Shiny Pebbles and other stuff

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. ...

It seems that I'm not alone in my experience of students not presenting (or appreciating) the logical structure of a mathematical a...

I've been marking a lot of (first year undergraduate) coursework lately, and I'm been a fairly significant amoun...

We all know that an important ingredient in the solutions of the quadratic equation \begin{equation} \label{quad} ax^2...

No, of course the quadratic formula isn't incorrect. If you want the solutions to the equation \begin{equation} ax^2 + bx + c = 0 \la...