Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions

Karen Gisel Campo-Meneses; Vicenç Font; Javier García-García; Alicia Sánchez

doi:10.29333/ejmste/11126

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Karen Gisel Campo-Meneses ¹ , Vicenç Font ² ^* , Javier García-García ¹ , Alicia Sánchez ²

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¹ Universidad Autónoma de Guerrero, MEXICO² Universitat de Barcelona, SPAIN^* Corresponding Author

Abstract

The current paper aims to identify the mathematical connections activated by 10 Mexican high school students while solving mathematical tasks that involve the exponential and logarithmic function. We used the Expanded Mathematical Connections Model (EMCM) and the Onto-Semiotic Approach of Cognition and Mathematical Instruction (OSA) as theoretical frameworks. Task-based interviews were used to collect data that was analyzed using thematic and onto-semiotic analyses. It was found that the connection of reversibility is essential for achieving students’ full understanding of the existent relationship between the exponential and logarithmic function; however, this requires a network of connections.

Keywords

exponential function
logarithmic function
mathematical connections
mathematical practice

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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 17, Issue 9, September 2021, Article No: em1998

https://doi.org/10.29333/ejmste/11126

Publication date: 06 Aug 2021

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Article Downloads: 2479

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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

Campo-Meneses, K. G., Font, V., García-García, J., & Sánchez, A. (2021). Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions. Eurasia Journal of Mathematics, Science and Technology Education, 17(9), em1998. https://doi.org/10.29333/ejmste/11126

Vancouver

Campo-Meneses KG, Font V, García-García J, Sánchez A. Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions. EURASIA J Math Sci Tech Ed. 2021;17(9):em1998. https://doi.org/10.29333/ejmste/11126

AMA

Campo-Meneses KG, Font V, García-García J, Sánchez A. Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions. EURASIA J Math Sci Tech Ed. 2021;17(9), em1998. https://doi.org/10.29333/ejmste/11126

Chicago

Campo-Meneses, Karen Gisel, Vicenç Font, Javier García-García, and Alicia Sánchez. "Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions". Eurasia Journal of Mathematics, Science and Technology Education 2021 17 no. 9 (2021): em1998. https://doi.org/10.29333/ejmste/11126

Harvard

Campo-Meneses, K. G., Font, V., García-García, J., and Sánchez, A. (2021). Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions. Eurasia Journal of Mathematics, Science and Technology Education, 17(9), em1998. https://doi.org/10.29333/ejmste/11126

MLA

Campo-Meneses, Karen Gisel et al. "Mathematical Connections Activated in High School Students’ Practice Solving Tasks on the Exponential and Logarithmic Functions". Eurasia Journal of Mathematics, Science and Technology Education, vol. 17, no. 9, 2021, em1998. https://doi.org/10.29333/ejmste/11126