La influencia de las características diagramáticas de los dibujos de los estudiantes en la matematización para la resolución de problemas geométricos

Referencias

Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52, 215–241. https://doi.org/ED419696 Blum, W. (2014). Mathematical Modeling: How Can Students Learn to Model? Conference on Mathematical Modeling, 54–61. 84 Educación MatEMática, vol. 35, núM. 1, abril dE 2023La influencia de las características diagramáticas de los dibujos de los estudiantes ... Boaler, J. (2916). Mathematical Mindsets. Josey-Bass. Borromeo Ferri, R. (2006). Theorical and empirical differentiations of phases in the modeling process. ZDM - International Journal on Mathematics Education, 38(2), 86–95. Borromeo Ferri, R. (2015). Learning and teaching of Mathematical Modeling chances and challenges for a broad Mathematics Education in school. En L. A. Hernández, J. A. Juárez, y J. Slisko (Eds.), Tendencias en la educación matemática basada en la investigación (pp. 39–52). Benemerita Universidad Autónoma de Puebla. Brousseau, G. (1988). Le contrat didactique: le milieu. Recherches en didactique des Mathématiques, 9(3), 309–336. Clements, D. H., y Battista, M. (1992). Geometry and spatial reasoning. En D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420–464). Macmillan. Cuoco, A. A., y Curcio, F. R. (2001). The roles of representation in School Mathematics (A. A. Cuoco y F. R. Curcio (eds.)). National Council of Teachers of Mathematics. D’Amore, B. (2011). Didáctica de la Matemática. Magisterio. Deliyianni, E., Monoyiou, A., Elia, I., Georgiou, C., y Zannettou, E. (2009). Pupils’ visual representations in standard and problematic problem solving in mathematics: their role in the breach of the didactical contract. European Early Childhood Education Research Journal, 17(1), 95–110. https://doi.org/10.1080/13502930802689079 Dewolf, T., Van Dooren, W., Ev Cimen, E., y Verschaffel, L. (2014). The impact of illustrations and warnings on solving mathematical word problems realistically. Journal of Experimental Education, 82(1), 103–120. https://doi.org/10.1080/00220973.2012.745468 Duval, R. (2006). A Cognitive Analysis of Problems of Comprehension in a Learning of Mathematics. Educational Studies in Mathematics, 61(103–2), 103–131. Galbraith, P. L., y Stillman, G. A. (2006). A framework for identifying student blockages during transitions in the modelling process. ZDM - International Journal on Mathematics Education, 38(2), 143–162. https://doi.org/10.1007/BF02655886 Hegarty, M., y Kozhevnikov, M. (1999). Types of visual-spatial representations and mathematical problem solving. Journal of Educational Psychology, 91(4), 684–689. https:// doi.org/10.1037/0022-0663.91.4.684 Hochpöchler, U., Schnotz, W., Rasch, T., Ullrich, M., Horz, H., McElvany, N., y Baumert, J. (2013). Dynamics of mental model construction from text and graphics. European Journal of Psychology of Education, 28(4), 1105-1126. https://doi.org/10.1007/s10212-012-0156-z Juárez, J. A., Slisko, J., y Hernández, L. A. (2014). La construcción del modelo situacional de un problema matemático: El análisis basado en el marco del Experimentador inmerso. Números, 87, 165–173. 85 Educación MatEMática, vol. 35, núM. 1, abril dE 2023 Manuel Ponce de León Palacios, José Antonio Juárez López Kamii, C., Kirkland, L., y Lewis, B. A. (2001). Representation and abstraction in young children’s numerical reasoning. En A. A. Cuoco y F. R. Curcio (Eds.), The roles of representation in School Mathematics (pp. 24–34). NCTM. Leiss, D., Schukajlow, S., Blum, W., Messner, R., y Pekrun, R. (2010). The Role of the Situation Model in Mathematical Modelling—Task Analyses, Student Competencies, and Teacher Interventions. Journal für Mathematik-Didaktik, 31, 119–141. Maaß, K. (2006). What are modelling competencies? ZDM - International Journal on Mathematics Education, 38(2), 113–142. https://doi.org/10.1007/BF02655885 Ott, B. (2016). Textaufgaben grafisch darstellen. Entwicklung eines Analyse- instruments und Evaluation einer Interventionsmaßnahme. Waxmann. Ott, B. (2017). Children's drawings for word problems – design of a theory and an analysis tool. En T. Dooley y G. Gueudet (Eds.), Proceedings of the Tenth Congress of European Research in Mathematics Education. Polya, G. (1965). Cómo plantear y resolver problemas. Trillas. https://doaj.org/article/33627bd287174c2c9cba12eaca324ee2 Rellensmann, J., Schukajlow, S., y Leopold, C. (2016). Make a drawing. Effects of strategic knowledge, drawing accuracy, and type of drawing on students’ mathematical modelling performance. Educational Studies in Mathematics, 95(1), 53–78. https://doi. org/10.1007/s10649-016-9736-1 Rellensmann, J., Schukajlow, S., y Leopold, C. (2019). Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems. ZDM - International Journal on Mathematics Education, August. https://doi.org/10.1007/ s11858-019-01085-1 Schnotz, W. (2002). Towards an integrated view of learning from text and visual displays. Educational psychology review, 14(1), 101–120. https://doi.org/10.1023/A:1013136727916 Schnotz, W. (2014). Visuelle kognitive Werkzeuge beim Mathematikverstehen. En J. Roth y J. Ames (Eds.), Beiträge zum Mathematikunterricht. Vorträge auf der 48. Tagung für Didaktik der Mathematik (pp. 45–52). WTM.