Errores y dificultades de los futuros maestros de educación primaria al afrontar un problema de modelización asociado a la medida de magnitudes

Referencias

Blomhøj, M. (2004). Mathematical modelling-A theory for practice.En B. Clarke, D. Clarke, G. Emanuelsson, B. Johnansson, D. Lambdin, F. Lester, A. Walby y K.Walby (Edits.), International Perspectives on Learning and Teaching Mathematics. National Center for Mathematics Education, 45-159. National Center for Mathematics Education de la Univesidad de Gothenburg: Suecia. Blum, W. (1996). Anwendungsbezüge im Mathematik-unterricht – Trends und Perspektiven. En Kadunz, G. et al. (Eds.), Trends und Perspektiven. Schriftenreihe Didaktik der Mathematik, 23, Wien: Hölder-Pichler- Tempsky, 15 – 38. Blum, W., & 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(1), 37–68. Blum, W. (2015). Quality teaching of mathematical modelling: what do we know, what can we do? En Cho, S.J. (Ed.). The Proceedings of the 12th International Congress on Mathematical Education (pp. 73-96). Cham: Springer. Borromeo-Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM Mathematics Education, 38(2), 86-95. Borromeo-Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. Springer International Publishing. Cooney, T. J. (1999). Conceptualizing teachers' ways of knowing. Educational Studies in Mathematics, 38(1-3), 163-87. de Nicolás, M. A., Torremorell, M. C. B., & Valls, M. M. P. (2016). Dificultades en conceptos matemáticos básicos de los estudiantes para maestro. Revista INFAD de Psicología. International Journal of Developmental and Educational Psychology., 1(1), 419-430. Doerr, H. M. & Lesh, R. (2003). A modelling perspective on teacher development en R. Lesh and H. M. Doerr (Eds.), Beyond Constructivism: A models & modeling perspective on mathematics problem solving, learning & Teaching. Lawrence Erlbaum: London (Chapter 6). Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht, The Netherlands: Freudenthal Institute. Glaser (1991). The Maturing of the relationship between the science of learning and cognition and educational practice, Learning and Instruction,1, 129-144. Hatano, G. (2003). Foreword. En A.J Baroody, & A. Dowker (ed.) The Development of Arithmetic Concepts and Skills, xi-xiii. Mahwah, NJ: Lawrence Erlbaum Associates. Hill, H. C., Ball, D. L., y Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for research in mathematics education, 39(4), 372–400. Kaiser, G. (1995). Realitätsbezüge im Mathematikunterricht – Ein Überblick über die aktuelle und historische Diskussion. En Graumann, G. et al. (Eds.) Materialien für einen realitätsbezogenen Mathematikunterricht, (pp. 66 – 84) Bad Salzdetfurth: Franzbecker. Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM Mathematics Education, 38(3), 302–310. Knuth, E. J., Stephens, A. C., McNeil, N. M., & Alibali, M. W. (2006). Does understanding the equal sign matter? Evidence from solving equations. Journal for research in Mathematics Education, 37(4), 297-312. Lesh, R. & Doerr, H.M., (2003). Foundations of a models and modeling perspective on mathematics teaching, learning, and problem solving. En R. Lesh & H.M. Doerr (Eds.) Beyond Constructivism: A models & modeling perspective on mathematics problem solving, learning & Teaching (p. 17). Lui, A. M., & Bonner, S. M. (2016). Preservice and inservice teachers' knowledge, beliefs, and instructional planning in primary school mathematics. Teaching and Teacher Education, 56, 1-13. Matthews, P., Rittle-Johnson, B., McEldoon, K., & Taylor, R. (2012). Measure for measure: What combining diverse measures reveals about children's understanding of the equal sign as an indicator of mathematical equality. Journal for Research in Mathematics Education, 43(3), 316-350. Nesher, P. (1980). The stereotyped nature of school word problems. For the Learning of Mathematics, 1(l), 4l -48. Niss, M. (2001). Issues and problems of research on the teaching and learning of applications and modelling. En J.F. Matos, W. Blum, S.K. Houston, & S.P. Carreira (Eds.), Modelling and Mathematics Education. ICTMA 9: Applications in Science and Technology, 72-89. Chichester: Ellis Horwood. Palm, T. (2007). Features and impact of the authenticity of applied mathematical school tasks. En Modelling and applications in mathematics education (pp. 201-208). Springer, Boston, MA. Quaranta, M. & Wolman, S. (2003). Discusiones en las clases de matemática: qué, para qué y cómo se discute. En M, Panizza, (comp), Enseñar matemática en el Nivel Inicial y el primer ciclo de la EGB. Análisis y propuestas. 189-243. Paidós: Buenos Aires. Rico, L. (2007). La competencia matemática en PISA. PNA, 1(2), 47-66. Rushton, S. J. (2018). Teaching and learning mathematics through error analysis. Fields Mathematics Education Journal, 3(1), 1-12. Van Dooren, W., De Bock, D., Hessels, A., Janssens, D., & Verschaffel, L. (2005). Not everything is proportional: Effects of problem type and age on propensities for overgeneralization. Cognition and Instruction, 23(l), 57 -86. Van Dooren, W., De Bock, D., Janssens, D., & Verschaffel, L. (2008). The linear imperative: An inventory and conceptual analysis of students' overuse of linearity. Journal for Research in Mathematics Education, 39(3), 311-342. Verschaffel, L., Greer, B., & De Corte, E. (2000). Making Sense of Word Problems. Lisse, The Netherlands: Swets & Zeitlinger. Verschaffel, L. (2002). Taking the modeling perspective seriously at the elementary level: Promises and pitfalls. En A. D. Cockburn & E. Nardi (Eds.), Proceedings of the 26th PME International Conference (Vol. 1, pp. 64–80). Norwich. United Kingdom: PME. Villarreal, M. E. (2019). Experiencias de modelización en la formación de futuros profesores de matemática. Cuadernos de Investigación y Formación en Educación Matemática, (18), 219-234.