GeoGebra is dynamic mathematics software that can be used for free to learn and teach algebra, geometry, calculus, statistics, and more interactively in 2D and 3D. It can be downloaded on computers, tablets, and iPhones. Users can explore math concepts interactively, as well as access free classroom materials and share their own creations online. The document provides examples of using GeoGebra to demonstrate geometric concepts like Thales' theorem and algebraic concepts like graphing parabolas.

1. Dynamic Mathematics Software
for learning and teaching
AlgebraGeometry
GeoGebra

2. What is GeoGebra
• Dynamic Mathematics Software.
• Useful for learning and teaching mathematics
at all levels of education.
• Joins interactive 2D and 3D geometry, algebra,
tables, graphing, calculus and statistics.

3. Why GeoGebra?
• It is an open source software, freely available.
• Allows interactive exploration.
• It is available for desktop computer, for tablet
and for iphones.
• Makes mathematics more amusing.

4. Getting Started
• Download GeoGebra for free, on your iphone,
tablet or desktop from
www.geogebra.org
• You can also find free classroom material and
share your own on
www.geogbratube.org

5. First default screen of GeoGebra
Choose the corresponding Perspective from the Perspectives
menu depending on what you would like to use GeoGebra for
(e.g. Geometry, Algebra, Statistics)

6. Example of using Geogebra
in Geometry
• Demonstrate the intercept theorem-“Thales theorem”
If two or more parallel
lines are intersected by
two intersecting lines,
then the rations of the
line segments of the first
intersecting line is equal
to the ration of the
corresponding line
segment of the second
intersection line.
AB BC AC
------ = ------ = -----
A’B’ B’C’ A’C’

7. Example of using Geogebra
in Algebra
• Parabola
•Geometrically a parabola is a two- dimensional, mirror-
symmetrical curve, which is approximately U -shaped .
•Algebrically it's given by the formula y=ax^2 + bx + c.
•The vertical line that slpits the parabola in two equal
parts is called the “axis of symmetry”.
•The point on the axis of symmetry that intersects the
parabola is called “vertex” and it is the point where the
curvature is either max or min .

8. Next you can see
• a small film demonstrate “Thales Theorem”
using GeoGebra
And
• a small Film presenting how to graph a
Parabola Using GeoGebra

9. Thank you
– Presentation prepared by the Cypriot teem
Anastasia Andreou
Dimitra Agathokleous
Maria Skarpari
Marianna Socratous
Polyvios Chrysostomou