Tomsk State Pedagogical University Bulletin
RU EN






Today: 01.10.2023
Home Issues 2019 Year Issue №8 REFOCUSING THE MATHEMATICAL TRAINING PROCESS OF THE UNIVERSITY STUDENTS FROM “TEACHING MATHS” TO “TEACHING BY MATHS”
  • Home
  • Current Issue
  • Bulletin Archive
    • 2023 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
    • 2022 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2021 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2020 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2019 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 2018 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
    • 2017 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2016 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2015 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2014 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2013 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2012 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2011 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2010 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2009 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2008 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2007 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
    • 2006 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2005 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2004 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2003 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
    • 2002 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2001 Year
      • Issue №1
      • Issue №2
      • Issue №3
    • 2000 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 1999 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 1998 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 1997 Year
      • Issue №1
      • Issue №2
      • Issue №3
  • Rating
  • Search
  • News
  • Editorial Board
  • Information for Authors
  • Review Procedure
  • Information for Readers
  • Editor’s Publisher Ethics
  • Contacts
  • Manuscript submission
  • Received articles
  • Accepted articles
  • Subscribe
  • Service Entrance
vestnik.tspu.edu.ru
praxema.tspu.edu.ru
ling.tspu.edu.ru
npo.tspu.edu.ru
edujournal.tspu.edu.ru

TSPU Bulletin is a peer-reviewed open-access scientific journal.

E-LIBRARY (РИНЦ)
Ulrich's Periodicals Directory
Google Scholar
European reference index for the humanities and the social sciences (erih plus)
DOAJ (Directory of Open Access Journals)
Search by Author
- Not selected -
  • - Not selected -
Яндекс.Метрика

REFOCUSING THE MATHEMATICAL TRAINING PROCESS OF THE UNIVERSITY STUDENTS FROM “TEACHING MATHS” TO “TEACHING BY MATHS”

Toktarova Vera Ivanovna, Fedorova Svetlana Nikolaevna

DOI: 10.23951/1609-624X-2019-8-77-83

Information About Author:

Toktarova V. I., Mari State University (pl. Lenina, 1, Yoshkar-Ola, Russian Federation, 424000). E-mail: toktarova@yandex.ru Fedorova S. N., Mari State University (pl. Lenina, 1, Yoshkar-Ola, Russian Federation, 424000). E-mail: svetfed65@rambler.ru

Introduction. In rapid computerization and mathematization of almost all areas of knowledge the mathematical training of students at a higher education institution must be of an anticipatory nature and be aimed at obtaining results that will be in demand in a technologized society. Modern society requires the individual skills of self-organization, self-development, self-regulation, self-control, self-education, etc. These tasks can be successfully solved in the process of mathematical training of students with the competent organization of the educational process. Material and methods. The basis for the substantiation and implementation of the principle of refocusing the mathematical training process of the university students from “teaching maths” to “teaching by maths” was based on the methods of theoretical and empirical research. Results and discussion. The main tasks of high-quality mathematical education of students, which a modern university is facing today, are considered. Mathematics is characterized as a science and a body of knowledge; a language of research and modeling for solving problems in various fields of knowledge; a system of organization of thinking. The object, subject, methods and properties of mathematics are highlighted. The fundamental functions of students’ mathematical training are revealed: teaching mathematics – involving mastering the system of mathematical knowledge and skills, the formation of mathematical competence; teaching by mathematics – aimed at the intellectual development of students, formation of logical thinking, development of mathematical literacy, etc. The implementation of the principle “learning by mathematics” in the electronic educational environment is characterized through the integration of the content of mathematical courses with specialized disciplines; the choice of the type and method of presentation of educational material not only for carrying out calculations, but for visualizing abstract mathematical concepts and knowledge; differentiation and personification of teaching mathematics through the using non-linear methods and various types of presentation depending on the psycho-physiological characteristics, cognitive styles of students, professional area, including taking into account health features (persons with disabilities). Conclusion. The results of the study showed that refocusing the mathematical training process of the university students from “teaching maths” to “teaching by maths” through the organization of training within electronic educational environment allows students to assimilate the system of mathematical knowledge and skills, actively apply the methods of mathematical research; quickly adapt to the changing conditions of modern society and production, acquiring the necessary competencies for professional activities in the process of solving various applied problems.

Keywords: mathematics, mathematical training, functions of mathematical training, teaching mathematics, teaching by mathematics, electronic educational environment, student, higher educational institutions

References:

1. Kontseptsiya razvitiya matematicheskogo obrazovaniya v Rossiyskoy Federatsii. Rasporyazheniye Pravitel’stva RF ot 24.12.2013 no. 2506-r [The Concept of Development of Mathematics Education in the Russian Federation. The order of the Government of the Russian Federation of 24.12.2013, no. 2506-p] (in Russian).

