No 2 (2023)

Various solutions to mathematical problems can cause certain difficulties for schoolchildren. The use of a scheme allowing to organize and systematize the search for a solution to a problem makes it possible to ensure the interaction of participants in the educational process, aimed at creative initiative, mathematical intuition, activity, and independence in reasoning. The result is the ability of the student to solve various problems individually. The goal is to substantiate a step-by-step scheme for solving the problem for its application in the process of teaching mathematics to schoolchildren. The system and activity approach compose the research base. The work used such methods as generalization, systematization, classification, analysis of domestic and foreign studies. Russian and foreign researchers in their works divide the activity of schoolchildren in solving problems into separate stages, which contributes to the formation of the main methods of action aimed at obtaining educational results. The proposed schemes differ in content, as well as in the number of allocated stages.. Generalization and systematization of the studied experience made it possible to modify them taking into account the needs of the participants in the educational process. During training, the task of increased complexity is solved not only by the student, but also by the teacher. The above scheme summarizes their activities, makes it possible not only to analyze the problem, but also to characterize the methodological and methodological aspects of the solution. Accordingly, it includes the following stages: analytical, schematic, methodological, descriptive, verification, research, methodical. At the analytical and schematic stages, the actual search for a solution to the problem is carried out, its main content is represented using mathematical models and various schemes. At the methodological stage, the task is characterized from the point of view of the methods used and the mental operations used. The descriptive and verification stages are directed by recording the problem solution and his validate that includes logical, computing and other mistakes. During the research phase, an analysis of the conditions of the problem is carried out, the existence of its solution is determined when they change. The methodological stage enables the teacher to generalize and systematize issues related to learning to solve a problem. The scheme considered in this paper systematizes and structures the activities of both the teacher and students in solving problems for the gradual formation of the ability to search for it.

A relevant social ideal in the modern era in the context of national cultural and historical memory is the legendary personality of D. M. Karbyshev. His most important qualities, which influenced not only his life and activities, were: a high desire to serve the Motherland, a focus on victory, integrity and uncompromising, aggravated – a sense of truth and justice, courage and bravery. In this regard, the social ideal of the personality of D. M. Karbyshev is considered in the context of domestic cultural historical memory. The goal is to analyze the pedagogical potential of forms of patriotic education of student youth on the basis of means of memorializing cultural and historical memory. The research material was open Internet sources, as well as materials of a sociological survey conducted in April 2022 among students of the Omsk Pedagogical University on the basis of a random sample. The study used methods of comparative and systemic analysis, as well as methods for developing design technologies. The theoretical significance of the results of the study consists in the systematization of the forms and methods of patriotic education of student youth by means of memorialization of historical memory. Lacunae were discovered in the youth’s knowledge of means of perpetuating the memory of D. M. Karbyshev, which was the basis for the development of innovative forms and means of patriotic education. The methods of sociological survey, systematic and comparative analysis show the reflection of the means of memorialization of the feat of D. M. Karbyshev in the forms and means of patriotic education. The practical significance of the study is as follows. The social ideal of the personality of D. M. Karbyshev in the context of domestic cultural historical memory. Forms of patriotic education are distributed in project technologies by age groups of children and youth and certain loci – places of patriotic actions. Using the method of sociological survey, traditional and innovative forms of patriotic education proposed by students were identified. A set of forms of patriotic education is distributed in project technologies by age groups of children and youth and certain loci – places of patriotic actions. The structure of the developed technologies includes means of patriotic education. Along with immersion in the atmosphere of patriotism, military romance and conviction in the greatness of the feat, his visual museum and excursion display is carried out, built on the inclusion of various objects of cultural and historical memory in the route of excursions. To work with young people, seven main active forms of patriotic education in the context of project technologies have been developed. It is determined that for student and working youth, along with common excursion routes, there are seven other loci: special cultural institutions for youth, as well as citywide libraries, museums, the Cinema House, the space of the Immortal Regiment. As a result of the development of technologies, the pedagogical potential of these patriotic actions was revealed: their continuity, taking into account the lessons of history, and the sacred essence of military-patriotic exploits in the name of life, visibility, spectacular effect, dispersion among audiences, brightness, significance of cultural and historical memory, emotional saturation of impact.

