GeoGebraDynamic Mathematics for Everyone

Markus & Judith Hohenwarter Florida State University

www.geogebra.org

GeoGebra

Overview

What is GeoGebra?

Examples

Hands-on Activities with GeoGebra

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

GeoGebra

What is GeoGebra?

Dynamic MathematicsSoftware

For Learning and Teaching Mathematics

From Elementary School to University Level

Freely Available fromwww.geogebra.org

GeoGebra

GeoGebra = Geometry Algebra+

Geometry & Graphics Window

Algebra Window

GeoGebra

Technology can Enhance Learning

Visualizingstudents can “see” abstract concepts

Representationsstudents can make connections

Experimentsstudents can discover mathematics

GeoGebra

Visualizing Adding Integers

GeoGebra

Visualizing Multiplying Fractions

GeoGebra

Visualizing Parameters

GeoGebra

Representations: Sketch & Graph

GeoGebra

Experiments: Math & Real World

GeoGebra

Experiments: What happens when ... ?

GeoGebra

Guy Barmoha, Fort Lauderdale, Florida

GeoGebra

Ways to use GeoGebra

Creation of ImagesDynamic PresentationsDynamic Worksheets for

StudentsModeling by Students

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

GeoGebra

GeoGebraWiki – Free Materials

www.geogebra.org/wiki

GeoGebraSoftware: www.geogebra.org

Slides: www.geogebra.org/workshop