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 education has changed over the years. In the 19th century, they taught spherical trigonometry because one of the biggest applications of mathematics was navigating the ocean. This is no longer so relevant.
Interpretation
Math education evolves to meet the needs of society and technology.
Terence Tao highlights how the focus of math education has shifted over time based on practical applications. In the 19th century, spherical trigonometry was essential for navigation, reflecting the direct relationship between mathematical concepts and real-world use. As society changes, so too must the learning of math, adapting to contemporary needs and technologies.
In practice
During a lecture on the history of education, this quote could be used to illustrate the evolution of teaching methods.
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.
To exact of every man who writes that he should say something new, would be to reduce authors to a small number; to oblige the most fertile genius to say only what is new, would be to contract his volumes to a few pages. Yet, surely, there ought to be some bounds to repetition; libraries ought no more to be heaped for ever with the same thoughts differently expressed, than with the same books differently decorated.
Voters inclined to loathe and fear elite Ivy League schools rarely make fine distinctions between Yale and Harvard. All they know is that both are full of rich, fancy, stuck-up and possibly dangerous intellectuals who never sit down to supper in their undershirt no matter how hot the weather gets.
Travel stories teach geography; insect stories lead the child into natural science; and so on. The teacher, in short, can use reading to introduce her pupils to the most varied subjects; and the moment they have been thus started, they can go on to any limit guided by the single passion for reading.
"We've devoted our lives to learning about them!" Miro said. Ender stopped. "Not from them."
English usage is sometimes more than mere taste, judgment and education - sometimes it's sheer luck, like getting across the street.
Learn as if you were not reaching your goal and as though you were scared of missing it
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