What do you see as you watch this video? Can you create a similar video for the number 12?

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

Dotty Six is a simple dice game that you can adapt in many ways.

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

I added together some of my neighbours house numbers. Can you explain the patterns I noticed?

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

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

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

Using balancing scales what is the least number of weights needed to weigh all integer masses from 1 to 1000? Placing some of the weights in the same pan as the object how many are needed?

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.

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

This article for teachers describes how number arrays can be a useful reprentation for many number concepts.

Read this riddle and see if you can work out how the trees must be planted.