Problem solving

Main Question or Discussion Point

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. :smile:
 

Answers and Replies

Kino
Try getting a job.
 
7
0
Try looking at these books:

1) Mathematics and Plausible Reasoning by G. Polya
2) How to Solve It by G. Polya
 
84
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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 isnt 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)
 

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