Mathematical competencies of prospective teachers when teaching confidence intervals in a microteaching context
Exequiel Aníbal Llanos-Lagos 1 2 * , Luis Roberto Pino-Fan 3 , Jesús Guadalupe Lugo-Armenta 3 , Yocelyn Elizabeth Parra-Urrea 2 * , Jorge Luis Zapata Hernández 2 * , Rosa Ester Umanzor Núñez 2
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1 Universidad de Los Lagos, Osorno, Los Lagos, CHILE2 Universidad San Sebastián, Concepción, Biobío, CHILE3 Universidad de Sonora, Hermosillo, MEXICO* Corresponding Author

Abstract

Pre-service teacher training in inferential statistics stands out as a priority topic in mathematics education research, with an emphasis on didactic and disciplinary competencies. This qualitative and interpretive study aims to characterize the mathematical knowledge and competence of pre-service teachers when they undertake instructional processes on the confidence interval. The methodology included a cycle composed of an initial video-recorded microteaching intervention, a reflection process, and a re-implementation. For the analysis, we used the didactic-mathematical knowledge and competencies model and the didactic suitability criteria as a theoretical and methodological tool. The results reveal that when teachers reflect on their practice and re-implement their teaching, they significantly improve their mathematical competencies (task-solving, problems linked to the content they teach, and anticipating their students’ expected responses). This reflective process proves to be fundamental for developing pedagogical skills in teaching inferential statistics.

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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 9, September 2025, Article No: em2701

https://doi.org/10.29333/ejmste/16845

Publication date: 02 Sep 2025

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