Non-Euclidean Geometry

I wanted to talk about something a little different this week. I have noticed that many of the state standards now ask teachers to show students the differences between Euclidean and Non-Euclidean Geometry. Non-Euclidean Geometry is an interesting way to help students see the many aspects of math. When I have taught these concepts I find that students are very interested in Non-Euclidean Geometry and have a renewed sense of excitement as the subject is being taught.

I have compiled a list of useful websites to help you think about how to add Non-Euclidean Geometry into your lessons. Enjoy and please add to the list if you find any more interesting sites.

I found a very useful website describing Non-Euclidean Geometry called What is Non-Euclidean Geometry? This may be a great place for students to start their explorations.

Spherical Geometry is a grea! t way to introduce students to Non-Euclidean Geometry. The Geometry of a Sphere website has an extensive table of contents that goes through many topics related to Spherical Geometry. I also found a Spherical Geometry Demo that is a great visual and interactive representation of Spherical Geometry. For those of you looking for an in-class activity check out the Earth Geometry Lesson. For students that are really interested in the topic teachers can discuss the Spherical Pythagorean Theorem.

You may also branch out to Hyperbolic Geometry and I recommend a great applet to start off the discussion.

Enjoy these great websites and please continue to share your finds.

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