If you are fascinated by the structure of the Approaching Midnight game, you could look at what happens if you use numbers or counters instead of a clock.
Can you generalise the structure of this game?
|What did you have to do to be able make connections between the clocks, counters and numbers?
What did you have to do to be able to generalise?
What was it about 'playing around' that helped you to generalise?