Dynamic Differential Geometry in Education

نویسنده

  • Hannes Kaufmann
چکیده

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.

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تاریخ انتشار 2009