Geoemter's Sketchpad is a dynamic geometrical software, letting teachers use computers to demonstrate and visualize mathematics concepts to students. Usually, in traditional teaching about geometry, students will use paper and pencil to learn and teacher will use chalk and blackboard to teach geometry. Because of its dynamic exploration property, Sketchpad can be used to explore mathematics subjects such as algebra, geometry, trigonometry, calculus, even science. Especially, it allows for dynamic explorations in geometry so that students can see the changes in the figures when they manipulate them. When Using GSP software with computers like an electronic blackboard, students can instantly and dynamically draw points, angles or lines, experience the dynamic change of geometrical concepts, and construct the mathematical understanding form their exploring without wasting to redraw figures to calculate and compare them. |

**What is Dynamic Geometry?**A
research project, funded by NSF

**Examples of using GSP in mathematics**

- Explore the total degree of interior angles in a triangle; and find the final conclusion Visualize the degrees of the interior angles and the sum.
- The following are two lesson plans using GSP software to demonstrate mathematics concepts and visualize these abstract concepts in graphics. If you do not have GSP software, you can download a demo version here.

- Sketchpad Gallery: More files of GSP
- 15 samples of GSP files
- Discover the properties of a triangle's medians
- Algebra and Calculus Sketches from The Math Forum : explore linear formula, parabola, etc. through GSP
- Explore Slop and Intercept
- The Geometer's Sketchpad Three Labs
- Maximum Volume & Area with the Geometer's Sketchpad
- Introduction of Vector by using GSP
- An Example of using GSP in physics: projectile path

- Lesson Plans Using GSP
- Lesson Plans for the Geometer's Sketchpad
- Teachers in-service program for GSP: Introduce and teach teachers how to technologically use GSP
- The Geometer's Sketchpad Introductory Lab: Help teachers become accustomed to using the Geometer's Sketchpad
- Dynamic Geometry with Geometer's Sketchpad: Step-By-Step Instructions
- The Geometer's Sketchpad in the Classroom for Teachers
- Dynamic Geometry Module: What Is Dynamic Geometry?
- The Geometer's Sketchpad Sketches from Key

Java Sketchpad is a software/language that lets teachers and students can manipulate and interact instantly via internet without GSP software. Teachers can use Java Sketchpad to demonstrate geometrical concepts and works published to Internet for students without special software except browsers (like IE 5.0, Netscape 4.0 later). Teachers can integrate this kind of examples for students into their mathematics curriculum in order to provide students' more hand on experience and activities to experience mathematical concepts in person. See the site of Java Sketchpad for more details.

- Example: A puzzle proof of the Pythagorean Theorem Explanation
- More examples in other sites Annie's Sketchpad Activities

Java Applet is a kind of computer language that can let users design dynamic figures. It is like the function of Java sketchpad. Hence, Teachers can find some useful applet files in some web sites from Internet. It does not matter that teachers are not able to use this computer language. They can find them and then integrate them into their instruction and curriculum, providing students to have more opportunities to learn, more hand-on experiences to manipulate to view the dynamic mathematical concepts in order to enhance their understanding. Please see the following examples.

- Example 1: The Sum of Outer Angles of a Polygon
- Example 2 Problem of Angles and Parallel Lines
- Example 3: Histogram and Statistics
- Applet examples for mathematics teachers/students: There are so many mathematical applets for students and teachers to manipulate in front computers through internet. In addition, some applets can be downloaded into your computers.
- Java Applets of Graphing Calculators
- Java Applets for Statistics: The Globally Accessible Statistical Procedures initiative is designed to make statistical routines easily available via the WWW.
- Java Applets for Statistics and Probability

**Others**

- For more resources on dynamic geometry, visit Geometry Forum.
- The Geometer's Sketchpad Introductory Lab: http://mathforum.org/sketchpad/intro/gsp.introlab.html
- The Geometer's Sketchpad Math Forum Classroom Resources
- The Geometer's Sketchpad Classroom Resources on the Web

- Euclid, Fibonacci, and Sketchpad: by Dan Litchfield and Dave Goldenheim with support from Charles H. Dietrich
- Teacher to Teacher: Geometry Projects Linking Mathematics, Literacy, Art, and Technology
- Transformational Geometry from Multiple Perspectives: David Bannard, Betsey Wood, Pat Burchfield, and Chris Harrow
- Bibliography for Geometry (Teaching)
- Articles from Eric
- Bibliography of GSP from Keypress