Progressive mathematics of functions in secondary school students using a free-fall activity

Rosa Isela González-Polo; Apolo Castaneda

doi:10.29333/iejme/14108

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Rosa Isela González-Polo ¹ , Apolo Castaneda ² ^*

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¹ Universidad Autónoma del Estado de México, Toluca, MEXICO² Instituto Politécnico Nacional, Mexico City, MEXICO^* Corresponding Author

Abstract

This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected between students and the teacher, and experiments and class discussions were filmed. The analysis consisted of identifying the development from informal strategies associated with the context of the problem to formal procedures. The results show that the process brings meanings to mathematical ideas such as variation, variables, and the relationship between variables, allows coordination and transition between representations and contributes to the learning of functions as a representation of the variation of physical phenomena.

Keywords

progressive mathematization
functions
free fall
software

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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: em0765

https://doi.org/10.29333/iejme/14108

Publication date: 05 Jan 2024

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How to cite this article

APA

González-Polo, R. I., & Castaneda, A. (2024). Progressive mathematics of functions in secondary school students using a free-fall activity. International Electronic Journal of Mathematics Education, 19(1), em0765. https://doi.org/10.29333/iejme/14108

Vancouver

González-Polo RI, Castaneda A. Progressive mathematics of functions in secondary school students using a free-fall activity. INT ELECT J MATH ED. 2024;19(1):em0765. https://doi.org/10.29333/iejme/14108

AMA

González-Polo RI, Castaneda A. Progressive mathematics of functions in secondary school students using a free-fall activity. INT ELECT J MATH ED. 2024;19(1), em0765. https://doi.org/10.29333/iejme/14108

Chicago

González-Polo, Rosa Isela, and Apolo Castaneda. "Progressive mathematics of functions in secondary school students using a free-fall activity". International Electronic Journal of Mathematics Education 2024 19 no. 1 (2024): em0765. https://doi.org/10.29333/iejme/14108

Harvard

González-Polo, R. I., and Castaneda, A. (2024). Progressive mathematics of functions in secondary school students using a free-fall activity. International Electronic Journal of Mathematics Education, 19(1), em0765. https://doi.org/10.29333/iejme/14108

MLA

González-Polo, Rosa Isela et al. "Progressive mathematics of functions in secondary school students using a free-fall activity". International Electronic Journal of Mathematics Education, vol. 19, no. 1, 2024, em0765. https://doi.org/10.29333/iejme/14108