Moskva, Moscow, Russian Federation
The article is devoted to the problem of the formation of mathematical literacy of primary school students, which, in accordance with the definition proposed in the international program for assessing the educational achievements of students PISA, is considered in the context of functional literacy. The article reflects the concept of a teacher's readiness to form mathematical literacy of schoolchildren, the structure of this concept has been developed, which includes five components: cognitive, motivational, emotional, operational and evaluative. The article describes the research carried out by the authors aimed at identifying the readiness of mathematics teachers of general education organizations to form students' mathematical literacy, presents a questionnaire developed to solve the research problems. The results of the analysis of ideas, attitudes and beliefs of teachers of mathematics regarding the formation of functional mathematical literacy of students are presented. The analysis of the cognitive, operational and evaluative components of readiness has been carried out in accordance with the following tasks: first, to reveal the level of the teacher's understanding of the pedagogical task and the assessment of its significance for society in modern conditions; secondly, to reveal the ideas of teachers about the methodology for the formation of mathematical literacy and mathematical content aimed at the formation of this ability; thirdly, to reveal the attitude towards the possibilities of forming mathematical literacy within the framework of a general education school, the problems and difficulties arising in solving this pedagogical problem. The analysis made it possible to reveal a contradiction between the high level of understanding by teachers of the significance of a new pedagogical task for them and the lack of didactic tools and teaching methods necessary for its solution. The directions of further research necessary to increase the level of mathematics teachers' readiness for the formation of functional mathematical literacy of students in Russian schools are proposed.
functional literacy, mathematical literacy, international PISA study, readiness
1. Adamovich K.A., Kapuza A.V., Zaharov A.B., Frumin I.D. Osnovnye rezul'taty rossijskih uchashchihsya v mezhdunarodnom issledovanii chitatel'skoj, matematicheskoj i estestvennonauchnoj gramotnosti PISA-2018 i ih interpretaciya [The main results of Russian students in the international study of reading, mathematical and natural science literacy PISA - 2018 and their interpretation]. Nacional'nyj issledovatel'skij universitet «Vysshaya shkola ekonomiki», Institut obrazovaniya [National Research University Higher School of Economics, Institute of Education]. Moscow: NIU VShE Publ., 2019. 28 p.
2. Analiticheskie materialy po rezul'tatam provedeniya Nacional'nogo issledovaniya kachestva matematicheskogo obrazovaniya v 5-7 klassah [Analytical materials based on the results of the National Research on the Quality of Mathematical Education in grades 5-7]. Moscow: MCNMO Publ., 2015. 187 p.
3. Brezgina L.D. Obuchenie sostavleniyu praktiko-orientirovannyh zadach [Teaching the compilation of practice-oriented tasks]. Matematika. MCNMO [Mathematics. MCNMO]. 2019, I. 9, pp. 9-11.
4. Varyushchenko V.I., Gajkova O.V. Gotovnost' uchitelya k prepodavaniyu diskussionnyh voprosov social'no-gumanitarnoj nauki kak psihologo-pedagogicheskoe yavlenie [The teacher's readiness to teach controversial issues of social and humanitarian science as a psychological and pedagogical phenomenon]. Vestnik YuUrGGPU [Bulletin of the SUSPU]. 2016, I. 1, pp. 9-14.
5. Dorofeev G.V., Suvorova S.B., Bunimovich E.A. Algebra. 7 klass [Algebra. Grade 7]. Moscow: Prosveshchenie Publ., 2019. 288 p.
6. Dorofeev G.V., Suvorova S.B., Bunimovich E.A. Algebra. 8 klass [Algebra. Grade 8]. Moscow: Prosveshchenie Publ., 2019. 320 p.
7. Dorofeev G.V., Suvorova S.B., Bunimovich E.A. Algebra. 9 klass [Algebra. Grade 9]. Moscow: Prosveshchenie Publ., 2019. 336 p.
8. Dorofeev G.V., Sharygin I.F., Suvorova S.B. Matematika. 5 klass [Maths. Grade 5]. Moscow: Prosveshchenie Publ., 2019. 288 p.
9. Dorofeev G.V., Sharygin I.F., Suvorova S.B. Matematika. 6 klass [Maths. Grade 6]. Moscow: Prosveshchenie Publ., 2019. 288 p.
