Abstract
This column will publish short (from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathematics pedagogy. They could also include puzzles or brain-teasers involving the use of computers or computational theory. Snapshots are subject to peer review. This snapshot explores a classic geometry theorem of Archimedes. The author shows how the use of a dynamic geometry environment can deepen and guide the process of proof. The Cabri environment enabled exploration in a new way that connected steps in the proof to geometric properties and intuitions that served as a foundation for deductive reasoning.
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M. Bruckheimer A. Arcavi (2001) ArticleTitleA Herrick among mathematicians or dynamic geometry as an aid to proof International Journal of Computers for Mathematical Learning 6 113–126 Occurrence Handle10.1023/A:1011420625931
P.E. Goldenberg (1998) ArticleTitleAn inefficient route to the Cosine Law International Journal of Computers for Mathematical Learning 3 185–193 Occurrence Handle10.1023/A:1009709803488
Heath, T.L. (1897). The works of Archimedes. Cambridge University Press. http//www.math.ubc.ca/-cass/archimedes/parabola.html.
J.M. Laborde (1990) CABRI Geometry [Software] Brooks-Cole Publishing Co New York
R. Noss C. Hoyles (1996) Windows on Mathematical Meanings: Learning, Culture, and Computers Kluwer Dordrecht
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Computer Math Snapshots Editor: Uri Wilensky , Center for Connected Learning and Computer-Based Modeling Northwestern University, USA E-mail: uri@northwestern.edu
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Baki, A. Archimedes with Cabri: Visualization and Experimental Verification of Mathematical Ideas. Int J Comput Math Learning 10, 259–270 (2005). https://doi.org/10.1007/s10758-005-4339-4
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DOI: https://doi.org/10.1007/s10758-005-4339-4