Of all the intellectual faculties, judgment is the last to mature. A child under the age of fifteen should confine its attention either to subjects like mathematics, in which errors of judgment are impossible, or to subjects in which they are not very dangerous, like languages, natural science, history, etc.
If I'm teaching girls that do love to make cookies and do love fashion - that they can use math as a part of that - you think that's me saying, come on girls you belong in the kitchen, you belong shopping? Or, do you think it's me showing them how math is part of all their life, even the part they thought it had nothing to do with?
My freshman year of high school I joined the chess and math clubs.
I was just kind of doing the math.
With English literature, if you do a bit of shonky spelling, no one dies, but if you're half-way through a maths calculation and you stick in an extra zero, everything just crashes into the ravine.
You live your life between your ears.
Superstar lawyers and math whizzes and software entrepreneurs appear at first blush to lie outside ordinary experience. But they don't. They are products of history and community, of opportunity and legacy. Their success is not exceptional or mysterious. It is grounded in a web of advantages and inheritances, some deserved, some not, some earned, some just plain lucky - but all critical to making them who they are. The outlier, in the end, is not an outlier at all.
When you could discern a real threat from everything else, it was called caution. When you couldn't, it was called paranoia. . . . You cannot separate paranoia from knowledge. The more you know, the more possibilities you see. The more possibilities you see, the more possibilities someone else sees. The more "someones" there are, the more "they" there are. It's a matter of simple math before you realize that They might not like you.
I want every math teacher to know math. I want every science teacher to have expertise in science. I want them to know how to inspire and engage young people.
When I got to college, I planned to be a math major, and, in addition to signing up for some math courses, I decided to take some philosophy. Quite by chance, I took a philosophy of science course in which the entire semester was devoted to reading Locke's Essay. I was hooked. For the next few semesters, I took nothing but philosophy and math courses, and it wasn't long before I realised that it was the philosophy that really moved me.
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions are true, and that there is no direct relation between the truth of a proposition and its probability. Probability begins and ends with probability.
Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other's work.
A play that works well and is done quite a lot - I've never done the math - but it's probably more remunerative than a movie.
On A Beautiful Mind, there was a wall of math.
You can't argue with math, Carter. You'll always lose.
. . . She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays.
Archimedes constructing his circle pays with his life for his defective biological adaptation to immediate circumstances.
If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact and existence? No. Commit it then to the flames: for it can contain nothing but sophistry and illusion.
We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
Math and science fields are not the only areas where we see the United States lagging behind. Less than 1 percent of American high school students study the critical foreign languages of Arabic, Chinese, Japanese, Korean or Russian, combined.