One time in my pre-calc class in high school we had a substitute teacher who was incredibly pompous. He wasn't even teaching us, he just kept talking while we were trying to do our assignment and explaining how he had taken as much math as possible and the only people that took more math than him were the ones that were just theorizing about math. He was going off about how math is so fascinating because with each new level you learn that you can actually do something that your previous teachers had always told you that you couldn't do. For instance when you are learning how to do subtraction and your teacher always said that you can't subtract a larger number from a smaller number. But then later you find out that you actually

*can *subtract larger numbers from smaller numbers. Or how when you first learn square roots, you are taught that you can't take the square root of a negative number and later on come to find out you actually can. However, our substitute told us, no matter what level you get to, you will never be able to divide by zero.

I turned to him and said, "Maybe you just haven't got to that level yet."

Well said!

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