“Arithmetic and number theory study patterns of number and counting. Geometry studies patterns of shape. Calculus allows us to handle patterns of… — Keith Devlin Copy Share Image
I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent. — Keith Devlin Copy Share Image
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as… — Keith Devlin Copy Share Image
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with… — Keith Devlin Copy Share Image
Outside observers often assume that the more complicted a piece of mathematics is, the more mathematicians admire it. Nothing could be further… — Keith Devlin Copy Share Image
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system.… — Keith Devlin Copy Share Image
Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have… — Keith Devlin Copy Share Image
Given the brief - and generally misleading - exposure most people have to mathematics at school, raising the public awareness of mathematics… — Keith Devlin Copy Share Image
The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers. — Keith Devlin Copy Share Image
The increased abstraction in mathematics that took place during the early part of this century was paralleled by a similar trend in… — Keith Devlin Copy Share Image
A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation. — Keith Devlin Copy Share Image
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only… — Keith Devlin Copy Share Image
What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the… — Keith Devlin Copy Share Image
For all the time schools devote to the teaching of mathematics, very little (if any) is spent trying to convey just what… — Keith Devlin Copy Share Image
The human brain finds it extremely hard to cope with a new level of abstraction. This is why it was well into… — Keith Devlin Copy Share Image
Cardinal arithmetic will be quite important for us, so we spend some time on it. Since, however, it tends to be trivial,… — Keith Devlin Copy Share Image
The completion of a rigorous course in mathematics - it is not even necessary that the student does well in such a… — Keith Devlin Copy Share Image
What makes it possible to learn advanced math fairly quickly is that the human brain is capable of learning to follow a… — Keith Devlin Copy Share Image
The linear-programming was - and is - perhaps the single most important real-life problem. — Keith Devlin Copy Share Image
I saw the first one [video with Hans Rosling ] when he did - I think it was his first one - in 2006,… — Keith Devlin Copy Share Image
“Arithmetic and number theory study patterns of number and counting. Geometry studies patterns of shape. Calculus allows us to handle patterns of motion. Logic… — Keith Devlin Copy Share Image
I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent. — Keith Devlin Copy Share Image
Hans Rosling typically would go into the room, and he would ask the audience questions. Often they had to answer them with clickers or… — Keith Devlin Copy Share Image
Some of the justifiable critiques has been by - been so successful in telling this story, you know, there's a danger of saying, oh,… — Keith Devlin Copy Share Image
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the… — Keith Devlin Copy Share Image
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their heartfelt… — Keith Devlin Copy Share Image
In fact, we tend to think things have been getting much worse. In fact, over the last 50 years, almost everything in the world… — Keith Devlin Copy Share Image
In fact, when you try to use [Hans Rosling] data to predict the future, all sorts of problems arise. But what it does do… — Keith Devlin Copy Share Image
Outside observers often assume that the more complicted a piece of mathematics is, the more mathematicians admire it. Nothing could be further from the… — Keith Devlin Copy Share Image
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math… — Keith Devlin Copy Share Image
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![“In fact, when you try to use [Hans Rosling] data…” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/1a8/keith-devlin-19829_arise_in-fact-when-you-try-to-use-hans-rosling_1084549.jpg)