presentation geogebra 250912

Dynamic mathematics

with GeogebraDr Christian Bokhove@cb1601ej

C.Bokhove@soton.ac.uk

Southampton Education School

Who am I?– Christian Bokhove, Netherlands– Teacher maths & computer science

secondary school ‘98-’12– ICT & maths projects and PhD

Disclaimer– We do not favor one software or the other

…but we have to choose one– Be critical about all software and

hardware– www.geogebra.org

And now…

Who knows geogebra already?

Can you describe geogebra in your own words?

Short introduction

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 activitiesDo several activities

Choose from the worksheet(s), on Blackboard (or paper)– Work from 1 to 5– Then choose what you like from 6 onwards– Main goal: learn to use geogebra

Want to learn more? (e.g. scripting, customizing toolbars) seehttp://wiki.geogebra.org/en/Tutorial:Main_Page and http://www.geogebra.org/en/wiki/index.php/Workshop_materials