november 20, 2024

RU/EN

Headings of Vestnik

April 2020, № 2 (225), pages 12-17

doi: 10.25198/1814-6457-225-12

Gerasimenko S.A., Pavlenko A.N. ORGANIZATION OF THE MATHEMATICAL CYCLE DISCIPLINES PROPAEDEUTIC STUDY OF NATURAL SCIENTIFIC AND ENGINEERING DIRECTIONSCurrently, the main trends in the reform of higher education naturally lead to a significant reduction of the part of classroom studies in the educational process, which is extremely negative for the study of the mathematical cycle disciplines due to their abstraction and often cumbersome presentation of the material. Thus, there is a need to increase the effectiveness of contact work and to strengthen the role of students’ independent work.
One of the factors contributing to an increase in the effectiveness of contact work is independent propaedeutic consideration of the material under study.
The approach to organizing extracurricular independent work in the propaedeutic study of the mathematical cycle disciplines by students of natural sciences and engineering should include the following steps: recalling the facts previously studied, presenting the natural science (engineering) applications in their historical retrospective and presenting the main ideas of this section. The latter is supposed to be performed the most clearly, with the maximum use of interdiscipline relations.
To increase the effectiveness of propaedeutic independent work, it is advisable to use appropriate methodological support. As the latter (depending on the section under study), you can use interactive study guide integrated with applications written in various high-level languages, presentations, educational films and study guide in written form.
Thus, the preliminary acquaintance with the new mathematical section should be during extracurricular independent work with the widespread use of interactive teaching technologies.Key words: independent work, propaedeutic study, information technology, methods of teaching mathematics in high school.

Download

References:

1. Schukajlow, Stanislaw; Rakoczy, Katrin; Pekrun, Reinhard Emotions and motivation in mathematics education. Theoretical considerations and empirical contributions formal und inhaltlich überarbeitete Version der Originalveröffentlichung in: formally and content revised edition of the original source in: ZDM : the international journal on mathematics education 49 (2017) 3, S. 307-322.

2. Fichtenholtz, G.M. The course of differential and integral calculus / G. M. Fichtenholtz. — Moscow: Fizmatlit, V. 1. — 2007. — 680 p. — ISBN 978-5-9221-0436-4, V. 2 — 2006. — 864 p. — ISBN 978-5-9221-0466-1, V. 3 — 2008. — 728 p. — ISBN 5-9221-0737-2.

3. Bermant, A.F. A short course in mathematical analysis: textbook. for universities / A.F. Bermant, I.G. Aramanovich. — 11th ed. — St. Petersburg: Lan, 2005. — 736 p. — (Textbooks for universities. Special literature). — Bibliography: p. 736. — ISBN 5-8114-0499-9.

4. All higher mathematics: textbook. for universities / M. L. Krasnov [et al.] — Moscow: Editorial URSS, 2000-2001. — ISBN 5-8360-0150-2, V. 1: Analytical geometry. Vector Algebra. Linear algebra. Differential calculus, 2000. — 328 p. — ISBN 5-8360-0151-0, V. 2: Integral calculus. Differential calculus of functions of several variables. Differential Geometry, 2000. — 184 p. — ISBN 5-8360-0152-9, V. 3: Series Theory. Ordinary Differential Equations, 2001. — 240 p. — ISBN 5-8360-0153-7, V. 4: Multiple and curvilinear integrals. Vector analysis. The functions of a complex variable. Partial Differential Equations, 2001. — 352 p. — ISBN 5-8360-0154-5.

5. Chaplygin, S. A. Propaedeutic course of mechanics / S.A. Chaplygin. — ed. 2nd. — Moscow: State Publishing House, 1923. — 242 p.

6. Sazonov, V.N. The propaedeutic course of mathematical analysis: lecture notes / V.N. Sazonov. — Moscow: MSII, 1989. — 52 p.

7. Kuznetsova, V.A. About the expediency of an introductory propaedeutic course at the university / V.A. Kuznetsova // Vestnik Tambov State University. — 2003. — №3, V. 8. — P. 406.

8. Temnikova I.S. The restoration of school and propaedeutics of university mathematical knowledge using computer-aided learning tools: materials of the International Scientific and Practical Conference “Information Technologies in Education and Basic Sciences (ITO-Volga-2007)”, Kazan June 18-21, 2007 / TSSPU, Kazan.

