Hm, I think there is very little creativity involved in school, it is mostly solving 100 problems the same way after being told how to do it. It is when I have experimented with math myself I have been creative. But as I said, this is my experience, and I might be wrong.
I'm sorry, I meant "scholastic" problems - the problems that will not discover something new, but are there to be solved. I experimented a lot with math, tried to create new ways to get to a solution. And I never came up with something completely new, only variations of already existing formulas. But I have to admit that the more I think about this subject, the more math seems creative to me. I am still not convinced that chess skill can also be math skill and the other way around though.
I would agree insofar that logic is an offspring of math. "Math" is commonly known as taking numbers, using oporations, and getting new numbers following the rules of the oporations. Logic is commonly known as taking a statement, using an oporation, perhaps coupling it with other statements, and getting a conclusion.
Example:
1. IF "A" is true, then "B" is true.
2. "A" is true.
3. THEREFORE, "B" is true.
State spaces of chess games can be desciribed by means of symbolic representation and can show which states they can lead to.
In other words, chess is really nothing more than a logic puzzle, which is really nothing more than a math problem. The fun comes in that the scope of possibilities is too large for anyone to see all of the outcomes, introducing major inefficiencies for things like "tactics" to become useful. But as said before, chess is a math problem (specifically a dynamic program/Markov chain math problem). :-P
I agree. I was wrong when I said that chess has little to do with math, it actually has a lot if you look at it the way you did. What I actually had in mind was chess-playing itself. As I already mentioned: chess vision. Chess vision won't help you in math and math won't give you chess-vision.
By chess-vision I mean the "feeling" of the piece movement. Mathematician who doesn't play chess will have to actually look closely at the board to see which pieces move where and how and what they attack on that diagonal etc... While serious chess player (who has "chess skill") will just know.