Mathematical reasoning and proof lie at the heart of both school and university curricula, serving as the means by which learners move from concrete examples to general, abstract understanding.

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 ...

Researchers at Colorado State University are exploring how non-verbal communication could be leveraged by faculty to reach educational goals and support individual learning around abstract math ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

A Japanese mathematician claims to have solved one of the most important problems in his field. The trouble is, hardly anyone can work out whether he's right Sometime on the morning of August 30 2012, ...

What is pure mathematics? What do pure mathematicians do? Why is pure mathematics important? These are questions I’m often confronted with when people discover I do pure mathematics. I always manage ...