Wednesday, October 11, 2006

Using a 2300 year old textbook

Today I am starting to look at the results of the first test I give each year on Euclid's Book I in Honors Geometry, covering Theorems 1-29. I am always surprised at how foreign the worldview of Euclid is to the average teenager. When I first encounted Euclid, I found a world that made sense, a world where someone had taken care of most of the details, a world where someone remembered what he had JUST SAID and didn't have to repeat himself. I made myself at home and tried to make my teaching like his.

When students find Euclid confusing I have to remind myself that to them, looking at things logically may look like just one more "alternative lifestyle," albeit one that most of them would prefer to leave unexplored and unpondered. When I push them headlong over the "Asses Bridge" (Thm 5, or the Isoceles triangle theorem, the first one proven using congruent triangles) most of them have only a vague idea where the road will lead them. By the time we get to theorem 24 or 25, I have kids start to say "I'm getting this!" in a cautiously optimistic way.

It is awesome to use a textbook that has rarely been out of use somewhere in the world for the last 2300 years. Apparently preserved by Muslims during the middle ages, it was the staple of architect, lawyer, doctor and carpenter alike throughout history, teaching them not only the properties of parallelograms but how to reason clearly and how to argue a case and how to solve problems no one had ever thought of.

I always tell kids we have the Muslims to thank for preserving the text of Euclid and even for adding valuable commentary. But I also make sure to tell them that Muslim contributions to science pretty much ended before the European Rennaisance. And though the Muslims preserved the ancient Greek and Latin classics, the development of modern scientific thinking was not intitiated or brought to fruition by Muslims, but by Christians and Jews generally. So much for the false dichotomy between religion and science. But all alike were inspired by the work of the Master Euclid.

Monday, October 09, 2006

First Post

Feeling kind of behind the eight ball today. Got up too early and wasn't ambitious enough. Ended up reading too many blogs and not getting enough work done.

My wife is very good at encouraging me lately. That hasn't always been the case, but she seems to have the grace for it at the present, thank God. I am still standing at 8:30 thanks to her picking up the sophmore doing the Monday library run.

Slowly getting through Lewis Carrol's Euclid and His Modern Rivals. After a few years of beginning my Honors Geometry class with Book I of the Elements (yes, raw Euclid) I am interested to see how other teachers have taught this stuff down through the ages. I am especially interested in source of problems to be given students between the theorems. Would they increase student understanding and confidence, or merely bog down the relentless push to I.47 and I.48?

Yes I am a math teacher at a private school in Western Twin Cities of Minnesota. I am in my 21st year of teaching and ready to "give back to the community" so to speak. I think my next post might be about the new NCTM Curriculum Focal Points just released. But first I have to read them.