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GeoGebra Dynamic Mathematics for Everyone Markus & Judith Hohenwarter  Florida State University www.geogebra.org
Overview <ul><li>What is GeoGebra?  </li></ul><ul><li>Examples </li></ul><ul><li>Hands-on Activities with GeoGebra </li></ul>
Mirror Image <ul><li>How large is the distance between the two lines compared to the size of your head? </li></ul><ul><li>...
What is GeoGebra? <ul><li>Dynamic Mathematics Software </li></ul><ul><li>For Learning and Teaching Mathematics  </li></ul>...
GeoGebra  = Geometry Algebra + Geometry & Graphics Window Algebra Window
Technology can Enhance Learning <ul><li>Visualizing students can “see” abstract concepts </li></ul><ul><li>Representations...
Visualizing Adding Integers
Visualizing Multiplying Fractions
Visualizing Parameters
Representations: Sketch & Graph
Experiments: Math & Real World
Experiments: What happens when ... ?
Guy Barmoha, Fort Lauderdale, Florida
Ways to use GeoGebra <ul><li>Creation of Images </li></ul><ul><li>Dynamic Presentations </li></ul><ul><li>Dynamic Workshee...
<ul><li>GeoGebra s tarted in 2002 in Austria </li></ul><ul><li>Open Source Project </li></ul><ul><li>15 Developers </li></...
GeoGebraWiki – Free Materials www.geogebra.org/wiki
GeoGebra Software:  www.geogebra.org   Slides:  www.geogebra.org/workshop
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Geo Gebra

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Geo Gebra

  1. 1. GeoGebra Dynamic Mathematics for Everyone Markus & Judith Hohenwarter Florida State University www.geogebra.org
  2. 2. Overview <ul><li>What is GeoGebra? </li></ul><ul><li>Examples </li></ul><ul><li>Hands-on Activities with GeoGebra </li></ul>
  3. 3. Mirror Image <ul><li>How large is the distance between the two lines compared to the size of your head? </li></ul><ul><li>How does this distance change with your distance from the mirror? </li></ul><ul><li>How large should a mirror be to see your whole self? </li></ul>Mirror point Mirror image
  4. 4. What is GeoGebra? <ul><li>Dynamic Mathematics Software </li></ul><ul><li>For Learning and Teaching Mathematics </li></ul><ul><li>From Elementary School to University Level </li></ul><ul><li>Freely Available from www.geogebra.org </li></ul>
  5. 5. GeoGebra = Geometry Algebra + Geometry & Graphics Window Algebra Window
  6. 6. Technology can Enhance Learning <ul><li>Visualizing students can “see” abstract concepts </li></ul><ul><li>Representations students can make connections </li></ul><ul><li>Experiments students can discover mathematics </li></ul>
  7. 7. Visualizing Adding Integers
  8. 8. Visualizing Multiplying Fractions
  9. 9. Visualizing Parameters
  10. 10. Representations: Sketch & Graph
  11. 11. Experiments: Math & Real World
  12. 12. Experiments: What happens when ... ?
  13. 13. Guy Barmoha, Fort Lauderdale, Florida
  14. 14. Ways to use GeoGebra <ul><li>Creation of Images </li></ul><ul><li>Dynamic Presentations </li></ul><ul><li>Dynamic Worksheets for Students </li></ul><ul><li>Modeling by Students </li></ul>
  15. 15. <ul><li>GeoGebra s tarted in 2002 in Austria </li></ul><ul><li>Open Source Project </li></ul><ul><li>15 Developers </li></ul><ul><li>45 Languages </li></ul><ul><li>100+ Translators </li></ul><ul><li>8400 Learning Objects </li></ul><ul><li>400K Visitors / Month </li></ul>Behind the Scences
  16. 16. GeoGebraWiki – Free Materials www.geogebra.org/wiki
  17. 17. GeoGebra Software: www.geogebra.org Slides: www.geogebra.org/workshop

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