Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study

Verónica Díaz; Maria Aravena; George Flores

doi:10.29333/ejmste/8547

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Verónica Díaz ¹ ^* , Maria Aravena ² ^* , George Flores ³ ^*

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¹ Universidad de Los Lagos, Departamento de Ciencias Exactas, Osorno, CHILE² Universidad Católica del Maule, Facultad de Ciencias Básicas, Talca, CHILE³ Universidad de Los Lagos, Dirección de Acceso, Equidad y Permanencia, Osorno, CHILE^* Corresponding Author

Abstract

The article aims to determine the academic performance and errors in the resolution of types of problems of application of the quadratic function, of high school students from the Los Lagos Region and Los Rios Region in Chile. The approach is qualitative and descriptive with case studies. A math test with open response problems and an opinion questionnaire were developed and applied. Through the results, the highest academic performance is evidenced in the routine problems of purely mathematical context and fantasist context, but with difficulty in the resolution of non-routine problems. In addition, errors originating in affective and emotional attitudes associated with blockages at the time of initiating the resolution, forgetfulness at the time of posing the quadratic function, prevail over cognitive errors originating in an obstacle and errors originating in the absence of meaning.

Keywords

errors
problem solving
quadratic function
secondary education

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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 16, Issue 11, November 2020, Article No: em1896

https://doi.org/10.29333/ejmste/8547

Publication date: 26 Sep 2020

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APA

Díaz, V., Aravena, M., & Flores, G. (2020). Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study. Eurasia Journal of Mathematics, Science and Technology Education, 16(11), em1896. https://doi.org/10.29333/ejmste/8547

Vancouver

Díaz V, Aravena M, Flores G. Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study. EURASIA J Math Sci Tech Ed. 2020;16(11):em1896. https://doi.org/10.29333/ejmste/8547

AMA

Díaz V, Aravena M, Flores G. Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study. EURASIA J Math Sci Tech Ed. 2020;16(11), em1896. https://doi.org/10.29333/ejmste/8547

Chicago

Díaz, Verónica, Maria Aravena, and George Flores. "Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study". Eurasia Journal of Mathematics, Science and Technology Education 2020 16 no. 11 (2020): em1896. https://doi.org/10.29333/ejmste/8547

Harvard

Díaz, V., Aravena, M., and Flores, G. (2020). Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study. Eurasia Journal of Mathematics, Science and Technology Education, 16(11), em1896. https://doi.org/10.29333/ejmste/8547

MLA

Díaz, Verónica et al. "Solving Problem Types Contextualized to the Quadratic Function and Error Analysis: A Case Study". Eurasia Journal of Mathematics, Science and Technology Education, vol. 16, no. 11, 2020, em1896. https://doi.org/10.29333/ejmste/8547