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 had not expected 'A Brief History of Time' to be a best seller. It was my first popular book and aroused a great deal of interest. Initially, many people found it difficult to understand. I therefore decided to try to write a new version that would be easier to follow.
False taste is always busy to mislead those that are entering upon the regions of learning; and the traveller, uncertain of his way, and forsaken by the sun, will be pleased to see a fainter orb arise on the horizon, that may rescue him from total darkness, though with weak and borrowed lustre.
You can't stop a teacher when they want to do something. They just do it.
You don't teach morals and ethics and empathy and kindness in the schools. You teach that at home, and children learn by example.
He who opens a school door, closes a prison.
A child who is protected from all controversial ideas is as vulnerable as a child who is protected from every germ. The infection, when it comes- and it will come- may overwhelm the system, be it the immune system or the belief system.
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