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UDC 37.013

DOI: 10.15507/1991-9468.086.021.201701.008-018

 

SYNERGY OF HUMANITARIAN AND MATHEMATICAL KNOWLEDGE AS A PEDAGOGICAL CONDITION FOR SOLVING INTERDISCIPLINARY PROBLEMS

Svetlana N. Dvoryatkina
Professor, Chair of Mathematics and Teaching Methods, Bunin Yelets State University (28 Kommunarov St., Yelets 399770, Russia), Dr.Sci. (Pedagogy), ORCID: http://orcid.org/0000-0001-7823-7751 , This email address is being protected from spambots. You need JavaScript enabled to view it.

Angelika A. Dyakina
Professor, Chair of Philosophy and Social Sciences, Bunin Yelets State University (28 Kommunarov St., Yelets 399770, Russia), Dr.Sci. (Philology), ORCID: http://orcid.org/0000-0002-6319-6966, This email address is being protected from spambots. You need JavaScript enabled to view it.

Svetlana A. Rozanova
Professor, Chair of Higher Mathematics, Moscow Technological University (78 Prospekt Vernadskogo, Moscow 119602, Russia), Dr.Sci. (Pedagogy), ORCID: http://orcid.org/0000-0002-6069-8899, This email address is being protected from spambots. You need JavaScript enabled to view it.

Introduction: the article is concerned with the topical problem of the humanitarian and mathematical knowledge synergy in the context of solving important crosscutting issues. Since the authors have given a theoretical justification of mathematical integration of humanitarian and information knowledge and its implementation in the educational activities of universities. There is a description of the genesis and the main aspects of synergy. It is shown that the synergy of mathematical and humanitarian knowledge with using information technology is the complex educational environment dominant approach to many inter¬disciplinary problems.
Materials and Methods: the synergetic approach is a conceptual framework for solving cross-cutting problems. The initial, exploratory and training options of the experimental research method are used to identify synergies problems of humanitarian and mathematical knowledge; mathematical modeling method is applied in solving professional problems for the development of a probabilistic model of analysis and comparison of styles of text works.
Results: the complex of pedagogical conditions is defined, substantiated and tested, taking into account the dominant synergy of humanitarian and mathematical knowledge through the developed integrative course. The draft of the integrative course “Mathematical Methods in Linguistics” is presented; the optimum modular structure of the course is defined (“Formation of Modern Mathematics as a New Cultural Paradigm”, “Basic Mathematical Concepts in Linguistics”, “Mathematical Methods in Linguistics”); the essential elements of every mathematical module are practice-oriented tasks of philol ogical contents.
Discussion and Conclusions: the synergy of mathematics and humanities is highly productive thing in scientific and research activities of students and in the learning process. The submitted materials can be included in lectures, practical exercises, integrative and interdisciplinary academic programmes.

Keywords: synergy; pedagogical condition; mathematical model; the integration of mathematics with the humanities; comparison of styles; software product of text identification; information technology

Acknowledgements: The research was supported by grant from the Russian Science Foundation (Project no. 16-18-10304).

For citation: Dvoryatkina SN, Dyakina AA, Rozanova SA. Synergy of humanitarian and mathematical knowledge as a pedagogical condition for solving interdisciplinary problems. Integratsiya obrazovaniya = Integration of Education. 2017; 1(21):8-18. DOI: 10.15507/1991- 9468.086.021.201701.008-018

Contribution of the authors: Svetlana N. Dvoryatkina developed the theoretical and methodical framework of research, elaborated the mathematical model of text identification and its software realisation on C# and participated in drafting the integrative course programme. Angelika A. Dyakina analysed and compared the text styles; determined prospects of research in humanitarian fields. Svetlana A. Rozanova formulated the problem of the article and defined the main methods of solution; participated in development of the integrative course programme; updated the applications of results in various forms of educational process, managed common research work.

All authors have read and approved the final manuscript.

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