The GSP as a technical and psychological-symbolic tool: The case of a lateral entry teacher

Referencias

Amit, M. and Fried, M. (2005). Authority and authority relations in mathematics education: a view from and 8th grade classroom. Educational Studies in Mathematics, 58, 145-168. Arzarello, F.; Olivero, F.; Paola, D. and Robutti, O. (2002). A cognitive analysis of dragging practices in Cabri environments. Zentralblatt für Didaktik der Mathematik. 34 (3), 66-72. Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht, The Netherlands: Kluwer. Choi-Koh, S. S. (1999). A Student’s learning of geometry using the computer. The Journal of Educational Research. 92 (5), 301-311. Christou, C.; Mousoulides, N.; Pittalis, M. and Pitta-Pantazi, D. (2004). Proofs through exploration in dynamic geometry environments. Proceeding of the 28th Conference of the International Group for the Psychology of Mathematics Education, Bergen-Norway, 2, 215-222. Cobb, P. and Steffe, L. P. (1983). The constructivist researcher as teacher and model builder. Journal for Research in Mathematics Education, 14(2), 83-94. Davis, W. H. (1972). Peirce’s epistemology. The Hague: Martinus Nijhoff. De Villiers, M. (2004). Using dynamic geometry to expand mathematics teachers’ understanding of proof. International Journal of Mathematical Education in Science and Technology, 35 (5), 703-724. Fuys, D.; Geddes, D. and Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents. Monograph No. 3 of the Journal for Research in Mathematics Education. Reston, Virginia: National Council of Teachers of Mathematics. Jiang, Z. (2002). Developing preservice teachers’ mathematical reasoning and proof abilities in the geometer’s sketchpad environment. Proceedings of the Annual Meeting [of the] North American Chapter of the International Group for the Psychology of Mathematics Education. Vol. 2, 717-729. Jones, K. (2000). Providing a foundation for deductive reasoning: students' interpretations when using Dynamic Geometry Software and their evolving mathematical explanations. Educational Studies in Mathematics. 44 (1), 55-85. Kozulin, A. (1990). Vygotsky’s psychology: a biography of ideas. Cambridge, Massachusetts: Harvard University Press. Laborde, C. (1993). The computer as part of the learning environment: the case of geometry. In: C. Keitel and K. Ruthven (Eds.). Learning from computers: Mathematics education and technology. Berlin: Spring Verlag. Leont’ev, A. A. (1970). Social and natural in semiotics. In: J. Morton (Ed.). Biological and social factors in psycholinguistics. Urbana: University of Illinois Press. Mariotti, M. A. (2000). Introduction to proof: the mediation of a Dynamic Software Environment. Educational Studies in Mathematics. 44 (1), 25-53. National Council of Teachers of Mathematics (2000). Principles and standards for school Mathematics: an overview. Reston, Virginia. Sáenz-Ludlow, A. and Athanasopoulou, A. (2008). The GSP as a technical-symbol tool. In: Radford, Schubring and Seeger (Eds.). Semiotics in Mathematics Education, 195-214. Rotterdam: Sense Publishers. Steffe, L. P. (1980). The teaching experiment methodology in a constructivist research program. Paper presented at the Fourth International Congress on Mathematical Education (ICME), Berkeley: California. Skemp, R. R. (1987). The psychology of learning mathematics. New Jersey: Laurence Erlbaum Associates. Wertsch, J. V. (1985). Vygotsky and the social formation of the mind. Cambridge, Massachusetts: Harvard University Press.