A local instructional theory for the guided reinvention of the quotient group concept

摘要

In this paper we describe a local instructional theory for supporting the guided reinventionof the quotient group concept. This local instructional theory takes the form of a sequenceof key steps in the process of reinventing the quotient group concept. We describe thesesteps and frame them in terms of the theory of Realistic Mathematics Education. Each stepof the local instructional theory is illustrated using example instructional tasks and eithersamples of students' written work or excerpts of discussions.