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
When I was growing up, I knew I wanted to be a mathematician, but I had no idea what that entailed.
Interpretation
The quote reflects a journey of self-discovery and the uncertainties that accompany choosing a career path.
Terence Tao's quote highlights the experience of recognizing one's passion from a young age, paired with the realization that understanding what it truly means to pursue that passion is a complex journey. It emphasizes that having a dream is just the beginning; the understanding and subsequent steps required to achieve that dream unfold over time, revealing both challenges and opportunities.
In practice
In a motivational speech to students about pursuing their dreams.
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.
If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.
The true felicity of a lover of books is the luxurious turning of page by page, the surrender, not meanly abject, but deliberate and cautious, with your wits about you, as you deliver yourself into the keeping of the book. This I call reading.
The main difference in the effectiveness of teaching comes from the thoughts the teacher has had during the entire time of his or her existence and brings into the classroom. A teacher concerned with developing humans affects the students quite differently from a teacher who never thinks about such things.
At one year of age the child says his first intentional wordhis babbling has a purpose, and this intention is a proof of conscious intelligenceHe becomes ever more aware that language refers to his surroundings, and his wish to master it consciously becomes also greater.Subconsciously and unaided, he strains himself to learn, and this effort makes his success all the more astonishing.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils.
When I went to law school, which after all was back in the dark ages, we never looked beyond our borders for precedents. As a state court judge, it never would have occurred to me to do so, and when I got to the Supreme Court, it was very much the same. We just didn't do it.
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