GeoGebra

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GeoGebra
New Paths to Old Goals Dynamic Mathematics with
Ana EscuderFlorida Atlantic Universityaescuder_at_f
au.edu
Megan YanesBroward County Schoolsmegan.yanes_at_bro
wardschools.com
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Congratulations to the Mathematics Presidential
Award Winners of 2008!
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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
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Overview

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

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What is GeoGebra?

• Dynamic MathematicsSoftware
• For Learning and Teachingin Schools
• Geometry, Algebra and Calculus
• Open Sourcewww.geogebra.org

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GeoGebra
Geometry
Algebra

Algebra Window
Geometry and Graphics Window
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Technology or No Technology?

• What we have learned from all the media
  comparison research is that its 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)

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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)

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Examples of Using GeoGebra

• Visualizingstudents can see abstract concepts
• Multiple Representationsstudents can make
  connections
• Experimentsstudents can discover mathematics

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Visualizing Parameters
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Visualizing Movement
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Visualizing Slope Functions
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Examples of Using GeoGebra

• Visualizingstudents can see abstract concepts
• Multiple Representationsstudents can make
  connections
• Experimentsstudents can discover mathematics

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Representations Sketch Graph
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Unexpected Discoveries
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Representation Theorem to Picture
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Examples of Using GeoGebra

• Visualizingstudents can see abstract concepts
• Multiple Representationsstudents can make
  connections
• Experimentsstudents can discover mathematics

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Experiments Connections
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Experiments Approximation
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Experiments Math Real World
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GeoGebras 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

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GeoGebraWiki Free Materials
www.geogebra.org/wiki
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GeoGebra User Forum
www.geogebra.org/forum
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• ww.geogebra.org/msp-ws

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Materials

• paemstnsf.pbwiki.com

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Thank You!

• Megan and Ana