A Stochastic Modeling of a Student's Units Coordination Activity

In this proposal, I introduce a method for modeling the dynamics of a sixth-grade student's accommodation of his fractions scheme to include a disembedding operation (Steffe & Olive, 2010). I will describe a three-part approach consisting of a constructivist teaching experiment, retrospective analysis, and stochastic modeling of the student's activity across ecologies within the teaching experiment (cf. Steffe & Thompson, 2000). As disembedding requires coordination of two levels of units--a disembedded part and an unadulterated whole (Steffe, 2001)--the results also serve as an initial model for describing the dynamics of an individual's units coordinating within and across contexts. [For the complete proceedings, see ED584443.]