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GeoGebra
Dynamic Mathematics for Schools
Markus Hohenwarter, Judith Preiner
Florida Atlantic University
www.geogebra.org
GeoGebra
What is GeoGebra?
 Dynamic
Mathematics
Software
 For
Learning and Teaching
in Schools
 Geometry, Algebra
 Open
Source
www.geogebra.org
and Calculus
GeoGebra
GeoGebra = Geometry + Algebra
Algebra Window
Geometry & Graphics Window
GeoGebra
Why use Technology?
“Technology is essential in teaching and
learning mathematics; it influences the
mathematics that is taught and enhances
students’ learning.”
(NCTM Principles and Standards, 2000)
GeoGebra
Technology can Enhance Learning

Visualizing
students can “see” abstract concepts

Representations
students can make connections

Experiments
students can discover mathematics
GeoGebra
GeoGebra’s Web Export

Every GeoGebra Construction can be
exported as a Web Page (html)
Dynamic Worksheet

Examples:
 Theorem
of Pythagoras
 Center of a Round Table (ggb)
GeoGebra
Why Open Source?
Available
in Schools and at Home
 Collaboration

– Pool of Shared Materials
 User Forum – Users help Users
 International Community: 35 Languages
 GeoGebraWiki

Expandable
by using other Open Source Libraries
GeoGebra
Differences to Sketchpad / Cabri






No license fees
Truly Platform Independent (Java)
Unlimited and easy Web-Export
(unlike JavaSketchpad, Cabri Java)
Direct input of Equations, Coordinates and
Commands
Integrated Computer Algebra System
Open Architecture: JavaScript Interface
(Example: Fractions)
GeoGebra
Future Plans
Make it Easier, Easier, Easier!
 Spread Sheet Window
 Symbolic Calculator Window (CAS)
 Extended Web-Export

Interactive Exercises, Worksheet Modules
GeoGebra
GeoGebra
Web Addresses

GeoGebra
www.geogebra.org

GeoGebraWiki – Pool of free Materials
www.geogebra.org/wiki

GeoGebra User Forum
www.geogebra.org/forum
GeoGebra
GeoGebra
Markus Hohenwarter © 2001-2007
www.geogebra.org
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