Many problems need to percolate in your unconscious in this way.You need to cultivate a good supply of back burners, and just get in the habit of not solving problems.He was a prodigy, and as a teenager, he solved a problem that had been unsolved since Hellenistic times.
Well, what little Gauss did was to pair the terms, the beginning term and the end term, (1 100); and then the second term and the next to last term, (2 99); and then (3 98); (4 97); and so on down to (50 51).
Each of those pairs adds up to 101, and there are 50 such pairs. This is called Gaussian pairing and is an example of a powerful and useful tool.
For example, if it involves square roots, remove them temporarily.
What you should keep in mind is strategy and tactic is what makes someone a good problem solver, not the tools.
Interesting problems will force you to become a better concentrator.
Art And Craft Of Problem Solving
To build both your confidence and creativity, you need to be disciplined about using those interesting problems.
To break the mathematical rules, we need a healthy dose of the 3 C’s.
Concentration, creativity, and confidence are psychological attributes that are important for just about everything, but they’re vital for solving problems. All three of them are linked, but confidence is the least important of the three because it’s truly derived from the other two.
As your concentration ability increases, and if your creativity gets stronger, then you’ll naturally become more confident. Make sure they’re interesting and then you’ll think about them.
Learn more about thinking like a problem solver To master concentration, you must set aside a quiet time and place for your work. You need to develop good work habits, and you need to find problems to concentrate on that are interesting to you, approachable by you, and addictive. In order to build up your concentration, you want to build up from level 1, which is a minute or so of concentration, at least to level 3, getting up to an hour. If you can find a problem that’s exciting to you, that annoys you, that sort of gnaws at you, then you’ll think about it.