One of the things I like most about math and teaching math is that there are often several different ways to get to an answer. For example, if one wanted to differentiate the square of a binomial function, one could multiply (FOIL) it out and then take the derivative, or one could use the product rule or even the chain rule. I often show students how the same answer can be arrived at in multiple ways, filling the board with several different calculations that miraculously all give the same value in the end. It is then that I am tempted to write the letters “Q.E.D.” on the board, which, as we used to joke in graduate school, is Latin for “ta da!”

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