Geodesic
Dynamic Differential Geometry in Education
Journal for geometry and graphics, Tome 13 (2009) no. 2, pp. 241-254 Cet article a éte moissonné depuis la source Heldermann Verlag

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We present an augmented reality application which introduces differential geometry in educational dynamic geometry software. New functionality such as a Frenet frame, center and circle of curvature in arbitrary curve points, and others were implemented. Dynamic geometry allows to study differential geometric properties under movement. Using this tool we developed examples which enable teachers and learners to intuitively explore properties of interesting curves, to visualize contact of higher order between curves and surfaces, to construct Meusnier's sphere, Dupin's indicatrix and more.
Classification : 53A04, 53A05, 68U05
Mots-clés : Differential geometry, dynamic three-dimensional geometry, augmented reality, geometry education 
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     author = {H. Kaufmann },
     title = {Dynamic {Differential} {Geometry} in {Education}},
     journal = {Journal for geometry and graphics},
     pages = {241--254},
     year = {2009},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2009_13_2_JGG_2009_13_2_a9/}
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H. Kaufmann . Dynamic Differential Geometry in Education. Journal for geometry and graphics, Tome 13 (2009) no. 2, pp. 241-254. http://geodesic.mathdoc.fr/item/JGG_2009_13_2_JGG_2009_13_2_a9/