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Domain Specific Knowledge Representation for an Intelligent Tutoring System to Teach Algebraic Reasoning

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Book cover Intelligent Tutoring Systems (ITS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7315))

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Abstract

Translation of word problems into symbolic notation is one of the most challenging steps in learning the algebraic method. This paper describes a domain-specific knowledge representation mechanism to support Intelligent Tutoring Systems (ITS) which focus on this stage of the problem solving process. The description language proposed is based on the concept of a hypergraph and makes it possible to simultaneously a) represent all potential algebraic solutions to a given word problem; b) keep track of the student’s actions; c) provide automatic remediation; and d) unequivocally determine the current state of the resolution process. An experimental evaluation with students at a public school supports the use of the ITS in practice.

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References

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Valencia, Spain

    Miguel Arevalillo-Herráez

  2. Department of Didactics of Mathematics, University of Valencia, Spain

    David Arnau

  3. Departament of Mathematics, University of Castilla la Mancha, Spain

    José Antonio González-Calero

  4. Faculty of Technology, De Montfort University, UK

    Aladdin Ayesh

Authors
  1. Miguel Arevalillo-Herráez
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  2. David Arnau
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  3. José Antonio González-Calero
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  4. Aladdin Ayesh
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Editor information

Editors and Affiliations

  1. University of Montpellier & CNRS LIRMM, 161 rue Ada, 34095, Montpellier, France

    Stefano A. Cerri

  2. NASA and Florida Institute for Human and Machine Cognition, Human Centered Computing - Intelligent Systems Division, 94035, Moffett Field, CA, USA

    William J. Clancey

  3. Department of Applied Informatics and Multimedia, Technological Educational Institute of Crete, School of Applied Technology, Stavromenos, P.O.Box 1939, 71004, Heraklion, Crete, Greece

    Giorgos Papadourakis

  4. Neoanalysis Ltd., Marni 56, 10437, Athens, Greece

    Kitty Panourgia

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© 2012 Springer-Verlag Berlin Heidelberg

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Arevalillo-Herráez, M., Arnau, D., González-Calero, J.A., Ayesh, A. (2012). Domain Specific Knowledge Representation for an Intelligent Tutoring System to Teach Algebraic Reasoning. In: Cerri, S.A., Clancey, W.J., Papadourakis, G., Panourgia, K. (eds) Intelligent Tutoring Systems. ITS 2012. Lecture Notes in Computer Science, vol 7315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30950-2_95

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  • DOI: https://doi.org/10.1007/978-3-642-30950-2_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30949-6

  • Online ISBN: 978-3-642-30950-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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