9. Pavlenko, A.N. On the feasibility of using lecture classes of a propaedeutic nature with the use of multimedia technologies in the study of mathematical disciplines of natural sciences [Electronic resource] / A.N. Pavlenko, O.A. Pikhtilkova // University complex as a regional center of education, science and culture: materials of All-Russian scientific method. conf. / Orenburg state university — Orenburg, 2017 — P. 2702-2706.

10. Pavlenko, A.N. On the feasibility of using lecture classes of a propaedeutic nature in the study of mathematical disciplines in the humanities [Electronic resource] / A.N. Pavlenko, O.A. Pikhtilkova // University complex as a regional center of education, science and culture: materials of All-Russian scientific method. conf. / Orenburg state university — Orenburg, 2019 — P. 1920-1923.

11. Propaedeutic Studies in Mathematics, Computer Sciences and Physics https://www.uni-goettingen.de/en/propaedeutic+studies+in+mathematics%2c+computer+sciences+and+physics/367949.html

12. Mosyagina N.G., Shildyaeva L.V. Organization of the educational process, taking into account the increase in students’ independent work // Successes in modern science. 2009. №11, P. 98.

13. Cho M. H., Heron M. L. Self-regulated learning: the role of motivation, emotion, and use of learning strategies in students’ learning experiences in a self-paced online mathematics course //Distance Education. — 2015. — V. 36. — №1. — P. 80-99.

14. Pavlenko, A.N. On the feasibility of using lecture classes of a propaedeutic nature with the use of multimedia technologies in the study of mathematical disciplines of natural sciences [Electronic resource] / A.N. Pavlenko, O.A. Pikhtilkova // University complex as a regional center of education, science and culture: materials of All-Russian scientific method. conf. / Orenburg state university — Orenburg, 2017. — P. 2702-2706.

15. Equations with partial derivatives for scientists and engineers / S. Farlow; Transfer. from English A.I. Plis; Ed. S.I. Pokhozhaev. — Moscow: Mir, 1985. — 383 p.

16. Collection of individual tasks in higher mathematics: part 1 / A.P. Ryabushko and others; Under the total ed. A.P. Ryabushko. — Minsk: Higher school, 1990 — 270 p.

17. Wentzel E. S. Probability theory: a textbook for students universities. / E.S. Wentzel. — Moscow: Publishing Center “Academy”, 2005. — 576 p.

18. Ohorzin, V. A. Applied mathematics in the MATHCAD system: textbook. manual for universities / V. A. Ohorzin. — 3rd ed., Erased. — St. Petersburg: Lan, 2009. — 349 p. — App.: p. 332-340. — Bibliography: p. 341-342. — ISBN 978-5-8114-0814-6.

19. Sekey, G. Paradoxes in probability theory and mathematical statistics. / G. Sekey. — Moscow: Mir, 1990. — 240 p.

20. Kruchinin, V.V. Using AND / OR trees to generate questions and tasks // Bulletin of Tomsk State University. — 2004. — №284. — P 183-186.

21. Laptev, V.V. Generation of task options for laboratory programming work / V.V. Laptev, V.V. Tolasova // Bulletin of the Astrakhan State Technical University. Series: Management, Computing and Informatics. — 2010. — №1. — P. 127-131.

22. Zorin, Yu.A. The use of combinatorial generation algorithms in the construction of test task generators // Distance and virtual learning. — 2013. — №6. — P. 54 — 59.

About this article

Authors: Gerasimenko S.A., Pavlenko A.N.

Year: 2020

doi: 10.25198/1814-6457-225-12

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
Зарегистрировано в Федеральной службе по надзору в сфере связи, информационных технологий и массовых коммуникаций
Свидетельство о регистрации СМИ: Эл № ФС77-37678 от 29 сентября 2009 г.
Учредитель: Оренбургский государственный университет (ОГУ)
Главный редактор: С.А. Мирошников
Адрес редакции: 460018, г. Оренбург, проспект Победы, д. 13, к. 2335
Тел./факс: (3532)37-27-78 E-mail: vestnik@mail.osu.ru