Shiny Pebbles and other stuff

The problem with infinitesimals In the early development of the calculus, both Newton and Leibniz made fruitful use of infinitesimal qu...

The CGSE syllabus contains a chunk of plane geometry. Plane geometry is a Good Thing. It's a beautiful intellectual structure, an ex...

If you follow any kind of mathematical discussions on the internet, you'll probably have noticed that there's one particular top...

We all learn the standard trigonometry function addition formulae at school: \[ \begin{split} \sin(\theta+\phi) &= \sin(\theta)\cos(...

Ed Southall of the Unversity of Huddersfield ( @solvemymaths on Twitter) has written a book called "Yes, but why?...

G&oumldel's incompleteness theorem famously tells us that there are true statements about the integers which cannot be proven...

The problem of remembering Observation has led me to the conclusion that there are two very different kinds of mathematics student. ...