The Journal of Online Mathematics and Its Applications, Volume 7 (2007)
GeoGebra, Markus Hohenwarter and Judith Preiner


One important feature of GeoGebra is the possibility to export constructions as interactive web pages. These dynamic worksheets--as we call them--will usually include some questions for your students that guide them through their mathematical experiments. To use a dynamic worksheet, your students don't need GeoGebra installed on their computers. The only requirements are a web browser and Java (1.4.2 or later). For a simple example, see the dynamic worksheet on lower and upper sums of a function. More dynamic worksheets are freely available in the GeoGebraWiki.

If you are interested in creating such dynamic worksheets on your own, have a look at the document Creating Teaching Materials (pdf) or the corresponding section in the GeoGebra Help files. As an advanced user, you can turn your dynamic worksheets into interactive exercises with GeoGebra's JavaScript interface and applet parameters. This gives you tremendous flexibility and lets you create exercises with automatic feedback or exercises that are randomly generated. Try out the simple drawing fractions example, which creates a virtually unlimited number of exercises, and allows you to check your answers.

With the following examples we want to show you how GeoGebra can be used for teaching a variety of topics at different levels. Every example consists of a short explanation and an interactive applet, so you can try it out right away. If you would like to reset one of the applets to its initial state, simply click on the little icon Reset Button in the upper right corner of GeoGebra's graphics window.

Geometry and Algebra

Functions and Calculus