(Richard Dancsi for Psychology Today)
There’s a question you hear in high schools all around the world, a question that marks yet another student giving up on math once and for all: “Why on earth are we learning something that we’ll never even use in real life?”
The question actually has some merits, because indeed, a great deal of high school math has little practical use. Computers will cover our bases for calculating percentages and plotting graphs, and the rest of the topics will only be useful for the physicist-to-be. So why do we study math at all?
“Classes aren’t supposed to teach you formulas. Math is supposed to teach you to think.
Watching Jurassic Park as a kid has a lot to do with me having a degree in mathematics now. But even in my younger years, I had to admit that the math wiz dressed in all black, together with his chaos theory blah blah, was nothing but kitsch. Mathematical kitsch is the kind of math that sounds fancy and makes great TV, but has not much use other than getting kids inspired.
Mathematics is extremely well gamified, in that you can always find a more difficult problem to solve. Even mathematicians on the highest levels, people with an Abel Prize in their pocket, will die with problems left unsolved.
This structured approach is what’s important. In class, the teacher will show a few key ideas, definitions and simple proofs. Our job is to use those building blocks and see what else follows from them, what other proofs we can unlock with their help. Solving smart puzzles is the way we’ll make use of math in real life.
They say that a smart person is wrong more intelligently than a dumb person is right.
It’s not enough to be right about something; the real deal is to be right in a way that makes sense to the person on the other side of the argument. In many ways, explaining how you got to the result is more important than the result itself.
The next time you see a problem you don’t understand or can’t solve, use the tips above. Write the question down, and keep simplifying the problem space until the problem becomes clear.
Mathematicians prefer their proofs to be elegant. “Elegant” means a proof that’s both accurate and creative, something with extra “smarts” in it. You’ll find that most mathematical proofs are structured into definitions and lemmas, which ensures that each step is simple and airtight. This makes communicating complicated ideas easier. The next time you need to make a case, structure the arguments in a way that’s easy for others to follow.
Richard Dancsi holds a master's degree in mathematics and computer science. He has built diverse software products across cultures and teams, including with Orange, IBM, and Vodafone.