Abstract
In this paper, we seek to establish insight into varieties of modeling that occur, recurrently, in students’, teachers’, and curriculum developers’ experiences with The Geometer’s Sketchpad. In this process, we contrast the conventional and practical sense of mathematical modeling – modeling of situations and phenomena to generate and predict plausible outcomes – to at least two other available forms or types of modeling practice that we find especially relevant to mathematics education.
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References
Edwards, L. (1995). Microworlds as representations. In A. A. diSessa, C. Hoyles, and R. Noss (Eds.), Computers and Exploratory Learning (pp. 127–154). Berlin/Heidelberg: Springer-Verlag.
Hawkins, A., and Sinclair, N. (2007). Dynamic topology: Explorations in topology with Sketchpad. Submitted to The International Journal of Computers in Mathematics Learning, 13(1), 71–82.
Hoyles, C, Adamson, R., and Noss, R. (2002). Rethinking the Microworld Idea. Journal of Educational Computing Research, 27(1&2), 29–53.
Jackiw, N. (1991, 2001). The Geometer’s Sketchpad. Emeryville, CA: Key Curriculum Press.
Jackiw, N. and Finzer, W. (1993) The Geometer’s Sketchpad: Programming by Geometry. In A. Cypher (Ed.), Watch What I Do: Programming by Demonstration (pp. 293–308). Cambridge, MA: The MIT Press.
Jackiw, N. (1997) Drawing worlds: Scripted exploration environments in The Geometer’s Sketchpad. In: J. R. King and D. Schattschneider (Eds.), Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research (pp. 179–184). Washington, DC: The Mathematical Association of America.
Laborde, C. (1998). Factors of integration of dynamic geometry software in the teaching of mathematics. Paper presented at the Technology and NCTM Standards 2000 conference in Arlington, Virginia. [Available on-line: http://mathforum.org/technology/papers/papers/laborde/laborde.html]
Lappan, G., Fey, J., Fitzgerald, W., Friel, S., and Phillips, E. (2004). Stretching and Shrinking. Pearson Prentice Hall.
Lesh, R., and Doerr, H (Eds.) (2003). Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning and Teaching. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
Meyerhoff, R. (1992). Geometric Invariants for 3-Manifolds. The Mathematical Intelligencer, 14(1), 37–53.
Papert, S. (1991). Situating Constructionism. In I. Harel, and S. Papert (Eds.), Constructionism (pp. 1–12). Westport, CT: Ablex Publishing Corporation.
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Sinclair, N., Jackiw, N. (2010). Modeling Practices with The Geometer’s Sketchpad. In: Lesh, R., Galbraith, P., Haines, C., Hurford, A. (eds) Modeling Students' Mathematical Modeling Competencies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0561-1_47
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DOI: https://doi.org/10.1007/978-1-4419-0561-1_47
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