skip to main content
10.1145/384101.384128acmconferencesArticle/Chapter ViewAbstractPublication PagesissacConference Proceedingsconference-collections
Article

Diagnosing and correcting student's misconceptions in an educational computer algebra system

Published:01 July 2001Publication History

ABSTRACT

Using powerful Computer Algebra programs for mathematics education has been steadily gaining popularity, regardless of inherent user-unfriendliness exhibited by such systems. Algebrator [4, 5] is a CAS specifically designed to teach high-school algebra. Despite its limited domain (or may be because of it), it has proven to be useful to students requiring mastery of basic algebra skills. Algebrator's CA engine is but a small part of the whole system; larger portion of it deals with the way in which the system as an electronic tutor engages the student in the learning process. In this paper we will focus on Algebrator's error diagnostic capability and teacher-directed generation of appropriate remedial tutoring sessions.

References

  1. 1.BEESON, M. Logic and computation in MATHPERT: an expert system for learning mathematics. In Computer and Mathematics (1989), pp. 202-214. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2.BROWN, J., AND BURTON, R. Diagnostic models for procedural bugs in basic mathematics. Cognitive Science 2 2, 155-192.Google ScholarGoogle ScholarCross RefCross Ref
  3. 3.BUCHBWRGER, B. Should students learn integration rules? ACM SIGSAM Bull. 24 (1990), 10-17. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.JURKOVIC, N. An intelligent tutor for high-school algebra. In Proceedings of 1987 A CM Fifteen Annual Computer Science Conference (February 1987), ACM, pp. 27-31. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.JURKOVIC, N. An expert system for teaching pre-college algebra. In Proceedings of the 17th IASTED International Conference on A I (February 1999), IASTED, pp. 372-329.Google ScholarGoogle Scholar
  6. 6.LICHTENBERGER, F. Self-explanatory symbolic computation for math education. SIGSAM Bulletin 18, 4 (1984), 23-24. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.NICAUD, J. APL USIX - un systeme expert de resolution pedagogique d ' exercises d ' algebre. University of Paris XI, Paris, France, 1992.Google ScholarGoogle Scholar
  8. 8.NICAUD, J., AND SAIDI, M. Explanation of algebraic reasoning : the APL USIX System. Springer-Verlag, New York, 1989. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. 9.SLEEMAN, D. Intelligent Tutoring Systems. Academic Press, New York, New York, 1989.Google ScholarGoogle Scholar
  10. 10.SLEEMAN, D., AND SMITH, M. Modeling student's problem solving. Artificial Intelligence 16, 171-188.Google ScholarGoogle Scholar
  11. 11.XUAN, A., NICAUD, J., AND GELIS, J. An experiment in learning algebra with an intelligent learning environment. Instructional Science 23 (1995), 25-45.Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Diagnosing and correcting student's misconceptions in an educational computer algebra system

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Conferences
      ISSAC '01: Proceedings of the 2001 international symposium on Symbolic and algebraic computation
      July 2001
      345 pages
      ISBN:1581134177
      DOI:10.1145/384101

      Copyright © 2001 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 July 2001

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • Article

      Acceptance Rates

      Overall Acceptance Rate395of838submissions,47%

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader