That teacher needs an ass-kickin’.
I’m a math major. I graduate in 2004. People shy away from me at parties. I feel I should get that out of the way first.
Then I want to point this out:
Mathematics and arithmetic are intimately related, but they are two different skills. Addition, subtraction, multiplication, algebra, etc-- that’s mainly arithmetic. Our brains aren’t really structured for that. Adding long columns of numbers is very difficult. Memorizing times tables-- difficult. Even people who are “mathematically talented” have problems with this. I’ve yet to get anything less than an A- in a math class, but when it comes to calculating that 18% tip in my head, I’m hopeless. I have to give it to my partner who, thanks to years of scoring bowling games, can do that kind of thing.
Drop the arithmetic. That’s really not the whole story of mathematics. It doesn’t take a knowledge of complex numbers and recursive functions to see the beauty in fractals. The first time I fell in love with math was NOT when I learned how to partial integration or calculate eigenvalues. It was when I first understood the proof of the irrationality of the square root of two. It is a basic proof by contradiction, but what got to me was the simplicity and elegance of a logic that built its case step-by-step, drawing to an inescapable conclusion. that is mathematics, one of the most beautiful and easily the most useful language we have for explaining the universe.
A mathematician is like a musician in that it takes hard work, lots of practice, a patience for boredom & repetition and wonderful teachers to get to where you want to go. And like music, there are those moments when everything pays off-- creating the perfect proof is not unlike finding the perfect riff. It’s a pity that we are obsessed with how hard scales are when really, it’s the music we should be listening to.