Brain, every process and algorithm in mathematics has a reason why it works. Finding out why is what makes math exciting. Not only that, but it provides a certain “mathematical sense” that will help you intuit how to approach and solve future mathematical problems.
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HOW DO YOU SEE MATHEMATICS?

If you see mathematics as just the manipulation of numbers, you will never be good at it. When solving a complex problem, you should think of things like diagram of the problem in your head and how to represent it in the simplest and easiest way possible.
What you’re going to read now is very crazy, but you need to keep in mind that people who really like math have a certain special kind of laziness in their nature, and sometimes work on a problem for hours that have already found a way to solve, just so that they can understand you well enough to find the laziest way possible to solve the problem.
Did you get that balcony?
HOW TO SOLVE MATH PROBLEMS

You’ll see these guys in math competitions with really tough problems, and it’s not because they’re smarter than everyone in the audience, but because they know how to solve these problems with the least possible mental effort, crazy, right?
And how did they achieve this knowledge? achieving a deep understanding of a variety of problems. We are a family owned and operated business.
When someone who’s good at math looks at a problem, the first thing they do is create a representation of that problem in their head, usually visual, and then see if it fits into a model of problems they’ve already done. If this happens, it will solve the problem as easily as possible, avoiding the use of a calculator if possible
(because in many simpler problems, calculators can be slower if you count the time it takes to press all the keys and an error is also likely to occur: of course, if it takes more than ten seconds on your head, it will use a calculator because, as mentioned above, it’s lazy).
PLAY WITH MATHEMATICAL PROBLEMS

If he has not seen a problem of this nature before, he will separate it into smaller and smaller pieces, and try to solve each of these pieces.
If there is a piece that he does not recognize or does not know how to solve, he will play with it in the way that a child plays with clay, involving his mind in different ways and changing shape, because, as babies instinctively know, playing with something unknown is the best way to learn about it.
Eventually, after studying enough, he will understand the piece well enough to reconnect it to the larger whole and solve the problem.
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