I know that anyone that comes across this will most likely find it a bit on the boring side. I get that. I'm not trying to build an audience here, I gave up on that dream long ago. At the same time, what I am going to say, I believe has relevance. I believe it is important. I believe that it borders on essential. And so I write it, not thinking that it is a statement that will sweep the nation or the educational system or even the 5 people I know online. I write it instead, as an actual exercise in thinking, which is the core topic of this post. So I encourage you to read it, to think about it, and to communicate with me about it, not for social media hype, but for community and dialogue and for thinking...
Geometry
The longer I teach Geometry, the more I believe that the real purpose of Geometry is not how to find angles and identify shapes and compare congruent triangles... No. All of those things are secondary to, what I believe is, or ought to be, the real purpose of a Geometry Course. Don't get me wrong, all of those things, along with slopes of lines and right triangle trigonometry and the surface area of spheres is all important: amazingly, exceptionally, actually important. The more technical our world gets, the more these things are drastically important. And even if I go another way with Geometry... the "Geometry in Construction" way, which is another course that I teach, these things are still really, really important. Houses still need to be built with the proper pitch of the roof. Rafters need to be cut, doorways need to be square, and floors need to be level. Again... all important stuff... but... But the longer I teach Geometry, the more I believe that the real purpose of Geometry is not necessarily any of these things. The real purpose may be... ought to be... probably should be or at least could be... how to think.
I guess that if I am going to talk about this topic in this format, I should probably attempt to accomplish a few things in this "talk". I most likely need to say something about the need for our youth to be taught how to think. You wouldn't think that this would need an explanation, but it might. From there I should try to show you why I think that the Geometry classroom is the proper delivery vessel for students to be taught how to think... I think. Let's start with the need for thinking by thinking about thinking, you think?
