geo gebra
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GeoGebraDynamic Mathematics for Everyone
Markus & Judith Hohenwarter Florida State University
www.geogebra.org
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GeoGebra
Overview
What is GeoGebra?
Examples
Hands-on Activities with GeoGebra
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GeoGebra
Mirror Image How large is the distance
between the two lines compared to the size of your head?
How does this distance change with your distance from the mirror?
How large should a mirror be to see your whole self?
Mirror point Mirror image
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GeoGebra
What is GeoGebra?
Dynamic MathematicsSoftware
For Learning and Teaching Mathematics
From Elementary School to University Level
Freely Available fromwww.geogebra.org
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GeoGebra
GeoGebra = Geometry Algebra+
Geometry & Graphics Window
Algebra Window
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GeoGebra
Technology can Enhance Learning
Visualizingstudents can “see” abstract concepts
Representationsstudents can make connections
Experimentsstudents can discover mathematics
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GeoGebra
Visualizing Adding Integers
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GeoGebra
Visualizing Multiplying Fractions
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GeoGebra
Visualizing Parameters
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GeoGebra
Representations: Sketch & Graph
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GeoGebra
Experiments: Math & Real World
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GeoGebra
Experiments: What happens when ... ?
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GeoGebra
Guy Barmoha, Fort Lauderdale, Florida
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GeoGebra
Ways to use GeoGebra
Creation of ImagesDynamic PresentationsDynamic Worksheets for
StudentsModeling by Students
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GeoGebra
GeoGebra started in 2002 in Austria
Open Source Project 15 Developers 45 Languages 100+ Translators 8400 Learning Objects 400K Visitors / Month
Behind the Scences
15
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GeoGebra
GeoGebraWiki – Free Materials
www.geogebra.org/wiki
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GeoGebraSoftware: www.geogebra.org
Slides: www.geogebra.org/workshop