I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent..

The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers..

Cardinal arithmetic will be quite important for us, so we spend some time on it. Since, however, it tends to be trivial, we shall not need to spend m….

Some of the justifiable critiques has been by - been so successful in telling this story, you know, there's a danger of saying, oh, well, you know, w….

What makes it possible to learn advanced math fairly quickly is that the human brain is capable of learning to follow a given set of rules without un….

I saw the first one [video with Hans Rosling ] when he did - I think it was his first one - in 2006, a TED Talk. And for the first time in my life, I….

Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures an….

Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than….

Indeed, nowadays no electrical engineer could get along without complex numbers, and neither could anyone working in aerodynamics or fluid dynamics..

The linear-programming was - and is - perhaps the single most important real-life problem..

In addition to its use in arithmetic and science, the Hindu-Arabic number system is the only genuinely universal language on Earth, apart perhaps for….

We mathematicians are used to the fact that our subject is widely misunderstood, perhaps more than any other subject (except perhaps linguistics)..

Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than ….

Given the brief - and generally misleading - exposure most people have to mathematics at school, raising the public awareness of mathematics will alw….

In fact, when you try to use [Hans Rosling] data to predict the future, all sorts of problems arise. But what it does do is say, hey, just catch your….

In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty y….

Sure, some [teachers] could give the standard limit definitions, but they [the students] clearly did not understand the definitions - and it would be….

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typ….

The human brain finds it extremely hard to cope with a new level of abstraction. This is why it was well into the eighteenth century before mathemati….

Hans Rosling typically would go into the room, and he would ask the audience questions. Often they had to answer them with clickers or raising their ….

I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their ….