Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument

Carolina Henríquez-Rivas; Andrea Vergara-Gómez; José González-Campos

doi:10.29333/ejmste/17910

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Carolina Henríquez-Rivas ¹ ^* , Andrea Vergara-Gómez ¹ , José González-Campos ¹

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¹ Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca, CHILE^* Corresponding Author

Abstract

Mathematics education research highlights a need for instruments to better understand teaching practices specifically concerning geometry education. The research is underpinned by the theory of mathematical working spaces and is based on a quantitative approach. This study presents the results of research organized in stages that demonstrates the process of construction and validation of an instrument aimed at characterizing the teaching of specific geometry topics in secondary education (similarity of figures, homothecy, and Thales’ theorem). The instrument was applied to a sample of 63 secondary education mathematics teachers in Chile. The teachers work in public and private educational institutions. Based on confirmatory factor analysis, three empirical dimensions and items for each dimension are established, which allows teacher profiles to be characterized according to how they decide to teach specific geometric topics. The results can be used for decision-making in future research, for teaching training, and for proposing didactic improvements.

Keywords

teacher profiles
teaching geometry
secondary education
questionnaire validation
mathematical working space

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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 22, Issue 2, February 2026, Article No: em2784

https://doi.org/10.29333/ejmste/17910

Publication date: 14 Feb 2026

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APA

Henríquez-Rivas, C., Vergara-Gómez, A., & González-Campos, J. (2026). Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument. Eurasia Journal of Mathematics, Science and Technology Education, 22(2), em2784. https://doi.org/10.29333/ejmste/17910

Vancouver

Henríquez-Rivas C, Vergara-Gómez A, González-Campos J. Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument. EURASIA J Math Sci Tech Ed. 2026;22(2):em2784. https://doi.org/10.29333/ejmste/17910

AMA

Henríquez-Rivas C, Vergara-Gómez A, González-Campos J. Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument. EURASIA J Math Sci Tech Ed. 2026;22(2), em2784. https://doi.org/10.29333/ejmste/17910

Chicago

Henríquez-Rivas, Carolina, Andrea Vergara-Gómez, and José González-Campos. "Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument". Eurasia Journal of Mathematics, Science and Technology Education 2026 22 no. 2 (2026): em2784. https://doi.org/10.29333/ejmste/17910

Harvard

Henríquez-Rivas, C., Vergara-Gómez, A., and González-Campos, J. (2026). Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument. Eurasia Journal of Mathematics, Science and Technology Education, 22(2), em2784. https://doi.org/10.29333/ejmste/17910

MLA

Henríquez-Rivas, Carolina et al. "Characterization of teacher profiles in teaching specific geometric topics based on a validated instrument". Eurasia Journal of Mathematics, Science and Technology Education, vol. 22, no. 2, 2026, em2784. https://doi.org/10.29333/ejmste/17910