Love it or loathe it, there is no escape: mathematics is out there. We live in a world that is in some sense mathematical - although in precisely what sense is still hotly debated by mathematicians, physicists, philosophers and others. We are, as a result, innately mathematical beings. Crossing the road, catching a ball, stacking the dishwasher: in our everyday lives we are constantly, unconsciously, manipulating numbers, assessing shapes, calculating position, geometry and motion. We are doing maths.