Abstract
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.
Highlights
Relevance of the studyAccording to A.M. Novikov (2006), for a long time the object of didactic and methodological research was the process of knowledge, abilities, and skills development and “it became the biggest error of all national pedagogics
The theory of inventive problem solving as the basis of technical systems mastering in the supplementary mathematical education of school students
TRIZ is a scientific and practical direction in the development and application of effective methods used for inventive problem solving, and the generation of new ideas and solutions in science, engineering and other areas of human activity
Summary
Relevance of the studyAccording to A.M. Novikov (2006), for a long time the object of didactic and methodological research was the process of knowledge, abilities, and skills development and “it became the biggest error of all national pedagogics. We are speaking about the need of pedagogics aimed at personality development that significantly changes the focus and the content of pedagogical researches, but all educational practice as well” (Novikov, 2006). Basing on the regularities of development and existence of technical systems and pedagogics, the integration of mathematical knowledge, technical, and scientific creativity allows for training to solve search, creative and inventive tasks (Gin, 2005; Zinovkina, Gareev Gorev, & Utemov, 2013). The developed thinking of personality’s capable of solving creative problems and the design of new ideas for their solution has the greatest value for an advanced state; it is the key to the success of scientific and technical creativity and necessary for the search for new solutions for production tasks. The inertia of thinking often suppresses the imagination of highly qualified experts whose scientific and technical knowledge and experience is vast; one cannot make scientific discoveries and inventions without imagination
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