A Quote by Carl Jung
The teacher pretended that algebra was a perfectly natural affair, to be taken for granted, whereas I didn't even know what numbers were. Mathematics classes became sheer terror and torture to me. I was so intimidated by my incomprehension that I did not dare to ask any questions.
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Instead of five hundred thousand average algebra teachers, we need one good algebra teacher. We need that teacher to create software, videotape themselves, answer questions, let your computer or the iPad teach algebra... The hallmark of any good technology is that it destroys jobs.
It is very hard to tell when I started to be a spiritual teacher. There was a time when occasionally somebody would come and ask me questions. One could say at that point I became a spiritual teacher, although the term did not occur to me then.
I think William Shakespeare was the wisest human being I ever heard of. To be perfectly frank, though, that's not saying much. We are impossibly conceited animals, and actually dumb as heck. Ask any teacher. You don't even have to ask a teacher. Ask anybody. Dogs and cats are smarter than we are.
He was a man who was charged with the work he did in life because he was not one to ask questions — not so much on account of any natural quality of discretion as because he simply could never think of any questions to ask.
The theory of numbers is particularly liable to the accusation that some of its problems are the wrong sort of questions to ask. I do not myself think the danger is serious; either a reasonable amount of concentration leads to new ideas or methods of obvious interest, or else one just leaves the problem alone. "Perfect numbers" certainly never did any good, but then they never did any particular harm.
One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any problem that is discussed. This gives students the idea that there is a book somewhere with all the right answers to all of the interesting questions, and that teachers know those answers. And if one could get hold of the book, one would have everything settled. That's so unlike the true nature of mathematics.
I'm not a prophet or a teacher, I just ask questions. I don't think a writer should be a teacher, but should know how to pose the questions and explain the problems.
I ask myself questions that journalists don't dare to ask or don't know how to ask.
I didn't know what kinds of questions to ask in mathematics. In physics, I could see there were things that were known and things that weren't.
When I was 19, I was in a horrific car accident, and it taught me that at the end of our life, we ask all these questions. And my questions, I discovered, were: Did I really live my life? Did I love? Did I matter? And I was unhappy with the answers.
To those of us who often procrastinate on the decision we feel intimidated by lack of education or any area of weakness. I relieve you with this statement: It is not how much you know that arms you with the tools of great decision making, but rather how much you ask. Ask questions.
The lock-step approach of algebra, geometry, and then more algebra (but rarely any statistics) is still dominant in U. S. schools, but hardly anywhere else. This fragmented approach yields effective mathematics education not for the many but for the few primarily those who are independently motivated and who will learn under any conditions.
At three, I fell in love with numbers. It was sheer ecstasy for me to do sums and get the right answers. Numbers were toys with which I could play.
I like science and mathematics. When I say mathematics, I don't mean algebra or math in that sense, but the mathematics of things.
I became a teacher all right. I wanted to become a teacher because I had a misconception about it. I didn't know that I'd be going into - when I first became a high school teacher in New York, that I'd be going into a battle zone, and no one prepared me for that.
Gel'fand amazed me by talking of mathematics as though it were poetry. He once said about a long paper bristling with formulas that it contained the vague beginnings of an idea which could only hint at and which he had never managed to bring out more clearly. I had always thought of mathematics as being much more straightforward: a formula is a formula, and an algebra is an algebra, but Gel'fand found hedgehogs lurking in the rows of his spectral sequences!
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