Nature Of Creativity Research Articles

The trinomial health, safety and happiness promote rural tourism

BackgroundHealth and safety protocols have become a requirement to promote rural tourism (PRT). From this perspective, this paper empirically analyses how the health and safety dimensions influence the happiness of hotel managers and rural tourists in the post-Covid 19 era.MethodsA theory-based structural equation model will be carried out of activation of norms, that measure variables: sanitary, socioeconomic, and safety. Precisely, we will measure how those three attributes affect the managers-guests’ health in rural areas and their search for happiness at the rural destination. Based on the above, a field of study has been 215 rural tourist accommodations in the Extremadura region (Spain) and a sample population of 443 guests. Data were organised through the SEM-PLS path modelling.ResultsThe results achieved statistically show the need to undertake a new model of healthier and safer tourism consumption that values the tourist resources of rural areas, especially nearby and sustainable destinations, based on the guiding principles of safety, health, and happiness.ConclusionsThe first conclusion is that promoting tourist destinations under safe and healthy conditions has become a priority objective in the tourism industry. The second conclusion that follows from the first is that the variables safety and health and the pursuit of happiness are essential factors in promoting tourist destinations for rural hotel managers and rural tourists. The third conclusion related to the first two is that the opportunity that this study provides to develop strategies of an innovative, sustainable, and creative nature based on the relationships of the new trinomial of health, safety and happiness, from the perspective of happiness management.

Creation and Creativity is an Imaginary Controversy or a Crisis of Goal-Setting? Interdisciplinary Approach

It is shown that the terms «creation» and «creativity», considered in English-language literature most often as synonyms, have acquired different meanings in Russian-language literature. We focus on their differences in goal setting. If the socio-cultural purpose of creativity, and the personal-psychological conditions of the creative process require an appeal to the supreme humanistic values, and goal-setting ensures a person’s creative productivity. And one of the most common approaches to the concept of creativity is the «productive» approach, which focuses mainly on the analysis of creative products, rather than procedural, and is associated with a goal-setting crisis. The authors focus on the moral basis of the creative process and the antisocial, aggressive nature of creativity: showing that mobbing and bullying are often the realization of creative thinking in the deviant behavior of «quasi-creators».

The Turning Point: Scientific Creativity Assessment and Its Relationship with Other Creative Domains in First Year Secondary Students

Research on creativity, as well as its application to the education field and its assessment at the different educational stages, have been of increasing interest over the past decades in different countries. In this context, this study aims to evaluate performance in scientific creativity and its relationship with other creativity domains (linguistic and general creativity) of Spanish first-year secondary students. This is a key moment both from the point of view of the change in educational level and a critical age in cognitive developments associated with creativity. The research was carried out using a quantitative, descriptive, cross-sectional design. Data was collected using previously validated tests. Results revealed a moderate-to-low performance for the scientific domain, as well as for the linguistic one and for general creativity. In addition, positive correlations have been found between all the studied domains of creativity. Nevertheless, this correlation was stronger between both scientific creativity dimensions (daily and specific). This research shows the scarce creative competence of students at the early stage of secondary education and gives evidence about the multicomponent nature of creativity. The need for the inclusion of creative teaching strategies at the secondary education level via transdisciplinary approaches is discussed.

About the Reading Circle of the Siberian Old Believers on the Example of the Collection B-777

The purpose of the article is to reconstruct the reading and writing practices of the Siberian Old Believers of the 18th century and determine the place of Old Russian texts in their reading repertoire. Methods of textology and codicology are used. The article considers one of collections copied in the Siberian Old Believer environment at the end of 18th century – Old Believer collection B–777 from the Tomsk State University Research Library. On the basis of scriber’s records the conclusion is made about the place where collection was created: it is Altay and the south of Western Siberia. The composition of the collection is analyzed, the main groups of texts included in it are listed. It is proved that the collection belongs to the well–known “library in one binding” model, which allows reconstructing the reading circle of its scriber, as well as the owner. It is shown that along with later texts, texts of Old Russian tradition are also presented. It is concluded that the texts of Old Russian tradition were not always reproduced in the later Old Believers communities as a result of a continuous handwritten tradition, and were sometimes copied from books of the Cyrillic print. The creative nature of the reader’s practices of the collection owner, who significantly revised the text of Cyril of Turov, is substantiated.