10. D'yachenko M.I., Kandybovich L.A. Psihologicheskie problemy gotovnosti k deyatel'nosti [Psychological problems of readiness for activity]. Minsk: BGU Publ., 1976. 175 p.
11. Demonstracionnyj variant kontrol'nyh izmeritel'nyh materialov dlya provedeniya v 2019 godu osnovnogo gosudarstvennogo ekzamena po matematike [Demonstration version of control measuring materials for conducting the main state exam in mathematics in 2019]. Oficial'nyj sajt FIPI [Official website of FIPI]. Available at: http://www.fipi.ru/oge-i-gve-9/demoversii-specifikacii-kodifikatory (accessed 16 February 2020).
12. Larina G.S. Ispol'zovanie konteksta povsednevnoj zhizni v obuchenii matematike v osnovnoj shkole: mezhdunarodnaya perspektiva. Kand. Diss [Using the context of everyday life in teaching mathematics in basic school: an international perspective. Cand. Diss]. Oficial'nyj sajt VShE [Official site of the Higher School of Economics]. Available at: https://www.hse.ru/sci/diss/218726834 (accessed 16 February 2020).
13. Roslova L.O. Refleksiya na konec uchebnogo goda [Reflection at the end of the academic year]. Matematika. MCNMO []. 2017, I. 9, pp. 26-32
14. Roslova L.O. Funkcional'naya matematicheskaya gramotnost': chto pod etim ponimat' i kak formirovat' [Functional mathematical literacy: what is meant by this and how to form it]. Pedagogika [Pedagogy]. 2018, I. 10, pp. 48-55.
15. Skurihina Yu.A. Organizaciya proektnoj deyatel'nosti [Organization of project activities]. Matematika. MCNMO [Mathematics. MCNMO]. 2019, I. 9, pp. 12-15.
16. Tyumeneva Yu.A., Shklyaeva I.V. Dva podhoda k ponimaniyu \"primeneniya znanij\": transfer i modelirovanie obzor literatury i kritika. Voprosy obrazovaniya [Two approaches to understanding the "application of knowledge": transfer and modeling literature review and criticism. Educational issues]. 2016, I. 3, pp. 8-33.
17. Tyumeneva Yu.A., Goncharova M.V. Sleduya shablonu: perenos navyka modelirovaniya na netipichnye zadachi. Eksperimental'naya psihologiya [Following the pattern: transfer modeling skill to atypical tasks. Experimental psychology]. 2016, V. 9, I. 1, pp. 69-81.
18. Federal'nyj komponent gosudarstvennyh obrazovatel'nyh standartov nachal'nogo obshchego, osnovnogo obshchego i srednego (polnogo) obshchego obrazovaniya [The federal component of state educational standards of primary general, basic general and secondary (complete) general education]. Available at: https://base.garant.ru/6150599 (accessed 16 February 2020).
19. Fejgenberg I.M. Tipichnye netipichnosti: zhiznennye zadachi - shkole [Typical atypicalities: life tasks - school]. Obrazovatel'naya politika [Educational policy]. 2010, I. 7-8, pp. 84-95.
20. Grønmo L.S. The Role of Algebra in School Mathematics // G. Kaiser et al. (eds.), Invited Lectures from the 13th International Congress on Mathematical Education, ICME-13 Monographs. P. 175-194. doi:https://doi.org/10.1007/978-3-319-72170-5_11 1
21. Mullis, I. V. S., Martin, M. O., Foy, P., & Hooper, M. TIMSS 2015 International Results in Mathematics [Elektronnyj resurs]: Boston College, TIMSS & PIRLS International Study Center. Available at: http://timssandpirls.bc.edu/timss2015/international-results/ (accessed 16 February 2020).
22. PISA: Programme for International Students Assessment [Elektronnyj resurs] / Oficial'nyj sajt. Available at: https://www.oecd.org/pisa/publications/pisa-2018-resultshtm.htm. (accessed 16 February 2020)
23. PISA 2018: Assessment and Analytical Framework. PISA, OECD Publishing, Paris. P. 75. [Elektronnyj resurs] / Oficial'nyj sajt. Available at: https://doi.org/10.1787/b25efab8-en. (accessed 16 February 2020).
24. PISA 2018 Results (Volume I): What Students Know and Can Do. PISA, OECD Publishing, Paris [Elektronnyj resurs] / Oficial'nyj sajt. Available at: https://doi.org/10.1787/5f07c754-en (accessed 16 February 2020).
