Journal of Mathematical Sciences

, Volume 172, Issue 5, pp 700–733 | Cite as

Modeling learning process

  • V. B. Kudryavtsev
  • P. A. Aliseichik
  • K. Vashik
  • J. Knap
  • A. S. Strogalov
  • S. G. Shekhovtsov


We consider the problems of creating computer-based learning systems and teaching environments on the basis of discrete models based on automata. We estimate the perspectives of using computer models of learning for improving the quality of education.


Learning Process Expert System Distance Learning Learning Material Incorrect Answer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Y. N. Afanasiev and S. G. Shekhovtsov, “University way: experience of reflection,” in: University Pedagogy in Informational Society [in Russian], RGGU, Moscow (1998), pp. 9–36.Google Scholar
  2. 2.
    Y. N. Afanasiev, A. S. Strogalov, and S. G. Shekhovtsov, On Universal Knowledge and New Educational Environment (on a Concept of a Generic Educational Component) [in Russian], RGGU, Moscow (1999).Google Scholar
  3. 3.
    V. Bush, “As we may think,” Atlantic Monthly (July 1945).Google Scholar
  4. 4.
    S. N. Bychkov, A. S. Strogalov, S. G. Shekhovtsov, and E. V. Shikin, “On identity of fundamental and humanitarian,” in: Proc. of the 2nd Russian Geometrical Seminar. Pskov, Pskov State Univ., May 18–19, 2001 [in Russian].Google Scholar
  5. 5.
    V. B. Kudryavtsev, S. V. Aleshin, and A. S. Podkolzin, Introduction to Automata Theory [in Russian], Nauka, Moscow (1985).MATHGoogle Scholar
  6. 6.
    V. B. Kudryavtsev, K. Vashik, A. S. Strogalov, P. A. Aliseichik, and V. V. Peretrukhin, “Automata computer system,” in: Problems of Theoretical Cybernetics [in Russian], RGGU, Moscow (1996), p. 111.Google Scholar
  7. 7.
    V. B. Kudryavtsev, K. Vashik, A. S. Strogalov, P. A. Aliseichik, and V. V. Peretrukhin, “On automata modeling of teaching process,” Diskret. Mat., 8, No. 4, 3–10 (1996).Google Scholar
  8. 8.
    Lu Young, A Computer System Teaching to Write in Chinese [in Russian], Ph.D. Thesis, Moscow (2006).Google Scholar
  9. 9.
    A. S. Podkolzin, “On formalization of mathematical problem solution techniques,” Intellekt. Sist., 3, No. 3-4, 51–74 (1998).Google Scholar
  10. 10.
    A. S. Strogalov, “Computer teaching systems: some problems of development,” in: University Pedagogy in Informational Society [in Russian], RGGU, Moscow (1998), pp. 68–72.Google Scholar
  11. 11.
    A. S. Strogalov, “It there a humanitarian aspect in mathematics?” in: Mathematics and Society. Mathematical Education at the Edge of Centuries, MNCMO, Moscow (2000).Google Scholar
  12. 12.
    A. S. Strogalov and S. G. Shekhovtsov, “Thinking, language, and intelligent education,” Intellekt. Sist., 3, No. 3-4, 5–50 (1998).Google Scholar
  13. 13.
    A. S. Strogalov and E. V. Timofeev, “On making teaching program interfaces more intelligent,” Intellekt. Sist., 4, No. 3-4 (1999).Google Scholar
  14. 14.
    D. Tiffin and L. Rajasingam, “What virtual education is,” in: Computer Science and Education [in Russian], Moscow (1999).Google Scholar
  15. 15.
    E. V. Timofeev, “Transforming facial expressions for the purpose of an intelligent man-machine interface,” Intellekt. Sist., 4, No. 1-2 (1999).Google Scholar
  16. 16.
    E. V. Timofeev, Modeling of a Mimic Component of Teaching Systems [in Russian], Ph.D. Thesis, Moscow (2001).Google Scholar
  17. 17.
    K. Vashik, V. B. Kudryavtsev, and A. S. Strogalov, Project IDEA. Introduction to the New Generation of ICBI Software for Teaching with Expert System, Link & Link Software GmbH, Dortmund (1995).MATHGoogle Scholar
  18. 18.
    N. N. Yakovlev, Stepping over the Edge [in Russian], Mezhdunar. Otnosh., Moscow (1975).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • V. B. Kudryavtsev
    • 1
  • P. A. Aliseichik
    • 1
  • K. Vashik
    • 2
  • J. Knap
    • 3
  • A. S. Strogalov
    • 1
  • S. G. Shekhovtsov
    • 4
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Ruhr UniversityBochumGermany
  3. 3.University of LjubljanaLjubljanaSlovenia
  4. 4.Russian State University for the HumanitiesMoscowRussia

Personalised recommendations