## Packages

This teacher package is devoted to the number line and the two major classes of numbers it's divided into: rational numbers, which can be written as fractions, and irrational numbers, which are everything else.

Stephen Hawking turned 70 in January 2012 and to celebrate, the University of Cambridge put on a scientific conference as well as a public symposium. *Plus* went along, of course, and here are the articles and podcast we have produced from the conferences. Happy reading and listening!

Is there such a thing as free will? In everyday life we all assume that there is: it's up to you whether you cheat in your tax return, and if you're caught, well then you deserve punishment. But when you look at it from a physics view point free will becomes a little tricky. Here's a collection of articles exploring free will.

While away the days to Christmas with these Plus favourites. Now, what's behind today's door...

How many universes are there? What has made us into who we are? Is there absolute truth? These are difficult questions, but mathematics has something to say about each of them. It can probe the physical reality that surrounds us, shed light on human interaction and psychology, and it answers, as well as raises, many of the philosophical questions our minds have allowed us to dream up. On this page we bring together articles and podcasts that examine what mathematics can say about the nature of the reality we live in.

Game theory is a great way of sneaking up on maths. You can start off playing an actual game, then start thinking about strategies, and before you know it you're doing proper maths, either conceptually or using equations and formulae. In this teacher package you'll find all our articles on game theory.

*Science fiction, science fact*project brings you articles and podcasts exploring the nature of time.

One of the first bits of school maths that gives us a real glimpse of infinity are infinite series: those never-ending sums that may nevertheless add up to a finite number. For this teacher package we've brought together all our articles on these beautiful objects.