PROBLEM-BASED TEACHING OF ADVANCED MATHEMATICS AT THE UNIVERSITY


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Abstract

The relevance of the research topic is caused by the wide possibilities of problem-based teaching while training a specialist having competencies formulated by FSES. The problem-based training during lectures and practical classes in higher mathematics is a method of improvement of the effectiveness of training and the development of a student’s personality. The goal of the study is to develop the methodological materials for lectures and practical classes using the problem-based teaching while studying higher mathematics by the university students. The paper highlights the main blocks of implementation of problem-based learning during the classes with the students. The first block is related to the creation of a problem-based situation in a lecture or practical class. This block includes the elements of problem-based learning directly related to a problem situation. The second block is related to the delivering a problem lecture or a problem practical class in higher mathematics. This block includes the elements of problem-based learning directly related to the organization and carrying out of a training session.

The paper presents the fragments of lectures organized with the application of problem-based training on the following topics: “Primitive” (the creation of a problem situation through a practical task); “Multiplication of matrices” (the creation of a problem situation on the basis of generalization of available particular knowledge); “Determinants” (the creation of a problem situation through identifying and analyzing different points of view on the same issue); “Systems of linear algebraic equations” (the creation of a problem situation through the search for new ways of practical application of this fact); “Improper integral of the second kind” (the situations that arise when the students perform the supportive learning tasks are used as the problem ones).

About the authors

Natalya Anatolievna Demchenkova

Togliatti State University, Togliatti

Author for correspondence.
Email: ndemchenkova@yandex.ru

PhD (Pedagogy), Associate Professor, assistant professor of Chair “Higher Mathematics and Mathematical Education”

Russian Federation

Sofiya Gennadievna Emelyanova

Togliatti State University, Togliatti

Email: esg1979@mail.ru

senior lecturer of Chair “Higher Mathematics and Mathematical Education”

Russian Federation

References

  1. RF. Federal State Educational Standard of higher vocational education for training program 15.03.01 Machine Engineering (qualification (degree) “Bachelor”) dated the 3rd of December 2015 № 957. (In Russ.)
  2. Makhmutov M.I. Problemnoe obuchenie. Osnovnye voprosy teorii [Problem-Based Learning. Key Theoretical Issues]. Moscow, Pedagogika Publ., 1975. 368 p.
  3. Okon V. Osnovy problemnogo obucheniya [Problem-based learning foundation]. Moscow, Prosveshchenie Publ., 1968. 208 p.
  4. Skatkin M.N. Problemy sovremennoy didaktiki [Problems of Modern Didactics]. Moscow, Pedagogika Publ., 1980. 96 p.
  5. Krupich V.I. Teoreticheskie osnovy obucheniya resheniyu shkolnykh matematicheskikh zadach [Theoretical foundations of teaching of solving of school mathematical tasks]. Moscow, Prometey Publ., 1995. 210 p.
  6. Andryushechkin S.M. Tekhnologiya problemnogo obucheniya v sredney shkole: na materiale kursa fiziki 7–8 klassov [The technology of problem-based teaching in secondary school: on the material of physics course for 7–8 grades]. Petropavlovsk, Inform-Vest Publ., 2008. 79 p.
  7. Kochnev V.P., Novoselov S.A. Development of the students’ creative abilities in the process of mathematic modeling of problem situations with natural science character. Pedagogicheskoe obrazovanie v Rossii, 2011, no. 3, pp. 139–146.
  8. Nikitina E.Yu. Educational environment for implementation of problem-based approach when teaching physics at the university. Izvestiya Rossiyskogo gosudarstvennogo pedagogicheskogo universiteta im. A.I. Gertsena, 2007, vol. 14, no. 37, pp. 289–294.
  9. Pozdnyakov O.G. Realization of problem-based learning in the higher educational institutions educational process. Mir obrazovaniya – obrazovanie v mire, 2014, no. 2, pp. 270–273.
  10. Spitsnadel V.N. Problematic situation in higher education. Uchenye zapiski Mezhdunarodnogo bankovskogo instituta, 2014, no. 8-2, pp. 209–216.
  11. Chernenkova I.I. Problem lecture as a method of implementation of the competency-based approach in the process of psychological and educational training of bachelors of an agrarian university. Vestnik Bryanskoy gosudarstvennoy selskokhozyaystvennoy akademii, 2014, no. 6, pp. 16–17.
  12. Morozova V.N. Outstanding problems of scientific research of the college teacher. Psikhologo-pedagogicheskiy zhurnal Gaudeamus, 2014, no. 1, pp. 33–37.
  13. Zhigalova I.A., Martynova I.I. Relevance of Future Municipal Management Experts’ Professional Competence Forming By Means of Problem-Based Learning. Vestnik Chelyabinskogo gosudarstvennogo pedagogicheskogo universiteta, 2013, no. 1, pp. 70–78.
  14. Savery J.R. Overview of Problem-based Learning: Definitions and Distinctions. The interdisciplinary journal of problem-based learning, 2006, vol. 1, no. 1, pp. 9–20.
  15. Problem-Based Learning. Speaking of teaching, 2001, vol. 11, no. 1, pp. 1–8.
  16. El-Shaer A., Gaber H. Impact of Problem-Based Learning on Students’ Critical Thinking Dispositions, Knowledge Acquisition and Retention. Journal of Education and Practice, 2014, vol. 5, no. 14, pp. 74–86.
  17. Demchenkova N.A. Training of future teachers to the problem of teaching mathematics. Vektor nauki Tolyattinskogo gosudarstvennogo universiteta. Seriya: Pedagogika, psikhologiya, 2014, no. 1, pp. 66–69.
  18. Kharlamova T.I. The contradictions of modern educational technologies and the problem training. Izvestiya Moskovskogo gosudarstvennogo tekhnicheskogo universiteta MAMI, 2012, vol. 3, no. 2, pp. 309–316.
  19. Monakhov V.M. Vvedenie v teoriyu pedagogicheskikh tekhnologiy [Introduction to the theory of pedagogical technologies]. Volgograd, Peremena Publ., 2006. 318 p.
  20. Emelyanova S.G. Technology problem-based learning higher mathematics bachelors of the university. Matematika: fundamentalnye i prikladnye issledovaniya i voprosy obrazovaniya: sbornik materialov Mezhdunarodnoy nauchno-prakticheskoy konferentsii. Ryazan, RGU imeni S.A. Esenina Publ., 2016, pp. 381–386.

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