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Background

As the quarter went by I found the work more and more easygoing. All I had to do was go to the class and do a bunch of integrals on the board. So I was lax and stopped preparing the homework problems beforehand. “After all, I don’t need to prepare for freshman integration problems” – how wrong I was!
One day we were doing surfaces of revolution. I used to do them in a different way than it was taught in the text. The textbook is very formal – they set up the problem nicely and then solve it by following a specific algorithm. I tried to do the first problem but it wasn’t very easy – I had to step back and think for five minutes before the solution came to me. To the credit of my students no one showed any sign of impatience in the meantime.