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Here's Feynman's take on learning algebra: Around that time my cousin, who was three years older, was in high school. He was having considerable difficulty with his algebra, so a tutor would come. I was allowed to sit in a corner while the tutor would try to teach my cousin algebra. I'd hear him talking about x. I said to my cousin, “What are you trying to do?” He says, “I'm trying to find out what x is, like in 2x + 7 = 15,” I say, “you mean 4.” He says, “Yeah, but you did it with arithmetic. You have to do it by algebra.” I learned algebra, fortunately, not by going to school, but by finding my aunt's old schoolbook in the attic, and understanding the whole idea was to find out what x is – it didn’t make any difference how you do it For me, there was no such thing as doing it “by arithmetic,” or doing it “by algebra.” “Doing it by algebra” was a set of rules which, if you followed them blindly, could produce the answer: “subtract 7 from both sides; if you have a multiplier, divide both sides by the multiplier,” and so on – a series of steps by which you could get the answer if you didn't understand what you where trying to do. The rules had been invented so that the children who have to study algebra can all pass it. And that’s why my cousin was never able to do algebra.” (from What Do You Care What Other People Think?) (Video: https://www.youtube.com/watch?v=VW6LYuli7VU) |