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GeoGebra in Math Education
A Global Community
Presented by Linda Fahlberg-Stojanovska
Dynamic Mathematics for Everyone
What does this mean?
• Dynamic Mathematics
Interactive software that helps visualize and
understand mathematics
Simple interface, powerful mathematics
Dynamic Mathematics for Everyone
What does this mean?
• for Everyone
FOSS (free and open source software)
Translatable (and already translated into more
than 50 languages by volunteers)
• FOSS (Free and open source software)
http://geogebra.org
• Can be downloaded for all platforms
• Can be used on school LANs directly
via a web browser (no install)
• Can be used offline
Why GeoGebra?
First Time GeoGebra
Download Button
Tabs
CLICK NOW!
5
RIGHT NOW
6
GeoGebra Download Page
Project -Dynamic Square
– Make a regular polygon with 4 sides
7
Dynamic Square
• Definitions of a square?
– Regular polygon with 4 sides
• GeoGebra: Regular polygon tool
8
Dynamic Square
– With active
• Click once to get Point A.
• Click again to get Point B.
• Dialog box will open … 4 is there… click on OK.
9
Square Dynamics
– CLICK on the Move tool
– You can click and drag point A or point B.
– The square is ALWAYS a square.
10
Square Dynamics
– You can click and drag the square itself.
This will only move the square
- the dimensions of the square
depend on A and B!
- Try to click and drag point C
or point D.
– Why can’t you click and drag points C or D?
– Answer: They are dependent on A and B.
11
• Many, many applications
– Ready to use applets are available.
– Is easy to use, powerful and dynamic.
– Teachers can use it to better understand what
they are teaching.
– Teachers and students can freely use it anywhere.
– Students can build animations, simulators, …
Why GeoGebra?
• Ready-to-use applet activities are available.
Why GeoGebra?
http://geogebramath.org/lms/nav/activity.jsp?sid=__shared&cid=emready@k_7
_measurement_and_geometry&lid=6
• Teachers/Students can use it to better understand
Why GeoGebra?
http://geogebramath.org/lms/nav/activity.jsp?sid=__shared
&cid=emready@linda_s_calculus_class&lid=2
• Many, many applications
– Students can do great things!
• Challenge
http://madeiramath2.wikispaces.com/Weekly+GeoGebra+Construction+Challenges
• Result – Incredible student creativity
– http://madeiramath2.wikispaces.com/James+OC+Portfolio+Page
• Credit: Steve Phelps, HS Teacher
Why GeoGebra?
• geogebramath.org
Why GeoGebra?
http://geogebramath.org/lms/nav/activity.jsp?sid=__shared&
cid=emready@k_7_measurement_and_geometry&lid=5
• YouTube GeoGebra Channel
Why GeoGebra?
http://www.youtube.com/v/oR8juO00KdU
• YouTube GeoGebra Channel
Why GeoGebra?
http://www.youtube.com/v/oR8juO00KdU
Global Community
in Numbers
Millions of Users in 190 Countries
50 languages
> 120 Volunteer translators
10 Developers
> 40 Institutes
15 000 Online Learning Objects
Visitors on www.geogebra.org
 Visitors: 20.000/Day or 600.000/Month
 Downloads: 10.000/Day or 300.000/Month
 From 190 Countries & Territories
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
2004 2005 2006 2007 2008 2009
Millions
• GeoGebra Forum
GeoGebra Community
GeoGebra Community
• Teacher training and support
– Offer workshops & support
• Material and software development
– Share free materials
• Research
– Encourage and coordinate collaborative
research
2009 GeoGebra Institutes
more coming soon …
www.geogebra.org/community
GeoGebra Certifications
• GeoGebra Users: effective use in own classroom
• Creative GeoGebra Users: create and share innovative
teaching; provide support and workshops in own schools
or districts
• GeoGebra Trainers: carry out practitioner research on
innovative practices; deliver results in own country
• GeoGebra Institute Trainers: highly experienced
GeoGebra presenters, trainers, and researches; provide
support and offer training for IGI participants
Additional IGI activities
• Text books and online courses with integrated GeoGebra materials in
e.g. Australia, Austria, Belgium, Chile, France, Germany, Hungary,
Norway, Singapore, Taiwan, USA
• Book: Model-Centered Learning with GeoGebra: Theory and Practice
in Mathematics Education
• Journal Special Issues: Mathematics, Statistics, Operation Research
Connections
• On-line assessment: TAO (Luxembourg), WebWork (Rochester, NY),
STACK (Birmingham, UK), GeoGebraTUTOR (Barcelona, Montreal)
• Work in developing countries: SchoolNet Africa, African Institute for
Mathematical Sciences, SA
• Online journal: Connecting research and practice, USA, Canada
Implicit Curves: f(x,y) = 0
Philipp Birklbauer, Austria
Locus Line Equation
Sergio Rodriguez & Miguel Abanades, Spain
GeoGebraTouch
Michael Borcherds, UK & Yves Kreis, Luxembourg
GeoGebra3D
Andre Eriksson, Sweden & Mathieu Blossier, France
GeoGebraSpreadsheet
George Sturr, California
GeoGebraTube
Material Platform
Direct upload from
GeoGebra
Rating
Comments
Florian Sonner, Germany
GeoGebraMobile
GeoGebra Applets
should work on
Smartphones
iPhone, iPad, Android
Gabor Ancin & Zoltan Kovacs, Szeged, Hungary
One Laptop per Child Project
Szeged, Hungary
GeoGebra in Math Education
A Global Community
Presented by Linda Fahlberg-Stojanovska

