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A more methodical approach would be to use the algorithm strategy.An algorithm is a logical, step-by-step procedure of trying solutions until you hit on the right one.This drastically reduces the number of solutions we need to try because it eliminates any unlikely ones right off the bat.
- [Narrator] What's the best route to your new job? You may not even realize it, but you are an excellent problem solver.
Each of these questions represents a problem that we sometimes face.
You need to create a triangle pyramid with the six matches in order to form four equilateral triangles.
If you did solve that problem, try to think about how the solution came to you.
As you can probably tell, that approach would take forever.
Practice College Essays - System Problem Solving
And with trial and error, you're not necessarily keeping track of what you've already done, so you could get lucky and hit on the right password early, or it could take a very, very long time.Another example of it is if you've ever done a maze and started at the end and worked your way backwards toward the beginning. What if I gave you these six matches and asked you to use them to draw four equilateral triangles? If you had trouble solving that problem, you're not alone.Most people get stuck on thinking about this problem in a two-dimensional way. The answer, though, requires you to think about the problem in three dimensions.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.Problems can be generally broken down into two categories; well-defined problems and ill-defined problems.Well-defined problems have a clear starting and ending point, such as how to make it bright in a room that's currently dark.You know exactly what you're starting with and exactly how you wanna end up.Because you face such a variety of problems each day from the simple to the complex, your brain has several different ways of solving problems. This means that you just take random guesses until something finally works.For example, imagine you're trying to log in to an email account you haven't accessed in a while.You probably didn't do a series of step-by-step arrangements of matches, and the heuristics we've talked about don't quite work.What probably happened is something called insight, which is that sudden aha moment when the solution just pops into your head.