Abstract
We consider the teaching of Euclidean and non-Euclidean geometries to students enrolled in a university program in Mathematics Education. We point out several problems encountered by students during this teaching which provide information about student’s knowledge in geometry. We then propose a partial solution to these problems by using the CABRI-Géomètre software to illustrate several properties of hyperbolic geometry. Finally, we discuss the interest of this type hyperbolic geometry software and we propose desirable features for such a software.
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References
Baulac Y., Bellemain F. et Laborde J.-M. (1988). CABRI-Géomètre, un cahier de brouillon informatique pour Pappren tissage de la geometrie, Manuel de l’utilisateur, Les Editions Nathan. (In the USA Brooks/Cole, in Germany Comet, in Italy Loescher Editor)
Programme d’études, secondaire, mathématique, second cycleDirection générale du développement pédagogique, Direction de la formation générale, Ministère de l’éducation du Quebec, 1984.
M. J. Greenberg, (1980). Euclidean and Non-Euclidean Geometries, development and history. W. H. Freeman, San Francisco.
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© 1996 Springer-Verlag Berlin Heidelberg
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Thibault, MF., La Barre, R. (1996). Some Hyperbolic Geometry with CABRI-Géomètre. In: Laborde, JM. (eds) Intelligent Learning Environments: The Case of Geometry. NATO ASI Series, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60927-5_13
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DOI: https://doi.org/10.1007/978-3-642-60927-5_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64608-9
Online ISBN: 978-3-642-60927-5
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