La corriente realista de didáctica de la matemática. Experiencias de un grupo de docentes y capacitadores

Referencias

Abreu, G. (2000). “El papel del contexto en la resolución de problemas matemáticos”. En: Gorgorió N, Deulofeu J., Bishop A (coods), Matemática y educación. Retos y cambios desde una perspectiva internacional. ICE, Universidad de Barcelona, Grao, España, 137-150. Anghileri, J. (Ed.) (2001). Principles and practices in arithmetic teaching - innovative approaches for the Primary Classroom. Buckingham: Open University Press. Bakker, A. (2004). Design research in statistics education. On symbolizing and compute tools. Dis-ertation. CD-B Press. Center for Science and Mathematics Education, Freudenthal Institute, Utrecht University. Bonotto, C. (2001). How to connect school mathematics with students’ out of school knowledge. Zentralblatt für Didaktik der Mathematik, 33:75-84. Cooper, B. y Harris T. (2002). Children’s responses to contrasting realistic mathematics problems: just how realistic are children ready to be. Educational Studies in Mathematics 49, 1-23. Collado, M.; Bressan, A. yGallego F. (2003). La matemática realista en el aula: el colectivo y las operaciones de suma y resta. Novedades Educativas, 15, 14-19. Dekker, R. y Elshout-Mohr M. (2004).Teacher interventions aimed at mathematical level-raising during collaborative learning. Educational Studies in Mathematics 56, 39-465. de Lange, J. (1987).Mathematics, insight and meaning. Utrecht University: OW&OC. de Lange, J. (1996).“Real problems with real world mathematics”. En: C. Alsina, J.M. Álvarez, M.Niss, A. Pérez, L. Rico y A. Sfard (Eds.), Actas del 8o Congreso de Educación Matemática, Sevilla, 83-110. de Moor, E. (1991). “Geometry instruction (age 4-14) in The Netherlands: the realistic approach”. En: Streefland, L. (Ed.), Realistic Mathematics Education in Primary School, Utrecht: Freudenthal Institute. Dickson, L.; Brown, M. y Gibson, O. (1991).El aprendizaje de las matemáticas. Barcelona: Labor. Elbers, E. (2003). Classroom interaction as reflection: learning and teaching mathematics in a com-munity of inquiry.Educational Studies in Mathematics 54, 77-99. Freudenthal, H. (1968). Why to teach mathematics so as to be useful. Educational Studies in Math-ematics, 1, 3-8. Freudenthal, H. (1973).Mathematics as an educational task. Dordrecht: Reidel. Freudenthal, H. (1983).Didactical phenomenology of mathematical structures. Dordrecht: Kluwer. Freudenthal, H. (1991).Revisiting mathematics education: China lectures. Dordrecht: Kluwer. Gamoran Serrín, M. (2002). A balancing act: developing a discourse community in a mathematics classroom. Educational Studies in Mathematics 5, 205-233. Goffree, F. (2000). “Principios y paradigmas de una educación matemática realista”. En: N. Gorgorió, J. Deulofeu, A. Bishop, G. de Abreu, N. Balacheff, K. Clements, T. Dreyfus, F. Goffree, P. Hilton, P. Nesher y R. Ruthven (Eds.), Matemática y educación - Retos y cambios desde una perspectiva interna-cional, Barcelona: Graô, 151-168. Gravemeijer, K. (1991). “An instructional-theoretical reflection on the use of manipulatives”. En: L. Streefland (Ed.), Realistic mathematics education in Primary School, Utrecht University: Instituto Freudenthal, 55-75. Gravemeijer, K. (1994).Developing realistic mathematics education. Utrecht University: Instituto Freudenthal.Gravemeijer, K. (1999a). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning 1(2), 155-177. Gravemeijer, K. y Doorman, M. (1999b). Context problems in realistic mathematics education: a calculus course as an example. Educational Studies in Mathematics 39, 111-129. Gravemeijer, K.; Cobb, P.; B J. y Whitenack,J. (2000a). “Symbolizing, modeling, and instructional design”. En P. Cobb, E. Yackel y K. McClain (Eds.), Communicating and symbolizing in mathematics, Mahwah, Nueva Jersey. LEA, 225-273. Gravemeijer, K. y Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Curriculum Studies, 32 (6), 777-796. Greer, B. (1993). The mathematical modeling perspective on wor(l)d problems. Journal of Mathe-matical Behavior, 12, 239-250.Keitel, C. (1997). Matemáticas y realidad en la clase. Revista UNO, 12, 49-66. Lave, J. (1997). “Word problems: a microcosm of theories of learning” En P. Light y G. Butterworth (Eds.), Context and cognition, New York: Harvester Wheatsheaf, 74-92. Middleton, J.; Van Den Heuvel-Panhuizen, M. y Shew J. (1998). Using bar representations as a model for connecting concepts of rational number. Mathematics Teaching in the Middle School, 3 (4), 302-312. Middleton, J. y Van Den Heuvel-Panhuizen, M. (1995). The ratio table. Mathematics Teaching in the Middle School, 1 (4), 282-288. Martínez, M.; Da Valle, N.; Bressan, A. y Zolkower, B. (2002). La relevancia de los contextos en la resolución de problemas de matemática. Paradigma, 22 (1), 59-94. Nesher, P. (1980). The stereotypical nature of school word problems. For the Learning of Mathemat-ics, 1 (1), 41-48. National Center for Research in Mathematical Sciences Education y el Instituto Freudenthal (1998).Mathematics in context: a connected curriculum for Grades 5-8. Chicago: Encyclopædia Britannica. Pérez, S.; Bressan A. y Zolkower B. (2006). Las imágenes y las preguntas en la escuela. Novedades Educativas. 