Interdisciplinary Connections in the General Course of Higher Mathematics

 
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Abstract

The article discusses the methods of teaching higher mathematics, arising at the modern level of education in our country. The author relies on his experience working at the Faculty of Information Technologies of the Moscow State Psychological and Pedagogical University.

General Information

Keywords: interdisciplinary relations, higher education, methods of teaching mathematics, elementary mathematics, analytical geometry, mathematical analysis, complex analysis, functional analysis, general algebra, linear algebra, differential equations, equations of mathematical physics, combinatorics, probability theory, number theory, mathematical decision theory, group theory, mathematical logic, discrete mathematics, computational mathematics.

Journal rubric: Method of Teaching

OpenAlex citations: 1

OpenAlex trends: Educational Innovations and Challenges, Educational Methods and Teacher Development, Education and Professional Development

Information about the work in OpenAlex

Number of citations: 1

Topics

Educational Innovations and Challenges

This cluster of papers explores the digital transformation and its impact on higher education institutions, focusing on topics such as educational technology, distance learning, e-learning, university management, and student experience. It discusses the challenges, opportunities, and risks associated with the integration of digital technologies in higher education, as well as the pedagogical approaches driving this transformation.

Number of works: 86064  |  Total number of citations: 128385

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Educational Methods and Teacher Development

This cluster of papers covers a wide range of topics related to innovative approaches in education, technology integration, and sustainable development. It includes research on online learning, teacher training, curriculum design, cognitive development, digital literacy, and the impact of technology on education. The cluster also explores the role of education in adapting to global challenges such as the COVID-19 pandemic and emphasizes the importance of sustainable consumption of energy resources.

Number of works: 53051  |  Total number of citations: 78907

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Education and Professional Development

This cluster of papers explores trends in higher education, focusing on digitalization, pedagogical innovation, professional development, educational technology, sustainability, entrepreneurship, student-centered learning, e-learning, and educational management.

Number of works: 15495  |  Total number of citations: 24995

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Work details in OpenAlex

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2021110206

Published

For citation: Stepanov, M.E. (2021). Interdisciplinary Connections in the General Course of Higher Mathematics. Modelling and Data Analysis, 11(2), 89–123. (In Russ.). https://doi.org/10.17759/mda.2021110206

© Stepanov M.E., 2021

License: CC BY-NC 4.0

References

  1. Stepanov M.E. Nekotorye voprosy metodiki prepodavaniya vysshei ma-tematiki. Modelirovanie i analiz dannykh. Nauchnyi zhurnal. – 2017g.
  2. Kulanin E.D., Stepanov M.E., Nurkaeva I.M. Rol’ obraznogo myshleniya v nauchnom myshle- nii. Modelirovanie i analiz dannykh. Nauchnyi zhurnal. – 2020g., Tom 10, № 2.
  3. Stepanov M.E. Komp’yuternye tekhnologii kak sredstvo priobshcheniya uchashchegosya k matem- aticheskoi real’nosti. Modelirovanie i analiz dan-nykh. Nauchnyi zhurnal. – 2018g., № 1.
  4. Arnol’d V.I. Obyknovennye differentsial’nye uravneniya. M., Nauka, 1971.
  5. D’edonne Zh. Lineinaya algebra i elementarnaya geometriya. M., Nauka, 1972.
  6. Khinchin A. Ya. Tri zhemchuzhiny teorii chisel. M., Nauka, 1979.
  7. Stepanov M.E. Metod slozhnykh dvizhenii v komp’yuternoi geometrii. Modelirovanie i analiz dannykh. Nauchnyi zhurnal. – Vyp. 1, 2011g.
  8. Glazman I.M., Lyubich Yu. I. Konechnomernyi lineinyi analiz v zadachakh. M., Nauka, 1969.
  9. Spivak M. Matematicheskii analiz na mnogoobraziyakh. M., Mir, 1968.
  10. Gel’fond A.O. Ischislenie konechnykh raznostei. M., Nauka, 1967.
  11. Kulanin E.D., Stepanov M.E., Nurkaeva I.M. Propedevtika resheniya ekstremal’nykh zadach v shkol’nom kurse matematiki. Modelirovanie i analiz dannykh. Nauchnyi zhurnal. –2019g., № 4.

Information About the Authors

Mikhail E. Stepanov, Candidate of Science (Education), Associate Professor, Department of Applied Mathematics, Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0003-4803-8211, e-mail: mestepanov@yandex.ru

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