using images in geogebra for teaching mathematics andreas lindner austrian geogebra institute

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03/14/22 Pädagogische Hochschule 1 Austrian GeoGebra Institute GeoGebra Dynamic Mathematics for Schools Using Images in GeoGebra for Teaching Mathematics Andreas Lindner Austrian GeoGebra Institute

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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