Helen Joyce interviews the neuropsychologist Brian Butterworth whose research has shown that we are all born with a "built-in" sense of cardinal number.

Once a basic number sense has developed for numbers up to ten, a strong 'sense of ten' needs to be developed as a foundation for both place value and mental calculations.

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

Marion Bond suggests that we try to imagine mathematical knowledge as a broad crazy paving rather than a path of stepping stones. There is no one right place to start and there is no one right route. . . .

This article for teachers suggests teaching strategies and resources that can help to develop children's number sense.

Marion Bond recommends that children should be allowed to use 'apparatus', so that they can physically handle the numbers involved in their calculations, for longer, or across a wider ability band,. . . .

Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?

Matching Numbers game for an adult and child. Can you remember where the cards are so you can choose two which match?

Can you find different ways of showing the same number? Try this matching game and see!

Surprise your friends with this magic square trick.

Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?

As I was going to St Ives, I met a man with seven wives. Every wife had seven sacks, every sack had seven cats, every cat had seven kittens. Kittens, cats, sacks and wives, how many were going to St. . . .

Can you go through this maze so that the numbers you pass add to exactly 100?

This article for pupils explores what makes numbers special or lucky, and looks at the numbers that are all around us every day.

This article looks at how models support mathematical thinking about numbers and the number system

This article for the young and old talks about the origins of our number system and the important role zero has to play in it.

Calendars were one of the earliest calculating devices developed by civilizations. Find out about the Mayan calendar in this article.

Read all about Pythagoras' mathematical discoveries in this article written for students.

When you think of spies and secret agents, you probably wouldn’t think of mathematics. Some of the most famous code breakers in history have been mathematicians.