This challenge for the children enables most children to pursue
their understanding of fractions. They really do need a lot of
paper, or similar aid, however I have found that the most important
aspect of their needs is to have time . . . . time to think and
reflect. There has been very long periods of silence as children
just consider the sizes of the fractions into which they have
folded their [chocolate] paper. 
<p>When children have done this in two's then good discussions have
taken place and when an adult is there listening you get a good
insight into the ways that those children think and image
fractions. When the adult is in an intervening role then questions
like,</p>
<ol>
<li>"Tell me about this....?" pointing to one of their fraction
pieces;</li>
<li>"What size do you think it is....?" intoned in an enquiring way
rather than an accusing way;</li>
<li>and then just simply asking "Why?" in response to the answer
for b; may lead to an amazing growth in those children's
understanding of fractions.</li>
</ol>
<p>When using this with a group of average 9,10 or 11 year olds ,
and so as to give access to many more children I have started off
with just 2 tables and ten children. This also makes it appropriate
for the able children at the top end of Key Stage 1. Judgments can
then be made as to whether to invite the children to go on to using
3 tables.</p>