PROOF GRANULARITY AS AN EMPIRICAL PROBLEM?

Marvin Schiller; Christoph Benzmüller

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Paper

PROOF GRANULARITY AS AN EMPIRICAL PROBLEM?

Topics: Assessment Software Tools; Computer-Aided Assessment; Intelligent Tutoring Systems

In Proceedings of the First International Conference on Computer Supported Education - Volume 1: CSEDU, 350-354, 2009 , Lisboa, Portugal

Authors: Marvin Schiller ¹ and Christoph Benzmüller ²

Affiliations: ¹ German Research Center for Artificial Intelligence (DFKI), Germany ; ² International University in Germany, Germany

Keyword(s): Proof tutoring, Granularity, Machine learning.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence and Decision Support Systems ; Assessment Software Tools ; Computer-Aided Assessment ; Computer-Supported Education ; e-Learning ; Enterprise Information Systems ; Information Technologies Supporting Learning ; Intelligent Tutoring Systems ; Learning/Teaching Methodologies and Assessment

Abstract: Even in introductory textbooks on mathematical proof, intermediate proof steps are generally skipped when this seems appropriate. This gives rise to different granularities of proofs, depending on the intended audience and the context in which the proof is presented. We have developed a mechanism to classify whether proof steps of different sizes are appropriate in a tutoring context. The necessary knowledge is learnt from expert tutors via standard machine learning techniques from annotated examples. We discuss the ongoing evaluation of our approach via empirical studies.

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Paper citation in several formats:

Schiller, M. and Benzmüller, C. (2009). PROOF GRANULARITY AS AN EMPIRICAL PROBLEM?. In Proceedings of the First International Conference on Computer Supported Education - Volume 1: CSEDU; ISBN 978-989-8111-82-1; ISSN 2184-5026, SciTePress, pages 350-354. DOI: 10.5220/0002159603500354

@conference{csedu09,
author={Marvin Schiller. and Christoph Benzmüller.},
title={PROOF GRANULARITY AS AN EMPIRICAL PROBLEM?},
booktitle={Proceedings of the First International Conference on Computer Supported Education - Volume 1: CSEDU},
year={2009},
pages={350-354},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002159603500354},
isbn={978-989-8111-82-1},
issn={2184-5026},
}

TY - CONF

JO - Proceedings of the First International Conference on Computer Supported Education - Volume 1: CSEDU
TI - PROOF GRANULARITY AS AN EMPIRICAL PROBLEM?
SN - 978-989-8111-82-1
IS - 2184-5026
AU - Schiller, M.
AU - Benzmüller, C.
PY - 2009
SP - 350
EP - 354
DO - 10.5220/0002159603500354
PB - SciTePress