Why do this problem?
Like so many investigations, this
one is like a journey through a wood, where we encourage children to keep all their senses alert. As I've suggested in the introduction to this challenge there are a number of things you can explore. The activity could be done by those who have a good enquiring mind using a trial and
improvement method. It has spatial and numerical possibilities and it would be very valuable for you to tease out from children the ways in which they imaged the whole process.
I think that presenting it as written, talking it through with learners, will be adequate and there should be opportunities for the pupils to ask further questions before trying to form solutions.
Are you happy with the way that it folds?
How are you making sure the numbering is ok?
If the solutions have been recorded in some kind of 4 by 4 table - as one is shown in the problem - then the properties of that table can be explored.
For the exceptionally mathematically able
These pupils can look at the different ways in which the orginal large shee can be folded in order to give the $16$ pages. If solutions are found for each and every way of folding then the arrangement of the numbered pages onthe $A3$ sheet will need to be explored and relationships notes. Further work can then be done on producing 32 pages from the original sheet and the investigation
followed in the same way.
Some pupils will need help with getting into the physical understanding of the problem - for these pupils an already folded sheet may come in useful.