Educational Studies in Mathematics, Vol. 94, No. 1 (January 2017), pp. 37-54 (18 pages) This paper reports the results of an international comparative study on the nature of proof to be taught in ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

Though pictures are often used to present mathematical arguments, they are not typically thought to be an acceptable means for presenting mathematical arguments rigorously. With respect to the proofs ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

There's a simple way to learn geometry over the summer. It is easy and fun. Imagine Euclidean geometry: the video game. If your experience in high school geometry was anything like mine, it probably ...