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[email_address] http://mrlsmath.com www.tttpress.com “ Building mathematical skill on a foundation of understanding” Visualize Algebra & Geometry  Concepts with the Greatest of Ease A tool to help meet the  California Mathematics Standards presentation by Bill Lombard some graphics from http://en.wikipedia.org  and  /http://commons.wikimedia.org
Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
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) [email_address] http://mrlsmath.com www.tttpress.com
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, 2002) [email_address] http://mrlsmath.com www.tttpress.com
What is GeoGebra? ,[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra  = Geometry Algebra + Geometry & Graphics Window Algebra Window [email_address] http://mrlsmath.com www.tttpress.com
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GeoGebra is Innovative [email_address] http://mrlsmath.com www.tttpress.com
2001-2006: Development ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
[email_address] http://mrlsmath.com www.tttpress.com
World Wide User Community ,[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Visitors on www.geogebra.org [email_address] http://mrlsmath.com www.tttpress.com
GeoGebra as a Pedagogical Tool ,[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Educational Principles ,[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Examples of Using GeoGebra ,[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Creating Teaching Materials ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Ways to use GeoGebra ,[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
W h at does GeoGebra offer? ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Using Dynamic Worksheets ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Combined Representations ,[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Age 6-10: Adding Integers [email_address] http://mrlsmath.com www.tttpress.com
Age 11-14: Multiplying Fractions [email_address] http://mrlsmath.com www.tttpress.com
Age 15-18: Geometry & Algebra [email_address] http://mrlsmath.com www.tttpress.com
Age 17 up: Functions & Calculus [email_address] http://mrlsmath.com www.tttpress.com
Visualizing Parameters [email_address] http://mrlsmath.com www.tttpress.com
Construction Protocol -  a built-in way to replay constructions [email_address] http://mrlsmath.com www.tttpress.com
GeoGebra as a Pedagogical Tool ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Geometry Examples ,[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra as a Pedagogical Tool ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Algebra 1 Examples ,[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra as a Pedagogical Tool ,[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Algebra 2 Examples ,[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra as a Pedagogical Tool ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Trig/Calculus Examples ,[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra’s Web Export ,[object Object],[email_address] http://mrlsmath.com www.tttpress.com
GeoGebra is Open Source ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
International User Community [email_address] http://mrlsmath.com www.tttpress.com
GeoGebra User Forum www.geogebra.org/forum   [email_address] http://mrlsmath.com www.tttpress.com
GeoGebraWiki – Free Materials www.geogebra.org/wiki   [email_address] http://mrlsmath.com www.tttpress.com
Status Quo  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Future Plans ,[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Additional GeoGebra Information ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[email_address] http://mrlsmath.com www.tttpress.com
Teaching: The hardest job you’ll ever love just got easier with GeoGebra! ! [email_address] http://mrlsmath.com www.tttpress.com

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Geogebra by Mr. L

  • 1. [email_address] http://mrlsmath.com www.tttpress.com “ Building mathematical skill on a foundation of understanding” Visualize Algebra & Geometry Concepts with the Greatest of Ease A tool to help meet the California Mathematics Standards presentation by Bill Lombard some graphics from http://en.wikipedia.org and /http://commons.wikimedia.org
  • 2.
  • 3. 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) [email_address] http://mrlsmath.com www.tttpress.com
  • 4. 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, 2002) [email_address] http://mrlsmath.com www.tttpress.com
  • 5.
  • 6. GeoGebra = Geometry Algebra + Geometry & Graphics Window Algebra Window [email_address] http://mrlsmath.com www.tttpress.com
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  • 11. Visitors on www.geogebra.org [email_address] http://mrlsmath.com www.tttpress.com
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  • 20. Age 6-10: Adding Integers [email_address] http://mrlsmath.com www.tttpress.com
  • 21. Age 11-14: Multiplying Fractions [email_address] http://mrlsmath.com www.tttpress.com
  • 22. Age 15-18: Geometry & Algebra [email_address] http://mrlsmath.com www.tttpress.com
  • 23. Age 17 up: Functions & Calculus [email_address] http://mrlsmath.com www.tttpress.com
  • 24. Visualizing Parameters [email_address] http://mrlsmath.com www.tttpress.com
  • 25. Construction Protocol - a built-in way to replay constructions [email_address] http://mrlsmath.com www.tttpress.com
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  • 36. International User Community [email_address] http://mrlsmath.com www.tttpress.com
  • 37. GeoGebra User Forum www.geogebra.org/forum [email_address] http://mrlsmath.com www.tttpress.com
  • 38. GeoGebraWiki – Free Materials www.geogebra.org/wiki [email_address] http://mrlsmath.com www.tttpress.com
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  • 42. Teaching: The hardest job you’ll ever love just got easier with GeoGebra! ! [email_address] http://mrlsmath.com www.tttpress.com