NQT Inspiration Day: Nurturing Creative Problem Solvers - Summer 2015 event in Cambridge. EYFS and Key Stage 1 resources used on the day.

We have been exploring what mastering mathematics in the context of problem solving means to us at NRICH.

NQT Inspiration Day: Nurturing Creative Problem Solvers - Summer 2015 event in Cambridge

This advent calendar contains twenty-four tasks for the run-up to Christmas, each one encouraging mathematical creativity.

Becoming a mathematical problem solver really is the point of doing mathematics, so this article offers ideas and strategies to ensure that every lesson can be a problem solving lesson.

An outline of 'Everyday Maths', a project run by Bristol University, working with parents of Year 3/4 children.

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

My coat has three buttons. How many ways can you find to do up all the buttons?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

Anyone should be able to make a start on any of these resources. They are our favourites because they really get you thinking mathematically.

The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

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

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Can you hang weights in the right place to make the equaliser balance?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

What two-digit numbers can you make with these two dice? What can't you make?

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

A task which depends on members of the group noticing the needs of others and responding.

A task which depends on members of the group noticing the needs of others and responding.

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

This is our collection of favourite mathematics and sport materials.

Here you can read about the one-day conference held in Haringey in October 2015, which was entitled 'Mastering Mathematics and the new Primary Curriculum'.

This feature outlines aspects to consider to create a space in which problem solving can flourish.

The focus of this feature is to show that every lesson can be a problem solving lesson.

Can you find the chosen number from the grid using the clues?

These tasks focus on developing key problem-solving skills: visualising, working backwards, reasoning logically, conjecturing, working systematically, looking for patterns, and trial and improvement.

Whether you are reflecting on the mathematical developments children have made over the year, or thinking about activities for a transition day this article offers plenty of ideas and tasks to. . . .

This professional development activity encourages you to investigate how rich tasks and problem solving link together.

This is activity 1.1 in the series of activities designed to support professional development through integrating rich tasks. This activity looks specifically at what makes an activity "rich".

The features on this page are linked to the three aims of the National Curriculum - number fluency, reasoning and problem solving.