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GeoGebra

New Paths to Old Goals: Dynamic Mathematics with. GeoGebra. Ana Escuder Florida Atlantic University aescuder@fau.edu. Megan Yanes Broward County Schools megan.yanes@browardschools.com. Congratulations to the Mathematics Presidential Award Winners of 2008!. Mirror.

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GeoGebra

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  1. New Paths to Old Goals: Dynamic Mathematics with GeoGebra Ana EscuderFlorida Atlantic Universityaescuder@fau.edu Megan YanesBroward County Schoolsmegan.yanes@browardschools.com

  2. Congratulations to the Mathematics Presidential Award Winners of 2008!

  3. Mirror • How large is the distance between the two lines compared to the size of your head? • How does this distance change with your distance from the mirror? • How large should a mirror be to see your whole self? Mirror point Mirror image

  4. Overview • What is GeoGebra? • Download GeoGebra • Examples of Using GeoGebra • Dynamic Worksheets • GeoGebra in action • Stay Connected

  5. What is GeoGebra? Dynamic MathematicsSoftware For Learning and Teachingin Schools Geometry, Algebra and Calculus Open Sourcewww.geogebra.org

  6. GeoGebra = Geometry + Algebra Algebra Window Geometry and Graphics Window

  7. Technology or No Technology? “What we have learned from all the media comparison research is that it’s not the medium, but rather the instructional methods that cause learning. When the instructional methods remain essentially the same, so does the learning, no matter how the instruction is delivered.” (Clark & Mayer, e-Learning and the Science of Instruction, 2007)

  8. Why use Technology? “Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.”(NCTM Principles and Standards, 2000)

  9. Examples of Using GeoGebra • Visualizingstudents can “see” abstract concepts • Multiple Representationsstudents can make connections • Experimentsstudents can discover mathematics

  10. Visualizing Parameters

  11. Visualizing Movement

  12. Visualizing Slope Functions

  13. Examples of Using GeoGebra • Visualizingstudents can “see” abstract concepts • Multiple Representationsstudents can make connections • Experimentsstudents can discover mathematics

  14. Representations: Sketch & Graph

  15. Unexpected Discoveries

  16. Representation: Theorem to Picture

  17. Examples of Using GeoGebra • Visualizingstudents can “see” abstract concepts • Multiple Representationsstudents can make connections • Experimentsstudents can discover mathematics

  18. Experiments: Connections

  19. Experiments: Approximation

  20. Experiments: Math & Real World

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

  22. GeoGebraWiki – Free Materials www.geogebra.org/wiki

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

  24. ww.geogebra.org/msp-ws

  25. Materials paemstnsf.pbwiki.com

  26. Thank You! Megan and Ana

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