Tomsk State Pedagogical University Bulletin
RU EN






Today: 28.12.2025
Home Issues 2024 Year Issue №5 Educational models of mathematical literacy development
  • Home
  • Current Issue
  • Bulletin Archive
    • 2025 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2024 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2023 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 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
  • Search
  • Rating
  • 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.ru
praxema.tspu.ru
ling.tspu.ru
npo.tspu.ru
edujournal.tspu.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)
Search by Author
- Not selected -
  • - Not selected -
Яндекс.Метрика

Educational models of mathematical literacy development

Shcherbatykh S.V., Podlipskiy O.K.

DOI: 10.23951/1609-624X-2024-5-147-156

Information About Author:

Shcherbatykh S. V., Doctor of Pedagogical Sciences, Professor, Rector, Bunin Yelets State University (ul. Kommunarov, 28, Yelets, Lipetsk region, Russian Federation, 399770). E-mail: rector@elsu.ru Podlipskiy O. K., Candidate of Physical and Mathematical Sciences, Associate Professor, Moscow Institute of Physics and Technology (per. Institutskiy, 9, Dolgoprudnyy, Moscow region, Russian Federation, 141701). E-mail:ok@phystech.edu

Functional literacy is considered as a systemic educational result of basic general education, aimed at socializing the teacher through solving real problems using subject and meta-subject knowledge. The structure of functional literacy is represented by a set of components: reading, natural science, mathematics, financial, critical and creative thinking. The formation of a set of these components requires the design within an educational organization of an appropriate motivating environment, which includes social, cultural, as well as specially organized psychological and pedagogical conditions. Designing a motivating educational environment is the result of the activities of the school's teaching team, which accepts this as a strategic task and solves it through joint efforts. Mathematical literacy is defined as the ability to solve real-world problems through a set of activities: conducting mathematical reasoning, as well as formulating, applying and interpreting. The process of developing mathematical literacy can be carried out in various forms: lesson, workshop, extracurricular and project activities, etc. Each of them has its own specific features. Thus, the lessons provide mastery of specific mathematical content and demonstration of its use to solve life problems. The workshop, which serves as a complement to mathematics lessons, places emphasis on students mastering the method of mathematical modeling, for which various methods of presenting data are used: text, graphic, tabular, photo, drawing, etc. Also, when conducting a workshop, there are more opportunities to combine individual, group and collective form of work. Extracurricular activities, which are characterized by a wide range of different forms of learning, can also be productively used in the process of developing mathematical skills. Depending on age, this could be a club, an elective, etc. Another variant of the model for the formation of mathematical literacy is educational design, when students independently solve a certain problem using a set of subject knowledge under the guidance of a teacher. Project work can be carried out either individually or in a group, including students of the same age and of different ages. Project activities allow you to build productive communication between students and develop teamwork skills. Project activities allow you to organize various interdisciplinary projects where different types of functional literacy are combined.

Keywords: functional literacy, mathematical literacy, educational models, socialization for learning

References:

1. Bozina I. G. Sotsializatsiya starshikh shkol’nikov v usloviyakh obrazovatel’nogo uchrezhdeniya. Avtoref. dis. ... kand. ped. nauk [Socialization of senior schoolchildren in an educational institution. Abstract of thesis ... cand. ped. sci.]. Kemerovo. 2007. 23 p. (in Russian).

2. Prikaz Ministerstva prosveshcheniya Rossiyskoy Federatsii ot 31.05.2021 № 287 “Ob utverzhdenii federal’nogo gosudarstvennogo obrazovatel’nogo standarta osnovnogo obshchego obrazovaniya” (s izm. na 8.11.2022) [Order of the Ministry of Education of the Russian Federation dated May 31, 2021 No. 287 “On approval of the federal state educational standard of basic general education” (as amended on November 8, 2022)] (in Russian). URL: https://docs.cntd.ru/document/607175848?ysclid=lrkjslifet808395632 (accessed 20 February 2024).

3. Prikaz Minprosveshcheniya Rossii ot 18.05.2023 № 370 “Ob utverzhdenii federal’noy obrazovatel’noy programmy osnovnogo obschego obrazovaniya” [Order of the Ministry of Education of Russia dated May 18, 2023 No. 370 “On approval of the federal educational program of basic general education”]. Sudebnye i normativnye akty RF [Judicial and normative acts of the Russian Federation] (in Russian). URL: https://sudact.ru/law/prikaz-minprosveshcheniia-rossii-ot-18052023-n-370/ (accessed 20 February 2024).

4. Rabochaya programma kursa vneurochnoy deyatel’nosti “Funktsional’naya gramotnost’: uchimsya dlya zhizni” [Work program of the extracurricular activity course “Functional literacy: learning for life”] (in Russian). URL: https://edsoo.ru/wp-content/uploads/2023/08/VUD_Programma-kursa-vneurochnoj-deyatel`nosti.-Funkcional`naya-gramotnost`-OOO_Novaya.pdf?ysclid=lsw909ldpt936704497 (accessed 20 February 2024).

5. Denishcheva L. O., Savintseva N. V., Safuanov I. S., Ushakov A. V., Chugunov V. A., Semenyachenko Yu. A. Osobennosti formirovaniya i otsenki matematicheskoy gramotnosti shkol’nikov [Peculiarities of formation and assessment of schoolchildren’s mathematical literacy]. Science for Education Today, 2021, vol. 11, no. 4, pp. 113–135 (in Russian).

