COMPARATIVE ANALYSIS OF THE EFFECTIVENESS OF EDUCATIONAL METHODS ON THE EXAMPLE OF TEACHING THE PROBABILITY THEORY AND MATHEMATICAL STATISTICS
DOI: 10.23951/1609-624X-2017-4-49-56
Teaching of mathematical disciplines in Russian universities has traditionally been based largely on the classic teaching methods (explanatory-illustrative and instructive-reproductive). Of course, the design of programmed instruction, as well as development of simulated and game methods of training is a very time consuming process. However, these training methods can dramatically improve the cognitive interest of students, their responsibility for the result, contribute to the development of skills both individual and collective work. (When using the programmed instruction the pace of learning is individual; in conducting the educational and business games we can develop the ability to act as a team). The effectiveness of innovative interactive methods (programmed instruction, “mathematical fights” and business games) requires not only logical basis, but also the statistical verification. The article studies the effect of the application of some interactive teaching technologies at the results of the students mastering the course of probability theory and mathematical statistics. The pedagogical experiment contained a comparison between one control group and two experimental groups in which these learning technologies were applied. The analysis was based on statistical hypothesis testing using t-test and Wilcoxon criterion. A marked increase in the knowledge quality associated with the use of innovative teaching methods and identified through the use of module-rating system, finds its confirmation in the results of the interim tests and final exam grade. The average exam score (on a 5-point scale) was as follows: 3.3 points for the control group and 3.45–3.6 points for the experimental groups.
Keywords: interactive learning technology, module-rating system, control and evaluation activities, pedagogical experiment, statistical hypothesis testing
References:
1. Gefan G. D. Problemnoye obucheniye matematike studentov nematematicheskikh spetsial’nostey i napravleniy podgotovki vysshego obrazovaniya [Problem-based maths teaching to students of non-mathematical specialties and areas of training of higher education]. Matematika v vysshem obrazovanii – Mathematics in Higher Education, 2015, no. 13, pp. 51–64 (in Russian).
2. Gefan G. D., Kuz’min O. V. Metodika postroeniya kontrol’no-obuchayushchikh programm i ikh ispol’zovaniye v prepodavanii matematicheskikh distsiplin [Methodology of projecting control-training programs and their application in teaching mathematical disciplines]. Vestnik Buryatskogo gosudarstvennogo universiteta – BurSU Bulletin, 2013, no. 15, pp. 23–28 (in Russian).
3. Gefan G. D. Matematicheskiye boi kak chast’ uchebnogo protsessa v vuze (na primere prepodavaniya teorii veroyatnostey) [Mathematical fi ghts as part of the educational process in the university (teaching of the probability theory as example)]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2015, no. 7 (160), pp. 96–101(in Russian).
4. Gefan G. D. O vozmozhnosti provedeniya delovykh igr pri izuchenii matematicheskikh distsiplin v tekhnicheskom vuze [On the possibility of business games in the study of mathematical disciplines in technical higher school]. Problemy uchebnogo protsessa v innovatsionnykh shkolakh: sb. nauch. tr. [Problems of educational process in innovative schools: collection of scientifi c works]. Irkutsk, ISU Publ., 2013. Pp. 38–46 (in Russian).
5. Gefan G. D., Kuz’min O. V. Aktivnoye primeneniye komp’yuternykh tekhnologiy v prepodavanii veroyatnostno-statisticheskikh distsiplin v tekhnicheskom vuze [The active use of computer technology in the teaching of probabilistic and statistical disciplines in higher technical educational institution]. Vestnik Krasnoyarskogo gosudarstvennogo pedagogicheskogo universiteta im. V. P. Astaf’eva – KSPU Bulletin, 2014, no. 1 (27), pp. 57–61 (in Russian).
6. Nohrina N. N., Lapko T. M. Vidovye osobennosti sistem kontrolya rezul’tatov obucheniya studentov [Specifi c features of student performance monitoring systems]. Vestnik YuUrGU – Bulletin the South Ural State University, 2006, no. 9, pp. 116–121 (in Russian).
7. Maslennikov A. S, Shebashev V. E. Organizatsiya uchebnogo protsessa na osnove modul’no-reytingovoy tekhnologii [The organization of educational process on the basis of module-rating technology]. Fundamental’nye issledovaniya – Fundamental research, 2007, no. 2, pp. 68–70 (in Russian).
8. Medvedeva I. P., Mindeeva S. V., Bekirova R.S. Modul’no-reytingovaya tekhnologiya obucheniya matematike v tekhnicheskom vuze [Modulerating technology for teaching mathematics in technical institution]. Sistemy. Metody. Tekhnologii – Systems. Methods. Technologies, 2014, no. 2 (22), pp. 146–151 (in Russian).
9. Obrazovaniye: novosti, perspektivy, reaktsiya, obshcheniye [Education: news, perspective, response, communication]. URL: http://www.eduhelp.info/page/modulno-rejtingovaja-sistema-pljusy-i-minusy (accessed 30.10.2016) (in Russian).
10. Gefan G. D. Veroyatnostno-statisticheskiye metody na primere zadach issledovaniya raboty zheleznodorozhnogo transporta: metodicheskoye posobiye dlya provedeniya delovykh igr [Probabilistic and statistical methods on the example of research problems of rail transport: handbook for business games]. Irkutsk, IrSURC Publ, 2015. 32 p. (in Russian).
11. Gmurman V. E. Teoriya veroyatnostey i matematicheskaya statistika [Theory of Probability and Mathematical Statistics]. Moscow, Vysshaya shkola Publ., 2003. 480 p. (in Russian).
12. Pedagogicheskiye tekhnologii: ucheb. posobiye dlya studentov ped. spetsial’nostey [Pedagogical technologies: Textbook for students of ped. specialties]. Under the editorship of V.S. Kukushkin. Rostov-on-Don, Mart Publ., 2002. 320 p. (in Russian).
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Issue: 4, 2017
Series of issue: Issue 4
Rubric: ISSUES OF NATURAL-SCIENTIFIC EDUCATION
Pages: 49 — 56
Downloads: 916