There are just a great deal of math problems where I just can't see an answer based on any properties I've memorized over the years, this mostly happens in Geometry, and I've studied college level calculus. I mean it doesn't matter how many properties I know I just cant find out how to use them creatively how do other people find a way to use this knowledge to find creative ways of solving these problems? What steps do I need to take to have the same creativity?
There's a big difference between memorizing rules/formulas and applying those rules in creative ways.
I'd say it's analogous to memorizing a joke and writing a joke.
Given that we're talking about creativity here, I'm not going to suggest that all you need to do is follow/memorize a few strategies, and then you'll possess creative problem-solving skills
Instead, I have two suggestions.
1) Read up on George Polya and what he has to say about problem solving (from an educational standpoint, he's the king)
2) Carefully review the responses in the BTG math forums. Here, you'll see some great, creative problem solving at work. The more creative problem solving you see, the better equipped you'll become.
I hope that helps.
Cheers,
Brent
