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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 - PowerPoint PPT Presentation
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04/19/23 Pädagogische Hochschule NÖ 1
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Using Images in GeoGebra for Teaching Mathematics
Andreas LindnerAustrian GeoGebra Institute
04/19/23 Pädagogische Hochschule NÖ 2
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 1
• Steep slide – Where is the steepest place of the slide?– Modeling of the example
• Overtaking– The green car takes over…
04/19/23 Pädagogische Hochschule NÖ 3
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 2Spirograph
– Real experiment– Spirograph
04/19/23 Pädagogische Hochschule NÖ 4
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 2Optimum values
– Find the minima of the surface of a can.
– Surface of can
04/19/23 Pädagogische Hochschule NÖ 5
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 3Optimum values
– Which curve is described by themovement of the crank of this toy?
– Ellipse circle
04/19/23 Pädagogische Hochschule NÖ 6
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 4
Cycloids – Which curve is defined
by the movement of a reflector? – Reflector
04/19/23 Pädagogische Hochschule NÖ 7
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
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
04/19/23 Pädagogische Hochschule NÖ 8
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 5
Drawing parabolas – How to draw a parabola– Parabola
04/19/23 Pädagogische Hochschule NÖ 9
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 6
No images but 3D…
– Sphere coordinates
– Spheres of Dandelin
04/19/23 Pädagogische Hochschule NÖ 10
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Example 7
Hanging chain – Can a hanging chain be described
by a parabola?
Measurement of forces– How to measure forces
04/19/23 Pädagogische Hochschule NÖ 11
Austrian GeoGebra Institute
GeoGebraDynamic Mathematics for Schools
Many, many more examples to come…
Thank you for your attention