6. Agakhanov N., Shcherbatykh S. Formirovaniye motiviruyushchey obrazovatel’noy sredy razvitiya matematicheski odarennykh schkol’nikov [Formation of a motivating educational environment for the development of mathematically gifted schoolchildren]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – Tomsk State Pedagogical University Bulletin, 2017, vol. 12 (189), pp. 134–138 (in Russian). doi: 10.23951/1609-624X-2017-12-134-138 (accessed 20 February 2024).

7. Yasvin V. A. Shkol’noye sredovedeniye i pedagogicheskoye sredotvoreniye. Ekspertno-proektnyy praktikum [School environmental studies and pedagogical environment creation. Expert design educational aid]. Moscow, Prosveshcheniye Publ., 2020. 142 p. (in Russian).

8. Roslova L. O., Krasnyanskaya K. A., Kvitko E. S. Kontseptual’nye osnovy formirovaniya i otsenki matematicheskoy gramotnosti [Conceptual foundations of the formation and assessment of mathematical literacy]. Otechestvennaya i zarubezhnaya pedagogika, 2019, vol. 1, no. 4 (61), pp. 58–79 (in Russian).

9. Rastashanskaya T. V., Sergeeva T. F., Shabanova M. V., Popov M. S. Razvitiye matematicheskoy gramotnosti na osnove predmetnogo i mezhpredmetnogo soderzhaniya: metodicheskoye posobiye dlya uchitelya [Development of mathematical literacy based on subject and interdisciplinary content: a methodological manual for teachers] (in Russian). URL: https://pkiro.ru/wp-content/uploads/2022/03/matematicheskaya-gramotnost.pdf?ysclid=lsw9hv4l45694080347 (accessed 20 February 2024).

10. Podlipskii O. K. Funktsional’naya gramotnost’ kak napravleniye razvitiya matematicheskogo obrazovaniya v shkole [Functional literacy as a direction for the development of mathematical education in school]. Mir nauki, kul'tury i obrazovaniya – World of science, culture, education, 2020, no. 6 (85), pp. 104–106 (in Russian).

11. Matematika. Algebra: 7-y klass: bazovyy uroven’: uchebnik [Mathematics. Algebra: 7th grade: basic level: textbook]. Yu. N. Makarychev, N. G. Mindyuk, K. I. Neshkov, S. B. Suvorov; pod red. S. A. Telyakovskogo. Moscow, Prosveshcheniye Publ., 2023. 255 p. (in Russian).

12. Roslova L. O., Kvitko E. S., Denishcheva L. O., Karamova I. I. Problema formirovaniya sposobnosti “primenyat’ matematiku” v kontekste urovney matematicheskoy gramotnosti [The problem of developing the ability to “apply mathematics” in the context of levels of mathematical literacy]. Otechestvennaya i zarubezhnaya pedagogika, 2020, vol. 2, no. 2 (70), pp. 74–99 (in Russian).

13. Makhmutova L. G. Praktikum po metodike obucheniya matematike v nachal’noy shkole: uchebnoye posobiye [Workshop on methods of teaching mathematics in elementary school: textbook]. Chelyabinsk, YuUrGGPU Publ., 2020. 194 p. (in Russian).

14. Ispol’zovaniye praktiko-orientirovannogo podkhoda v obuchenii matematike: metodicheskiye rekomendatsii [Using a practice-oriented approach in teaching mathematics: method. recommendations]. Comp. T. V. Shakhoval. Yuzhno-Sakhalinsk, IROSO Publ., 2020. 24 p. (in Russian).

15. Kondaurova I. K. Obucheniye, vospitaniye i razvitiye matematicheski odarennykh uchashchikhsya [Training, education and development of mathematically gifted students]. Saratov, Saratov University Publ., 2018. 158 p. (in Russian).

16. Alekseevnina A. K. K voprosam nepreryvnogo obrazovaniya inzhenernykh kadrov: neobxodimost’ formirovaniya funktsional’noy gramotnosti shkol’nikov na urokakh fiziki i matematiki [On the issues of continuing education for engineering personnel: the need to form functional literacy of schoolchildren at the lessons of physics and mathematics]. Inzhenernoye obrazovaniye – Engineering Education, 2022, no. 32, pp. 7–16 (in Russian). doi: 10.54835/18102883_2022_32_1 (accessed 20 February 2024).

17. Sergeeva T. F. Finansovaya gramotnost’. V poiskakh finansovogo ravnovesiya: 6–8-e klassy: trenazhor: uchebnoye posobiye [Financial literacy. In search of financial balance: grades 6–8: simulator: study guide]. Moscow, Prosveshcheniye Publ., 2023. 127 p. (in Russian).

shcherbatykh_sergey_viktorovich_147_156_5_235_2024.pdf ( 2.71 MB ) shcherbatykh_sergey_viktorovich_147_156_5_235_2024.zip ( 2.6 MB )

Issue: 5, 2024

Series of issue: Issue 5

Rubric: THEORY AND METHODS OF TEACHING AND EDUCATION

Pages: 147 — 156

Downloads: 987

For citation:


2025 Tomsk State Pedagogical University Bulletin

Development and support: Network Project Laboratory TSPU