America ranks 21st when it comes to math education. We rank 25th when it comes to science. We used to be number one in the proportion of college graduates. We now rank ninth. And at an age where knowledge, skills, are the determinant of how successful we're going to be, unless we reverse that we're going to keep slipping behind economically to a lot of other countries.
Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting. I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too.
There is an astonishing imagination, even in the science of mathematics. ... We repeat, there was far more imagination in the head of Archimedes than in that of Homer.
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.
Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.
But the creative principle resides in mathematics. In a certain sense, therefore, I hold true that pure thought can grasp reality, as the ancients dreamed.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.