One of my guiding principles as a math teacher, as I articulate in this TEDx talk, is to provide students with tools and opportunities to create with mathematics. Few things are as aligned with that principle as well as Geogebra, the free, open-source, dynamic geometry environment.

I’ve integrated a lot of Geogebra work in my Geometry class this year. I use Geogebra assignments to assess basic geometric skills, to connect old ideas to new, and to explore geometry dynamically.

But much like geometry itself, once you master a few elementary rules in Geogebra, you can create amazing and beautiful works of mathematics.

Below is an example of some wonderful student work from this year. After an introduction to polygons, students were given two simple ideas for creating new objects from polygons: constructing diagonals and extending sides. I gave students some technical tips on how to color and polish their final products, and invited them to be creative. As usual, they did not disappoint.

Students, and teachers, need more opportunities to create with mathematics. We’re fortunate to have technologies like Geogebra that offer us those opportunities.

**Related Posts**

- Patrick Honner’s TEDx Talk
- Curvefitting with Geogebra
- How Many Circles Pass Through Two Given Points?