Using
in Learning and Teaching of
Mathematics
Anthony Or
Education Infrastructure Division
Education Bureau
7 Nov 2012
1
GeoGebra
Using GeoGebra 4 in Learning and
Teaching of Mathematics
1. Introduction to GeoGebra 4
2. Exemplars of GeoGebra Tasks
3. Hands-on Workshop
2
GeoGebra
1. Introduction to GeoGebra 4
3
GeoGebra
1. What is GeoGebra?


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 easyto-use package
4
GeoGebra
1. What is GeoGebra?

Two Representations in Graphics and Algebra Views
Undo/Redo
Toolbar
Graphics
View
Spreadsheet
View
Algebra
View
Input Field
5
GeoGebra
1. What is GeoGebra?

Toolboxes
Movement and Lines
Selection and Vectors Polygons
Points
Special
Lines
Conics
Action
Transformations Objects
Circles Measurements
and Arcs
General
Special
Objects:
Text, Image,
Probability
Calculator,
Function
Inspector
6
GeoGebra
1. What is GeoGebra?

Tools in a Toolbox
7
GeoGebra
1. Installing GeoGebra 4
http://www.geogebra.org
8
GeoGebra
3. Introduction to GeoGebra –
Installing GeoGebra
Update your ver. automatically
Run in USB drive
without installation
Recommended
Run in browser
without installation
9
GeoGebra
1. Why GeoGebra 4?







Graphical and Algebraic Numeric representations
of objects
Powerful Commands
Flexible
Nice Graphical User Interface (GUI) and Easy-toUse
Java-based (GeoGebraWeb beta: HTML5 for iPad
or Android platforms without Java)
Large Amount of Materials (18,000+ in GGBTube)
Open Source and Free
10
GeoGebra
1. Why GeoGebra 4?
11
GeoGebra
1. Why GeoGebra 4?
A powerful technology tool:
 for teachers to implement their pedagogical
ideas;
 for students to explore and create
understandings for themselves.
術
道
Technology Pedagogy
12
GeoGebra
2. Exemplars of GeoGebra Tasks
13
GeoGebra
2. Exemplars of GeoGebra Tasks –
GeoGebraTube
http://www.geogebratube.org
14
GeoGebra
2. Exemplars of GeoGebra Tasks –
EdBlog of GeoGebra Institute of Hong Kong
http://edblog.hkedcity.net/geogebra
15
GeoGebra
2. Exemplars of GeoGebra Tasks –
WLTS
http://wlts.edb.hkedcity.net
16
GeoGebra
2. Telling Time from Clocks
EdBlog -> KS1 -> Measures
17
GeoGebra
2. Find the Elapsed Time
EdBlog -> KS1 -> Measures
18
GeoGebra
2. 常規四邊形的特性
EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形
19
GeoGebra
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
20
GeoGebra
2. 把四邊形分類
EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形
21
GeoGebra
2. 方格紙上畫四邊形
EdBlog -> KS1 or KS2 -> Shape and Space -> 2S4 3S2 四邊形
22
GeoGebra
2. 探究「斜」平行四邊形的面積
EdBlog -> KS2 -> Measures
23
GeoGebra
2. 分數乘法
EdBlog -> KS2 -> Number
24
GeoGebra
2. 分數除法：均分
EdBlog -> KS2 -> Number
25
GeoGebra
2. 分數除法：包含
EdBlog -> KS2 -> Number
26
GeoGebra
2. Area of Circles
EdBlog -> KS3 -> Measures, Shape and Space
27
GeoGebra
2. Graphing Linear Equations
EdBlog -> KS3 -> Number
28
GeoGebra
2. Circumcircle of a Triangle
EdBlog -> KS3 -> Measures, Shape and Space
29
GeoGebra
2. Incircle of a Triangle
EdBlog -> KS3 -> Measures, Shape and Space
30
GeoGebra
3. Hands-on Workshop
31