The University of Montana
Department of Mathematical Sciences

Technical report #20/2008

On the internal structure of goals and beliefs

Günter Törner
University of Duisburg-Essen (Germany)

Katrin Rolka
University of Dortmund (Germany)

Bettina Rösken
University of Duisburg-Essen (Germany)

Bharath Sriraman
The University of Montana (USA)


Abstract

The theory ‚Teaching-In-Context’ (abbreviated here as KGB), first introduced by Schoenfeld in 1998, has the objective of making the actions of a teacher in mathematics lessons rationally understandable. According to this theory, it suffices to locate the behavior as a function of the following three parameters: goals, beliefs and available teacher’s knowledge. Schoenfeld´s hypothesis implies that spontaneous alterations in the teaching trajectories can be explained through shifts in the structure of goals and beliefs. In the following we discuss a particular videoed classroom lesson with a remarkable turning point on the background of this approach.

Keywords: Beliefs; Goals; Knowledge structures; Theory of teaching

AMS Subject Classification: 97

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