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DOI: 10.15507/1991-9468.090.022.201801.193-206


Methodological Approaches to Experimental Teaching of Mathematics to University Students  


Nikolay I. Popov
Head of Chair of Physico-Mathematical and IT Education, Pitirim Sorokin Syktyvkar State University (55 Oktyabarskiy Prospekt, Syktyvkar 167001, Russia), Dr.Sci. (Pedagogy), Ph.D. (Physics and Mathematics), ORCID: http://orcid.org/0000-0001-5310-4485, Researcher ID: P-7428-2015, This email address is being protected from spambots. You need JavaScript enabled to view it.

Elena N. Nikiforova
Seniour Lecture of Chair of Mathematical Analysis and Theory of Functions, Mari State University (1 Lenin Sq., Yoshkar-Ola 424000, Russia), ORCID: http://orcid.org/0000-0003-2402-4317, Researcher ID: P-8776-2015, This email address is being protected from spambots. You need JavaScript enabled to view it.

Introduction: the article imparts authors’ thoughtson a new teaching methodology for mathematical education in universities. The aim of the study is to substantiate the efficiency of the comprehensive usage of mathematical electronic courses, computer tests, original textbooks and methodologies when teaching mathematics to future agrarian engineers. The authors consider this implementation a unified educational process.
Materials and Methods: the synthesis of international and domestic pedagogical experience of teaching students in university and the following methods of empirical research were used: pedagogical experiment, pedagogical measurementsand experimental teaching of mathematics. The authors applied the methodology of revealing interdisciplinary links on the continuum of mathematical problems using the key examples and exercises.
Results: the online course “Mathematics” was designed and developed on the platform of Learning Management System Moodle. The article presents the results of test assignments assessing students’ intellectual abilities and analysis of solutions of various types of mathematical problems by students. The pedagogical experiment substantiated the integrated selection of textbooks, online course and online tests using the methodology of determination of the key examples and exercises.
Discussion and Conclusions: the analysis of the experimental work suggested that the new methodology is able to have positive effect on the learning process. The learning programme determined the problem points for each student. The findings of this study have a number of important implications for future educational practice.

Keywords: experimental teaching of Mathematics, online course, inter-disciplinary links, key example, pedagogical experiment, computer test

For citation: Popov N.I., Nikiforova E.N. Methodological Approaches to Experimental Teaching of Mathematics to University Students. Integratsiya obrazovaniya = Integration of Education. 2018; 22(1):193-206. DOI: 10.15507/1991-9468.090.022.201801.193-206

Contribution of the authors: Popov N.I. – research and project management; development of methodology; critical analysis and final editing the text. Nikiforova E.N. – collecting the data; computer processing; writing the draft; conducting the experiment.

All authors have read and approved the final manuscript. 

Submitted 19.07.2017; revised 24.11.2017; published online 30.03.2018.


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