The purpose of this study was to propose an instructional activity model through discussions on how to integrate the findings of educational technology and methods from knowledge engineering in the realization of a computer simulation of both. The resulting model is designed to be applied to the teacher training field. Teacher knowledge functions are explained in terms of cognitive decision making processes which consider the efficiency and understandability in teaching. The model is based upon three types of knowledge. (1) Knowledge about such behavioral series as teaching plans, scenarios for explaining mathematical concepts, processes corresponding to mathematical thinking, special situation instructional routines, and teaching behaviors. (2) A knowledge of the rules for decision making which apply to both monitoring and meta schema. (3) Knowledge related to teacher models which outline various teacher characteristics. The latter of these is concerned with domain knowledge of subject areas and student models, and plays an important role in explaining differences among teachers.
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