Designing tools for Analytic Geometry: the Quadrics
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Abstract
New versions of GeoGebra, available from www.geogebra.org, allow to create interactive applications in three dimensions that can be used to illustrate the content that requires a representation in space, in addition to the previous possibilities in 2D. The ease with which objects can be changed using sliders, forcing them to take different positions, allows dynamic observation of what teachers want to show.The surfaces represented by a second degree equation in x, y and z are called quadrics. The most important ones are the ellipsoids, the hyperboloids, elliptic cones and paraboloids. For these surfaces, application indicating the traces in the coordinate planes and in planes parallel to them were prepared. Different selfassessments were also designed.The aim of this work is to describe these apps and briefly discuss the experience of using them. The results of a survey in order to give the students’ opinion on the tools are also presented.
Keywords: Quadrics, GeoGebra, Interactive Apps
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