Creating Your Own Problems: Tips and Guidelines

[symplectic_manifold]

They say the best way to develop and train problem solving skills is by creating one's own problems.

I'm still a "passive" problem solver but I'd like to learn solving problems in an "active" way.

Could you give me some advice, name some guidelines on how to create new, own problems?

Thanks in advance.

 

[Kino]

Try getting a job.

 

[mikeley]

Try looking at these books:

1) Mathematics and Plausible Reasoning by G. Polya
2) How to Solve It by G. Polya

 

[tongos]

Some types of problems that i create and jog my brain are
1) pigeonhole principle problems
2) strategy problems
3) number theory problems (remainders, in-my-head multiplication)
*algebra problems don't seem to stimulate (move this number to the other side isn't really thinking)
I find that thinking in groups really helps my problem solving abilities
If you go to your local bookstore
you'd probably be able to find...
1) Math Olympiad Challenges
2) Number Theory (part of the Dover Collection)