These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
A game to make and play based on the number line.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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. . . .
More Logo for beginners. Now learn more about the REPEAT command.
Learn to write procedures and build them into Logo programs. Learn to use variables.
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?
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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 a spiral mobile.
Make a clinometer and use it to help you estimate the heights of tall objects.
Follow these instructions to make a three-piece and/or seven-piece tangram.
Which of the following cubes can be made from these nets?
Make some celtic knot patterns using tiling techniques
Learn about Pen Up and Pen Down in Logo
Turn through bigger angles and draw stars with Logo.
How is it possible to predict the card?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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.
Use the tangram pieces to make our pictures, or to design some of your own!
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
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?
Write a Logo program, putting in variables, and see the effect when you change the variables.
What happens when a procedure calls itself?
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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.
Make a mobius band and investigate its properties.
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Surprise your friends with this magic square trick.
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
How can you make a curve from straight strips of paper?
A description of how to make the five Platonic solids out of paper.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
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 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?
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.
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 article for students gives some instructions about how to make some different braids.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
A game in which players take it in turns to choose a number. Can you block your opponent?
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
Make an equilateral triangle by folding paper and use it to make patterns of your own.
Can you describe what happens in this film?
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?