The Art And Craft Of Mathematical Problem Solving

The Art And Craft Of Mathematical Problem Solving-4
You should also, as a strategy, specifically think about peripheral vision.

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.

The more you do this, the more you’ll get into a state of investigative, purposeful contemplation, and the more powerful your mind will get.

Learn more about the psychological aspects of problem solving Let’s look at a tool made famous by Carl Gauss.

Interesting problems will force you to become a better concentrator.

To build both your confidence and creativity, you need to be disciplined about using those interesting problems.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.When he was 10, he was faced with the problem: How do you find the sum of the numbers 1 2 3 up to 100?How do you compute this in 1787 when there are no calculators?Just take a chainsaw, and chainsaw that giraffe into chunks.Then weigh the chunks.” Chainsawing the giraffe is an attitude that a good problem solver should have because you want to be fun, and you also want to be a little bit bad.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.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.

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