Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

Can you make a hypothesis to explain these ancient numbers?

Can you decode the mysterious markings on this ancient bone tool?

A introduction to how patterns can be deceiving, and what is and is not a proof.

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

This article explores the process of making and testing hypotheses.

Can you find the values at the vertices when you know the values on the edges?

When does a pattern start to exhibit structure? Can you crack the code used by the computer?

This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?