Characterization of sub-fields of derivative problems in engineering textbooks

Maritza Katherine Galindo Illanes; Adriana Breda; Hugo Alvarado-Martínez; Gemma Sala-Sebastià

doi:10.29333/ejmste/15987

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Maritza Katherine Galindo Illanes ¹ ^* , Adriana Breda ² , Hugo Alvarado-Martínez ³ , Gemma Sala-Sebastià ²

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¹ Universidad San Sebastián, Concepción, CHILE² l’Institut de Recerca en Educació, Universitat de Barcelona, Barcelona, SPAIN³ Universidad Católica de la Santísima Concepción, Concepción, CHILE^* Corresponding Author

Abstract

This paper aims to characterize the subfields of problems emerging from problem-situations of the derivative in university textbooks proposed for the training of civil and commercial engineers. Thirteen textbooks used for the teaching of the derivative in the syllabi of different Chilean universities were qualitatively analyzed. The notion of epistemic configuration of the onto-semiotic approach to mathematical knowledge and education was used for this purpose. It is observed that a complex approach to the derivative is adopted in the textbooks considered. A total of 21 subfields of problems appear, although not all the textbooks extensively use subfields of derivative problems. The findings of this research establish relevant guidelines for the design of a specific didactic proposal to learn the construction of the derivative in engineering courses.

Keywords

teaching the derivative
onto-semiotic approach
engineering
textbooks

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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 21, Issue 3, March 2025, Article No: em2591

https://doi.org/10.29333/ejmste/15987

Publication date: 01 Mar 2025

Online publication date: 17 Feb 2025

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How to cite this article

APA

Galindo Illanes, M. K., Breda, A., Alvarado-Martínez, H., & Sala-Sebastià, G. (2025). Characterization of sub-fields of derivative problems in engineering textbooks. Eurasia Journal of Mathematics, Science and Technology Education, 21(3), em2591. https://doi.org/10.29333/ejmste/15987

Vancouver

Galindo Illanes MK, Breda A, Alvarado-Martínez H, Sala-Sebastià G. Characterization of sub-fields of derivative problems in engineering textbooks. EURASIA J Math Sci Tech Ed. 2025;21(3):em2591. https://doi.org/10.29333/ejmste/15987

AMA

Galindo Illanes MK, Breda A, Alvarado-Martínez H, Sala-Sebastià G. Characterization of sub-fields of derivative problems in engineering textbooks. EURASIA J Math Sci Tech Ed. 2025;21(3), em2591. https://doi.org/10.29333/ejmste/15987

Chicago

Galindo Illanes, Maritza Katherine, Adriana Breda, Hugo Alvarado-Martínez, and Gemma Sala-Sebastià. "Characterization of sub-fields of derivative problems in engineering textbooks". Eurasia Journal of Mathematics, Science and Technology Education 2025 21 no. 3 (2025): em2591. https://doi.org/10.29333/ejmste/15987

Harvard

Galindo Illanes, M. K., Breda, A., Alvarado-Martínez, H., and Sala-Sebastià, G. (2025). Characterization of sub-fields of derivative problems in engineering textbooks. Eurasia Journal of Mathematics, Science and Technology Education, 21(3), em2591. https://doi.org/10.29333/ejmste/15987

MLA

Galindo Illanes, Maritza Katherine et al. "Characterization of sub-fields of derivative problems in engineering textbooks". Eurasia Journal of Mathematics, Science and Technology Education, vol. 21, no. 3, 2025, em2591. https://doi.org/10.29333/ejmste/15987