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Dynamic mathematics
with Geogebra
What is GeoGebra?
 Dynamic Mathematics
Software
 For Learning and
Teaching
in Schools
 Geometry, Algebra and
Calculus
...
GeoGebra = Geometry + Algebra

Algebra
Window
Geometry & Graphics
Window
GeoGebra as a Pedagogical Tool
 Presentation Tool

dynamic visualizations

 Modeling Tool

dynamic constructions

 Auth...
Examples of Using GeoGebra
 Visualizing
students can “see” abstract concepts
 Representations
students can make connecti...
Visualizing Parameters
Visualizing Movement
Examples of Using GeoGebra
 Visualizing
students can “see” abstract concepts
 Representations
students can make connecti...
Multiple Representations
 GeoGebra: Bidirectional Connection
Symbolic ⇔ Graphics
 Examples
– Coordinates ⇔ Point in Coor...
Representations:
Sketch & Graph
Unexpected Discoveries
Examples of Using GeoGebra
 Visualizing
students can “see” abstract concepts
 Representations
students can make connecti...
Experiments: What happens when..?
Experiments: Approximation
Educational Principles
 Student Activity
 Modeling
 Multiple Representations
 Experimental and
Guided Discovery Learni...
Hands-on activities
  ... of this module you should:
Know more about Geogebra.
 Have constructed a worksheet and succeed...
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Geogebra intro

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Geogebra intro

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  • Transcript of "Geogebra intro"

    1. 1. Dynamic mathematics with Geogebra
    2. 2. What is GeoGebra?  Dynamic Mathematics Software  For Learning and Teaching in Schools  Geometry, Algebra and Calculus  Freely available from www.geogebra.org
    3. 3. GeoGebra = Geometry + Algebra Algebra Window Geometry & Graphics Window
    4. 4. GeoGebra as a Pedagogical Tool  Presentation Tool dynamic visualizations  Modeling Tool dynamic constructions  Authoring Tool interactive online material
    5. 5. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
    6. 6. Visualizing Parameters
    7. 7. Visualizing Movement
    8. 8. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
    9. 9. Multiple Representations  GeoGebra: Bidirectional Connection Symbolic ⇔ Graphics  Examples – Coordinates ⇔ Point in Coordinate System – Circle‘s Equation ⇔ Circle drawn in Coordinate System – Function‘s Equation ⇔ Graph of Function
    10. 10. Representations: Sketch & Graph
    11. 11. Unexpected Discoveries
    12. 12. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
    13. 13. Experiments: What happens when..?
    14. 14. Experiments: Approximation
    15. 15. Educational Principles  Student Activity  Modeling  Multiple Representations  Experimental and Guided Discovery Learning – Great to show you everything but better off discovering yourselves!
    16. 16. Hands-on activities   ... of this module you should: Know more about Geogebra.  Have constructed a worksheet and succeeded in posting it online, adding it to your journal in BLACKBOARD. Didactics will follow in January. Concretely, your journal, should have:  An uploaded geogebra worksheet.  A 300 word evaluation of the strengths and weaknesses of Geogebra for teaching mathematics.
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