Pedagogical Synergy Based on the Fractal Approach: Content Selection, Training, Control (A Case Study of Mathematical Education)
More details
Hide details
Bunin Yelets State University, Yelets, RUSSIA
Tambov State Technical University, Tambov, RUSSIA
Online publish date: 2017-11-14
Publish date: 2017-11-14
EURASIA J. Math., Sci Tech. Ed 2017;13(11):7591–7598
This article belongs to the special issue "Problems of Application Analysis in Knowledge Management and Science-Mathematics-Education".
The ideas and principles of synergistic and fractal approaches make up methodological provision for the research. An important role is also given to methods of system analysis, mathematical and visual modeling, experimental and statistical methods. The methodological basis of the article is a synthesis of synergistic and fractal approaches. The purpose of the article is theoretical underpinning and development of effective didactic mechanisms for enhancing pedagogical synergy in mathematical education by improving the key components of pedagogical process on the basis of the fractal approach. The article presents all stages of a technology for enhancing pedagogical synergy in mathematical education on the basis of the fractal approach. As a didactic mechanism of pedagogical synergy, the authors propose a set of teaching objectives and professionally oriented tasks correlated with an interdisciplinary fractal-organized base of key mathematical concepts, as well as a system for monitoring/assessment of students’ knowledge on the basis of fractal methods.
Abdykarimov, B., Zhanabaev, Z., & Mukushev, B. (2005). Synergetic concept of education for sustainable development. Alma mater, 11, 56-57. [in Russian].
Avanesov, V. S. (2014). Application of test forms in the new attestation technologies. Modern Higher School: an Innovative Aspect, 4, 4-15. [in Russian].
Bolotov, V. A., & Valdman, I. A. (2013). Types and purpose of evaluation programs for schoolchildren’s educational outcome. Pedagogy, 8, 15-26. [in Russian].
Chelnokova, Т. А. (2010). Synergetic effect of pedagogical design. Man and Education, 2, 36-39. [in Russian].
Dvoryatkina, S. N., & Kuznetsova, T. I. (2015). Application of the concept of linear self-similarity in the social and human sciences. The Psychology of Education in a Multicultural Space, 32(4), 79-87. [in Russian].
Dvoryatkina, S. N., Masina, O. N., & Shcherbatykh, S. V. (2017). Perfection of methods of pedagogical diagnostics of mathematical knowledge control on the basis of modern achievements in science. The Psychology of Education in a Multicultural Space, 37(1), 71-77. [in Russian].
Dvoryatkina, S., Smirnov, E., & Lopukhin, A. (2017). New Opportunities of Computer Assessment of Knowledge Based on Fractal Modeling. US-China Foreign Language, 15(7), 452-459. doi:10.17265/1539-8080/2017.07.005.
Gapontsev, V. L., Gapontseva, M. G., & Fedorov, V. A. (2004). Applying the ideology of synergetics to the formation of the content of continuous natural science education. Education and Science, 6(30), 90-102. [in Russian].
Gerasimova, E. N., Kashko, T. V., Ostapenko, V. S., & Savushkin, L. M. (2015) Methodical aspects of formation of educational motivation of students in the process of interactive training in high school. Bulletin of the Volgograd Academy of the Ministry of the Interior of Russia, 3(34), 122-128. [in Russian].
Ivanov, D. A. (2016). Concepts of ‘synergy’ and ‘synergic effect’: semantic and evolutionary aspects. Russian Journal of Entrepreneurship, 17(20), 2583-2594. [in Russian] doi:10.18334/rp.17.20.36917.
Knyazeva, E. P., & Kurdyumov, S. P. (2011). The foundations of synergetics: a man constructing himself and his future. Moscow: LIBROKOM. [in Russian].
Latyshev, V. L. (2009). Criteria for assessing the quality of the educational component of intelligent learning systems. Informatization of Education and Science, 3, 89-96. [in Russian].
Madzhuga, A. G., Sinitsyna, E. V., & Filipenko, E. V. (2015). Conceptual and theoretical foundations of fractal pedagogy as a new field of social and humanitarian knowledge. Scientific Dialogue, 12(48), 450-159. [in Russian].
Mascall В., & Rolheiser, С. (2006). Pedagogical Synergy: Linking Assessment, Curriculum, and Instruction. Brock Education Journal, 16(1), 45-61. doi:10.26522/brocked.v16i1.78.
Mukushev, B. A. (2008). Synergetics in Education. Education and Science, 3(51), 105-122. [in Russian].
Ostashkov, V. N., Smirnov, E. I., & Belonogova, E. A. (2016). Synergy of education in the study of attractors and basins of attracting nonlinear mappings. Yaroslavl Pedagogical Bulletin, 6, 146-156. [in Russian].
Raizberg, B. A., Lozovsky, L. Sh., & Starodubtseva, E. V. (1997). Modern economic dictionary. Moscow: Infra-M. [in Russian].
Smirnov, E. I., Smirnov, N. E., & Uvarov, A. D. (2017). Stages of technological support of the self-organization process in mathematical education of the future teacher. Yaroslavl Pedagogical Bulletin, 3, 102-111. [in Russian].
Yushko, E. N. (2012). Use of synergetic approaches for the organization of effective independent work of students. Fundamental Research, 6(1), 77-81. [in Russian].