Cai and empirical explorations of deductive proof construction

Abstract

Deductive proof checking programs are the most popular form of logic CAI. Whatever the reason for their widespread use, the proliferation and continuous development of these programs is evident. Contemporary proof checkers cover a wider variety of texts and rule sets, and offer more helpful editing, diagnostic, and remedial features than were once provided. These programs appear to be prime candidates for developing in the direction of "intelligent" CAI (ICAI). The primary thrust of ICAI is to build programs that make use of information about learner strengths and weaknesses, the content of the subject matter being taught, and techniques for teaching various kinds of subject matter. This is a tall order by any standard, but there are signs that some initial progress is being made in the area of logic CAI. In particular, the expert system approach for offering strategic advice during proof construction is being explored by some projects.

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