Dynamic Mathematics Software for learning and teaching

AlgebraGeometry

GeoGebra

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.

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.

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

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)

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’

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 .

Next you can see • a small film demonstrate “Thales Theorem”

using GeoGebra And• a small Film presenting how to graph a

Parabola Using GeoGebra

Thank you– Presentation prepared by the Cypriot teem

Anastasia Andreou Dimitra Agathokleous Maria Skarpari Marianna Socratous Polyvios Chrysostomou