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June 2017, № 7 (207), pages 3-9

Antsiferova L.M., Zubova I.K., Ostraya O.V. ABOUT THE COURSE OF THE HISTORY OF APPLIED MATHEMATICS FOR STUDENTS IN THE MASTER'S DEGREE PROGRAMME IN FIELD OF EDUCATION “APPLIED MATHEMATICS AND INFORMATICS”The basic principle of the so-called historical-genetic method of teaching mathematics is that the formation of mathematical knowledge the individual must in some sense repeat the historical path of formation of knowledge of all men in mathematics. In a relatively short period of training the student may not thoroughly understand all the details of the history of formation of mathematics as a scientific discipline. However, the basic reference points of its development should be known and should help in mastering the basics of this science. Historical-genetic method in teaching mathematical disciplines usually oppose logical method that does not involve a waste-to-side from a logically rigorous construction of the theory. Limiting this method in the educational process, teachers are often faced not only with the loss of student interest in the subject, but with the lack of understanding of the purpose of his study. Given this, we believe that in teaching mathematics it is reasonable to combine these two methods. Developed the course “History and methodology of applied mathematics” for students of specialty “mathematics” is treated as part of the introduction to the profession for students at the master's degree. It attempts to familiarize the reader with the basics of some aspects of mechanics and at the same time the history of the formation of the relevant scientific theories. The course is structured really helps students in learning new knowledge in new elds.Key words: historical-genetic and logical methods of teaching mathematical disciplines, the history of mathematics, the history of mechanics, the origins of the theory of elasticity, the birth of hydromechanics.

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References:

1. Anciferova, L.M. Nauchno-issledovatel'skaya deyatel'nost' studentov i starsheklassnikov v preemstvennom matematicheskom obrazovanii / L.M. Anciferova // Vestnik OGU. — №7(156). — 2013. — S. 184—189.

2. Skvorcova, O.V. Izmerenie cennostnyh orientirov matematicheskoj podgotovki v sovremennom obshchestve / O.V.Skvorcova // Alma mater (Vestnik vysshej shkoly). — 2009. — №1. — S. 17—29.

3. Bogolyubov, A.N. Mekhanika v istorii chelovechestva / A.N. Bogolyubov. — M.: Nauka, 1978. — 150 s.

4. Bogolyubov, A.N. Matematiki. Mekhaniki. Biograficheskij spravochnik / A.N. Bogolyubov. — Kiev: Naukova dumka, 1983. — 68 s.

5. Veselovskij, I.N. Ocherki po istorii teoreticheskoj mekhaniki / I.N. Veselovskij. — M.: Vyssh. shk., 1974. — 287 s.

6. Drozdov, N.D. Istoriya i metodologiya prikladnoj matematiki / N.D. Drozdov. — Tver': Tver. gos. un-t, 2006 — 303 s.

7. Mihalkin, V. Novyj obshchenauchnyj kurs / V. Mihalkin // Vysshee obrazovanie v Rossii. — 2002. — №5. — S. 111—113.

8. Koval'chenko, I.D. Metody istoricheskogo issledovaniya / I.D. Koval'chenko. — M.: Izd-vo “Nauka”, 2003. — 486 s.

9. Trusdell, K. Ocherki po istorii mekhaniki / K. Trusdell. — M.: Izhevsk: In-t komp'yuter. issled., 2002. — 316 s.

10. Tyulina, I.A. Istoriya mekhaniki / I.A. Tyulina, V.N. CHinenova. — M.: izd-vo MGU, 2002. — 285 s.

11. SHeremetevskij, V.P. Ocherki po istorii matematiki / V.P. SHeremetevskij. — M: Editorial URSS, 2004. — 184 s.

12. Abbitt, J.T. Measuring Technological Pedagogical Content Knowledge in Preservice Teacher Education / J.T. Abbitt // A Review of Current Methods and Instruments. — 2014. — V. 2. — P. 281—300.

13. Canziani, B. What pedagogical methods impact students entrepreneurial propensity? / B. Canziani, D. Welsh // Journal of Small Business Strategy. — 2015. — V. 45. — P. 97—113.

14. Foss, D.H. Preservice elementary teachers’ views of pedagogical and mathematical content knowledge / D.H. Foss // Teaching and Teacher Education. — 1996. — V. 12. — P. 429—442.

15. Grattan-Guinnes, G. The development of the Foundation of Mathematical Analysis from Euler to Rieman. — Cambridge (Mass.) — London, 1970.

16. Hill, H.C. Learning Mathematics for Teaching: Results from California’s Mathematics Professional Development Institutes / H.C. Hill, D.L. Ball // Journal for Research in Mathematics Education. — 2004. — V. 35. — P. 330—351.

17. Ketil, A. Experiences with use of various pedagogical methods utilizing a student response system / A. Ketil, G. Korpas, J.E. Hennissen, J.B. Stav // Electronic Journal of e-Learning. — 2013. — V. 11. — P. 169—181.

18. Kilburn, D. Learning as Researchers and Teachers: The Development of a Pedagogical Culture for Social Science Research Methods? / D. Kilburn, M. Nind, R. Wiles // British Journal of Educational Studies. — 2014. — V. 62. — P. 191—207.

19. Merseth, K. Weaving stronger fabric: The pedagogical promise of hypermedia and case methods in teacher education / K. Merseth // Teaching and Teacher Education. — 1993. — V. 9. — P. 283—299.

20. Todhunter, I. A History of Elasticity and of the Strenht of Matherials / I. Todhunter, K. Pearson. — T. 1. — Cambridge, 1886.

21. Truesdall, C. The Rational Mechanics of Flexible or Elastic Bodies / C. Truesdall // L. Euleri Opera omnia. — Ser. 2. — V. XI(1)-XI(2). — Turici, 1960.

22. Truesdall, C. Six Lectures on Modern Natural Philosophy / C. Truesdall. — Berlin, 1966.

23. Hasan, F.M. Boundary integral method applied to the propagation of non-linear gravity waves generated by a moving bottom / F.M. Hasan // Applied Mathematical Modelling. — 2009. — V. 33. — P. 451—466.

24. Robati, A. Modeling of water surface profile in subterranean channel by differential quadrature method (DQM) / A. Robati, G.A. Barani // Applied Mathematical Modelling. — 2009. — V. 33. — P. 1295—1305.

25. Wagner, C. The state of the art of teaching research methods in the social sciences: towards a pedagogical culture / C. Wagner, M. Garner, B. Kawulich // Studies in Higher Education. — 2011. — V. 36. — P. 75—88.

About this article

Authors: Antsiferova L.M., Zubova I.K., Ostraya O.V.

Year: 2017

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

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