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Using Images in GeoGebra for Teaching Mathematics Andreas Lindner Austrian GeoGebra Institute

Using Images in GeoGebra for Teaching Mathematics Andreas Lindner Austrian GeoGebra Institute. Example 1 Steep slide Where is the steepest place of the slide? Modeling of the example Overtaking The green car takes over…. Example 2 Spirograph Real experiment Spirograph. Example 2

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Using Images in GeoGebra for Teaching Mathematics Andreas Lindner Austrian GeoGebra Institute

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  1. Using Images in GeoGebra for Teaching MathematicsAndreas LindnerAustrian GeoGebra Institute Pädagogische Hochschule NÖ

  2. Example 1 • Steep slide • Where is the steepest place of the slide? • Modeling of the example • Overtaking • The green car takes over… Pädagogische Hochschule NÖ

  3. Example 2 Spirograph • Real experiment • Spirograph Pädagogische Hochschule NÖ

  4. Example 2 Optimum values • Find the minima of the surface of a can. • Surface of can Pädagogische Hochschule NÖ

  5. Example 3 Optimum values • Which curve is described by themovement of the crank of this toy? • Ellipse circle Pädagogische Hochschule NÖ

  6. Example 4 Cycloids • Which curve is definedby the movement of a reflector? • Reflector Pädagogische Hochschule NÖ

  7. Example 4 Images from Google Maps • Find a function describing the course of the street in an image taken from Google Maps.Calculate the curvature and the osculating circle at a given place. • Google Maps Pädagogische Hochschule NÖ

  8. Example 5 Drawing parabolas • How to draw a parabola • Parabola Pädagogische Hochschule NÖ

  9. Example 6 No images but 3D… • Sphere coordinates • Spheres of Dandelin Pädagogische Hochschule NÖ

  10. Example 7 Hanging chain • Can a hanging chain be describedby a parabola? Measurement of forces • How to measure forces Pädagogische Hochschule NÖ

  11. Many, many more examples to come… Thank you for your attention Pädagogische Hochschule NÖ

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