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GeoGebra
Please INSTALL GeoGebraWITH INTERNET Go to www.geogebra.org Click WebStart
third item in the left menu Click button WebStart
GeoGebra is installed automaticallyWITHOUT INTERNET Ask us for USB flash drive with
GeoGebra
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GeoGebraFree Dynamic Mathematics Software
Markus & Judith Hohenwarter www.geogebra.org
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GeoGebra
Overview What is GeoGebra? Using GeoGebra for Teaching &
Learning GeoGebra’s Web Export Open Source & GeoGebra Support Hands-on Activities
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GeoGebra
What is GeoGebra? Dynamic Mathematics
Software For Learning and Teaching
in Schools Geometry, Algebra and
Calculus Freely available from
www.geogebra.org
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GeoGebra
GeoGebra = Geometry Algebra+
Geometry & Graphics Window
Algebra Window
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GeoGebra
Combination of elements ofdynamic geometry software (Sketchpad, Cabri)computer algebra systems (Derive, Maple)
High technical portabilityruns on Windows, Linux,
Solaris, MacOS Xdynamic worksheets (html)
GeoGebra is Innovative
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GeoGebra
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GeoGebra
Using GeoGebra forTeaching & Learning
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GeoGebra
GeoGebra as a Pedagogical Tool Presentation Tool
dynamic visualizations
Modeling Tooldynamic constructions
Authoring Toolinteractive online material
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GeoGebra
Examples of Using GeoGebra Visualizing
students 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
Visualizing Parameters
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GeoGebra
Visualizing Movement
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GeoGebra
Visualizing Slope Functions
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GeoGebra
Examples of Using GeoGebra Visualizing
students can “see” abstract concepts
Representationsstudents can make connections
Experimentsstudents can discover mathematics
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GeoGebra
Multiple Representations GeoGebra: Bidirectional Connection
Symbolic ⇔ Graphics
ExamplesCoordinates ⇔ Point in Coordinate SystemCircle‘s Equation ⇔
Circle drawn in Coordinate SystemFunction‘s Equation ⇔ Graph of Function
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GeoGebra
Representations: Sketch & Graph
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GeoGebra
Unexpected Discoveries
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GeoGebra
Representations: Geometry & Algebra
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GeoGebra
Examples of Using GeoGebra Visualizing
students can “see” abstract concepts
Representationsstudents can make connections
Experimentsstudents can discover mathematics
![Page 23: GeoGebra Please INSTALL GeoGebra WITH INTERNET Go to Click WebStart third item in the left menu Click button WebStart](https://reader036.vdocuments.mx/reader036/viewer/2022081513/5a4d1add7f8b9ab059975632/html5/thumbnails/23.jpg)
GeoGebra
Experiments: Math & Real World
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GeoGebra
Experiments: What happens when ... ?
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GeoGebra
Experiments: Connections
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GeoGebra
Experiments: Approximation
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GeoGebra
Educational Principles
Student Activity Modeling Multiple Representations Experimental and
Guided Discovery Learning
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GeoGebra
GeoGebra Communtiyand free software
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GeoGebra
Why is it Free? Accessability
Available in Schools and at Home Online Collaboration
International Community User Forum – Users help Users GeoGebraWiki – Pool of Shared Materials Volunteers (Translators, Programmers)
Expandableby using other free software libraries
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GeoGebra
World Wide User Community
40 languages 190 countries 400,000 visitors
per month
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GeoGebra
GeoGebra User Forum
www.geogebra.org/forum
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GeoGebra
GeoGebra’s Web Export Every GeoGebra Construction can be
exported as a Web Page (html)Dynamic Worksheet
Examples:Theorem of ThalesCenter of a Round Table (ggb)
Solution worksheet
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GeoGebra
GeoGebraWiki – Free Materials
www.geogebra.org/wiki
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GeoGebra
Future Plans
Make it Easier, Easier, Easier! Spread Sheet Window Symbolic Algebra Window (CAS) 3D extension
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GeoGebra
Hands-on ActivitiesSee handout