Skip to main content

Predicting Learner’s Deductive Reasoning Skills Using a Bayesian Network

  • Conference paper
  • First Online:
Artificial Intelligence in Education (AIED 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10331))

Included in the following conference series:

Abstract

Logic-Muse is an Intelligent Tutoring System (ITS) that helps improve deductive reasoning skills in multiple contexts. All its three main components (The learner, the tutor and the expert models) have been developed while relying on the help of experts and on important work in the field of reasoning and computer science. It is now known that one can’t support a student in a learning task without being aware of his level of skills (what he/she knows and what he/she needs to know). Thus, it is important in the setting up of the learner model to consider an efficient mechanism that can both assess and predict her skills. This paper describes the Bayesian Network (that allows real time diagnosis, prediction and modeling of the learner’s state of skills) implemented in the learner component of Logic-Muse. We proved that the BN (Bayesian Network) is able to predict with an accuracy near 85%, the answers of learners on different exercises of the domain. Given this result, the system is therefore able to predict the learner’s deductive reasoning skills at a given time and help the tutor model for a better assessment and coaching.

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 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
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

References

  1. Barnes, T., Stamper, J.C.: Automatic hint generation for logic proof tutoring using historical data. Educ. Technol. Soc. 13(1), 3–12 (2010)

    Google Scholar 

  2. Chakraborty, B., Sinha, M.: Student evaluation model using bayesian network in an intelligent e-learning system. J. Inst. Integr. Omics Appl. Biotechnol. (IIOAB) 7, 2 (2016)

    Google Scholar 

  3. Chrysafiadi, K., Virvou, M.: Student modeling approaches: a literature review for the last decade. Expert Syst. Appl. 40(11), 4715–4729 (2013)

    Article  Google Scholar 

  4. Conati, C., Gertner, A.S., VanLehn, K., Druzdzel, M.J.: On-line student modeling for coached problem solving using bayesian networks. In: Jameson, A., Paris, C., Tasso, C. (eds.) User Modeling. ICMS, vol. 383, pp. 231–242. Springer, Vienna (1997). doi:10.1007/978-3-7091-2670-7_24

    Chapter  Google Scholar 

  5. Conati, C., Gertner, A., Vanlehn, K.: Using Bayesian networks to manage uncertainty in student modeling. User Model. User-Adap. Inter. 12(4), 371–417 (2002)

    Article  MATH  Google Scholar 

  6. Conati, C.: Bayesian student modeling, in Advances in intelligent tutoring systems. In: Nkambou, R., Bourdeau, J., Mizoguchi, R. (eds.) Advances in Intelligent Tutoring Systems. Studies in Computational Intelligence, vol. 308, pp. 281–299. Springer, Berlin (2010). doi:10.1007/978-3-642-14363-2_14

    Chapter  Google Scholar 

  7. d Baker, R.S.J., Corbett, A.T., Aleven, V.: More accurate student modeling through contextual estimation of slip and guess probabilities in Bayesian knowledge tracing. In: Woolf, B.P., Aïmeur, E., Nkambou, R., Lajoie, S. (eds.) ITS 2008. LNCS, vol. 5091, pp. 406–415. Springer, Heidelberg (2008). doi:10.1007/978-3-540-69132-7_44

    Chapter  Google Scholar 

  8. De La Torre, J.: A cognitive diagnosis model for cognitively based multiple-choice options. Appl. Psychol. Meas. 33(3), 163–183 (2009)

    Article  MathSciNet  Google Scholar 

  9. Fournier-Viger, P., et al.: SPMF: a Java open-source pattern mining library. J. Mach. Learn. Res. 15(1), 3389–3393 (2014)

    MATH  Google Scholar 

  10. Galafassi, F.F.P., Santos, A.V., Peres, R.K., Vicari, R.M., Gluz, J.C.: Multi-plataform interface to an ITS of proposicional logic teaching. In: Bajo, J., Hallenborg, K., Pawlewski, P., Botti, V., Sánchez-Pi, N., Duque Méndez, N.D., Lopes, F., Julian, V. (eds.) PAAMS 2015. CCIS, vol. 524, pp. 309–319. Springer, Cham (2015). doi:10.1007/978-3-319-19033-4_26

    Chapter  Google Scholar 

  11. Junker, B.W., Sijtsma, K.: Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Appl. Psychol. Meas. 25(3), 258–272 (2001)

    Article  MathSciNet  Google Scholar 

  12. Lesta, L., Yacef, K.: An intelligent teaching assistant system for logic. In: Cerri, S.A., Gouardères, G., Paraguaçu, F. (eds.) ITS 2002. LNCS, vol. 2363, pp. 421–431. Springer, Heidelberg (2002). doi:10.1007/3-540-47987-2_45

    Chapter  Google Scholar 

  13. Mark, M.A., Greer, J.E.: Evaluation methodologies for intelligent tutoring systems. J. Artif. Intell. Educ. 4, 129 (1993)

    Google Scholar 

  14. Markovits, H.: On the road toward formal reasoning: Reasoning with factual causal and contrary-to-fact causal premises during early adolescence. J. Exp. Child Psychol. 128, 37–51 (2014)

    Article  Google Scholar 

  15. Mayo, D.G., Kruse, M.: Principles of inference and their consequences. In: Corfield, D., Williamson, J. (eds.) Foundations of Bayesianism. Applied Logic Series, vol. 24, pp. 381–403. Springer, Netherlands (2001). doi:10.1007/978-94-017-1586-7_16

    Chapter  Google Scholar 

  16. Millán, E., Jiménez, G., Belmonte, M.-V., Pérez-de-la-Cruz, J.-L.: Learning Bayesian networks for student modeling. In: Conati, C., Heffernan, N., Mitrovic, A., Verdejo, M.F. (eds.) AIED 2015. LNCS, vol. 9112, pp. 718–721. Springer, Cham (2015). doi:10.1007/978-3-319-19773-9_100

    Chapter  Google Scholar 

  17. Nicol, D.J., Macfarlane-Dick, D.: Formative assessment and self-regulated learning: a model and seven principles of good feedback practice. Stud. High. Educ. 31(2), 199–218 (2006)

    Article  Google Scholar 

  18. Robitzsch, A., et al.: CDM: cognitive diagnosis modeling. R Package Version 5.5. (2017). Accessed in 9 June 2017. https://cran.r-project.org/web/packages/CDM/index.html

  19. Tchetagni, J., Nkambou, R., Bourdeau, J.: Explicit reflection in prolog-tutor. Int. J. Artif. Intell. Educ. 17(2), 169–215 (2007)

    Google Scholar 

  20. Tchétagni, J.M.P., Nkambou, R.: Hierarchical representation and evaluation of the student in an intelligent tutoring system. In: Cerri, S.A., Gouardères, G., Paraguaçu, F. (eds.) ITS 2002. LNCS, vol. 2363, pp. 708–717. Springer, Heidelberg (2002). doi:10.1007/3-540-47987-2_71

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Ange Tato or Roger Nkambou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Tato, A., Nkambou, R., Brisson, J., Robert, S. (2017). Predicting Learner’s Deductive Reasoning Skills Using a Bayesian Network. In: André, E., Baker, R., Hu, X., Rodrigo, M., du Boulay, B. (eds) Artificial Intelligence in Education. AIED 2017. Lecture Notes in Computer Science(), vol 10331. Springer, Cham. https://doi.org/10.1007/978-3-319-61425-0_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-61425-0_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61424-3

  • Online ISBN: 978-3-319-61425-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics