Models and modeling didactical perspective

Keywords: Didactics, models and modeling, instructional task, mathematics

Abstract

In this article we describe the models and modeling didactical perspective, as well as its ontological, epistemological and didactical basis. This approach is also employed as a framework to support research in mathematics education. It was proposed and developed by the American mathematician and mathematics educator Richard Lesh. In this perspective, instructional tasks are called model eliciting activities, and their purpose is to generate students learning of new mathematical content, by making sense of contextualized problematic situations, through the construction of mathematical models. Additionally, the principles for the design of the tasks are presented, as well as the characteristics of the instructional scenario proposed by this didactical approach.

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References

Aliprantis, C. D., Carmona, G., (2003). Introduction to an economic problem. In: Lesh, R., Doerr, H., (Eds.), Beyond constructivism: models and modeling perspectives on mathematics problem solving, learning and teaching. Lawrence Erlbaum, Mahwah, pp. 255–264.

Álvarez-Valdés, M. V. G., (1985). El problema de la relación entre teoría y práctica en educación según el pensamiento alemán contemporáneo: consecuencias para la orientación educativa. Revista Española de Pedagogía, 43(167), 17–35.

Arce-Sánchez, M., Conejo-Garrote, L., Muñoz-Escolano, J. M., (2019). Aprendizaje y enseñanza de las matemáticas. Síntesis, Madrid.

Brady, C., (2018). Modelling and the representational imagination. ZDM Mathematics Education, 50(1–2), 45–59.

Cuevas, R., Feliciano, A., Miranda, A., Catalán, A., (2015). Corrientes teóricas sobre aprendizaje combinado en la educación. Revista Iberoamericana de Ciencias, 2(1), 75–84.

Diefes-Dux, H. A., Wan Salim, W. W. A., (2012). Transforming the first-year engineering experience through authentic problem-solving: taking a models and modeling perspective. Procedia - Social and Behavioral Sciences, 56, 314–332.

English, L. D., Ärlebäck, J. B., Mousoulides, N., (2016). Reflections on Progress in Mathematical Modelling Research. In: Gutiérrez, A., Leder, G. C. (Eds.), The second handbook of research on the psychology of mathematics education. Brill, Leiden, pp. 383–413.

Hestenes, D., (2013). Modeling theory for math and science education. In: Lesh, R., Galbraith, P. L., Haines, C. R., Hurford, A. (Eds.), Modeling students’ mathematical modeling competencies. Springer, Dordrecht, pp. 13–42.

Hjalmarson, M. A., Lesh, R., (2008). Engineering and design research: Intersections for education research and design. In: Kelly, A. E., Lesh, R. A., Baec, J. Y., (Eds.), Handbook of design research methods in education: Innovations in science, technology, engineering, and mathematics learning and teaching. Routledge, New York, pp. 96–110.

Lesh, R., Doerr, H., (2003). Beyond constructivism: models and modeling perspectives on mathematics problem solving, learning and teaching. Lawrence Erlbaum, Mahwah.

Lesh, R., Lehrer., R., (2003). Models and modeling perspectives on the development of students and teachers. Mathematical Thinking and Learning 5 (2–3), 109–129.

Lesh, R., Zawojewski, J. S., (2007). Problem solving and modeling. In: Lester, F. K. Jr. (Ed.), The second handbook of research on mathematics teaching and learning. Information Age Publishing, Charlotte, pp. 763–804.

Lesh, R., Fennewald, T., (2013). Introduction to part I modeling: What Is It? Why Do It? In: Lesh, R., Galbraith, P. L., Haines, C. R., Hurford, A. (Eds.), Modeling students’ mathematical modeling competencies. Springer, Dordrecht, pp. 5–12.

Vargas, V., Montero, L., (2023). Recomendaciones para promover la modelación en el aula: cerrando la brecha entre investigación y práctica. In: Castañeda, A. (Ed.), Aportes y recursos para la innovación en educación matemática. SOMIDEM, México, pp. 69–95.

Vargas, V., Reyes, A., Cristobal, C., (2018). La deforestación como consecuencia del incremento de áreas de cultivo: actividad provocadora de modelos. Épsilon – Revista de Educación Matemática, 99, 7-28.

Published
2024-04-02
How to Cite
Islas-Arias, Y. L., Espinosa-Ramírez, E., & Reyes-Rodríguez, A. V. (2024). Models and modeling didactical perspective. Pädi Boletín Científico De Ciencias Básicas E Ingenierías Del ICBI, 12(24). Retrieved from https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/12104