No 2 (2024)

The article represents the selected results of the research aimed at the actualisation of the system of the future mathematics teacher’s preparation in the system of the higher pedagogical education and designing a methodological system for training a future subject teacher in the context of the development of individualization of teaching mathematics.The presented methodological system of training students studying in specialized pedagogical programs of bachelor’s and master’s programs is a subsystem of the general system of training a teacher of mathematics at a university, has a complete structure, includes target, content, methodological, effective-evaluative and motivationalpersonal components. The target component is considered to be a backbone in the constructed methodological system of training a future mathematics teacher, and it is the component that determines the result of mastering the educational program in its entity as the target competency model of the graduate. Under the current regulations for the design of higher education educational programs, there are uniform requirements in terms of competencies (UC and GPC) corresponding to the level of education in general or to an enlarged group of training areas. The selection of specialized professional standards and the determination of the corresponding professional competencies, on the formation of which the educational program should be focused, assumes the author’s approach of the developers of educational programs and falls within the competence of the educational organization exclusively. Universities that train teachers have the right to include professional competencies aimed at individualizing mathematics education for students in special educational categories, including schoolchildren with high-level mathematical abilities in the graduate competency model. Such a target structural element corresponds to a special labor function established by the professional standard of aneducator, aimed at the developmental activities of the teacher. In the course of the study, the goals of methodological preparation of a future mathematics teacher to work in non-standard conditions with special categories of students requiring the organization of individualized training were determined. Approaches to the formation of a target competency model of a graduate in the constructed methodological system for training a future mathematics teacher are substantiated. The article presents the results of approbation of the proposed target competence model on the basis of Orel State University named after I.S. Turgenev (hereinafter referred to as OSU named after I.S. Turgenev) within the framework of a two-level (bachelor’s degree, master’s degree) teacher training system. The approaches to building the target component of the methodological system for preparing a future mathematics teacher proposed in the paper are based on the requirements of the Federal State Educational Standard of general education and are determined by the request of the modern school for the teacher who knows the methods and technologies of individualized mathematics teaching. The constructed methodological system is designed to solve the objective contradiction between the need for such teachers and the generally accepted methodology for preparing a mathematics teacher in a university, the reference point of which is the “ordinary, average” student.

The problem of organizing mathematics teaching that promotes understanding of information, particularly mathematical information, has always been in the focus of attention of specialists from different fields of knowledge. There are different types of understanding: understanding-recognition, understanding-hypothesis, understandingunification. Psychological and pedagogical conditions for the development of understanding include motivation to understand information; active position of the subject in working with information; taking into account the peculiarities of the formation of notional thinking; the presence of context to convey the semantic load of information; the use of different ways of coding information, including subject experience and metaphors; actualization and development of general intellectual skills. Knowledge of the psychological and pedagogical foundations of understanding learning information significantly increases the methodical culture of the teacher, allows him to think methodically, constructing the content of education and selecting teaching methods. When training a future teacher of mathematics, it is necessary to pay attention to the problem of constructing developmental educational texts that promote understanding of mathematical information. Constructing developmental educational texts is an integral methodological unit, which allows to demonstrate such methodological skills as understanding the problems arising in the study of educational material, identifying the psychological and pedagogical reasons for their occurrence, predicting possible ways of preventing arising difficulties, realizing the need to improve existing approaches to teaching,the search for psychological and pedagogical foundations of methodological activity, analysis of existing practices of constructing educational texts from the point of view of their possibility in the formation of learning actions that promote understanding, development of author’s materials, analysis and discussion of the obtained results, adjustment of methodical activity. The results of the conducted research with students of the Faculty of Physics and Mathematics have shown that the development of methodical thinking is influenced by the actualization, reconstruction and enrichment of professional experience of working with mathematical information from the point of view of psychological and pedagogical foundations of teaching learning material, as well as familiarization of future teachers with productive teaching practices aimed at understanding learning information. The conducted research allows us to conclude that purposeful teaching of general problems of teaching mathematics from the point of view of psychodidactic approach increases methodical culture of future teachers of mathematics and contributes to the development of methodical thinking.

Obtaining higher education is an important stage of human socialization. The aim of universities is to create such an educational environment that will allow all students, regardless of their educational needs and individual capabilities, to successfully solve the tasks of the corresponding stage of socialization. Equal access to education for all students, regardless of their diverse special educational needs and individual capabilities, including students with disabilities and disabilities, is designed to ensure inclusive education. Currently, higher education at Tsiolkovskiy Kaluga State University is received by persons 17 years and older, among whom there are students with disabilities, gifted students, representatives of different nationalities, cultures, countries and confessions, students from large and small cities of the world, near and remote settlements. All this actualizes the problem of creating an optimal inclusive educational environment at the university. Tsiolkovskiy Kaluga State University is actively working to create an inclusive educational environment, which is designed to promote the successful socialization of all students studying at the university. Inclusive educational environment is considered by us as a set of resources (means, external and internal conditions) that ensure the realization of the right of every person to education, including training, upbringing and personal development, and is designed on the basis of such principles as safety, saturation, accessibility, etc. The structure of the inclusive educational environment of Tsiolkovskiy Kaluga State University includes spatial-subject, organizational, technological, informational and social components. Each component has its own content. A special place in this structure is assigned to the Center for Inclusive Education. The Center for Inclusive Education, created at the University and designed to provide horizontal links between departments in matters of inclusive education, helps to eliminate inconsistencies in the actions of departments at the same level of hierarchy, which is generated by the strict hierarchy of the university’s Management model. The creation of an inclusive educational environment of the University is carried out in various directions, among which it is possible to highlight the improvement of the local regulatory framework, material and technical equipment, scientific, informational and personnel support for inclusive education, increasing the architectural accessibility of the university infrastructure facilities for students with disabilities, improving the quality of education received by students with disabilities. Modeling of the inclusive educational environment of the university is carried out by all participants of the educational process: administrative staff, teaching staff and students themselves, with the active participation of public organizations. Systematic monitoring of difficulties encountered by students, including students with disabilities in the process of admission and study at the University, allows you to determine the steps to overcome them. Currently, work continues to improve the inclusive educational environment of the university.

