Why do this problem?
This activity is a very simple investigation which allows for
many levels of participation. There are those youngsters who can
use three different sized rings and just "play around" with them.
This provides a wonderful basis for most useful discussion as to
the positioning of each of the three rings and their physical
relationship to each other. Children who go about it more
systematically seem to have great enjoyment in the systems that
they use. These two groups have to deal with the fact that some
arrangements may 'look' very different but in the context of this
challenge are equivalent. This again leads to very worthwhile
discussion.
Possible approach
I usually provide the
children with just two different sized rings and have the third one
as an imaginary one that they can alter the size of for their own
use, each time.
Key questions
How would you talk about
this ring?
What is this ring
doing?
Possible extension
The more advanced
youngsters who have no problems with the "look" and can "see"
equivalent situations are usually able to go through the activity
fairly quickly and are soon asking "I wonder what would happen if
... they were squares . . . the rings were all the same size. . .
?"
For the
highest-attaining
What if there were four
of the rings?
Possible support
Having an adult working
with a small group so as to help the language to flow can sometimes
be very effective.