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dwhile

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I had an awesome math instructor while in college named Gamal. I was in a linear algebra class with literally three other students, and at first it was a traditional lecture style class. Soon though Gamal tired of this and said "Look guys, you're going to take turns teaching these lessons". One day it was my turn to teach the lesson. I opened the textbook, started reading out of it and working an example problem on the board.

Gamal raised his hand and started asking questions about the example. I, not understanding the concepts very well, answered by reading out of the book. Gamal said "Daniel, to hell with that book. Don't tell me what the book says. Tell me what YOU know. How can we explain this with only the things we understand?"

Use what you know to figure out what you don't know. Use your own understanding instead of trying to borrow someone else's.