ABSTRACT
This chapter could well have been entitled ‘Dancing the Structural Dance’. Such a name would at once acknowledge that this contribution and the work of Glasersfeld point to individuals using their own structures in shaping their experience and using that experience reflectively to change or shape their structures. It would also point to the continuing interplay between the personal actions of the individual and the variety of occasions, and constraints from those occasions, in the environment of experience. In this chapter this structural dance will involve individuals, their teacher, their peers and all the elements of a community as each member of the community brings forth a piece of a mathematical world with others.
