Compare and contrast the following news clip and the fable in the chapter opening on page 2 with your own experiences in learning mathematics.

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Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. One goes into the first room and it's dark, completely dark. One stumbles around bumping into the furniture, and then gradually you learn where each piece of furniture is, and finally after six months or so you find the light switch. You turn it on suddenly it's all illuminated! You can see exactly where you were.