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

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 1.Introduction to GeoGebra 4 GeoGebra

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?

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

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

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

GeoGebra 8 1.Installing GeoGebra 4

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

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

GeoGebra 11 1.Why GeoGebra 4?

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 2.Exemplars of GeoGebra Tasks GeoGebra

14 2.Exemplars of GeoGebra Tasks – GeoGebraTube

GeoGebra 15 2.Exemplars of GeoGebra Tasks – EdBlog of GeoGebra Institute of Hong Kong

GeoGebra 16 2.Exemplars of GeoGebra Tasks – WLTS

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

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

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

GeoGebra 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

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

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

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

GeoGebra 分數乘法 EdBlog -> KS2 -> Number

GeoGebra 分數除法：均分 EdBlog -> KS2 -> Number

GeoGebra 分數除法：包含 EdBlog -> KS2 -> Number

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

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

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

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

31 3. Hands-on Workshop GeoGebra