Explaining, convincing and proving

Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.

A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.

What does logic mean to us and is that different to mathematical logic? We will explore these questions in this article.

Proof does have a place in Primary mathematics classrooms, we just need to be clear about what we mean by proof at this level.

An introduction to proof by contradiction, a powerful method of mathematical proof.

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

If you think that mathematical proof is really clearcut and universal then you should read this article.

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.