On the basis of the works of domestic philosophers, sociologists, teachers, culturologists, the concept of «ethnocultural identity» is considered and the relevance of the study is substantiated. Experimental work on the formation of the ethno-cultural identity of students was carried out on the material of the South Russian folk costume. Due to its brightness, symbolism, constructive simplicity, the South Russian folk costume is accessible and understandable for younger schoolchildren and can be used in the practice of a modern school, since the skill of creating and decorating a costume was transferred from older younger members of the family in the process of direct contact in the form of joint activity. The conducted ascertaining experiment showed that if students have a certain civic position and moral feelings, their ethno-cultural identity, as a quality of personality, is at an insufficiently high level of formation. At the formative stage of the study, the experimental group conducted classes that were aimed at the formation of ethno-cultural identity among students of primary school age under the program of extracurricular activities “I live in Russia”. In the control group, educational and extracurricular activities were carried out in accordance with the curriculum and the plan of educational work. The implementation of the program of extracurricular activities “I live in Russia” is based on a system-activity approach, which involves social and pedagogical support for the process of formation and development of a highly moral, responsible, creative, initiative, competent citizen of Russia; transition to a strategy of social design and construction based on the development of the content and technologies of education that determine the ways and means of achieving the socially desired level of personal and cognitive development of students, taking into account their age, psychological and physiological characteristics. An important function of traditional art is that it is a unique way of conveying the universal and individual human experience. The South Russian folk costume gives students a unique opportunity to join the experience of previous generations, analyze, participate in the creation of a material result, come to an understanding of the beauty and originality of the costumes of different peoples living in Russia. As a result of the successful use of the material of the South Russian folk costume, interest is developing in the study of the history of the country, region, native city; the amount of work in the classroom gradually increases as a result of increased attention and good performance; the desire to learn new things increases, children are waiting for creative tasks, they themselves take the initiative in their search, help each other by creating collective projects in the classroom. As a result of the study, the indicators of the formation of ethnocultural identity in the experimental group increased in comparison with the results of the ascertaining stage of the study. This was facilitated by conducting classes with students on the extracurricular activity course “I live in Russia” introduced into the educational process of elementary school, built on the material of the South Russian folk costume.

The purpose of the article is the analysis of the significance of activity games for the development of educational independence of future teachers. The educational independence – the action allowing future teacher to open, and to appropriate further sense and content of professional activity, to seize ways of her implementation and improvement. Modern practice of preparation in higher education institution realizes often reproductive ways of training where future teacher learns to restore the accumulated experience of the organization of pedagogical activity. At the same time, he doesn’t seize ways of creation of point of the professional education. The purpose is to prove use of activity games in formation of educational independence as the special resource of vocational training promoting manifestation at future teachers of an initiative among future teachers in mastering the basics of pedagogical activity, assigning skills to organize their own educational activity, and mastering ways to improve it. The study material was a survey and survey of teachers and students of the Altai State Pedagogical University, which made it possible to identify problematic aspects in the formation of educational independence among future teachers due to the use of reproductive learning technologies. The data obtained gave the basis for the development and testing of activity games in pedagogical and methodological training, contributing to the discovery and assignment of educational independence as a way to improve professional activity. The analysis of the practice of forming educational independence among future teachers made it possible to establish that this action is presented mainly at the reproductive level, while all its components (motivational, cognitive, activity) are in a disconnected state. It was also found that the reason for the poor quality of educational independence is the lack of involvement of students in the process of their own education, which is expressed in the lack of initiative, motive and methods in mastering pedagogical activities, due to the use of reproductive technologies. Options for activity games used in pedagogical and methodological training are presented, as a result of which students master educational independence. Turning to activity games in the learning process allows you to involve students in building not only the meaning of your own education, your future profession, but also assigning ways to implement it, namely: educational independence.

Creative pedagogical activity implies continuous professional development of the teacher. The digital educational environment has ample opportunities for self-development and self-organization of the teacher. In the process of self-development, the teacher actualizes theoretical knowledge and gains new practical experience. This allows him to rationally choose the means for pedagogical actions, effectively, technologically, valeologically carry out pedagogical activities. There is a need to form a teacher’s value orientations for self-development and self-determination. The purpose of the study is to scientifically substantiate the possibility of using the resources of the digital educational environment to develop value orientations for continuous self-development and self-organization among teachers. The methodology and research methods are based on the characterization of pedagogical activity as a creative process, the analysis of the effectiveness of pedagogical activity in the characteristics of activity from the standpoint of a praxeological approach, the use of reflective self-assessment to form the teacher’s value orientations for self-development. The teacher’s value orientations towards continuous self-development and self-organization contribute to the creative self-realization of the teacher and the improvement of the quality and awareness of pedagogical work. Reflective assessment of actions allows the teacher to find deficiencies in the implementation of labor functions and ways to eliminate them. It is concluded that the formation of teacher’s value orientations for self-development and self-organization is an important task of pedagogical education. The theoretical significance of the study is determined by the model of the process of creative solution of a cognitive task by a teacher in a digital educational environment based on a praxeological approach. The practical significance is the range of possibilities of the digital educational environment for the teacher’s selfdevelopment and self-organization.