Interactive Presentation Of Mathematical Objects

Authors

  • Pavel Pankov National Academy of Sciences of Kyrgyzstan, Chui ave. 256-a, Bishkek, 720071, Kyrgyz Republic
  • Elena Burova American University of Central Asia, 7/6 Aaly Tokombaev Street, Bishkek, 720060, Kyrgyz Republic

DOI:

https://doi.org/10.32603/2071-2340-2021-2-58-65

Keywords:

mathematics, tasks, computer presentation, independent presentation, interactive presentation.

Abstract

Earlier, the first author introduced a definition of independent computer presentation of an object (the user can master the object without reference to similar objects). The paper presents examples of descriptions of interactive mathematical models: for notions in natural languages (without any other languages as media; verbs are presented as the user’s actions); for mathematics itself (with minimal explanations) and for physics.

Author Biographies

  • Pavel Pankov, National Academy of Sciences of Kyrgyzstan, Chui ave. 256-a, Bishkek, 720071, Kyrgyz Republic

    Doctor of Physical-Mathematical Sciences, Professor, Corresponding Member of National Academy of Sciences of Kyrgyzstan, Head of Laboratory of Computational Mathematics of Institute of Mathematics, pps5050@mail.ru

  • Elena Burova, American University of Central Asia, 7/6 Aaly Tokombaev Street, Bishkek, 720060, Kyrgyz Republic

    Assistant Professor of Applied Mathematics and Informatics Department of American University of Central Asia, burova_e@auca.kg

References

P. S. Pankov, “Independent learning for Open society,” in Collection of papers as results of seminars conducted within the frames of the program “High Education Support”, Foundation “Soros-Kyrgyzstan”, Bishkek, 1996, no. 3, pp. 27–38.

V. N. Dubrovskii, “Visualization of Functional Dependences in Dynamic Geometry Systems,” Computer tools in education, no. 4, pp. 93–112, 2020 (in Russian); doi: 10.32603/2071-2340-2020-4-93-112

R. Landauer, “Irreversibility and heat generation in the computing process,” IBM Journal of Research and Development, vol. 5, no. 3, pp. 183–191, 1961; doi: 10.1147/rd.53.0183

P. S. Pankov, “Adiabaticheskie pokazateli zamknutykh sistem” [Adiabatic exponents of closed systems], Vestnik KNU im. Zh. Balasagyna. Seriya 3. Estestvenno-tekhnicheskie nauki, pp. 146–147, 2003 (in Russian).

P. Pankov, Zh. Dzhanalieva, and A. Naimanova, Induktivnoe i eksperimental’noe izuchenie matematicheskikh distsiplin (Matematicheskie fakty i ponyatiya, kotorye mogut byt’ obnaruzheny samostoyatel’no) [Inductive and experimental study of mathematical disciplines (Mathematical facts and concepts that can be discovered on one’s own)], Saarbrucken, Deutschland: Lap Lambert Academic Publishing, 2015 ¨(in Russian).

1C Company, V. N. Dubrovskii, V. A. Bulychev et al., “How to make a mathematical discovery,” in obr.1c.ru. [Online] (in Russian). Available: https://obr.1c.ru/mathkit/lessons5.html

P. S. Pankov, J. Sh. Aidaraliyeva, and V. S. Lopatkin, “Active English on computer,” in Proc. of Conf. Improving Content and Approach in the Teaching of English Language in the Context of Educational Reform, Bishkek, 1996, pp. 25–27.

S. M. Ulam, “Chapter VIII. Computing machines,” in A Collection of Mathematical Problems, New York: Interscience Publ., 1960.

P. S. Pankov, B. J. Bayachorova, and A. V. Terehin, “Computer Presentation of Four-Dimensional Spaces,” in Proc. of The 8-th Int. Conf. on Computer Graphics and Visualization "GraphiCon-98", Moscow, 1998, p. 204.

A. A. Borubaev, P. S Pankov, and A. A. Chekeev, Spaces Uniformed by Coverings, Budapest: Hung.-Kyrgyz friendship soc, 2003 (in Russian).

Downloads

Published

2021-08-15

Issue

No. 2 (2021)

Section

Computers in the teaching process

License

How to Cite

[1]
P. Pankov and E. Burova, “Interactive Presentation Of Mathematical Objects”, Computer Tools in Education, no. 2, pp. 58–65, Aug. 2021, doi: 10.32603/2071-2340-2021-2-58-65.

Similar Articles

1-10 of 361

You may also start an advanced similarity search for this article.