I still remember the realization in college at Flinders University in Australia that mathematics was not just an abstract game of symbols but could be used as a tool to analyze and understand the modern world.
Terence TaoRead
Math research is more like a marathon.
Interpretation
Math research requires long-term commitment and perseverance, much like a marathon race.
In this quote, Terence Tao emphasizes that engaging in math research is not just a sprint to achieve quick results, but rather a lengthy and demanding journey that entails sustained effort over time. Just as a marathon runner trains and endures for the long haul, mathematicians must be patient, persistent, and consistently work on their problems, often facing obstacles along the way.
In practice
During a seminar on mathematics, you could use this quote to illustrate the importance of sustained effort in research.
I still remember the realization in college at Flinders University in Australia that mathematics was not just an abstract game of symbols but could be used as a tool to analyze and understand the modern world.
Most students who take math classes aren't going to be mathematicians. They're going to be engineers, statisticians - in many ways, that's the more important mission of math education.
For me, I guess the main motivation is the satisfaction of finally understanding some tricky mathematical concept or phenomenon and then explaining it to others.
One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are beyond its ability.
I recall being fascinated by numbers even at age three and viewed their manipulation as a kind of game.
Talent is important, but how one develops and nurtures it is even more so.
The dream begins, most of the time, with a teacher who believes in you.
I don't care who writes a nation's laws - or crafts its advanced treaties - if I can write its economics textbooks.
It is a good thing for an uneducated man to read books of quotations. Bartlett's Familiar Quotations is an admirable work, and I studied it intently. The quotations when engraved upon the memory give you good thoughts. They also make you anxious to read the authors and look for more.
We had nothing, no television, no radio, nothing to get in the way. We read by the streetlight at the top of the lane, and we acted out the stories.
Men we shall have only as we make manhood the object of the work of the schools - intelligence, broad sympathy, knowledge of the world that was and is, and of the relation of men to it - this is the curriculum of that Higher Education which must underlie true life.
We are human behind and this part of our human nature that we don't learn the importance of anything until it's snatched from our hands. In Pakistan, when we were stopped from going to school, and that time I realized that education is very important, and education is the power for women. And that's why the terrorists are afraid of education. They do not want women to get education because then women will become more powerful.
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