How does 'dragging' affect the learning of geometry

International Journal of Computers for Mathematical Learning

Volumn 1, Issue 2, 1996, Pages 169-187

  Hölzl, Reinhard ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001348741     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00571077     Document Type: Article

References (28)

1. Balacheff, N. (1993). Artificial intelligence and real teaching. In C. Keitel and K. Ruthven (Eds.), Learning from Computers: Mathematics Education and Technology (pp. 131-158). Berlin: Springer.
2. Balacheff, N. and Sutherland, R. (1994). Epistemological domain of validity of microworlds. The Case of Logo and Cabri-géomètre. Paper to IFIP, Netherlands.
3. 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 University, Antwerp.
4. Baulac, Y., Bellemain, F. and Laborde, J.-M. (1990). Cabri-géomètre. Berlin: Cornelsen.
5. Bellemain, F. and Laborde, J.-M. (1994). Cabri II. An interactive Geometry notebook. Texas Instruments.
6. 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.
7. 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.
8. Goldenberg, E. P. and Cuoco, A. (in press). What is dynamic geometry? In R. Lehrer and D. Chazan (Eds.), Designing Learning Environments for Developing Understanding of Geometry and Space. Hillsdale, N.J.: LEA publishers.
9. Holland, G. (1993). GEOLOG. Geometrische Konstruktionen mit dem Computer. Bonn: Dümmler.
10. Hölzl, R. (1994). Im Zugmodus der Cabri-Geometrie. Interaktionsstudien und Analysen van Mathematiklernen mit dem Computer. Weinheim: Deutscher Studien Verlag.
11. Hölzl, R. (1995). Between drawing and figure. In R. Sutherland and J. Mason (Eds.), Exploiting Mental Imagery with Computers in Mathematics Education (pp. 117-124). Berlin: Springer.
12. Hoyles, C. and Noss, R. (1992). Looking back und looking forward. In C. Hoyles and R. Noss (Eds.), Learning Mathematics and Logo (pp. 431-468). Cambridge, MA: MIT Press.
13. Hoyles, C. (1992). Computer-based microworlds: a radical vision or a Trojan mouse? Paper to ICME 7, Quebec, Canada.
14. Hoyles, C. (1993). Microworlds/Schoolworlds: The transformation of an innovation. In C. Keitel and K. Ruthven (Eds.), Learning from Computers: Mathematics Education and Technology (pp. 1-17). Berlin: Springer.
15. Jackiw, N. (1992). The Geometer's Sketchpad. Berkely: Key Curriculum Press.
16. Kadunz, G. and Kautschitsch, H. (1994). Thales: Experimentelle Geometrie mit dem Computer. Klett: Stuttgart.
17. 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.
18. Maier, H. and Voigt, J. (Eds.) (1991). Interpretative Unterrichtsforschung. Untersuchungen zum Mathematikunterricht Bd. 17 IDM, Köln: Aulis.
19. Mechling, R. (1994). Euklid. Internet http//:wmax02.mathematik.uni-wuerzburg.de:80/ ̃weth/programme/Euklid.zip.
20. Neubrand, M. (1995). Multiperspectivity as a Program: On the Development of Geometry Teaching in the Past 20 Years in Austria and (West-) Germany. Paper to the ICMI-Study: Perspectives on the Teaching of Geometry for the 21st Century, Catania, Italy.
21. Noss, R., Hoyles, C., Healy, L. and Hölzl, R. (1994). Constructing meanings for constructing: An exploratory study with Cabri Géomètre. In: Proceedings of PME 15, Vol. 3, Lisboa: University of Lisboa, pp. 360-367.
22. Pea, R. D. (1985). Beyond amplification: Using the computer to reorganize mental functioning. In: Educational Psychologist 20(4): S. 167-182.
23. Pea, R. D. (1987). Cognitive technologies for mathematics education. In A. Schoenfeld (Ed.), Cognitive Science and Mathematical Education (pp. 89-112). Hillsdale, N.J.: LEA publishers, S.
24. Polya, G. (1973). How to solve it: a new aspect of mathematical method, 2 ed, Princeton, N.J.: Princeton University Press.
25. Strässer, R. (Ed.) (1991a). Intelligente Tutorielle Systeme für das Lernen von Geometrie. Bielefeld: IDM, Universität Bielefeld (Occasional Paper 124).
26. Strässer, R. (1991b). Dessin et Figure. Bielefeld: IDM, Universität Bielefeld (Occasional Paper 128).
27. Strässer, R. (1992). Sudents' constructions and proofs in a computer environment. Bielefeld: IDM, Universität Bielefeld (Occasional Paper 134).
28. Yerushalmi and Schwartz (1993): The Geometric superSupposer: A laboratory for mathematical exploration, conjecture and invention. Pleasantville, N.Y.: Sunburst Communications.