In junior high, my friend Jeannie was baffled when the math teacher said "show your work". Jeannie had a natural talent for math, and didn't have to work hard at the stuff we did in 8th grade. She would look at a problem and understand it in her head. No calculations needed, apparently. Some teachers suspected her of cheating. (As if she'd be foolish enough to copy a lesser person's answers). I showed her what I did, working it out on paper the way we were taught back in 3rd grade. "Oh, they want us to do it the hard way!" she said.
Linda D. publishes excerpts from her semiautobiographical memoirs.
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