GeoGebra: Teaching Geometry, Algebra, and Calculus

linux.com ran an article this week about a GPL licensed application called GeoGebra. Written in Java, GeoGebra is multi-platform. From their website:

What is GeoGebra?

GeoGebra is a dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus.

On the one hand, GeoGebra is a dynamic geometry system. You can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards.

On the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum.

These two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.