1. 1 in Learning and Teaching of Anthony Or Education Infrastructure Division Education Bureau 7 Nov 2012 Mathematics Using

2. GeoGebra 2 Using GeoGebra 4 in Learning and Teaching of Mathematics 1.Introduction to GeoGebra 4 2.Exemplars of GeoGebra Tasks 3.Hands-on Workshop

3. 3 1.Introduction to GeoGebra 4 GeoGebra

4. 4 Genesis: the master thesis project of Markus Hohenwarter at the University of Salzburg in 2002 Free dynamic geometry software that joins interactively geometry, algebra, tables, graphing, calculus and statistics in one easy- to-use package 1.What is GeoGebra?

5. GeoGebra 5 Two Representations in Graphics and Algebra Views 1.What is GeoGebra? Algebra View Toolbar Undo/Redo Input Field Spreadsheet View Graphics View

6. GeoGebra 6 Toolboxes 1.What is GeoGebra? Movement and Selection PointsSpecial Lines Circles and Arcs MeasurementsSpecial Objects: Text, Image, Probability Calculator, Function Inspector General Lines and VectorsPolygonsTransformations Action ObjectsConics

7. GeoGebra 7 Tools in a Toolbox 1.What is GeoGebra?

8. GeoGebra 8 1.Installing GeoGebra 4 http://www.geogebra.org

9. GeoGebra 9 3.Introduction to GeoGebra – Installing GeoGebra Recommended Update your ver. automatically Run in browser without installation Run in USB drive without installation

10. GeoGebra 10 1.Why GeoGebra 4? Graphical and Algebraic Numeric representations of objects Powerful Commands Flexible Nice Graphical User Interface (GUI) and Easy-to- Use Java-based (GeoGebraWeb beta: HTML5 for iPad or Android platforms without Java) Large Amount of Materials (18,000+ in GGBTube) Open Source and Free

11. GeoGebra 11 1.Why GeoGebra 4?

12. GeoGebra 12 A powerful technology tool: for teachers to implement their pedagogical ideas; for students to explore and create understandings for themselves. 1.Why GeoGebra 4? 術 Technology 道 Pedagogy

13. 13 2.Exemplars of GeoGebra Tasks GeoGebra

14. 14 2.Exemplars of GeoGebra Tasks – GeoGebraTube http://www.geogebratube.org

15. GeoGebra 15 2.Exemplars of GeoGebra Tasks – EdBlog of GeoGebra Institute of Hong Kong http://edblog.hkedcity.net/geogebra

16. GeoGebra 16 2.Exemplars of GeoGebra Tasks – WLTS http://wlts.edb.hkedcity.net

17. GeoGebra 17 2.Telling Time from Clocks EdBlog -> KS1 -> Measures

18. GeoGebra 18 2.Find the Elapsed Time EdBlog -> KS1 -> Measures

19. GeoGebra 19 2. 常規四邊形的特性 EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形

20. GeoGebra 20 2. 把四邊形按邊長分類 ( 電子幾何條 ) EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形

21. GeoGebra 21 2. 把四邊形分類 EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形

22. GeoGebra 22 2. 方格紙上畫四邊形 EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形

23. GeoGebra 23 2. 探究「斜」平行四邊形的面積 EdBlog -> KS2 -> Measures

24. GeoGebra 24 2. 分數乘法 EdBlog -> KS2 -> Number

25. GeoGebra 25 2. 分數除法：均分 EdBlog -> KS2 -> Number

26. GeoGebra 26 2. 分數除法：包含 EdBlog -> KS2 -> Number

27. GeoGebra 27 2.Area of Circles EdBlog -> KS3 -> Measures, Shape and Space

28. GeoGebra 28 2.Graphing Linear Equations EdBlog -> KS3 -> Number

29. GeoGebra 29 2.Circumcircle of a Triangle EdBlog -> KS3 -> Measures, Shape and Space

30. GeoGebra 30 2.Incircle of a Triangle EdBlog -> KS3 -> Measures, Shape and Space

31. 31 3. Hands-on Workshop GeoGebra