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Using Dynamic Geometry Software to Add Contrast to Geometric Situations – A Case Study

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Abstract

There is no lack of suggestions concerning how Dynamic Geometry Software (DGS) may support heuristic approaches to problem solving. However, uses of DGS are often limited purely to a verifying role, in the sense that students are expected to vary or confirm empirically at the computer geometric data which are more or less given. By contrast, it seems worthwhile to seek other uses of DGS which go beyond mere confirmation so that the geometric situation is recognised in its particularity. This paper provides a case study that emerged from a project in which DGS formed an integral part of the pedagogical arrangement. The study is intended to show how the contrasting power of DGS might be utilised in a guided discovery setting.

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REFERENCES

  • Bauersfeld, H., Krummheuer, G. and Voigt, J. (1988). Interactional theory of learning and teaching mathematics and related microethnographical studies. In H. G. Steiner and A. Vermandel (Eds), Foundations and Methodology of the Discipline Mathematics Education (pp. 174-188). Antwerp.

  • Becker, J. P. and Shimada, S. (1997). The Open-Ended Approach. A New Proposal for Teaching Mathematics. Reston, VI: National Council of Teachers of Mathematics.

  • De Villiers, M. (1998). An alternative approach to proof in dynamic geometry. In R. Lehrer and D. Chazan (Eds), Designing Learning Environments for Developing Understanding of Geometry and Space (pp. 369-393). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Dörfler, W. (1993). Computer use and views of the mind. In C. Keitel and K. Ruthven (Eds), Learning from Computers: Mathematics Education and Technology (pp. 159-186). Berlin: Springer.

    Google Scholar 

  • Elschenbroich, H.-J. (1997). Tod des Beweisens oder Wiederauferstehung?-Zu Auswirkungen des Computereinsatzes auf die Stellung des Beweisens im Unterricht. In H. Hischer (Hrsg.), Computer and Geometrie. Neue Chancen für den Geometrieunterricht? (pp. 58-66). Hildesheim: Franzbecker.

    Google Scholar 

  • Goldenberg, E. P. (1995). Ruminations about dynamic imagery (and a strong plea for research). In R. Sutherland and J. Mason (Eds), Exploiting Mental Imagery with Computers in Mathematics Education (pp. 202-224). Berlin: Springer.

    Google Scholar 

  • Goldenberg, E. P. and Cuoco, A. (1998). What is dynamic geometry? In R. Lehrer and D. Chazan (Eds), Designing Learning Environments for Developing Understanding of Geometry and Space (pp. 351-367). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Hefendehl-Hebeker, L. (1994). Geistige Ermutigung im Mathematikunterricht. In R. Biehler, H. W. Heymann and B. Winkelmann (Hrsg.), Mathematik Allgemeinbildend Unterrichten. Impulse für Lehrerbildung und Schule (pp. 83-91). Köln: Aulis.

    Google Scholar 

  • Henn, H.-W. (1994). Computereinsatz im Geometrieunterricht. Der Mathematikunterricht 40(1): 5-12.

    Google Scholar 

  • Henn, H.-W. and Jock, W. (1993). Arbeitsbuch CABRI Géomètre. Konstruieren mit dem Computer. Bonn: Dümmler.

    Google Scholar 

  • Hölzl, R. (1999). Qualitative Unterrichtsstudien zur Verwendung Dynamischer Geometrie-Software. Augsburg: Wissner.

    Google Scholar 

  • 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 (pp. 48-67). Berlin: Springer.

    Google Scholar 

  • Noss, R. and Hoyles C. (Eds) (1992). Learning Mathematics and Logo. Cambridge, MA: MIT Press.

    Google Scholar 

  • Noss, R. and Hoyles C. (1996). Windows on Mathematical Meanings. Learning Cultures and Computers. Dordrecht: Kluwer.

    Google Scholar 

  • Schumann, H. and Green, D. (1994). Discovering Geometry with a Computer-Using Cabri-Geometre. Bromley: Chartwell-Bratt.

    Google Scholar 

  • Seyffart, U. (1995). “... das is eine Methode, da habe ich auch 'mal so, 'mal so, ‘mal so drüber gedacht...”-ein Beitrag zu Lehrersichtweisen auf den Einsatz von Computer-Konstruktionswerkzeugen im Geometrieunterricht. Journal für Mathematik-Didaktik 16(3/4): 233-262.

    Google Scholar 

  • Sträßer, R. (1991). Dessin et Figure. Bielefeld: IDM, Universität Bielefeld (Occasional Paper 128).

    Google Scholar 

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  1. Kantonsschule Hochdorf, 6280, Hochdorf, Switzerland

    Reinhard Hölzl

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  1. Reinhard Hölzl
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Hölzl, R. Using Dynamic Geometry Software to Add Contrast to Geometric Situations – A Case Study. International Journal of Computers for Mathematical Learning 6, 63–86 (2001). https://doi.org/10.1023/A:1011464425023

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