Why do this problem?
will give opportunities for pupils to develop spatial awareness as well encouraging a logial approach to solving the challenge. There is also the opportunity for pupils to explore different ways of recording.
Getting the pupils interested by talking about many children's habit in some countries of not walking on the cracks will lead well into this exploration.
Can you tell me about why you chose this route?
Can you find a different route?
How will you record what you've done?
Learners could explore what happens when the path has a right angle turn or two.
Squared paper and/or simple drawing programs may be useful.