There were two great quotes from the math book i used last semester.
The first was the most mathematicians equate geometry with understanding. In otherwords, if you can describe (draw) a picture that represents what you are talking about, then you really understand it.
The second was that not all math is something you can visualize. In that some of the beauty of math is that it can describe things beyond humans abilities of perception, and that it is precisely in these cases that math is its most useful.
The first was the most mathematicians equate geometry with understanding. In otherwords, if you can describe (draw) a picture that represents what you are talking about, then you really understand it.
The second was that not all math is something you can visualize. In that some of the beauty of math is that it can describe things beyond humans abilities of perception, and that it is precisely in these cases that math is its most useful.