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.
In many countries, they do not even keep track of how girls are doing in school, or if they are there at all. If we say, 'Girls count,' then we must count girls, so we can see if we are really making progress in educating every girl.
The normal curve is a distribution most appropriate to chance and random activity. Education is a purposeful activity and we seek to have students learn what we would teach. Therefore, if we are effective, the distribution of grades will be anything but a normal curve. In fact, a normal curve is evidence of our failure to teach.
Basic education links the children, whether of the cities or the villages, to all that is best and lasting in India.
High school teachers who want to get reluctant readers turned around need to give the students some say in the reading list. Make it collaborative: The students will feel ownership, and everyone will dig in.
If you do a job where someone tells you exactly what to do, they will find someone cheaper than you to do it. And yet our schools are churning out kids who are stuck looking for jobs where the boss tells them exactly what to do.
Sometimes it seems the only accomplishment my education ever bestowed on me was the ability to think in quotations.
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