Abstract

This paper describes a procedural means for designing computer-assisted instructional (CAI) systems called Unobtrusive Problem Solving Monitors (UPSM'S) which (1) monitor students solving multi-step problems and (2) offer useful, pertinent advice to the student based on the prior student input history. These systems represent a conceptual advance over earlier types of systems in that they allow students to enter intermediate results of their problem solving activity, yet also allow them to discover and correct any errors in these results without unsolicited prompting from the system. At the same time, they can offer specific advice generated from a student's intermediate results whenever requested. These features allow students to obtain the benefits of problem solving in an unhindered, unguided fashion, yet allow them to request help when it is needed. This paper also outlines a prototype UPSM system that has been implemented in the area of plane geometry. This implementation incorporates a problem solver that solves portions of the problems under consideration while generating structured, verbalized descriptions of the solution process which are used as sources of incremental advice for the student. Because the problem solver attempts to extend lines of reasoning started by the student, the advice that is generated allows the geometry UPSM to adapt its responses to a variety of student input histories.

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