Skip to main content
SpringerLink
Log in

ActiveMath: An Intelligent Tutoring System for Mathematics

  • Conference paper
Book cover Artificial Intelligence and Soft Computing - ICAISC 2004 (ICAISC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3070))

Included in the following conference series:

Abstract

ActiveMath is a web-based intelligent tutoring system for mathematics. This article presents the technical and pedagogical goals of ActiveMath, its principles of design and architecture, its knowledge representation, and its adaptive behavior. In particular, we concentrate on those features that rely on AI-techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baumert, J., Lehmann, R., Lehrke, M., Schmitz, B., Clausen, M., Hosenfeld, I., Köller, O., Neubrand, J.: Mathematisch-naturwissenschaftlicher Unterricht im internationalen Vergleich. Leske und Budrich (1997)

    Google Scholar 

  2. Bloom, B.S. (ed.) Taxonomy of educational objectives: The classification of educational goals: Handbook I. cognitive domain. Longmans, Green, New York, Toronto (1956)

    Google Scholar 

  3. Buedenbender, J., Andres, E., Frischauf, A., Goguadze, G., Libbrecht, P., Melis, E., Ullrich, C.: Using computer algebra systems as cognitive tools. In: Cerri, S.A., Gouardéres, G., Paraguaçu, F. (eds.) ITS 2002. LNCS, vol. 2363, pp. 802–810. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Caprotti, O., Cohen, A.M.: Draft of the open math standard. Open Math Consortium (1998), http://www.nag.co.uk/projects/OpenMath/omstd/

  5. Forgy, C.L.: Rete: a fast algorithm for the many pattern/many object pattern match problem. Artificial Intelligence, 17–37 (1982)

    Google Scholar 

  6. Friedman-Hill, E.: Jess, the java expert system shell. Technical Report SAND98- 8206, Sandia National Laboratories (1997)

    Google Scholar 

  7. Gonzalez-Palomo, A., Libbrecht, P., Ullrich, C.: A presentation architecture for individualized content. In: The Twelfth International World Wide Web Conference (2003) (submitted)

    Google Scholar 

  8. Kohlhase, M.: OMDoc: Towards an internet standard for the administration, distribution and teaching of mathematical knowledge. In: Campbell, J., Roanes-Lozano, E. (eds.) AISC 2000. LNCS (LNAI), vol. 1930, p. 32. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Lajoie, S., Derry, S. (eds.): Computers as Cognitive Tools. Erlbaum, Hillsdale (1993)

    Google Scholar 

  10. Melis, E., Andres, E.: Global feedback in ActiveMath. In: Proceedings of the World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education (eLearn-2003), pp. 1719–1724. AACE (2003)

    Google Scholar 

  11. Melis, E., Buedenbender, J., Andres, E., Frischauf, A., Goguadse, G., Libbrecht, P., Pollet, M., Ullrich, C.: Knowledge representation and management in Active- Math. International Journal on Artificial Intelligence and Mathematics, Special Issue on Management of Mathematical Knowledge 38(1-3), 47–64 (2003)

    MATH  Google Scholar 

  12. Melis, E., Ullrich, C.: How to teach it – Polya-scenarios in ActiveMath. In: Hoppe, U., Verdejo, F., Kay, J. (eds.) AI in Education, AIED 2003, pp. 141–147. IOS Press, Amsterdam (2003)

    Google Scholar 

  13. Murray, T., Arroyo, I.: Towards measuring and maintaining the zone of proximal development in adaptive instructional systems. In: Cerri, S.A., Gouardéres, G., Paraguaçu, F. (eds.) ITS 2002. LNCS, vol. 2363, pp. 749–758. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  14. Murray, T., Condit, C., Shen, T., Piemonte, J., Khan, S.: Metalinks - a framework and authoring tool for adaptive hypermedia. In: Lajoie, S.P., Vivet, M. (eds.) Proceedings of the International Conference on Artificial Intelligence and Education, pp. 744–746. IOS Press, Amsterdam (1999)

    Google Scholar 

  15. Polya, G.: How to Solve it. Princeton University Press, Princeton (1945)

    MATH  Google Scholar 

  16. Schoenfeld, A.H. (ed.): A Source Book for College Mathematics Teaching. Mathematical Association of America, Washington, DC (1990)

    Google Scholar 

  17. VanLehn, K., Lynch, C., Taylor, L., Weinstein, A., Shelby, R., Schulze, K., Treacy, D., Wintersgill, M.: Minimally invasive tutoring of complex physics problem solving. In: Cerri, S.A., Gouardéres, G., Paraguaçu, F. (eds.) ITS 2002. LNCS, vol. 2363, pp. 367–376. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  18. Weber, G., Brusilovsky, P.: ELM-ART an adaptive versatile system for webbased instruction. Artificial Intelligence and Education (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. German Research Institute for Artificial Intelligence (DFKI), Stuhlsatzenhausweg, 66123, Saarbrücken, Germany

    Erica Melis & Jörg Siekmann

Authors
  1. Erica Melis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jörg Siekmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. German Research Center of Artificial Intelligence (DFKI), Germany

    Jörg H. Siekmann

  3. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  4. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, Initiative in Soft Computing (BISC), 94720-1776, Berkeley, CA

    Lotfi A. Zadeh

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Melis, E., Siekmann, J. (2004). ActiveMath: An Intelligent Tutoring System for Mathematics. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24844-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22123-4

  • Online ISBN: 978-3-540-24844-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation