I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
Andrew WilesRead
Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room.
Interpretation
Doing mathematics is a gradual process of understanding that moves from confusion to clarity.
In this quote, Andrew Wiles illustrates the experience of learning mathematics as navigating through dark rooms. Initially, it feels disorienting and challenging as one stumbles through the complexities. However, with persistence and time, clarity emerges, represented by finding the light switch, allowing one to see and comprehend the concepts fully. This analogy emphasizes the value of patience and incremental learning in mastering difficult subjects.
In practice
During a lecture on complex mathematical concepts, one could use this quote to illustrate the learning process.
I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
Always try the problem that matters most to you.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
I have read the Aeneid through more often than I have read any long poem.
Education must begin with the solution of the student-teacher contradiction, by reconciling the poles of the contradiction so that both are simultaneously teachers and students.
Students should not only be trained to live in a democracy when they grow up; they should have the chance to live in one today.
They are afraid of educated women. They are afraid of the power of knowledge.
The purpose of education...is to create in a person the ability to look at the world for himself, to make his own decisions.
If you read a book about school - someone else's book - you always translate it into your own school experiences. It's describing the student: he's bewildered and lost in a large crowd in a university classroom. You'll visualize that from your own experiences. So, everything you know is what you're really writing.
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