The experience is, most often, an activity designd or chosen by the teacher with the intention of engaging the student(s) in a stimulating, mathematically rich environment within which the students can construct their mathematical understandings.
In mant ways the success of the students' constructions depend on their engagement through experience, so the teacher's role becomes one of designing, leading and releasing the students into mathematically rich experiences.
Franco Saliola wrote:
> On Fri, 28 Apr 2000, Jon Roberts wrote: > > > Experience > > Investigate <---> Conjecture > > Believe > > Prove > > Jon, > > Can you elaborate on the first step? I agree with you on the other three, > but I do not know what you mean by "Experience". > > Thanks, > Franco Saliola