1. GeoGebra Please INSTALL GeoGebra WITH INTERNET Go to www.geogebra.orgwww.geogebra.org Click WebStart third item in the left menu Click button WebStart GeoGebra is installed automatically WITHOUT INTERNET Ask us for USB flash drive with GeoGebra

2. GeoGebra Free Dynamic Mathematics Software Markus & Judith Hohenwarter www.geogebra.org www.geogebra.org

3. GeoGebra Overview What is GeoGebra? Using GeoGebra for Teaching & Learning GeoGebra’s Web Export Open Source & GeoGebra Support Hands-on Activities

4. GeoGebra What is GeoGebra? Dynamic Mathematics Software For Learning and Teaching in Schools Geometry, Algebra and Calculus Freely available from www.geogebra.org www.geogebra.org

5. GeoGebra GeoGebra =GeometryAlgebra+ Geometry & Graphics Window Algebra Window

6. GeoGebra Combination of elements of  dynamic geometry software (Sketchpad, Cabri)  computer algebra systems (Derive, Maple) High technical portability  runs on Windows, Linux, Solaris, MacOS X  dynamic worksheets (html) GeoGebra is Innovative

7. GeoGebra

8. Using GeoGebra for Teaching & Learning

9. GeoGebra GeoGebra as a Pedagogical Tool Presentation Tool dynamic visualizations Modeling Tool dynamic constructions Authoring Tool interactive online material

10. GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

11. GeoGebra Visualizing Adding Integers

12. GeoGebra Visualizing Multiplying Fractions

13. GeoGebra Visualizing Parameters

14. GeoGebra Visualizing Parameters

15. GeoGebra Visualizing Movement

16. GeoGebra Visualizing Slope Functions

17. GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

18. GeoGebra 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

19. GeoGebra Representations: Sketch & Graph

20. GeoGebra Unexpected Discoveries

21. GeoGebra Representations: Geometry & Algebra

22. GeoGebra Examples of Using GeoGebra Visualizing students can “see” abstract concepts Visualizing Representations students can make connections Representations Experiments students can discover mathematics Experiments

23. GeoGebra Experiments: Math & Real World

24. GeoGebra Experiments: What happens when... ?

25. GeoGebra Experiments: Connections

26. GeoGebra Experiments: Approximation

27. GeoGebra Educational Principles Student Activity Modeling Multiple Representations Experimental and Guided Discovery Learning

28. GeoGebra GeoGebra Communtiy and free software

29. GeoGebra Why is it Free? Accessability  Available in Schools and at Home Online Collaboration  International Community  User Forum – Users help Users User Forum  GeoGebraWiki – Pool of Shared Materials GeoGebraWiki  Volunteers (Translators, Programmers) Expandable by using other free software libraries

30. GeoGebra World Wide User Community 40 languages 190 countries 400,000 visitors per month

31. GeoGebra GeoGebra User Forum www.geogebra.org/forum

32. GeoGebra GeoGebra’s Web Export Every GeoGebra Construction can be exported as a Web Page (html) Dynamic Worksheet Examples:  Theorem of Thales Theorem of Thales  Center of a Round Table (ggb) Solution worksheet Center of a Round Tableggb Solution worksheet

33. GeoGebra GeoGebraWiki – Free Materials www.geogebra.org/wiki

34. GeoGebra Future Plans Make it Easier, Easier, Easier! Spread Sheet Window Symbolic Algebra Window (CAS) 3D extension

35. GeoGebra Hands-on Activities See handout