Generation and Use of Hints and Feedback in a Hilbert-Style Axiomatic Proof Tutor-Reference-Cited by-同舟云学术

Generation and Use of Hints and Feedback in a Hilbert-Style Axiomatic Proof Tutor

Published:2020-11-06 Issue:1 Volume:31 Page:99-133
ISSN:1560-4292
Container-title:International Journal of Artificial Intelligence in Education
language:en
Short-container-title:Int J Artif Intell Educ

Author:

Lodder Josje^ORCID,Heeren Bastiaan,Jeuring Johan,Neijenhuis Wendy

Abstract

AbstractThis paper describes logax, an interactive tutoring tool that gives hints and feedback to a student who stepwise constructs a Hilbert-style axiomatic proof in propositional logic. logax generates proofs to calculate hints and feedback. We compare these generated proofs with expert proofs and student solutions, and conclude that the quality of the generated proofs is comparable to that of expert proofs. logax recognizes most steps that students take when constructing a proof. Even if a student diverges from the generated solution, logax still provides hints, including next steps or reachable subgoals, and feedback. With a few improvements in the design of the set of buggy rules, logax will cover about 80% of the mistakes made by students by buggy rules. The hints help students to complete the exercises.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Education

Link

http://link.springer.com/content/pdf/10.1007/s40593-020-00222-2.pdf

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