A description of how to make the five Platonic solids out of paper.
Which of the following cubes can be made from these nets?
What happens when a procedure calls itself?
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 a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Make a ball from triangles!
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.
Turn through bigger angles and draw stars with Logo.
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.
Make a clinometer and use it to help you estimate the heights of tall objects.
More Logo for beginners. Now learn more about the REPEAT command.
A game to make and play based on the number line.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
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. . . .
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.
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?
It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?
Make some celtic knot patterns using tiling techniques
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
How is it possible to predict the card?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Follow these instructions to make a three-piece and/or seven-piece tangram.
Make a spiral mobile.
Make an equilateral triangle by folding paper and use it to make patterns of your own.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Build a scaffold out of drinking-straws to support a cup of water
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Can you describe what happens in this film?
Learn to write procedures and build them into Logo programs. Learn to use variables.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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.
This article for students gives some instructions about how to make some different braids.
As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?
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.
Here's a simple way to make a Tangram without any measuring or ruling lines.
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
How can you make a curve from straight strips of paper?
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
Use the tangram pieces to make our pictures, or to design some of your own!
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Did you know mazes tell stories? Find out more about mazes and make one of your own.
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?