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.
There are kids don't want to do something because they're afraid of looking stupid to their peers. There comes a time when they start protecting themselves, instead of extending. I want to make sure that they're always trying to extend themselves.
If you have any young friends who aspire to become writers, the second-greatest favor you can do them is to present them with copies of The Elements of Style. The first-greatest, of course, is to shoot them now, while they're happy.
Some people read so little they have rickets of the mind.
I believe that every child in this world needs to have a relationship with the land...to know how to nourish themselves...and to know how to connect with the community around them.
I think it's very uncomfortable for people to talk to children about war, and so they don't because it's easier not to. But then you have young people at eighteen who are enlisting in the army, and they really don't have the slightest idea what they're getting into.
Continued adherence to a policy of compulsory education is utterly incompatible with efforts to establish lasting peace.
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