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Keynote - GeoGebra

  • 1. GeoGebra in Math Education A Global Community Presented by Linda Fahlberg-Stojanovska
  • 2. Dynamic Mathematics for Everyone What does this mean? • Dynamic Mathematics Interactive software that helps visualize and understand mathematics Simple interface, powerful mathematics
  • 3. Dynamic Mathematics for Everyone What does this mean? • for Everyone FOSS (free and open source software) Translatable (and already translated into more than 50 languages by volunteers)
  • 4. • FOSS (Free and open source software) http://geogebra.org • Can be downloaded for all platforms • Can be used on school LANs directly via a web browser (no install) • Can be used offline Why GeoGebra?
  • 5. First Time GeoGebra Download Button Tabs CLICK NOW! 5
  • 7. Project -Dynamic Square – Make a regular polygon with 4 sides 7
  • 8. Dynamic Square • Definitions of a square? – Regular polygon with 4 sides • GeoGebra: Regular polygon tool 8
  • 9. Dynamic Square – With active • Click once to get Point A. • Click again to get Point B. • Dialog box will open … 4 is there… click on OK. 9
  • 10. Square Dynamics – CLICK on the Move tool – You can click and drag point A or point B. – The square is ALWAYS a square. 10
  • 11. Square Dynamics – You can click and drag the square itself. This will only move the square - the dimensions of the square depend on A and B! - Try to click and drag point C or point D. – Why can’t you click and drag points C or D? – Answer: They are dependent on A and B. 11
  • 12. • Many, many applications – Ready to use applets are available. – Is easy to use, powerful and dynamic. – Teachers can use it to better understand what they are teaching. – Teachers and students can freely use it anywhere. – Students can build animations, simulators, … Why GeoGebra?
  • 13. • Ready-to-use applet activities are available. Why GeoGebra? http://geogebramath.org/lms/nav/activity.jsp?sid=__shared&cid=emready@k_7 _measurement_and_geometry&lid=6
  • 14. • Teachers/Students can use it to better understand Why GeoGebra? http://geogebramath.org/lms/nav/activity.jsp?sid=__shared &cid=emready@linda_s_calculus_class&lid=2
  • 15. • Many, many applications – Students can do great things! • Challenge http://madeiramath2.wikispaces.com/Weekly+GeoGebra+Construction+Challenges • Result – Incredible student creativity – http://madeiramath2.wikispaces.com/James+OC+Portfolio+Page • Credit: Steve Phelps, HS Teacher Why GeoGebra?
  • 17. • YouTube GeoGebra Channel Why GeoGebra? http://www.youtube.com/v/oR8juO00KdU
  • 18. • YouTube GeoGebra Channel Why GeoGebra? http://www.youtube.com/v/oR8juO00KdU
  • 20. in Numbers Millions of Users in 190 Countries 50 languages > 120 Volunteer translators 10 Developers > 40 Institutes 15 000 Online Learning Objects
  • 21. Visitors on www.geogebra.org  Visitors: 20.000/Day or 600.000/Month  Downloads: 10.000/Day or 300.000/Month  From 190 Countries & Territories 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 2004 2005 2006 2007 2008 2009 Millions
  • 23. GeoGebra Community • Teacher training and support – Offer workshops & support • Material and software development – Share free materials • Research – Encourage and coordinate collaborative research
  • 24. 2009 GeoGebra Institutes more coming soon … www.geogebra.org/community
  • 25. GeoGebra Certifications • GeoGebra Users: effective use in own classroom • Creative GeoGebra Users: create and share innovative teaching; provide support and workshops in own schools or districts • GeoGebra Trainers: carry out practitioner research on innovative practices; deliver results in own country • GeoGebra Institute Trainers: highly experienced GeoGebra presenters, trainers, and researches; provide support and offer training for IGI participants
  • 26. Additional IGI activities • Text books and online courses with integrated GeoGebra materials in e.g. Australia, Austria, Belgium, Chile, France, Germany, Hungary, Norway, Singapore, Taiwan, USA • Book: Model-Centered Learning with GeoGebra: Theory and Practice in Mathematics Education • Journal Special Issues: Mathematics, Statistics, Operation Research Connections • On-line assessment: TAO (Luxembourg), WebWork (Rochester, NY), STACK (Birmingham, UK), GeoGebraTUTOR (Barcelona, Montreal) • Work in developing countries: SchoolNet Africa, African Institute for Mathematical Sciences, SA • Online journal: Connecting research and practice, USA, Canada
  • 27. Implicit Curves: f(x,y) = 0 Philipp Birklbauer, Austria
  • 28. Locus Line Equation Sergio Rodriguez & Miguel Abanades, Spain
  • 29. GeoGebraTouch Michael Borcherds, UK & Yves Kreis, Luxembourg
  • 30. GeoGebra3D Andre Eriksson, Sweden & Mathieu Blossier, France
  • 32. GeoGebraTube Material Platform Direct upload from GeoGebra Rating Comments Florian Sonner, Germany
  • 33. GeoGebraMobile GeoGebra Applets should work on Smartphones iPhone, iPad, Android Gabor Ancin & Zoltan Kovacs, Szeged, Hungary
  • 34. One Laptop per Child Project Szeged, Hungary
  • 35. GeoGebra in Math Education A Global Community Presented by Linda Fahlberg-Stojanovska

Notes de l'éditeur

  1. 27
  2. 28
  3. 29
  4. 30
  5. 32
  6. 33