Maths Problem Solving Techniques

If you do get stuck on a problem, you can let it incubate, or just sit in your mind while you're not really thinking about it. It's like when you're trying to think of the name of that actor in a movie you saw, but it only comes to you later that night after you thought you stopped thinking about it.

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And that creates another group of subproblems, which you solve one at a time, usually starting with the biggest one. Now, with means-end analysis, we were trying to work from our current state toward our goal state.

With working backwards however, you start with your goal state and use it to suggest connections back to your current state.

What probably happened is something called insight, which is that sudden aha moment when the solution just pops into your head.

Insight is tricky, it's hard to predict, and harder to encourage, particularly when you're fixated on seeing a problem from the same ineffective perspective.

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- [Narrator] What's the best route to your new job? You may not even realize it, but you are an excellent problem solver.

Just a few seconds ago, you figured out how to start this video, and that may not feel like a huge accomplishment compared to, say, coming up with the theory of relativity, but every time you engage in an action or thought pattern to move from your current state toward a goal state, you're solving a problem.

For example, you probably made a password out of familiar number combinations, so you might try something that includes your birthday or something else that stands out in your mind.

This drastically reduces the number of solutions we need to try because it eliminates any unlikely ones right off the bat.

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Comments Maths Problem Solving Techniques

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