Used properly, I think that one can use a computer as a very valuable tool. I like Excel or a similar spreadsheet because I can do experimental math with it. Calculating/ graphing the binomial distribution using random numbers to represent coin flips, showing how the Fibbonaci series number ratios converge to the golden ratio, these can be great fun.

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If they can get you asking the wrong questions, they don't have to worry about the answers.