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Handling Errors in Mathematical Formulas

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4053))

Abstract

In tutorial systems, effective progress in teaching the problem-solving target is frequently hindered by expressive sloppiness and low-level errors made by the student, especially in conventionalized expressions such as formulas. In order to improve the effectiveness of tutorial systems in teaching higher-level skills, we present a fault-tolerant formula interpreter that aims at finding plausibly intended, formally correct specifications from student statements containing formal inaccuracies. The interpretation consists of local changes based on categorization of errors, a fault-tolerant structure building, and testing contextually-motivated alternations. The error interpretation component is intended to enhance the analysis component of a tutorial system that teaches mathematical proving skills.

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References

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© 2006 Springer-Verlag Berlin Heidelberg

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Horacek, H., Wolska, M. (2006). Handling Errors in Mathematical Formulas. In: Ikeda, M., Ashley, K.D., Chan, TW. (eds) Intelligent Tutoring Systems. ITS 2006. Lecture Notes in Computer Science, vol 4053. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11774303_34

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  • DOI: https://doi.org/10.1007/11774303_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35159-7

  • Online ISBN: 978-3-540-35160-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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