DIFFERENTIAL EQUATIONS IN THE PROFESSIONAL TRAINING OF MATHEMATICS TEACHER
DOI: 10.23951/1609-624X-2017-1-75-78
The paper presents the results of research on the study of the course of ordinary differential equations and partial differential equations in the context of the competency approach to training future math teachers. As is known, models of real processes can be described in the language of mathematics, including by means of ordinary differential equations and partial differential equations. Ability to create such mathematical models and work with them is an integral part of the human culture. Thereby it is necessary to search for new approaches to the training of maths teachers, aimed at the formation of ideas about the role of models and modeling. In this connection the course of differential equations is essential means in attracting students to research work and for the formation of professional competence of the future teacher of mathematics. The course of differential equations plays a fundamental role in the professional training of mathematics teacher in terms of understanding the gist of the application and the practical orientation of teaching mathematics, mastery of the method of mathematical modeling. The course of differential equations and its methods give another tool for knowledge of the world, which allows to create a scientific understanding of the real physical space. The results presented in the paper allow us to conclude, that the involvement of students in research work in the framework of the course of differential equations not only promotes the overall development and professional training of the future teacher of mathematics, but also getting completely new results are important in the modern theory of differential equations and theoretical physics.
Keywords: professional training of future maths teacher, professional competence, differential equations
References:
1. Kharina N. V. Professional’noye obrazovaniye v Rossii: problemy, puti resheniya [Vocational education in Russia: problems and solutions]. Nauchno-pedagogicheskoye obozreniye – Pedagogical Review, 2013, no. 1, pp. 8–15 (in Russian).
2. Salekhova L. L., Zaripov F. Sh., Khusnetdinova D. M. Proektirovaniye osnovnoy obrazovatel’noy programmy podgotovki budushchikh uchiteley matematiki i informatiki na osnove FGOS [Design of basic educational training program for future teachers of mathematics and computer science on the basis of the FSES]. Materialy Vserossiyskoy nauchno-prakticheskoy konferentsii s mezhdunarodnym uchastiem “Matematicheskoye obrazovaniye v shkole i vuze v usloviyakh perekhoda na novye obrazovatel’nye standarty” [Materials of All-Russian scientific-practical conference with international participation “Mathematics education in schools and universities in the transition to new educational standards”]. 2010. рp. 152–155 (in Russian).
3. Zolottseva V. V., Kozlova L. N. Sistema aktivnykh metodov obucheniya i razvitiye professional’noy kompetentnosti [The system of active methods of training and development of professional competence]. Sredneye professional’noye obrazovaniye - Secondary Vocational Education, 2007, no. 4, pp. 28–31 (in Russian).
4. Zhidova L. A. Umeniya kriticheskogo myshleniya kak sredstvo povysheniya kachestva professional’noy podgotovki budushchikh uchiteley matematiki [Abilities of critical thinking as a tool to raise the quality of professional training of future mathematics teachers]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2009, no 4 (82), pp. 42–45 (in Russian).
5. Mordkovich A. G. Algebra: 7 klass: v 2 ch. Ch. 1: uchebnik dlya uchashchikhsya obshcheobrazovatel’nykh uchrezhdeniy [Algebra. Grade 7: in 2 parts. Part 1: textbook for students of educational institutions]. Moscow, Mnemozina Publ., 2013. 175 p. (in Russian).
6. Kamke Dr. E. Differentialgleichungen lösungsmethoden und lösungen Partielle differentialgleichungen erster ordnung für eine gesuchte funktion, Leipzig, 1959, 260 p. (Russ. Ed.: Spravochnik po differentsial‘nym uravneniyam v chastnykh proizvodnykh pervogo poryadka: per. s nem. Moscow, Nauka Publ., 1966. 260 p.).
7. Kurant R. Uravneniya s chastnymi proizvodnymi [Partial differential equations]. Moscow, Mir Publ., 1964. 830 p. (in Russian).
8. Stepanov V. V. Kurs differentsial’nykh uravneniy [The course of differential equations]. Moscow, Izdatel’stvo fiziko-matematicheskoy literatury Publ., 1965. 512 p. (in Russian).
9. Zaytsev V. F., Polyanin A. D. Spravochnik po differentsial’nym uravneniyam v chastnykh proizvodnykh pervogo poryadka [Reference book on differential equations in partial derivatives]. Moscow, Izdatel’stvo fiziko-matematicheskoy literatury Publ. 2003. 416 p. (in Russian).
10. Lavrov P. M., Merzlikin B. S. Legendre transformations and Clairaut-type equations. Physics Letters. B756. 2016. рр. 188–193.
( 1010.53 kB ) 
( 363.54 kB )
Issue: 1, 2017
Series of issue: Issue 1
Rubric: TRAINING OF FUTURE TEACHERS
Pages: 75 — 78
Downloads: 1426