Thinking in Progress

Abstract : This article tells the story of 11-14 year- o l d students using a rather new and relatively untested programming system to represent and discuss some deep mathematical ideas. There is one caveat: we have chosen the episodes to indicate the possibilities that can emerge when children are given new ways to talk and think about mathematics. We cannot lay claim to any generality: we would invite the reader to look where we are pointing, not at our fingers!