In the existential aspect, the modern world is characterized as BANI-world (Brittle, Anxious, Nonlinear, Incomprehensible).The reasons for this characterization are the factors of rapid obsolescence of specific knowledge, the accelerated change in the technological structure of society, the risks of environmental, energy and epidemic crises, the emergence of artificial intelligence and trainable neural networks, the large consequences of small (at first glance) events in science and public life. In such circumstances, there is a tendency to move from pragmatic pedagogy to analytical pedagogy, which contributes to the formation of conceptual pedagogical thinking. It differs from the standard-performing one in that it is aimed at a deep understanding of the meaning and essence of the fundamental principles of planning and implementing the ideas of scientific research. This path requires the development of the methodological apparatus of general pedagogy and its application in dissertation research. The purpose of the study was to substantiate the system-contextual approach in the study of pedagogical processes and educational technologies in the changing world. The source materials for the review of literature in pedagogical periodicals and in open access to the Internet were the abstracts of dissertation research along with publications in the field of the theory of pedagogical systems, forms of contextual education, environmental and other approaches in pedagogy, the theory of systems and research methods. The paper uses methods of comparative comparison of the content of publications and frequency analysis of the use of terms in them using the online open access service “Semantic text analysis online, seo-analysis of text”. A model of the pedagogical system, the dominant of which is the control unit, is proposed, which allows us to consider the system as educational. The system-contextual approach, conceptually integrating the theoretical model of the pedagogical system, the forms of contextual learning and the environmental approach in pedagogy, has been substantiated. It is concluded that a full-fledged analysis in pedagogical research requires the use of a system-contextual approach in complementary consideration of pedagogical processes of various scales and levels in inseparable connection with the context in which the processes are implemented.

The online academic cheating (OAC) is widely discussed in academic circles of different countries. The present study was conducted after the second COVID-19 wave and therefore reflects the process of mass transition to online learning, which contributes to the originality of the research. The specificity of methodological approach is comparing the opinions of teachers and students, a total of 488 respondents answering online questionnaires. According to the data obtained, from 70 to 80 % of students resort to OAC. As a rule, students tend to use lecture and lesson materials for copying and peeking, contrary to the teachers’ perception of the use of electronic media. On detecting the deception, 57 % of teachers just admonish students, 39% deduct marks. One third of students believe that teachers tend to overlook fraud. Students report resorting to deception because of lack of confidence in their knowledge. Teachers believe that the reason lies in insufficient preparation for classes. From 50 to 70 % of respondents think that such forms of assessment as a spontaneous answer, free-source research and project work reduce cheating. According to students, individual creative tasks can be added to this list. The most important factor reducing cheating is intrinsic motivation (50-60% of students and teachers). Among the measures proposed by students to combat academic fraud, didactic methods are given the highest priority as well as students’ initiatives like the movement in social networks #iliketobehonest, whose icon is shown on a student’s screen in an online activity reflecting a conscious decision made by the student.

The journalistic picture of the world is changing rapidly, reflecting the dynamics in the life of society. The purpose of this article is to identify the dynamics of the journalistic picture of the world using the example of headline complexes of various texts in Tomsk newspapers of the 60s of the XX century and 2007 of the XXI century. The research material is 150 header sets of texts from Tomsk newspapers of different themes, structure, genre features, and functions. The study was carried out on the material of the periodicals “Red Banner” (1962), “Young Leninist” (1965), “Pravda Ilyicha” (1962), “Tomsk News” (2007), “Tomsky Vestnik” (2007). A comparative and contrastive analysis of the titles in publications of Tomsk newspapers of different years and the use of semanticstylistic and contextual research methods make it possible to judge the dynamics of the journalistic picture of the world. The analysis showed that the titles of texts in Soviet-era newspapers were always associated with the propaganda of the party’s ideology. This reflected the communist pathos of all publications, regardless of the topic. The titles were examined in terms of their structure, genre features, themes and functions. First of all, the dynamics are observed in the topics of publications. The social system, social environment, ideology, and the needs of the audience cannot but influence the content and form of newspaper and journalistic texts, which is reflected in the titles. The changes are especially noticeable at the lexical level. In the past, ideologemes were actively used, the language of newspapers was standardized, normalized, and journalists used only literary vocabulary. Journalism in 2007 is full of occasional words, colloquialism, jargon, slang, etc. The dynamics are also noticeable at the functional level. In Soviet times, the main functions of headlines in newspaper texts were information and propaganda. The titles of the publications fully fulfilled their functions. The ideology of the Communist Party did not allow the others to be fully realized. They existed, but were poorly represented. Journalism at the beginning of the 21st century is characterized by the dominance of the advertising function. The 2007 header complexes contain a large number of elements indicating an advertising function. It is worth noting that the identification of the functions of heading complexes is directly related to the features of the journalistic style, such as information content, open evaluation, expressiveness, advertising and propaganda (in periodicals of the Soviet era).