ABSTRACT
This chapter explores a few activities as means of exploring the principle of asking ‘How many ways …’ and how that freedom invites a degree of ownership over a task and releases the speculative mathematician within who is encouraged to think about what they could do as opposed to what they are supposed to do. We also point towards the playful, creative nature of mathematics as a pursuit. These are then the elements that can be used in the design and use of other tasks.
