Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

Follow these instructions to make a three-piece and/or seven-piece tangram.

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

A game to make and play based on the number line.

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Make an equilateral triangle by folding paper and use it to make patterns of your own.

Make a clinometer and use it to help you estimate the heights of tall objects.

Use the tangram pieces to make our pictures, or to design some of your own!

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

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.

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

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

Turn through bigger angles and draw stars with Logo.

What do these two triangles have in common? How are they related?

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

More Logo for beginners. Now learn more about the REPEAT command.

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

Learn about Pen Up and Pen Down in Logo

Write a Logo program, putting in variables, and see the effect when you change the variables.

Follow these instructions to make a five-pointed snowflake from a square of paper.

What happens when a procedure calls itself?

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

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

Surprise your friends with this magic square trick.

Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.

This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.

Make a mobius band and investigate its properties.

Make some celtic knot patterns using tiling techniques

Learn to write procedures and build them into Logo programs. Learn to use variables.

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

How can you make a curve from straight strips of paper?

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Here are some ideas to try in the classroom for using counters to investigate number patterns.

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.