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.
We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?
Can you make a hypothesis to explain these ancient numbers?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
When does a pattern start to exhibit structure? Can you crack the code used by the computer?
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 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?
This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?
Two video clips of classes organised into groups to work on Counting Cogs.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?