GeoGebra Please INSTALL GeoGebra WITH INTERNET Go to www.geogebra.orgwww.geogebra.org Click WebStart third item in the left menu Click button WebStart.

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Presentation transcript:

GeoGebra Please INSTALL GeoGebra WITH INTERNET Go to Click WebStart third item in the left menu Click button WebStart GeoGebra is installed automatically WITHOUT INTERNET Ask us for USB flash drive with GeoGebra

GeoGebra Free Dynamic Mathematics Software Markus & Judith Hohenwarter

GeoGebra Overview What is GeoGebra? Using GeoGebra for Teaching & Learning GeoGebra’s Web Export Open Source & GeoGebra Support Hands-on Activities

GeoGebra What is GeoGebra? Dynamic Mathematics Software For Learning and Teaching in Schools Geometry, Algebra and Calculus Freely available from

GeoGebra GeoGebra =GeometryAlgebra+ Geometry & Graphics Window Algebra Window

GeoGebra Combination of elements of  dynamic geometry software (Sketchpad, Cabri)  computer algebra systems (Derive, Maple) High technical portability  runs on Windows, Linux, Solaris, MacOS X  dynamic worksheets (html) GeoGebra is Innovative

GeoGebra

Using GeoGebra for Teaching & Learning

GeoGebra GeoGebra as a Pedagogical Tool Presentation Tool dynamic visualizations Modeling Tool dynamic constructions Authoring Tool interactive online material

GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

GeoGebra Visualizing Adding Integers

GeoGebra Visualizing Multiplying Fractions

GeoGebra Visualizing Parameters

GeoGebra Visualizing Parameters

GeoGebra Visualizing Movement

GeoGebra Visualizing Slope Functions

GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

GeoGebra Multiple Representations GeoGebra: Bidirectional Connection Symbolic ⇔ Graphics Examples  Coordinates ⇔ Point in Coordinate System  Circle‘s Equation ⇔ Circle drawn in Coordinate System  Function‘s Equation ⇔ Graph of Function

GeoGebra Representations: Sketch & Graph

GeoGebra Unexpected Discoveries

GeoGebra Representations: Geometry & Algebra

GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

GeoGebra Experiments: Math & Real World

GeoGebra Experiments: What happens when... ?

GeoGebra Experiments: Connections

GeoGebra Experiments: Approximation

GeoGebra Educational Principles Student Activity Modeling Multiple Representations Experimental and Guided Discovery Learning

GeoGebra GeoGebra Communtiy and free software

GeoGebra Why is it Free? Accessability  Available in Schools and at Home Online Collaboration  International Community  User Forum – Users help Users User Forum  GeoGebraWiki – Pool of Shared Materials GeoGebraWiki  Volunteers (Translators, Programmers) Expandable by using other free software libraries

GeoGebra World Wide User Community 40 languages 190 countries 400,000 visitors per month

GeoGebra GeoGebra User Forum

GeoGebra GeoGebra’s Web Export Every GeoGebra Construction can be exported as a Web Page (html) Dynamic Worksheet Examples:  Theorem of Thales Theorem of Thales  Center of a Round Table (ggb) Solution worksheet Center of a Round Tableggb Solution worksheet

GeoGebra GeoGebraWiki – Free Materials

GeoGebra Future Plans Make it Easier, Easier, Easier! Spread Sheet Window Symbolic Algebra Window (CAS) 3D extension

GeoGebra Hands-on Activities See handout