I clearly remember being annoyed at one teacher I had in elementary school who wouldn't let me use my own way of solving her problems. The teacher had given us long columns of numbers to add. I went through the column, crossing off pairs of numbers that added up to 10. Then I counted the number of 10s I had, added what was left over, and voila, the correct answer! By comparison, the "keep a a running tally in your head" method seemed painful and unnecessary.
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