Translation of phyisical language into mathematical lenguaje in secondary education: Diagnostic results to support problem-based learning
Keywords:
Mathematical language, Problem-based learning, Physics teaching, Scientific modeling, Secondary educationAbstract
Physics teaching in secondary education presents persistent difficulties in students’ conceptual understanding of phenomena and in transcription of physical language into mathematical language, leading to fragmented learning and the mechanical use of formulas. This study analyzes the relevance of Problem-Based Learning (PBL) as a didactic strategy for strengthening scientific modeling and the mathematical representation of physical phenomena. A primarily quantitative study with a quasi-experimental design and non-equivalent groups was conducted, complemented by a qualitative interpretive analysis of open-ended responses. As an initial phase, a diagnostic pretest was applied to assess conceptual understanding, identification of variables, and mathematical formalization. Since the intervention is still in the implementation phase, the article presents preliminary data derived from the diagnostic stage. The evidence obtained reveals low levels of performance, particularly in conceptual understanding and model construction.
References
Barrows, H. S. (1986). A taxonomy of problem-based learning methods. Medical Education, 20(6), 481–486. https://doi.org/10.1111/j.1365-2923.1986.tb01386.x
Duit, R., & Treagust, D. F. (2003). Conceptual change: A powerful framework for improving science teaching and learning. International Journal of Science Education, 25(6), 671–688. https://doi.org/10.1080/09500690305016
Furci, V., & Adúriz-Bravo, A. (2024). Model-Based Science Education. En M. A. Peters (Ed.), Springer International Handbooks of Education (pp. 1–15). Springer. https://doi.org/10.1007/978-3-030-37743-4_34-1
Greca, I. M., & Moreira, M. A. (1998). Modelos mentales y aprendizaje de física en electricidad y magnetismo. Enseñanza de las Ciencias, 16(2), 289–304. https://doi.org/10.5565/rev/ensciencias.4132
Hestenes, D. (1987). Toward a modeling theory of physics instruction. American Journal of Physics, 55(5), 440–454. https://doi.org/10.1119/1.15129
Julca-Asto, M. J. M., Durán-Llaro, K. L., Álvarez-Medina, G. M., & Donato-Palacios, M. (2023). El aprendizaje basado en problemas para la enseñanza de las ciencias. Revista Arbitrada Interdisciplinaria Koinonía, 8(Supl. 2), 390-408. https://doi.org/10.35381/r.k.v8i2.2882
Morales, P., & Landa, V. (2004). Aprendizaje basado en problemas. Theoria, 13(1), 145–157. https://www.redalyc.org/articulo.oa?id=29901314
Núñez, A., Pérez, L., & Gómez, R. (2022). Mathematical modeling and conceptual understanding in secondary physics education. International Journal of Science Education, 44(8), 1254–1271. https://doi.org/10.1080/09500693.2022.2045178
Organisation for Economic Co-operation and Development. (2023). PISA 2022 results (Vols. I & II): The state of learning and equity in education – Country note: Mexico. OECD Publishing. https://www.oecd.org/en/publications/pisa-2022-results-volume-i-and-ii-country-notes_ed6fbcc5-en/mexico_519eaf88-en.html
Palmgren, E., Kokkonen, T., & Bruun, J. (2025). Roles of mathematics in physics education: A systematic review. Physical Review Physics Education Research, 21(2), 020602. https://doi.org/10.1103/wwww-gwp8
Pozo Municio, J. I., & Gómez Crespo, M. A. (1998). Aprender y enseñar ciencia: Del conocimiento cotidiano al conocimiento científico. Ediciones Morata.
Raynaudo, G., & Peralta, O. (2017). Cambio conceptual: Una mirada desde las teorías de Piaget y Vygotsky. Revista de Investigación en Psicología, 20(1), 173–189. https://doi.org/10.15381/rinvp.v20i1.13528
Romero-Castañeda, K. C., & Córdova-Martínez, J. A. (2025). Modelación Computacional y Experimentos Virtuales para Fortalecer el Pensamiento Científico en la Enseñanza de la Física. Revista Científica Multidisciplinaria Tsafiki, 2(2), 585-607. https://doi.org/10.70577/y0zyby20
Savery, J. R. (2006). Overview of problem-based learning: Definitions and distinctions. Interdisciplinary Journal of Problem-Based Learning, 1(1), 9–20. https://doi.org/10.7771/1541-5015.1002
Secretaría de Educación Pública. (2022). Plan de estudio para la educación preescolar, primaria y secundaria 2022. https://educacionbasica.sep.gob.mx/wp-content/uploads/2024/06/plan-de-estudio-isbn-electronico.pdf
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