The Role Played by Extra-mathematical Connections in the Modelling Process

Abassian, A., Safi, F., Bush, S., & Bostic, J. (2020). Five different perspectives on math-ematical modeling in mathematics education. Investigations in Mathematics Learning, 12(1), 53-65. https://doi.org/10.1080/19477503.2019.1595360 Blum, W. (2002). ICMI Study 14: Applications and modelling in mathematics educa-tion - Discussion document. Educational Studies in Mathematics, 51(1-2), 149-171. https://doi.org/10.1023/a:1022435827400 Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. Zentralblatt für Didaktik der Mathematik, 38(2), 86-95. https://doi.org/10.1007/bf02655883 Borromeo Ferri, R. (2018). Learning How to Teach Mathematical Modeling in School and Teacher Education. Springer. https://doi.org/10.1007/978-3-319-68072-9 Breda, A., Hummes, V., da Silva, R. S., & Sánchez, A. (2021). El papel de la fase de ob-servación de la implementación en la metodología Estudio de Clases. BOLEMA: Boletim de Educação Matemática, 35(69), 263-288. https://doi.org/10.1590/1980-4415v35n69a13 Businskas, A. M. (2008). Conversations about connections: How secondary mathematics teachers conceptualize and contend with mathematical connections [Unpublished Doctoral dissertation] Simon Fraser University. LAC’s Library Catalogue. https://bac-lac.on.worldcat.org/oclc/755208445 Dolores-Flores, C., & García-García, J. (2017). Conexiones intramatemáticas y extra-matemáticas que se producen al resolver problemas de cálculo en contexto: Un estudio de casos en el nivel superior. BOLEMA: Boletim de Educação Matemática, 31(57), 158-180. https://doi.org/10.1590/1980-4415v31n57a08 Eli, J. A., Mohr-Schroeder, M. J., & Lee, C. W. (2011). Exploring mathematical connec-tions of prospective middle-grades teachers through card-sorting tasks. Mathe-matics Education Research Journal, 23(3), 297-319. https://doi.org/10.1007/s13394-011-0017-0 Evitts, T. A. (2004). Investigating the mathematical connections that preservice teachers use and develop while solving problems from reform curricula (Publication No. 3157533) [Unpublished doctoral dissertation] The Pennsylvania State University. ProQuest Dissertations and Theses Global. Font, V., & Contreras, Á. (2008). The problem of the particular and its relation to the general in mathematics education. Educational Studies in Mathematics, 69(1), 33-52. https://doi.org/10.1007/s10649-008-9123-7 Font, V., Godino, J. D., & Gallardo, J. (2013). The emergence of objects from mathemat-ical practices. Educational Studies in Mathematics, 82(1), 97-124. https://doi.org/10.1007/s10649-012-9411-0 García-García, J., & Dolores-Flores, C. (2021a). Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative func-tions. Mathematics Education Research Journal, 33(1), 1-22. https://doi.org/10.1007/s13394-019-00286-x García-García, J., & Dolores-Flores, C. (2021b). Exploring pre-university students’ mathematical connections when solving Calculus application problems. Interna-tional Journal of Mathematical Education in Science and Technology, 52(6), 912-936. https://doi.org/10.1080/0020739X.2020.1729429 Kaiser, G. (2020). Mathematical modelling and applications in education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (2nd ed.) (pp. 553-561). Springer. https://doi.org/10.1007/978-3-030-15789-0_101 Ledezma, C., Font, V., & Sala, G. (2023). Analysing the mathematical activity in a mod-elling process from the cognitive and onto-semiotic perspectives. Mathematics Education Research Journal, 35(4), 715-741. https://doi.org/10.1007/s13394-022-00411-3 Preciado, A. P., Peña, F., Ortiz, Y. A., & Solares, A. (2023). Diversity of perspectives on mathematical modelling: A review of the international landscape. In G. Greefrath, S. Carreira, & G. A. Stillman (Eds.), Advancing and Consolidating Math-ematical Modelling: Research from ICME-14 (pp. 43-57). Springer. https://doi.org/10.1007/978-3-031-27115-1_3 Rodríguez-Nieto, C., Rodríguez-Vásquez, F., & Font, V. (2022). A new view about con-nections: The mathematical connections established by a teacher when teaching the derivative. International Journal of Mathematical Education in Science and Technology, 53(6), 1231-1256. https://doi.org/10.1080/0020739X.2020.1799254 Rodríguez-Nieto, C. A., Rodríguez-Vásquez, F. M., & Font, V. (2023). Combined use of the extended theory of connections and the onto-semiotic approach to analyze mathematical connections by relating the graphs of f and f’. Educational Studies in Mathematics, 114(1), 63-88. https://doi.org/10.1007/s10649-023-10246-9