Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations

Alberto León del Carmen; Wendoly León del Carmen; Javier García-García; Gerardo Salgado-Beltrán

doi:10.29333/iejme/15590

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Alberto León del Carmen ¹ , Wendoly León del Carmen ¹ , Javier García-García ¹ ^* , Gerardo Salgado-Beltrán ¹

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¹ Facultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, MÉXICO^* Corresponding Author

Abstract

The study reported had the aimed to identify the mathematical connections made by a group of Mexican preservice mathematics teachers (PMTs) when solving tasks on systems of linear equations. We consider a mathematical connection as a true relationship that a person makes between two or more ideas, concepts, definitions, theorems, procedures, representations, and meanings with each other, with other disciplines or with real life. Four PMTs participated voluntarily in task-based interviews, providing the primary data for analysis. Thematic analysis was employed to analyze the data. The findings revealed that the preservice teachers made mathematical connections of procedural, implication, feature, meaning, and different representations. However, the findings also revealed that some preservice teachers faced challenges when attempting to solve the tasks, leading to difficulties in establishing certain mathematical connections.

Keywords

mathematical connections
system of linear equations
task-based interviews
thematic analysis
preservice mathematics teachers

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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 4, November 2024, Article No: em0799

https://doi.org/10.29333/iejme/15590

Publication date: 06 Nov 2024

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How to cite this article

APA

León del Carmen, A., León del Carmen, W., García-García, J., & Salgado-Beltrán, G. (2024). Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations. International Electronic Journal of Mathematics Education, 19(4), em0799. https://doi.org/10.29333/iejme/15590

Vancouver

León del Carmen A, León del Carmen W, García-García J, Salgado-Beltrán G. Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations. INT ELECT J MATH ED. 2024;19(4):em0799. https://doi.org/10.29333/iejme/15590

AMA

León del Carmen A, León del Carmen W, García-García J, Salgado-Beltrán G. Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations. INT ELECT J MATH ED. 2024;19(4), em0799. https://doi.org/10.29333/iejme/15590

Chicago

León del Carmen, Alberto, Wendoly León del Carmen, Javier García-García, and Gerardo Salgado-Beltrán. "Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations". International Electronic Journal of Mathematics Education 2024 19 no. 4 (2024): em0799. https://doi.org/10.29333/iejme/15590

Harvard

León del Carmen, A., León del Carmen, W., García-García, J., and Salgado-Beltrán, G. (2024). Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations. International Electronic Journal of Mathematics Education, 19(4), em0799. https://doi.org/10.29333/iejme/15590

MLA

León del Carmen, Alberto et al. "Mathematical connections made by preservice mathematics teachers when solving tasks about systems of linear equations". International Electronic Journal of Mathematics Education, vol. 19, no. 4, 2024, em0799. https://doi.org/10.29333/iejme/15590