Abstract
This case study focuses on how a high school student, Laura, learned the meaning of the velocity sign. By moving a toy car she created many real-time graphs on a computer screen. The study strives to show that her learning was not just an acknowledgment of a rule, but a broad questioning and revision of her thinking about graphs and motion. Laura’s process exemplifies what is involved in the learning of a way of symbolizing situations of physical change.
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References
Bakhtin, M.M. (1981) The dialogic imagination: four essays. Austin: University of Texas Press.
Bakhtin, M.M. (1986) Speech genres and other late essays. Austin: University of Texas Press.
Brown, J.S. & Burton, R.B. (1978) Diagnostic models for procedural bugs in basic mathematical skills. Cognitive Science, 2, 155–192.
Cajori, F. (1929) A history of mathematical notations. Chicago: The Open Court.
Carraher, T.N., Schliemann, A.D. & Carraher, D.W. (1988) Mathematical concepts in everyday life. In G.B. Saxe & M. Gearhart (Eds.), Children mathematics (pp. 71–88). San Francisco: Jossey Bass.
Confrey, J. (1988) The concept of exponential functions. A student’s perspective. Paper presented at the conference Epistemological Foundations of Mathematical Experience, University of Georgia.
diSessa, A.A., Hammer, D., Sherin, B. & Kolpakowski, T. (1991) Inventing graphing: Meta- representational expertise in children. Journal of Mathematical Behavior. 10,2,117–160.
Geertz, C. (1983) Local Knowledge. New York: Basic Books.
Lave, J. (1988) Cognition in practice: Mind, mathematics, and culture in everyday life. New York: Cambridge University Press.
Lynch, M. & Woolgar, S. (Eds.) (1990) Representation in scientific practice. Cambridge, MA: The M.I.T. Press.
Matz, M. (1982) Toward a process model for high school algebra errors. In D. Sleeman & J. S. Brown (Eds.), Intelligent tutoring systems. New York: Academic Press.
Meira, L. (1992) The microevolution of mathematical representations in children’s activity. In W. Geeslin & K Graham (Eds.), Proceedings of the 16th annual meeting of the International Group for the Psychology of Mathematics Education, 2, 96–104.
Nemirovsky, R., Tiemey, C. & Ogonowski, M. (1993) Children, additive change, and calculus. TERC Working Paper Series, 2–93.
Pimm, D. (1987) Speaking mathematically: Communication in mathematics classrooms. London: Routledge Co.
Saxe, G.B. (1982) Developing forms of arithmetic operations among the Oksapmin of Papua New Guinea. Developmental Psychology, 18,4, 83–594.
Tierney, C. & Nemirovsky, R. (1991) Young children’s spontaneous representations of changes in population and speed. In R.G Underhill (Ed.), Proceedings of the 13th Annual Meeting, North American Chapter of the International Group for the Psychology of Mathematics Education
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© 1996 Springer-Verlag Berlin Heidelberg
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Nemirovsky, R. (1996). On Ways of Symbolizing: The Case of Laura and the Velocity Sign. In: Tinker, R.F. (eds) Microcomputer–Based Labs: Educational Research and Standards. NATO ASI Series, vol 156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61189-6_10
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DOI: https://doi.org/10.1007/978-3-642-61189-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61558-3
Online ISBN: 978-3-642-61189-6
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