Why do this
problem?
This
problem provides a great environment in which to discuss the
meaning of words related to position, for example touching,
overlapping (some children have added "underlapping"), inside and
outside.
Possible approach
You may decide to use real rings (perhaps wooden or plastic),
or you could ask children to make some rings as part of the task,
maybe out of pipe cleaners.
You could introduce the task in a large space outside, or in
the school hall, using P.E. hoops, for example. You could lay out
two hoops and ask the children to describe what they see. By asking
a child to place two hoops in a different way, and talking about
this as well, you will begin to build up useful vocabulary. You can
then set children off on investigating other ways. You
may need to address how they are keeping track of the different
combinations - perhaps they could draw each, or there may be enough
equipment to keep each one once it is made.
As a plenary, you could invite a pair of children to describe
an arrangement and encourage everyone else to try to draw or make
it.
Key questions
What could you do if one of your rings was
bigger/smaller?
How would you describe the two rings?
Questions could well arise in a discussion about these sets of
two pairs, for example, and whether any are the same or different,
and why.
Possible extension
Take the pupils onto the activity
3
Rings.