2. Strategiya razvitiya otrasli informatsionnykh tekhnologiy v Rossiyskoy Federatsii na 2014–2020 gody i na perspektivu do 2025 goda. Rasporyazheniye Pravitel’stva RF ot 01.11.2013 no. 2036-r [The Strategy of the Information Technology Industry Development in the Russian Federation for 2014–2020 and for the future until 2025: Order of the Government of the Russian Federation of 01.11.2013, no. 2036-p] (in Russian).

3. Vechtomov Е. M. Filosofiya matematiki [Philosophy of mathematics]. Kirov, VyatSU Publ., 2004. 192 p. (in Russian).

4. Veyl’ G. Matematicheskoye myshleniye [Mathematical thinking]. Moscow, Nauka Publ., 1989. 400 p. (in Russian).

5. Burbaki N. Ocherki po istorii matematiki [Essays on the history of mathematics]. Moscow, Komkniga Publ., 2007. 296 p. (in Russian).

6. Toktarova V. I., Fedorova S. N. Matematicheskaya podgotovka studentov: prichiny negativnykh tendentsiy [Mathematical training of students: the causes of negative trends]. Vyssheye obrazovaniye v Rossii – Higher education in Russia, 2017, no. 1, pp. 85–92 (in Russian).

7. Lem S. Filosofiya sluchaya [Philosophy of chance]. Moscow, AST Publ., 2007. 768 p. (in Russian).

8. Kolmogorov A. N. Matematika – nauka i professiya [Mathematics is a science and a profession]. Moscow, Nauka Publ., 1988. 288 p. (in Russian).

9. Toktarova V. I. Informatsionno-obrazovatel’naya sreda kak pedagogicheskaya sistema novogo urovnya: sushchnost’, strukturno-funktsional’naya model’ [Electronic Educational Environment as a Pedagogical System of a New Level: Essence, Structural and Functional Model]. Pedagogicheskaya informatika – Pedagogical Informatics, 2018, no. 3, pp. 99–113 (in Russian).

10. Berishvili O. N. Adaptivnaya sistema matematicheskoy podgotovki inzhenerov v sel’skokhozyaystvennom vuze. Dis. dokt. ped. nauk [Adaptive system of mathematical training of engineers in an agricultural university. Diss. doct. of ped. sci.]. Samara, 2015. 623 p. (in Russian).

11. Portal Federal’nykh gosudarstvennykh obrazovatel’nykh standartov vysshego obrazovaniya [Portal of Federal State Educational Standards for Higher Education] (in Russian). URL: http://fgosvo.ru/ (accessete 24 May 2019).

12. Toktarova V. I., Fedorova S. N., Semenova D. A. Network and Mobile Technologies in the Educational Process of the HEI. Proceedings of INTCESS 2019 – 6th International Conference on Education and Social Sciences, 2019, pp. 432–436.

13. Bul’ E. E. Obzor modeley studenta dlya komp’yuternykh sistem obucheniya [Overview of student models for computer-based learning systems]. Educational Technology & Society, no. 6 (4), 2003, pp. 245–250 (in Russian).

14. Skibitskiy E. G. K voprosu o razrabotke pedagogicheskogo stsenariya komp’yuterizirovannykh kursov [On the Development of the Pedagogical Scenario of Computerized Courses]. Informatsionnyye tekhnologii v obrazovanii [Information technologies in education]. Novosibirsk, IPSO RAO Publ., 1993. Vol. 10. Pp. 26–41 (in Russian).

15. Professional’nyy standart “Pedagog (pedagogicheskaya deyatel’nost’ v sfere doshkol’nogo, nachal’nogo obshchego, osnovnogo obshchego, srednego obshchego obrazovaniya) (vospitatel’, uchitel’)”. Prikaz Ministerstva truda i sotsial’noy zashchity Rossiyskoy Federatsii ot 18.10.2013 no. 544n [Professional Standard «Teacher (Pedagogical Activity in the Sphere of Pre-School, Primary General, Basic General, Secondary General Education) (Educator, Teacher)». Order of the Ministry of Labor and Social Protection of the Russian Federation of 18.10.2013, no. 544n] (in Russian).

toktarova_v._i._77_83_8_205_2019.pdf ( 497.85 kB ) toktarova_v._i._77_83_8_205_2019.zip ( 487.1 kB )

Issue: 8, 2019

Series of issue: Issue 8

Rubric: PROFESSIONAL TRAINING

Pages: 77 — 83

Downloads: 460

For citation:


© 2023 Tomsk State Pedagogical University Bulletin

Development and support: Network Project Laboratory TSPU