation focusing on the development of infinitesimal calculus and on the concept of function. At the end of the article, we propose educational guidelines for the teaching of these mathematical themes, based on the creation processes announced throughout the text.

Keywords

creativity
mathematical creation
mathematical history

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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, 2021, Volume 16, Issue 2, Article No: em0629

https://doi.org/10.29333/iejme/10876

Publication date: 01 May 2021

Article Views: 1198

Article Downloads: 912

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Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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How to cite this article

APA

Mendes, I. A. (2021). Historical Creativities for the Teaching of Functions and Infinitesimal Calculus. International Electronic Journal of Mathematics Education, 16(2), em0629. https://doi.org/10.29333/iejme/10876

Vancouver

Mendes IA. Historical Creativities for the Teaching of Functions and Infinitesimal Calculus. INT ELECT J MATH ED. 2021;16(2):em0629. https://doi.org/10.29333/iejme/10876

AMA

Mendes IA. Historical Creativities for the Teaching of Functions and Infinitesimal Calculus. INT ELECT J MATH ED. 2021;16(2), em0629. https://doi.org/10.29333/iejme/10876

Chicago

Mendes, Iran Abreu. "Historical Creativities for the Teaching of Functions and Infinitesimal Calculus". International Electronic Journal of Mathematics Education 2021 16 no. 2 (2021): em0629. https://doi.org/10.29333/iejme/10876

Harvard

Mendes, I. A. (2021). Historical Creativities for the Teaching of Functions and Infinitesimal Calculus. International Electronic Journal of Mathematics Education, 16(2), em0629. https://doi.org/10.29333/iejme/10876

MLA

Mendes, Iran Abreu "Historical Creativities for the Teaching of Functions and Infinitesimal Calculus". International Electronic Journal of Mathematics Education, vol. 16, no. 2, 2021, em0629. https://doi.org/10.29333/iejme/10876