Aprendizaje de conceptos geométricos a través de visualizaciones

Referencias

Acuña, C. & Larios ,V. (2008). Prototypes and learning of geometry. A reflection on its pertinence and its causes. ICME11. Plenary paper, Topic Study Group 20: Visualization in the teaching and learning of mathematics. Extraído el 16 de julio de 2008 desde http://tsg.icme11.org/document/get/193 Battista, M. T. (2007). The development of geometric and spatial thinking. In F. Lester, (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp. 843-908). Charlotte, NC: Information Age Publising. Battista, M. T. (2008). Representations and cognitive objects in modern school geometry. In K. Heid & G. Blume (Eds.), Research on technology in the learning and teaching of mathematics: Syntheses and perspectives. Greenwich, CY: Information Age Publishing Inc. Bishop, A. J. (1989). Review of research on visualization in mathematics education. Focus on Learning Problems in Mathematics, 11 (1), 7-16. Clemens, D.H. & Battista, M.T. (1992) Geometry and spatial reasoning. In D.A. Grows (Edt.) Handbook of Research in Mathematics Teaching and Learning, (pp. 420-464). Macmilian Pubkishing Company, New York. National Council of Teachers of Mathematics. Duval, R. (1999). Semiosis y pensamiento humano: registros semióticos y aprendizajes intelectuales. Cali, (Colombia): Universidad del Valle, Instituto de Educación y Pedagogía, Grupo de Educación Matemática. Fernández, T (2013). La investigación en visualización y razonamiento espacial. Pasado, presente y futuro. En A. Berciano, G. Gutiérrez, N. Climent, A. Estepa (Eds.). Investigación en Educación Matemática XVII. (XVII Simposio de SEIEM), (19-42). Bilbao: Sociedad Española de Investigación en Educación Matemática (SEIEM). Gal, H. & Linchevski, L. (2010). To see or not to see: analyzing difficulties in geometry from the perspective of visual perception. Educational Studies in Mathematics, 74 (2), 163-183.Goldin, G.A. (2007). Representation in School Mathematics A Unifying Research Perspective. In J. Kilpatrick (Ed.), A research companion to principles and standards for school mathematics (pp.275-285). Reston: National Council of Teachers of Mathematics. Hershkowitz, R. (1990). Psychological aspects of learning geometry. In P. Nesher, P. y J. Kilpatrick (Eds), Mathematics and cognition: A research synthesis by the International Group for the psychology of mathematics education (pp. 70-95). Cambridge: Cambridge U.P. Mariotti, A. (2013). Introducing students to geometric theorems: how the teacher can exploit the semiotic potential of a DGS. ZDM Mathematics Education 45, 441-452 Laborde, C. (1993). The computer as part of the learning environment: The case of geometry. In C. Keitel & K. Ruthven (Eds.), Learning from computers: Mathematics education and technology, 121, 48-67. Presmeg, N. C. (1997). Generalization using imagery in mathematics. In L. D. English (Ed.), Mathematical Reasoning: analogies, metaphors and metonymies in mathematics learning (pp. 299-312). Mahwah, NJ: Erlbaum. Presmeg, N. C. (2006). Research on visualization in learning and teaching mathematics. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education: Past, present and future (pp. 205-235). Rotterdam, The Netherlands: Sense Publishers. Sack, J. & Vazquez, I. (2008). Three-dimensional visualization: Children’s non-convencional verbal representations. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano y A.Sepúlpeda, (Eds.), Proceeding of the Joint Meeting 32nd Conference of the international Group for the psychology of Mathematics Education and the North American chapter XXX, 4 (pp. 217-224). Morealia, Michoacán, México: PME. Sinclair, M.P. (2003). The provision of accurate images with dynamic geometry. In N. Pateman, B. J. Dougherty & J. Zillox (Eds.), Proccedings of the 27th PME International Conference, 4, 191-198. Stake, R. E. (2005). Cualitative Cases Studies The sage handbook of Qualitative research. Third edition. Nk Denzin & Y.S. Limcoln Editors. Londres.