GeoGebraDynamic Mathematics for Schools

Markus Hohenwarter, Judith Preiner Florida Atlantic University

www.geogebra.org

GeoGebra

What is GeoGebra? Dynamic Mathematics

Software

For Learning and Teachingin Schools

Geometry, Algebra and Calculus

Open Sourcewww.geogebra.org

GeoGebra

GeoGebra = Geometry Algebra+

Geometry & Graphics Window

Algebra 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

Visualizingstudents can “see” abstract concepts

Representationsstudents can make connections

Experimentsstudents can discover mathematics

GeoGebra

GeoGebra’s Web Export

Every GeoGebra Construction can be exported as a Web Page (html)

Dynamic Worksheet

Examples:Theorem of PythagorasCenter of a Round Table (ggb)

GeoGebra

Why Open Source? Available

in Schools and at Home Collaboration

GeoGebraWiki – Pool of Shared MaterialsUser Forum – Users help Users International Community: 35 Languages

Expandableby 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 Materialswww.geogebra.org/wiki

GeoGebra User Forumwww.geogebra.org/forum

GeoGebra

Markus Hohenwarter © 2001-2007www.geogebra.org

GeoGebra