Originally Posted by

**TKHunny** You're missing the major point of the teaching of Geometry. It isn't just to draw pretty pictures or poke holes in your paper. It is to teach you to THINK LOGICALLY and SYSTEMATICALLY. It is the PROOF that is most beneficial in teaching this. The most important realization, in my opinion, is that there are many ways to think, but many of those ways do not result in logical and consistent results. For those not disposed toward Linear Thinking, it is your chance to learn this foreign language. Many a geometry student has groused and sputtered at the course as it is the first they have encountered where memorization and repetition simply are not sufficient. The student must learn to THINK!

I believe you have exposed your admitted impediment with mathematics. Linear Thinking is a foreign language to you. Maybe that is where you should begin your studies. Stop trying to dive into things that don't make natural sense to you (translating problems into algebra expressions). Stop trying to do easy things that interest you ("perimeter and area of shapes...more important to me"). Find a High School geometry book and do EVERY PROOF in the book! This is likely to give you the background you are missing. You must learn to THINK DIFFERENTLY than you do. If you have a desire to learn anything of mathematics, the most important thing, in my opinion, is to learn to think linearly. I am NOT saying that you should abandon how you normally think. Just learn that at times in your life, the linear and logical path will be of more benefit to you than any other kind of thinking. Whatever your natural style of thinking, please bring it with you, but do not for a moment believe that just one way of thinking will do.

Having said that, let's recall this:

You are surprised at my working simultaneously in literature and in mathematics. Many people who have never had occasion to learn what mathematics is confuse it with arithmetic and consider it a dry and arid science. In actual fact it is the science which demands the utmost imagination. One of the foremost mathematicians of our century says very justly that it is impossible to be a mathematician without also being a poet in spirit. It goes without saying that to understand the truth of this statement one must repudiate the old prejudice by which poets are supposed to fabricate what does not exist, and that imagination is the same as “making things up”. It seems to me that the poet must see what others do not see, and see more deeply than other people. And the mathematician must do the same.

— Sofia Kovalevskaya

** End of Philosophy Lesson **