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The Relationship between Algorithmic Processes for Instruction and ...

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The Relationship between Algorithmic Processes for Instruction and Computer Models

Richard F. Schmid

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Vernon S. Gerlach Miroslav Valach

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terminology and modeling are employed in an attempt to precisely 'Computer Following the lead of many contemporary describe human algorithmic behavior.

cognitive psychologists (e.g. Anderson & Bowqer; Quillian; Simon), the component; and the structural relations of teaching and learning algorithms are cast into a systematic model. Within the model, the concepts of an algorithm's depth arnd wqidth, and the components' processing order as parallel or serial are defined and examples are presented.

The model not only maps the logical order

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even sbut also allows th-06-Tfrciency of various configurations to be calculated. Next the model's control activities are described, with special attention given to tie level of synchronization of processing units or branches as well as the corresponding gate-keeping functions. Finally, the results of two experiments are compared with the model to ascertain its Most importantly, it was found that use and retention of heuristic value algorithmic prol1em-solving strategies are best dealt with in a serial fashion. It is also hypothesized that the length of the serial string must remain short and that the algorithm must be dealt with in "chunks" rather than as a single unit. The dimension of the algorithm and the individual component's relations are casily described.within the context of the model. A re-arrangement of the semantic content of the algorithm, a variable beyond the descriptive scope of the model, is also analyzed. Again in the domain of cognitive research, it was found that the logic or familiarity of the content of the discriminators and operators has a profound effect on learning, but that neither logic nor familiarity produces differential effects along a concreteness dimension in the training stage. Finally, the beneficial nature of this modeling procedure for instructional designers is discussed. of

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