Synergetic Effects Manifestation by Founding Complexes Deployment of Mathematical Tasks on the Chessboard

Abstract

The urgency of the problem is due to the insufficient development of theoretical, content-technological and methodological aspects of the integration of mathematical knowledge and chess skills. The manifestations of synergistic effects arising in the course of the integration of mathematical and game chess activity, while resolving uncertainties on the chessboard due to the activation of key components of creativity, have not been sufficiently studied. The synergistic effect of the integration of mathematical knowledge and chess skills is considered from the perspective of the components of theoretical thinking and is evaluated by the student’s creative choice in the search for alternative solutions. The purpose of the study is to describe and evaluate the manifestations of the structural components of the creative effect in the context of the introduction of funded complexes of mathematical problems on a chessboard. The hypothesis of the research: theoretical analysis of educational material, reflection and an internal plan of action as comparable processes for solving mathematical problems in terms of implementation substantiate complexes will lead to manifestations of arguments-heuristic, intellectual and logical and motivational components of creative activity. The research assumed the measurement of the manifestations of the structural components of creativity in the context of the introduction of funding complexes of mathematical problems on a chessboard. In the process of identifying the structural components of creativity, psychodiagnostic diagnostics tools were developed for intellectual-heuristic, intellectual-logical, motivational and reflexive aspects, comparative diagnostics were carried out for all structural components, the average level and integral indicators in the control and experimental groups were calculated. The formation of creativity was carried out by developing the ability to argue in the process of solving multi-stage mathematical problems on the chessboard. The choice of cause-and-effect relationships stimulated creative independence and reflexivity, enhancing the manifestations of the synergistic effect. On the basis of internal cognitive consonance, non-standard original ideas were identified; by overcoming emotional instability, the logical component of argumentation was strengthened. The results of the research revealed a positive trend in the key components of creativity in the context of the introduction of a chess game in the process of learning mathematics. In the future, it is possible to upgrade the methodological educational material for the system of inclusive mathematical education.

The Technological Constructs of Mathematical Training Founding in Higher Education

“…An important context is the external factors formulation of influence in the form of a plurality of goalsetting, building stages and hierarchies of symbolic and figurative-geometric activities in the direction of essence founding of mathematical objects and procedures [3], search and analysis of side solutions using information technology , identify bifurcation transitions and basins of attraction in the processes under study on the basis of variability and parameterization, ensuring the coherence of information flows in the emergence of a new product based on the cultures dialogue ( including, in the conditions of network interaction). In [13] identified and characterized in all stages of mathematical education synergy manifestation: preparatory, informative, technological, assessment, corrective and generate transforming.…”

“…Moreover, 25% of graduates continued professional pedagogical education (postgraduate studies, job seekers, real work in universities, management in the education system) with elements of research activities. Significant effects in the development of motivation, creativity and communication are revealed [3].…”

The Use of Internet Technologies in Teaching Bachelors-Economists Mathematics as a Factor of Students’ Professional Growth

“…To a large extent, it can be related to mathematical training of economics students in which information and communication technologies, due to the uniqueness of the interaction of educational mathematics content and economic reality, can serve as an important means of expanding the professional orientation of education [13]. Educational mathematics webquests allow arranging the process of economics students' self-development and self-organization [14,15].…”

Didactic Potential of Using Mobile Technologies in the Development of Mathematical Thinking

“…Innovative educators suggest using chess game activity to enhance mathematical thinking (Dvoryatkina et al, 2019). The exclusivity of skills to play chess is explained by the position that the uncertainty of the move on the board is similar to the uncertainty of the conditions of the future.…”

“…The authors propose an educational model that implies the integration of educational, gaming, professional and social activities of students (Urvanova, 2018). In their practice of forming mathematical thinking, they apply a system-activity approach that involves a research focus and creative interdisciplinary nature of students' project activities (Dvoryatkina et al, 2019). They denote the importance of taking into account age-specific features and individual styles of knowledge in planning mathematical training.…”