Dynamic mathematics

with Geogebra

What is GeoGebra? Dynamic Mathematics

Software

For Learning and Teachingin Schools

Geometry, Algebra and Calculus

Freely available fromwww.geogebra.org

GeoGebra =

Geometry

Algebra+

Geometry & Graphics Window

Algebra Window

GeoGebra as a Pedagogical Tool

Presentation Tooldynamic visualizations

Modeling Tooldynamic constructions

Authoring Toolinteractive online material

Examples of Using GeoGebra

Visualizingstudents can “see” abstract concepts

Representationsstudents can make connections

Experimentsstudents can discover mathematics

Visualizing Parameters

Visualizing Movement

Examples of Using GeoGebra

Visualizingstudents can “see” abstract concepts

Representationsstudents can make connections

Experimentsstudents can discover mathematics

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

Representations: Sketch & Graph

Unexpected Discoveries

Examples of Using GeoGebra

Visualizingstudents can “see” abstract concepts

Representationsstudents can make connections

Experimentsstudents can discover mathematics

Experiments: What happens when..?

Experiments: Approximation

Educational Principles

Student Activity

Modeling

Multiple Representations

Experimental and Guided Discovery Learning– Great to show you everything but better off

discovering yourselves!

Hands-on activities  ... of this module you should:

Know more about Geogebra.

Have constructed a worksheet and succeeded in posting it online, adding it to your journal in BLACKBOARD.

Didactics will follow in January.

Concretely, your journal, should have:

An uploaded geogebra worksheet.

A 300 word evaluation of the strengths and weaknesses of Geogebra for teaching mathematics.