Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
I added together some of my neighbours house numbers. Can you explain the patterns I noticed?
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
This article looks at how models support mathematical thinking about numbers and the number system
Read this riddle and see if you can work out how the trees must be planted.
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.
Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
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,. . . .
Dotty Six is a simple dice game that you can adapt in many ways.
Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?
First or two articles about Fibonacci, written for students.