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?

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. . . .

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

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

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

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

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?

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

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.

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

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

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

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

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

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

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

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

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

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

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

Make some celtic knot patterns using tiling techniques

Make a mobius band and investigate its properties.

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

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.

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

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

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

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

A description of how to make the five Platonic solids out of paper.

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

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

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

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?

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

Here's a simple way to make a Tangram without any measuring or ruling lines.

What happens when a procedure calls itself?

Learn about Pen Up and Pen Down in Logo

Turn through bigger angles and draw stars with Logo.

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

Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?

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

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

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

This article for students gives some instructions about how to make some different braids.

Surprise your friends with this magic square trick.

Which of the following cubes can be made from these nets?