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Geogebra Slideshow

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Geogebra Slideshow

  1. 1. GeoGebra Dynamic Mathematics, its Community Markus Hohenwarter Mathematics Education JKU Linz [email_address]
  2. 2. Overview <ul><li>Short History </li></ul><ul><li>Examples </li></ul><ul><li>Community </li></ul><ul><li>Projects </li></ul>
  3. 3. GeoGebra‘s History
  4. 4. Computer Algebra Systems Derive Mathematica
  5. 5. Interactive Geometry Software
  6. 6. GeoGebra = Geometry & Algebra <ul><li>2001/02 Master’s Project Univ. Salzburg </li></ul><ul><li>Version 1.0 April 2002 </li></ul><ul><li>Tool for Analytic Geometry: points, vectors, lines, conic sections </li></ul>
  7. 7. Dynamic Worksheets <ul><li>Version 2.1 January 2004 </li></ul><ul><li>Interactive web pages </li></ul>
  8. 8. GeoGebra Examples
  9. 9. Vectors & Images
  10. 10. Theo Jansen’s Beach Beast
  11. 11. Fake-3D with GeoGebra 3.2
  12. 12. Parameter Investigations
  13. 13. Trace of Slope Function
  14. 14. Regression
  15. 15. Newton’s Method
  16. 16. Randomised Exercises Parabolas Vectors
  17. 17. GeoGebra‘s Community
  18. 18. Visitors on www.geogebra.org <ul><li>Visitors: 20.000/Day or 600.000/Month </li></ul><ul><li>Downloads: 10.000/Day or 300.000/Month </li></ul><ul><li>From 190 Countries & Territories </li></ul>
  19. 19. GeoGebraWiki 15,000 free learning objects www.geogebra.org /wiki
  20. 20. GeoGebra in Numbers <ul><li>10 Developers </li></ul><ul><li>30 Institutes </li></ul><ul><li>50 languages </li></ul><ul><li>120 Translators </li></ul><ul><li>15.000 Online Learning Objects </li></ul><ul><li>Millions of Users in 190 Countries </li></ul>
  21. 21. GeoGebra Current Projects
  22. 22. GeoGebraTube <ul><li>Material Platform </li></ul><ul><li>Direct upload from GeoGebra </li></ul><ul><li>Rating </li></ul><ul><li>Comments </li></ul>
  23. 23. GeoGebraTouch
  24. 24. GeoGebraMobile <ul><li>GeoGebra Applets should work on Smartphones </li></ul><ul><li>iPhone, Android, Windows Phone 7 </li></ul>
  25. 25. GeoGebra3D University of Rouen, France
  26. 26. GeoGebraCAS <ul><li>Full integration of a symbolic view in GeoGebra </li></ul><ul><li>Dynamic updates of dependencies </li></ul><ul><li>Easy to use starting from age 13 </li></ul>
  27. 27. GeoGebraCAS - Design GeoGebra GeoGebraCAS CAS Engine(s) MathPiper, Maxima, ...
  28. 28. Command Translations MathPiper D(x)a*x^3 GeoGebraCAS Derivative[a x 3 , x] Maxima diff( a*x^3,x ) -> 3*a*x^2 -> 3*a*x^2 GeoGebraCAS 3a x 2
  29. 29. Summer of Code <ul><ul><li>5 student projects supported by Google </li></ul></ul><ul><li>Grant for GeoGebra as open source project </li></ul><ul><li>Austria, Germany, India, Spain, Sweden </li></ul><ul><li>Locus Line Equations </li></ul><ul><li>Sergio Arbeo. Mentor: Miguel Abánades </li></ul><ul><li>Universidad Complutense Madrid, Spain </li></ul><ul><li>Plotting of Implicit Curves </li></ul><ul><li>Philipp Birklbauer, JKU </li></ul>

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