A didactic proposal for teaching factorization cases of expressions of the form ax2+by+cx+ay+exy+f through Mathigon

Paola Alejandra Balda Álvaréz; Marcos Chacón-Castro; Romina Soledad Busain; Janio Jadán-Guerrero

doi:10.29333/ejmste/15198

A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon

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Paola Alejandra Balda Álvaréz ¹ , Marcos Chacón-Castro ² ^* , Romina Soledad Busain ³ , Janio Jadán-Guerrero ⁴

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¹ Secretaría de Educación de Soacha, Institución Educativa General Santander, Soacha, COLOMBIA² Grupo de Investigación GIECI, Fundación Universitaria Internacional de La Rioja, Bogotá, COLOMBIA³ Instituto de Educación Mercedes Pacheco, Escuela de Educación Secundaria n°61, La Plata, Buenos Aires, ARGENTINA⁴ Mechatronics and Interactive Systems (MIST), Universidad Indoamérica, Quito, ECUADOR^* Corresponding Author

Abstract

This paper presents the results of research conducted in a classroom setting with eighth-grade students in a public school in Argentina. The experience aimed, within the framework of an algebra course, to introduce the design and results of the implementation of a didactic proposal designed to establish relationships between expressions of the form ax²+by+cx+ay+exy+f, with a, b ∈ N and c, d, e, f ∈ Z, as a product of factors through the virtual manipulative Mathigon. The evidence collected leads to the identification that algebraic work using virtual manipulatives allows students to give a different meaning to mathematics, explore various forms of representation, and construct their own knowledge.

Keywords

Mathigon
mathematics education
factoring
algebra
didactic engineering

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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

EURASIA J Math Sci Tech Ed, Volume 20, Issue 10, October 2024, Article No: em2514

https://doi.org/10.29333/ejmste/15198

Publication date: 01 Oct 2024

Online publication date: 25 Sep 2024

Article Views: 538

Article Downloads: 445

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How to cite this article

APA

Balda Álvaréz, P. A., Chacón-Castro, M., Busain, R. S., & Jadán-Guerrero, J. (2024). A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon. Eurasia Journal of Mathematics, Science and Technology Education, 20(10), em2514. https://doi.org/10.29333/ejmste/15198

Vancouver

Balda Álvaréz PA, Chacón-Castro M, Busain RS, Jadán-Guerrero J. A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon. EURASIA J Math Sci Tech Ed. 2024;20(10):em2514. https://doi.org/10.29333/ejmste/15198

AMA

Balda Álvaréz PA, Chacón-Castro M, Busain RS, Jadán-Guerrero J. A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon. EURASIA J Math Sci Tech Ed. 2024;20(10), em2514. https://doi.org/10.29333/ejmste/15198

Chicago

Balda Álvaréz, Paola Alejandra, Marcos Chacón-Castro, Romina Soledad Busain, and Janio Jadán-Guerrero. "A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 10 (2024): em2514. https://doi.org/10.29333/ejmste/15198

Harvard

Balda Álvaréz, P. A., Chacón-Castro, M., Busain, R. S., and Jadán-Guerrero, J. (2024). A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon. Eurasia Journal of Mathematics, Science and Technology Education, 20(10), em2514. https://doi.org/10.29333/ejmste/15198

MLA

Balda Álvaréz, Paola Alejandra et al. "A didactic proposal for teaching factorization cases of expressions of the form ax²+by+cx+ay+exy+f through Mathigon". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 10, 2024, em2514. https://doi.org/10.29333/ejmste/15198