Abstract
Mathematical modeling provides future professors with a practical comprehension of mathematical concepts, allowing them to apply these notions through activities that connect with other areas of knowledge in order to teach mathematics effectively. The teaching of this discipline should go beyond the memorization of formulas and involve students in solving real-world problems through mathematical models. This paper presents the application of an experiment that incorporates chemistry with the aim of developing modeling skills by applying a methodology focused on experimentation and discovery. The proposal, activities, and elements deployed for its implementation with preservice teachers in the Bachelor’s Degree in Mathematics Education imparted at the University of Colima, Mexico, are detailed. It is important to highlight that mathematical modeling promotes the development of critical thinking and analytical skills in preservice teachers, setting them up for the challenges that may occur in the classroom. The study concludes that integrating mathematical modeling into teacher education programs is essential, as it contributes to the quality of mathematics education at both basic and higher levels. And its effects are more beneficial insofar as strong links are established with other disciplines.
References
Blum, W. (2015). Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do? En S. J. Cho (Ed.), The Proceedings of the 12th International Congress on Mathematical Education (pp. 73-96). Springer.
Blum, W. y Borromeo, R. (2009). Mathematical Modelling: Can It Be Taught And Learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58.
Blum, W. y Leiß, D. (2007). How do Students and Teachers Deal with Modelling Mathematical Problems? En C. Haines, P. Galbraith, W. Blum y S. Khan (Eds.) Mathematical Modelling. Education, Engineering and Economics-ICTMA 12 (pp. 222-231). https://doi.org/10.1533/9780857099419.5.221
Blum, W. y Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects — State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22, 37-68. https://doi.org/10.1007/BF00302716
Blum, W., Galbraith, P. L., Henn, H. W. y Niss, M. (Eds.) (2007). Modelling and Applications. Springer.
Borromeo, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM – Mathematics Education, 38, 86-95. https://doi.org/10.1007/BF02655883
Faulkner, B., Earl, K. y Herman, G. (2019). Mathematical Maturity for Engineering Students. International Journal of Research in Undergraduate Mathematics Education, 5, 97-128. https://doi.org/10.1007/s40753-019-00083-8
Greefrath, G. y Vorhölter, K. (2016). Teaching and Learning Mathematical Modelling: Approaches and Developments from German Speaking Countries. Springer. https://doi.org/10.1007/978-3-319-45004-9_1
Guerrero, L. y Terrones, D. (2003). Repertorio de estrategias pedagógicas. PROMEB-Piura.
Kaiser, G. y Schwarz, B. (2006). Mathematical modelling as bridge between school and university. ZDM – Mathematics Education, 38, 196-208. https://doi.org/10.1007/BF02655889
Kaiser, G. y Stender, P. (2013). Complex Modelling Problems in Co-operative, Self-Directed Learning Environments. En G. Stillman, G. Kaiser, W. Blum y J. Brown (Eds.) Teaching Mathematical Modelling: Connecting to Research and Practice (pp. 277-293). Springer. https://doi.org/10.1007/978-94-007-6540-5_23
Lesh, R. y Doerr, H. M. (Eds.) (2003). Beyond constructivism: models and modeling perspectives on mathematics problem solving, learning, and teaching. Lawrence Erlbaum Associates Publishers.
Maass, K. y Engeln, K. (2018). Impact of professional development involving modelling on teachers and their teaching. ZDM – Mathematics Education, 50, 273-285. https://doi.org/10.1007/s11858-018-0911-y
Pollak, H. (1977). The interaction between mathematics and other school subjects (including integrated courses). En H. Athen y H. Kunle (Eds.), Proceedings of the Third International Congress on Mathematical Education (pp. 255-264).
Pollak, H. (2007). Mathematical Modelling — a Conversation with Henry Pollak. En W. Blum, P. L. Galbraith, H. W. Henn, y M. Niss (Eds.), Modelling and Applications in Mathematics Education (pp. 109-120). Springer.
Santana Ortega, A., Gómez Blancarte, A. L. y López López, O. N. (2018). Experimentación, modelación y simulación matemática en la formación de profesoras de telesecundaria. Congreso Nacional de Investigación sobre Educación Normal. https://es.scribd.com/document/649174665/P042
Universidad de Colima (2015). Licenciatura en Enseñanza de las Matemáticas. Documento curricular. Versión impresa. México.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Copyright (c) 2025 PädiUAQ

