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Group worthy. Mathematical Thinking. Questioning. Video. Enrichment. Learning mathematics. Pedagogy. Rich Tasks. Problem solving. Shape, space & measures - generally.

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Broad Topics > 2D Geometry, Shape and Space > Shape, space & measures - generally

What's Inside/outside/under the Box?

Stage: 2 and 3

This article describes investigations that offer opportunities for children to think differently, and pose their own questions, about shapes.

The Development of Spatial and Geometric Thinking: 5 to 18

Stage: 1, 2, 3 and 4

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .

En-counters

Stage: 1 and 2 Challenge Level:

This task requires learners to explain and help others, asking and answering questions.

Arranging Counters

Stage: 2 Challenge Level:

A task which depends on members of the group working collaboratively to reach a single goal.

What Shape for Two

Stage: 1 and 2 Challenge Level:

'What Shape?' activity for adult and child.

En-counters for Two

Stage: 1 and 2 Challenge Level:

Arranging counters activity for adult and child.

Arranging Cubes

Stage: 1 and 2 Challenge Level:

A task which depends on members of the group working collaboratively to reach a single goal.

What's Happening?

Stage: 1 Challenge Level:

Shapes are added to other shapes. Can you see what is happening? What is the rule?

Opening Patterns

Stage: 1 Challenge Level:

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

What Shape?

Stage: 2 and 3 Challenge Level:

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Stick Images

Stage: 2 and 3 Challenge Level:

This task requires learners to explain and help others, asking and answering questions.

Flip Your Mat!

Stage: 2 and 3 Challenge Level:

What shape and size of drinks mat is best for flipping and catching?

Horizontal Vertical

Stage: 1 Challenge Level:

Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?

Necklaces

Stage: 1 and 2 Challenge Level:

How many necklaces can you make that fit the rule? How do you know you've got them all?

L-ateral Thinking

Stage: 1 and 2 Challenge Level:

Try this interactive strategy game for 2

The Development of Spatial and Geometric Thinking: the Importance of Instruction.

Stage: 1 and 2

This article looks at levels of geometric thinking and the types of activities required to develop this thinking.

Different Sizes

Stage: 1 and 2 Challenge Level:

A simple visual exploration into halving and doubling.

The Development of Spatial and Geometric Thinking: Co-ordinating Space in Drawings

Stage: 1

This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction.

Making Maths: A-maze-ing

Stage: 2 Challenge Level:

Did you know mazes tell stories? Find out more about mazes and make one of your own.

Introducing NRICH TWILGO

Stage: 1, 2, 3, 4 and 5 Challenge Level:

We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?

Make Your Own Solar System

Stage: 2, 3 and 4 Challenge Level:

Making a scale model of the solar system

National Flags

Stage: 2 Challenge Level:

This problem explores the shapes and symmetries in some national flags.

Olympic Rings

Stage: 1 Challenge Level:

This problem is intended to get children to look really hard at something they will see many times in the next few months.