pp. 189-198 | Article Number: mathedu.2015.014
Published Online: December 12, 2015
Article Views: 793 | Article Download: 940
The relevance of the research is determined by the complexity that secondary school students experience when they master the regularities of development and existence of technical systems as an important link in the creation of the structured knowledge system, abilities and the correct world perception, and training to search task solutions arising in technical systems. In this regard, the goal of the conducted research is to create approaches in teaching practices that will provide learner involvement in technical systems research and, consequently, will promote conditions for the solution of mathematical inventive problems. The main approach to the training of vocational technical creativity is G.S. Altshuller’s (1956) theory of inventive problem solving (TRIZ) that takes a specific place in Russia. Labor-intensiveness and complexity of application of TRIZ in the educational process determined the creation of simplified algorithms of inventive problem solving. . Malkin’s (2012) algorithm of inventive problem solving “Generator of ideas” was selected, which is based on a part of algorithms of inventive problem solving (ARIZ). The pilot study conducted since 2010 has helped to develop an approach to the organization of learners’ activities when working with the algorithm of inventive problem solving. Due to the approach that school students have formulated and solved tasks arising in technical systems, some solutions have been patented and certified by the Federal Service for Intellectual Property. The materials of this paper may be useful for teachers of general and supplementary mathematical education of school students, who are engaged in technical creativity, and for all those who study new opportunities of creative search in the sphere of mathematical apparatus of technical systems
Keywords: Mathematical Education, technical systems, mathematical apparatus, problem solving
Altshuller, G.S. (1972). The algorithm of the invention. Moscow.
Altshuller, G.S. (1979) Creativity as an exact science. Moscow.
Altshuller, G.S. (1984). And suddenly the inventor appeared. Moscow.
Altshuller, G.S., & Shapiro, R.B. (1956). On the psychology of inventive creativity. Questions of psychology, 6, 37–49.
Altshuller, G.S., & Zlotin, B.L. (1989). The Search for new ideas: from insight to technology. Chisinau.
Bush, G.Y. (1974) Methodological foundations of scientific management invention. Riga.
Bush, G.Y. (1985) Dialogics and creativity. Riga.
Gilde, V., & Starke, K.D. (1973). Needideas. Moscow.
Gin, A. (2005) Techniques of pedagogical technique. Moscow.
Gordon, W.J.J. (1961) Sinectics: The Development of Creative Capacity. New York.
Gorev, P.M., & Utemov, V.V. (2014). A simplified algorithm for solving creative problems. Saarbrucken.
Hansen, F. (1966). Fundamentals of General construction methods. Leningrad.
Ivanov, G. (2009). Algorithm for the solution of engineering problems. Retrieved June 20, 2015, from http://www.trizland.ru/trizba/1886.
Koch, P., & Müller, I. (1974). Library programs systemization heuristics for scientists and engineers. Yoshkar-Ola.
Malkin, S. (2012). Presentation “Generator of ideas”. Retrieved June 20, 2015, from http://www.TRIZ-tigr.ru.
Mikhailov, V.A. (1992). Solution of the educational problems in TRIZ. Cheboksary.
Mikhailov V.A. (2012). Fundamentals of systems theory and creative solutions to technical problems. Cheboksary.
Mikhailov, V.A., Gorev, P.M., & Utemov, V.V. (2014). Scientific Work: Methods of designing new ideas. Kirov.
Mikhailov, V.A., & Mikhailov, A.L. (2013). TRIZ Training. Theoretical and practical issues of the development of scientific thought, 2, 117–124.
Mitrofanov, V.V. (2004). Reflections on the website of “Methodologist”. Retrieved June 20, 2015, from http://www.metodolog.ru.
Novikov, A.M. (2006). Methodology of education. Moscow.
Osborn, A.F. (1953) Applied imagination. New-York.
Petrov V.M. (2010) Structure of ARIZ-2010. Retrieved June 20, 2015, from http://triz-summit.ru/205253/203840/204230/204426.
Podkatilin, A.V. (2009) Hydro: analysis of a technical problem. Moscow.
Polovinkin, A.I., ed. (1976) Methods of searching for new technical solutions. Yoshkar-Ola.
Polya, D. (1961) How to solve problem? Moscow.
Povileyko, R.P. (1972) Classification of the methods of solutions of design and inventive problems. Method decimal matrices. In the book Computer science and its problems. Novosibirsk, 1–37.
Rubin, M.S. (2012). Universal algorithm of inventive problem solving. Retrieved June 20, 2015, from http://triz-summit.ru/ru/confer/TDS-2012/205266/205416/205301.
Sereda, N.I. (1961). Method of directed thinking. Riga.
Tsurikov, V.M. (1989) Inventing machine1.5. Retrieved June 20, 2015, from http://www.trizminsk.org/e/2000132.htm.
Tsurikov, V.M. (1997) Guide to the program Tehnooptimaizer. Boston, Imcorp.
Tsurikov, V.S., Voronov, A.S., & Pronin, S.P. (2007) The computer Program Range. Testimony about official registration of the computer program, No. 2007613983. Date of the registration 18.09.2007.
Utemov, V.V., Zinovkina, M.M., & Gorev, P.M. (2013). Pedagogy of creativity: Applied course of scientific creativity. Kirov.
Zinovkina, M.M., Gareev, R.T., Gorev, P.M., & Utemov, V.V. (2013). Scientific creativity: innovative methods in the system of multilevel continuous creative education NFTM-TRIZ. Kirov.
Zlotin B.L., & Zusman, A.V. (1991). Solution of research tasks. Chisinau.
Zlotin B.L., & Zusman, A.V. (2006). Month under the stars imagination. Moscow.
Zwicky, F. (1969). Discovery, Invention, Research through the Morphological Approach. Toronto.