Development of a methodology for the formation and development of mathematical literacy among schoolchildren in the context of PISA research (2023-2025)

Science

Project report for 2023

          The main idea of ​​the project is to develop a methodology for compiling assessment and training tasks and assignments for them, a methodology for teaching students to solve these tasks in the context of the PISA-2021 program concept. This project is aimed at researching the problems of developing the knowledge and thinking skills of schoolchildren within the framework of the OECD program concept “The Future of Education and Skills: Education 2030”.

Project objectives:

Development of methodological foundations for teaching schoolchildren to solve practice-oriented problems, the formation and development of their thinking skills in the context of PISA research.

This project is aimed at researching and solving the following problems:

– conducting a meaningful analysis of research works within the framework of the OECD (Organization for Economic Cooperation and Development) program concept “The Future of Education and Skills: Education 2030”;

– conducting a comparative analysis of the work experience of mathematics teachers in the framework of the formation and development of mathematical literacy among schoolchildren;

– conducting a meaningful analysis of textbooks in mathematics in the context of the formation and development of mathematical literacy among schoolchildren;

– conducting an experimental study in order to identify emerging problems in teaching schoolchildren to solve practice-oriented problems in the context of the PISA-2021 program concept;

– establishing the type of practice-oriented task in accordance with mental activity, formulated in the program concept of PISA-2021;

– identifying signs of the formation of mathematical literacy of schoolchildren in the context of the PISA-2021 program concept;

– development of a method for reducing practice-oriented problems  to assessment-training mathematical assignment in the context of PISA examination assignments;

– development of assessment and training tasks and assignments of various types in accordance with the being formed thinking skills of the 21st century;

– choice (or development, or modification) of an innovative method of teaching schoolchildren to solve practice-oriented problems in the context of the PISA-2021 program concept;

– in the development of a methodology for the pedagogical measurement of the learning outcomes of schoolchildren in solving PISA assessment tasks as part of the criteria-based assessment of students’ educational achievements;

– training teachers of mathematics in methods of teaching schoolchildren to solve mathematical problems and assignments in the context of the PISA-2021 program concept

– carrying out experimental work to determine the effectiveness of the developed methodology for teaching 15-year-old of the schoolchildren to solve PISA tasks;

– mathematical processing of the results of experimental research;

– generalization of the results of the pilot study, development of conclusions and recommendations.

Scientific director of the project:

Nurgabyl Duysebek Nurgabylluly – Doctor of Physical and Mathematical Sciences, Professor, Zhetysu University. I. Zhansugurova

Members of the research group:

  1. Seitova Sabyrkul Makashevna – Doctor of Pedagogical Sciences, Professor, Zhetysu University named after. I. Zhansugurova
  2. Kagazbayeva Aspet Kenesbekovna – Doctor of Pedagogical Sciences, Professor, Aktobe Regional University. K. Zhubanova,
  3. Gavrilova Ekaterina Nikolaevna – Doctor of PhD, Zhetysu University. I. Zhansugurova
  4. Zhailaubayeva Nazgul Nurlankyzy – doctoral student, Zhetysu University named after. I. Zhansugurova
  5. Satkulov Bakhtiyar Baglanuly – doctoral student, Zhetysu University named after. I. Zhansugurova
  6. Nurpeisov Kuanysh Sailaubayevich – master, teacher, Zhetysu University named after. I. Zhansugurova
  7. Shaken Marat Manatuly – master, teacher, Nazarbayev Intellectual School

List of publications and patents of the Project executors for the period from 2018 to 2023.

  1. Duisebek Nurgabyl, Uaisov A.B Asymptotic behavior of the solution of a singularly perturbed general boundary value problem with boundary jumps // Numerical Methods Partial Differential Equations. –2021. Volume 37, Number 3, pp. 2375-2392. DOI:10.1002 / num. 22719 ( 2020:  WoS: Quartile –Q1).
  2. Duisebek Nurgabyl, Seitova T.M. Introducing method of generalized derivative concept in mathematics // News of the national Academy of Sciences of the Republic of Kazakhstan, Physico-mathematical series. -2020 -Volume 2, Number 330, pp. 120 – 126. doi.org/10.32014/2020.2518-1726.23. ( 2021 WoS, Quartile – Q3).
  3. K.Zabieva, S.Seitova, R.Tasbolatova, Ye. Andasbayev ect. Methodology for using web technologies to develop the intellectual abilities of future mathematics teachers // Thinking Skills and Creativity» (Netherlands), ISSN 1871-1871, 2021. – Vol. 41, Article number 100904 р.1-16 (2020 Quartile – Q2) DOI:10.1016/j.tsc.2021.100904
  4. D. Toibazarov, S.Seitova The role of applied problems in the training of future mathematics teachers in the 21st // Thinking Skills and Creativity» (Netherlands), ISSN 1871-1871, 2021. – Vol. 41, Article number 100945 р.1-16. (2020: Quartile – Q1) DOI:10.1016/j.tsc.2021.100945
  5. Gavrilova, Y.N., Seitova, S.M., Kozhasheva, G.O.,  Tasbolatova R.,., Kydyrbaeva, G.T. Study results for methodological training of teachers of mathematics in conditions of innovation. Periodico Tche Quimica,  2020, 17(35),  pp. 391–403. URL: https://www.tchequimica.com/consultaen.php (2019: Quartile – Q3).
  6. Nurpeisov K.S., Nurgabyl D.N. Designing the process of teaching students to build plane sections of polyhedra // Bulletin of KazNU named after Al-Farabi, pedagogy series -2021, No. 4 (69) .- P. 138-154. https://doi.org/10.26577/JES.2021.v69.i4.13
  7. Nurpeisov K.S., Nurgabyl D.N. Construction of sections of polyhedrons by the trace method // Vestnik KazNPU im. Abai, a series of physical and mathematical sciences, -2019, No. 4.-S.86-92. KOKSINVO
  8. Zhailaubaeva N.N., Nurgabyl D.N. Formation of interdisciplinary knowledge among future teachers of mathematics through the construction of differential models // Bulletin of Toraigyrov University, pedagogical series. -2022.- No. 3. -p.134-145. https://doi.org/10.48081/YYZJ7890.
  9. Zhailaubaeva N.N., Nurgabyl D.N. Teaching algorithm for compiling differential models in the context of the formation of interdisciplinary knowledge // Bulletin of KazNPU named after Abay, pedagogy series -2022, 74(2). -p.144-154. https://doi.org/10.51889/2022-2.1728-5496.16.
  10. Shaken M.M., Nurgabyl D.N. Modeling of formative assessment of educational achievements of students // Bulletin of KazNatsZhenPU -2020, No. 4.-P.16-24.
  11. Kagazbayeva A.K. Development of students’ functional mathematical literacy [Text]: teaching-methodical tool / A. K. Kagazbayeva. – Almaty: Otan publishing house, 2018. – 92 pages

Shaken M.M., Nurgabyl D.N. Sagat, some topical issues of student education assessment based on A.B. Bloom’s taxonomy // Reports of the Kazakh Academy of Education No. 2, 2020, S. 161-170.

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