Transcript Using Images in GeoGebra for Teaching Mathematics GeoGebra Andreas Lindner

GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Using Images in GeoGebra
for Teaching Mathematics
Andreas Lindner
Austrian GeoGebra Institute
23.05.2016
Pädagogische Hochschule NÖ
1
GeoGebra
Dynamic Mathematics for Schools
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…
23.05.2016
Pädagogische Hochschule NÖ
2
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 2
Spirograph
– Real experiment
– Spirograph
23.05.2016
Pädagogische Hochschule NÖ
3
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 2
Optimum values
– Find the minima
of the surface of a can.
– Surface of can
23.05.2016
Pädagogische Hochschule NÖ
4
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 3
Optimum values
– Which curve is described by the
movement of the crank of this toy?
– Ellipse circle
23.05.2016
Pädagogische Hochschule NÖ
5
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 4
Cycloids
– Which curve is defined
by the movement of a reflector?
– Reflector
23.05.2016
Pädagogische Hochschule NÖ
6
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
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
23.05.2016
Pädagogische Hochschule NÖ
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GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 5
Drawing parabolas
– How to draw a parabola
– Parabola
23.05.2016
Pädagogische Hochschule NÖ
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GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 6
No images but 3D…
– Sphere coordinates
– Spheres of Dandelin
23.05.2016
Pädagogische Hochschule NÖ
9
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Example 7
Hanging chain
– Can a hanging chain be described
by a parabola?
Measurement of forces
– How to measure forces
23.05.2016
Pädagogische Hochschule NÖ
10
GeoGebra
Dynamic Mathematics for Schools
Austrian GeoGebra Institute
Many, many more examples to come…
Thank you for your attention
23.05.2016
Pädagogische Hochschule NÖ
11