18 (182), 22-26. Puig, L. (1997). Análisis fenomenológico. En L. Rico (Eds.), La educación matemática en la enseñanza secundaria, Barcelona: Síntesis, 61-94. Rabino, A.; Bressan, A. y Zolkower, B. (2001). ¿Por qué en un caso sí y en otro no? Novedades Educativas, 13 (129), 16-20. Sadovsky, P. y Sessa, C. (2005). The adidactical interaction with the procedures of peers in the transition from arithmetic to algebra. Educational Studies in Mathematics 59, 85-112. Streefland, L. (1990). “Free productions in the teaching and learning of mathematics”. En K. Gra-vemeijer, M. van den Heuvel-Panhuizen y L. Streefland (Eds.), Contexts, free productions, tests, and geometry in realistic mathematics education, Utrecht University: OW & OC, 33-52. Streefland, L. (1991a).Fractions in realistic mathematics education: a paradigm of developmental research. Dordrecht: Kluwer, Academic Publishers.Streefland, L. (Ed) (1991b).Realistic mathematics education in primary school. Utrecht University: Instituto Freudenthal. Streefland L. y van Ameron B. (1996). “Didactical phenomenology of equations”. En J. Giménez, R. Campos y B. Gómez (eds): Arithmetics and algebra education: searching for the future. Universidad Rovira I Virgili. Tarragona, 120-131. Treffers, A. (1987).Three dimensions: a model of goal and theory description in mathematics educa-tion. Dordrecht: Kluwer. Treffers, A. (1991). “Didactical background of a mathematics program for primary education”. En L. Streefland (Ed.): Realistic mathematics education in primary school. 66- 80. van Ameron B. (2003). Focusing on informal strategies when linking arithmetic to early algebra. Educational Studies in Mathematics 54, 63-75. van den Brink, J. (1984). Numbers in contextual frameworks. Educational Studies in Mathematics, 15, 239-257. van den Brink, J. (1991). Realistic arithmetic education for young children. En L. Streefland (Ed.), Re-alistic mathematics education in primary school. Utrecht University: Instituto Freudenthal, 244-260. van den Heuvel-Panhuizen, M. (1996). Assessment and realistic mathematics education. Utrecht University: Instituto Freudenthal.van den Heuvel-Panhuizen, M. (Ed.) (2001a).Children learn mathematics. Freudenthal Institute (FI), Utrecht University y National Institute for Curriculum Development, The Netherlands. vanden Heuvel-Panhuizen, M. (2001b). Realistic mathematics education in The Netherlands. En J. Anghileri (Ed.), Principles and practices in arithmetic teaching, Buckingham: Open University Press, 49-64. van den Heuvel-Panhuizen, M. (Ed.) (2003). The didactical use of models in realistic mathemati-cal education: an example from a longitudinal trajectory on percentages. Educational Studies in Mathematics 54, 9-35. van Reeuwijk, M. (1995). The role of realistic situations in developing tools for solving systems of equations. Utrecht University: Instituto Freudenthal (www.fi.uu.nl). van Reeuwijk, M. (1997). “Las matemáticas en la vida cotidiana y la vida cotidiana en las matemáti-cas”. En Monografía: Las matemáticas en el entorno. Rev. Uno de Didáctica de la Matemática. GRAO, 12, 9-16. Verschaffel, L. y De Corte, E. (1997). Teaching realistic mathematical modeling in the elementary school. Journal for Research in Mathematics Education, 28 (5), 577-601. Verschaffel, L.; De Corte, E. y Vierstraete, H. (1999). Upper elementary pupils’ difficulties in modeling and solving non-standard additive word problems involving ordinal numbers. Journal for Research in Mathematics Education 30(3), 265-285. Zack, V. y Graves, B. (2001). Making mathematical meaning through dialogue. Educational Studies in Mathematics 46, 229-271. Zolkower, B. y Shreyar, S. (2002). Interaction and semiotic apprenticeship in a 6th grade mathematics classroom. En: Proceedings of the 20th PANAMA Conference, Holanda, 141-162. Zolkower, B. y Shreyar, S. (2006).A teacher’s mediation of a thinking aloud discussion in a 6th grade mathematics classroom. Aceptado para publicación en Educational Studies in Mathematics.