Pedagogical design in a case of initial mathematics teacher training
Main Article Content
Keywords
Pedagogical design capacity, Teacher, Mathematics, Resource, Virtual learning object, Initial training
Abstract
A study is presented within the framework of an initial training process for mathematics teachers where the pedagogical design of Virtual Learning Objects (OVA) developed by a group of students from the Mathematics Degree at the Universidad del Valle is characterized. For this purpose, the studies derived from the Didactics Documentary Approach that focus on the Pedagogical Design Capacity were taken as a framework of reference, which includes the skills that a mathematics teacher has to design resources. The research carried out was qualitative and took as a methodological strategy the instrumental study case in which eleven OVA were analyzed. Among the main findings, it was found that the designed OVAs show a dependency when integrating resources already designed. The OVA designs implied that the teachers in training established theoretical references that allow them to determine pedagogical strategies oriented to the formulation of learning objectives, which had a direct relationship with curricular aspects registered in a context that presented a mathematical situation. The OVA design could be a training strategy that would allow teachers in initial training to configure educational resources with learning objectives that take into account curricular aspects, which represent an opportunity to propose contexts where mathematical activity can fit in a different meaning by integrating varied themes.
References
Artigue, M. (2019). Reflecting on a theoretical approach from a networking perspective: the case of the documentational approach to didactics. In L. Trouche, G. Gueudet, & B. Pepin (Eds.), The’ resource’ approach to mathematics education (pp. 89–118). Springe. https://doi.org/https://doi. org/10.1007/978-3-030-20393-1_5
Barbero, I. (2020). Integración de recursos digitales para el aprendizaje de las matemáticas en la formación inicial de maestros. Un estudio cuasi-experimental. TDX (Tesis Doctorals En Xarxa). https://bit. ly/47B1Xta
Brown, M. (2009). The teacher-tool relationship: Theorizing the design and use of curriculum materials. In J. T. Remillard, B. A. Herbel-Eisenmann & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (pp. 17–36). Routledge. https:// doi.org/10.4324/9780203884645
Camargo, L. (2021). Estrategias cualitativas de investigación en educación matemática. Recursos para la captura de información y el análisis (Editorial). https://bit. ly/3Gc9McW
Choppin, J. (2019). Reflections on the documentational approach to didactics. In L. Trouche, G. Gueudet, & B. Pepin (Eds.), The ‘resource’ approach to Mathematics Education (pp. 491–502). Springer. https:// doi.org/10.1007/978-3-030-20393-1_14
Cruz-Rojas, G.-A. (2022). Revisión documental sobre la formación y el conocimiento del profesor de matemáticas. Revista Tecné, Epistem y Didaxis, 2, 175–192. https://doi. org/https://orcid.org/0000-0001-7391-9462
Da Silva, F. y Zeichner, K. (2021). Los desafíos de la formación inicial de profesores de matemáticas como profesionales democráticos. PARADIGMA, 42(e2), 18-39. https://doi.org/10.37618/ paradigma.1011-2251.2021.p18-39.id1029
Davis, E., Beyer, C., Forbes, C., y Stevens, S. (2011). Understanding pedagogical design capacity through teachers’ narratives. Teaching and Teacher Education, 27(4), 797–810.https://doi.org/10.1016/j. tate.2011.01.005
Rocha, K.d.M. Uses of Online Resources and Documentational Trajectories: The Case of Sesamath. In L. Fan, L. Trouche, C. Rezat, Visnovska, (eds) Research on Mathematics Textbooks and Teachers’ Resources. ICME-13 Monographs (pp. 235–258). Springer, Cham. https://doi. org/10.1007/978-3-319-73253-4_11
Faggiano, E., Rocha, H., Sacristan, A., y Santacruz-Rodríguez, M. (2021). Towards pragmatic theories to underpin the design of teacher professional development concerning technology use in school mathematics. In A. ClarkWilson, A. Donevska-Todorova, E. Faggiano, J. Trgalova & H-G. Weigand (Eds.) Mathematics Education in the Digital Age: Learning, Practice and Theory (pp. 42-68). Routledge.https://doi. org/10.4324/9781003137580-4
Gibbs, G. (2012). El análisis de datos cualitativos en Investigación Cualitativa. Ediciones Morata, S.L. https://bit.ly/3sJkbcW
Guacaneme, E., Obando, G., Garzón, D. y VillaOchoa, J. (2013). Informe final sobre la formación inicial y continua de profesores de matemáticas: el caso de Colombia. Cuadernos de Formación e Investigación en Educación Matemática, 11-49. https:// bit.ly/47KnIGY