Skip to main content

Automatic Multi-criteria Assessment of Open-Ended Questions: A Case Study in School Algebra

  • Conference paper
Intelligent Tutoring Systems (ITS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5091))

Included in the following conference series:

Abstract

This paper deals with authoring assessments of complex competence involving open-ended questions. We present, PépiGen, a multi-criteria automatic assessor for school algebra, via a walkthrough of an example. PépiGen is based on our previous work on Pépite, an automatic cognitive diagnosis tool that capitalizes on educational research results. From that prototype, we derived patterns of diagnosis tasks. A pattern models (i) a class of exercises, (ii) the different students’ points of view on the solutions reported in the literature or observed in a corpus, (iii) and a multidimensional assessment for each solution approach. To adapt an assessment to a specific classroom context (e.g. level of difficulty, time, learning objectives) an interface allows an IT non expert (e.g. a teacher) to generate new instances of exercises by filling the pattern parameters. The originality of our research lies in the fact that our system generates the automatic analysis of students’ simple or complex answers, such as algebraic reasoning. This is an ongoing work but preliminary evaluation shows that PépiGen is already successful in generating and analyzing most answers on several classes of problems.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Artigue, M., Assude, T., Grugeon, B., Lenfant, A.: Teaching and Learning Algebra: approaching complexity through complementary perspectives. In: ICMI Study Conference, Melbourne, pp. 21–32 (2001)

    Google Scholar 

  2. http://www.assistment.org/

  3. Delozanne, É., Prévit, D., Grugeon, B., Jacoboni, P.: Supporting teachers when diagnosing their students in algebra. In: AIED supplementary proceedings, pp. 461–470 (2003)

    Google Scholar 

  4. Delozanne, É., Vincent, C., Grugeon, B., Gélis, J.-M., Rogalski, J., Coulange, L.: From errors to stereotypes: Different levels of cognitive models in school algebra. E-learn, 262–269 (2005)

    Google Scholar 

  5. Delozanne, É., Le Calvez, F., Merceron, A., Labat, J.-M.: A Structured set of Design Patterns for Learners’ Assessment. JILR 18(2), 309–333 (2007)

    Google Scholar 

  6. Grugeon, B.: Design and development of a multidimensional grid of analysis in algebra. RDM 17(2), 167–210 (1997)

    Google Scholar 

  7. Hakem, K., Sander, E., Labat, J.-M.: DIANE, a diagnosis system for arithmetical problem solving. AIED, 258–265 (2005)

    Google Scholar 

  8. IMS Question & Test Interoperability, http://www.imsglobal.org/question/index.cfm

  9. Joosten-ten Brinke, D., van Bruggen, J., Hermans, H., Burgers, J., Giesbers, B., Koper, R., Latour, I.: Modeling assessment for re-use of traditional and new types of assessment. Computers in Human Behavior 23(6), 2721–2741 (2007)

    Article  Google Scholar 

  10. Koedinger, K.R., Anderson, J.R.: Intelligent Tutoring Goes to School in the Big City. IJAIED (8), 30–43 (1997)

    Google Scholar 

  11. LeActiveMath project, http://www.leactivemath.org/

  12. Nicaud, J.F., Chaachoua, H., Bittar, M.: Automatic calculation of students’ conceptions in elementary algebra from Aplusix log files. In: Ikeda, M., Ashley, K.D., Chan, T.-W. (eds.) ITS 2006. LNCS, vol. 4053, pp. 433–442. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Murray, T.: An Overview of Intelligent Tutoring System Authoring Tools: Updated analysis of the state of the art. In: Authoring Tools for Advanced Technology Learning Environments, ch.17, Kluwer Academic (2003)

    Google Scholar 

  14. Prévit, D.: PépiGen, un générateur de batteries d’exercices pour un diagnostic cognitif en algèbre élémentaire, PhD dissertation (to appear)

    Google Scholar 

  15. Shapiro, J.: An Algebra Subsystem for Diagnosing Students’ Input in a Physics Tutoring System. IJAIED 15, 205–228 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Beverley P. Woolf Esma Aïmeur Roger Nkambou Susanne Lajoie

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Delozanne, É., Prévit, D., Grugeon, B., Chenevotot, F. (2008). Automatic Multi-criteria Assessment of Open-Ended Questions: A Case Study in School Algebra. In: Woolf, B.P., Aïmeur, E., Nkambou, R., Lajoie, S. (eds) Intelligent Tutoring Systems. ITS 2008. Lecture Notes in Computer Science, vol 5091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69132-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69132-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69130-3

  • Online ISBN: 978-3-540-69132-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics