**Using Geometer's Sketchpad ® **

**Tutorial Prepared by Armando Martinez-Cruz, California State University,
Fullerton**

Technology can make the learning of mathematics in general, and of geometry
in particular, more meaningful and enjoyable. Geometry is intrinsically
visual and computer graphics can aid in its understanding. Software such
as The Geometer's Sketchpad (GSP, Jackiw, 2001) allows one to combine visual
representations with dynamics. This dynamic component means we are able
to drag, stretch**,** and manipulate constructions without losing the geometric
properties used to make such constructions. You will find that visual
and dynamic capabilities foster exploring, investigating, solving, conjecturing,
and even posing problems in geometry. In short, you will feel like a true
mathematician while doing mathematics with dynamic software.

The goal of this module is threefold: First, to provide a basic introduction
to the dynamic geometric software, GSP**;** second, enable you to do some
basic constructions**;** and third, use the constructions and the familiarity
with the software to investigate other problems of your own interest.
The directions provided refer to the newest version of the software, version
4. We included some short comments about version 3.2 in the webmodule.
More extensive comments are at the end. All of** **these comments
will allow you to adapt the directions and complete the examples presented here.
However, it may be necessary that if you have an older version than version
4 that you read those notes to become more familiar with the version you are
using.

Getting Started

The Toolbox

Example 1 -- Constructing Segments

Example 2 -- Constructing Polygons

Example 3 -- Constructing an Equilateral Triangle

Example 4 -- Constructing a Right Triangle

Example 5 -- Constructing a Right Isosceles Triangle

Example 6 -- Constructing a Square

Example 7 -- The Pythagorean Theorem

Example 8 -- Constructing a Rectangle

Problem Set

Notes for Previous Versions

Answers