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
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. . . .
Make a spiral mobile.
Make a clinometer and use it to help you estimate the heights of
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
A game to make and play based on the number line.
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?
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
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.
Follow these instructions to make a three-piece and/or seven-piece
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.
This practical activity involves measuring length/distance.
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.
Can you describe what happens in this film?
Make some celtic knot patterns using tiling techniques
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Build a scaffold out of drinking-straws to support a cup of water
Make a ball from triangles!
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
This article for students gives some instructions about how to make some different braids.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Make a mobius band and investigate its properties.
Learn to write procedures and build them into Logo programs. Learn to use 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.
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.
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?
A description of how to make the five Platonic solids out of paper.
Write a Logo program, putting in variables, and see the effect when you change the variables.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
More Logo for beginners. Now learn more about the REPEAT command.
Turn through bigger angles and draw stars with Logo.
Learn about Pen Up and Pen Down in Logo
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Surprise your friends with this magic square trick.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Use the tangram pieces to make our pictures, or to design some of
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?
How can you make a curve from straight strips of paper?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.