Find out about Magic Squares in this article written for students. Why are they magic?!
This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to. . . .

If you'd like to know more about Primary Maths Masterclasses, this is the package to read! Find out about current groups in your region or how to set up your own.

Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
Proof does have a place in Primary mathematics classrooms, we just need to be clear about what we mean by proof at this level.

Use the information about the ducks on a particular farm to find out which of the statements about them must be true.

In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?

An investigation that gives you the opportunity to make and justify predictions.

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?