Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Swap the stars with the moons, using only knights' moves (as on a
chess board). What is the smallest number of moves possible?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
This challenge extends the Plants investigation so now four or more children are involved.
Explore Alex's number plumber. What questions would you like to ask? What do you think is happening to the numbers?
Here are some short problems for you to try. Talk to your friends about how you work them out.
Bernard Bagnall discusses the importance of valuing young
children's mathematical representations in this article for
This article, written for teachers, looks at the different kinds of
recordings encountered in Primary Mathematics lessons and the
importance of not jumping to conclusions!