FORMATION OF UNIVERSAL COMPETENCIES IN SOLVING HAMILTON EQUATIONS IN THE COURSE OF THEORETICAL PHYSICS (MODULE “CLASSICAL MECHANICS”)
DOI: 10.23951/2307-6127-2021-1-85-91
At present, the competence-based approach is dominant in education, since it presupposes, first of all, not the self-valuable assimilation of knowledge by students, but the opportunity to use this knowledge in the learning process to solve urgent problems. The most important feature of modern education is its universality. There are universal competences in all modules of the educational program and in various activities. This work is devoted to the formation of universal competencies in the course “Theoretical Physics. Module: Classical Mechanics” for undergraduate students on the example of a section related to finding the law of body motion. The emphasis is on the approach to solving Hamilton’s equations as a system of first-order differential equations. The module “Classical Mechanics” is the initial stage of the study of theoretical physics. This section discusses various approaches to the study of the dynamics of mechanical systems, such as Newtonian mechanics, Lagrangian mechanics, and Hamilton’s canonical formalism. These approaches are equivalent, but Hamilton’s formalism has several advantages. The topic of the work is relevant for students of pedagogical universities, whose professional tasks involve the ability to search, critical analysis and synthesis of information, apply a systematic approach to solving the assigned tasks (Universal Competencies-1), generalize theoretical material and apply it to specific tasks with specific methodological goals. The purpose of the development is to help students see the similar and different points in problem solving, considering the proposed problems from a unified position. The methodological task is to form the competencies of the UC-1 group when solving the proposed tasks.
Keywords: physical and mathematical sciences, theoretical physics, classical mechanics, systems of differential equations, dynamics of physical systems, teacher training, universal competencies
References:
1. Belkina V. V., Makeyeva T. V. Kontsept universal’nykh kompetentsiy vysshego obrazovaniya [The concept of universal competences of higher education]. Yaroslavskiy pedagogicheskiy vestnik – Yaroslavl Pedagogical Bulletin, 2018, no. 5, pp. 117–126 (in Russian).
2. Tarkhanova I. Yu. Formirovaniye universal’nykh kompetentsiy obuchayushchikhsya sredstvami universitetskoy sredy [Formation of universal competencies of students by means of the university environment]. Vestnik Kostromskogo gosudarstvennogo universiteta – Vestnik of Kostroma State University, 2018, vol. 24, no. 3, pp. 123–128 (in Russian).
3. Azorkina O. D., Kirillova E. N. O formirovanii professional’nykh kompetentsiy budushchikh uchiteley fiziki na primere zanyatiya po kursu “Teoreticheskaya fizika” [On the formation of professional competencies of future physics teachers on the example of a lesson in the course “Theoretical Physics”]. Nauchno-pedagogicheskoe obozrenie – Pedagogical Review, 2019, vol. 2 (24), pp. 9–16 (in Russian). DOI: 10.23951/2307-6127-2019-2-9-16
4. Azorkina O. D., Kirillova E. N. O formirovanii universal’nykh kompetentsiy pri reshenii zadach teoreticheskoy fiziki v module “Klassicheskaya mekhanika” [On the formation of universal competencies in solving problems of theoretical physics in the module “Classical Mechanics”]. Nauchno-pedagogicheskoye obozreniye – Pedagogical Review, 2020, vol. 2 (30), pp. 121–129 (in Russian). DOI: 10 .23951/2307-6127-2020-2-121-129.
5. Rabochaya programma uchebnoy distsipliny B1.O.08.03 “Teoreticheskaya fizika” [The work program of the academic discipline B1.O.08.03 “Theoretical Physics”]. Tomsk, TSPU Publ., 2019. 9 p. (in Russian). URL: http://193.106.132.55/RPDPrint/print/1836543?reportId=72 (accessed 1 October 2020).
6. Landau L. D., Livshits E. M. Teoreticheskaya fizika: uchebnoye posobiye v 10 t. T. 1. Mekhanika [Theoretical Physics: Textbook. Manual in 10 valumess. Vol. 1. Mechanics]. Moscow, Fizmatlit Publ., 2017. 224 p. (in Russian).
7. Boronenko T. S., Bukhbinder I. L., Kruglikov V. V. Zadachi po klassicheskoy mekhanike: uchebno-metodicheskoye posobiye [Problems in Classical Mechanics: teaching guide]. Tomsk, TSPU Publ., 2003. 160 p. (in Russian).
8. Kudryavtseva N. V. Praktikum po klassicheskoy mekhanike: uchebno-metodicheskoye posobiye [Practical work on classical mechanics: teaching guide]. Tomsk, TSU Publ., 1986. 106 p. (in Russian).
9. Rabochiy uchebnyy plan po programme bakalavriata. Napravleniye podgotovki 44.03.05 “Pedagogicheskoye obrazovaniye” (s dvumya profilyami podgotovki). Napravlennosti (profili) “Matematika i Fizika” [The working curriculum for the undergraduate program. Direction of training: March 44, 2005 Pedagogical education (with two training profiles). Orientation (profiles) “Mathematics and Physics”]. Tomsk, TSPU Publ., 2020. 28 p. (in Russian). URL: https://tspu.edu.ru/files/sveden2/opop/2020-2021/FMF440305_PO2prof_MatemFiz/401/UP/UP.pdf (accessed 5 November 2020).
10. El’sgol’ts L. E. Obyknovennyye differentsial’nyye uravneniya: uchebnik dlya vuzov [Ordinary differential equations: a textbook for higher education schools]. Saint Petersburg, Lan’ Publ., 2002. 224 p. (in Russian).
11. Umnov A. Ye., Umnov Ye. A. Osnovy teorii obyknovennykh differentsial’nykh uravneniy [Fundamentals of the theory of ordinary differential equations]. Moscow, MFTI Publ., 2017. 304 p. (in Russian).
( 433.68 kB ) 
( 422.2 kB )
Issue: 1, 2021
Series of issue: Issue 1
Rubric: ISSUES OF EDUCATION
Pages: 85 — 91
Downloads: 593