Pädagogische Hochschule NÖ

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 Präsentation transkript:

Pädagogische Hochschule NÖ Using Images in GeoGebra for Teaching Mathematics Andreas Lindner Austrian GeoGebra Institute 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 1 Steep slide Where is the steepest place of the slide? Modeling of the example Overtaking The green car takes over… 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 2 Spirograph Real experiment 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 2 Optimum values Find the minima of the surface of a can. Surface of can 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 3 Optimum values Which curve is described by the movement of the crank of this toy? Ellipse circle 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 4 Cycloids Which curve is defined by the movement of a reflector? Reflector 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ 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 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 5 Drawing parabolas How to draw a parabola Parabola 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 6 No images but 3D… Sphere coordinates Spheres of Dandelin 20.09.2018 Pädagogische Hochschule NÖ

Pädagogische Hochschule NÖ Example 7 Hanging chain Can a hanging chain be described by a parabola? Measurement of forces How to measure forces 20.09.2018 Pädagogische Hochschule NÖ

Many, many more examples to come… Thank you for your attention 20.09.2018 Pädagogische Hochschule NÖ