Existential Truth in Dialectical-symbolic Understanding

The subject of research in this article is the phenomenon of existential truth. The author relies on the distinction between epistemic and existential truth proposed by D.V. Pivovarov. The latter is the correspondence of knowledge (or being in the case of ontological truth) to the subject-object unity, human being, which is the basis of cognitive activity. The ideas related to the existential understanding of truth in the works of B. Pascal, S. Kierkegaard, M. Unamuno, H. Ortega y Gasset, L. Shestov, N.A. Berdyaev, K. Jaspers, G. Marcel, A. Camus, J.-P. Sartre and M. Heidegger are presented. "Cordiality", subjectivity, vitality, perspectivism, irrationality, creative nature, communication, personality, "rebellion", freedom, "non-concealment" of existential truth are highlighted. With the help of A.F. Losev's dialectical methodology, an attempt is made to comprehend these signs as moments of symbolism of existential truth. The mainstay is the works of A.F. Losev, in which the symbol is understood as a communicative and interpretive expression of a transcendent essence ("the very self"). This expression is a "directly-intuitively" given generality, naturally decomposed into a number of separate singularities, which can be realized in reality and thereby become a "myth" in Losev's understanding. The myth, immanent to personal existence, is intensively experienced by a person, manifests itself in an irrational "miracle". The symbol and myth reveal the considered signs of existential truth and at the same time take into account the objective, functional sides of the truth. From the point of view of the dialectical-symbolic approach, existential truth is the correspondence of knowledge (or being) to a dialectically concrete symbolic reflection of reality, subject-object unity, which is a "directly intuitive" given in immanent personal being. The novelty of the work lies in the application of A.F. Losev's dialectical theory of the symbol to the study of the existential understanding of truth.

SOCIAL PREVENTION OF ADOLESCENT ONLINE GAMING ADDICTION

The article tackles the problem of teenagers’ addiction to online games. In the process of digitalization of modern society, the world of games has changed significantly as one of the teenagers’ principal activities. And therefore, online games have become an important part of teenager's everyday life. The article characterizes the features of such games (accessibility, continuity, versatility, incompleteness, creative nature). Internal and external factors of addiction to online games as well as gamers’ socio-psychological features that contribute to the formation of addiction are analyzed. The article focuses attention on the positive and negative impact of online games, which, on the one hand, is considered as the means of socializing teenagers, and on the other hand, may lead to addiction development. The analysis of scientific literature makes it possible to consider “online gaming addiction” as a type of non-chemical addiction; narrow, single-minded use of the Internet, an obsessive need to play online, the characteristics of which are concentration of attention, intensity of emotions, escape from reality and life problems solving. It is emphasized that the consolidation of addiction takes place by transferring the gamer’s attention from the game plot to communication with other participants – finding like-minded people. The purpose of the article is to analyze the signs, causes and consequences of teenagers’ addiction to online games and to determine the features of social prevention of such addiction in teenagers. Methods of research: analysis and synthesis of theoretical sources, systematization, generalization and comparison in order to study the features of online games and their influence on teenagers, the causes and consequences of addiction from them; survey (questionnaire, independent interview), a modified method of identifying the level of self-esteem of an individual in interpersonal relationships, behavior, activities and feelings (S.Budassi). While conducting the research, the reasons for the persistent interest of teenagers in online games were singled out, among which the most important are: establishing communication in a peer groups, self-affirmation and self-realization, financial reward. The directions of social and preventive work with teenagers regarding the prevention of addiction to online games and its minimization are outlined, and the necessity for a systematic and comprehensive approach in this work is proven.

Ontological, epistemological and anthropological dimensions of creativity in the context of classical European philosophy

The object of this research is creativity as a cultural and philosophical phenomenon. The subject of the research is the ontological, epistemological and anthropological aspects of creativity, revealed in the conceptual space of classical European philosophy. The aim of this research is to identify ways to understand creativity as a cultural and philosophical phenomenon through the prism of the views of the largest representatives of European philosophical thought. When considering the essential foundations of creativity, special attention is paid to the ontological, epistemological and anthropological nature of creativity, which is emphasized in the conceptual constructions of Plato, Aristotle, Augustine Blessed, Thomas Aquinas, F. Bacon, R. Descartes, J. Locke, I. Kant and F.W.J. Schelling. The theoretical basis of this research is the original works of representatives of classical European philosophy, as well as modern research in the field of philosophy of creativity. The methodological foundation of the research is the comparative analysis and the method of contextual vision of creativity. The main result of the conducted research is the articulation of the understanding of the phenomenon of creativity in the context of the classical period of the development of European philosophical thought from the standpoint of ontological, gnoseological and anthropological approaches. Based on the identified aspects of the desired cultural phenomenon, a historically determined concept of creativity is presented. The scientific novelty of the research also lies in the discovery and accentuation of both explicit and implicit aspirations of the classics of European philosophy to the essential understanding of the genuine and false intentions of the creative subject.

Editorial

The present issue of the Indian Theatre Journal (ITJ) is an attempt to showcase the current research in the field of Indian performing arts to bring together some glimpses of traditional performance scholarship and the ways in which that interacts with contemporary demands. There are two articles on Kerala Kalamandalam, the internationally acclaimed Kerala’s traditional centre for performing arts. The articles feature the origin and development of the institution, the ways in which the centre became the nucleus of traditional performing arts in the region including recent experiments in the traditional performing arts scene in Kerala. Moreover, the article about the Purulia Chhau attempts to raise the argument that the Indigenous performances have not opened to accommodate the ‘woman’s space’ within its practice. The article on performative experience in Kathakali’ asks some valuable questions about the creative nature of the art of acting: what is the nature of the psychophysical process involved in a performance? At what degree and level this complex process has been understood and theorized? Above all, the exceptional interview with Neena Prasad, a prolific young dancer who received the presidential award for the overall contribution to Indian classical dance, is another highlight of the issue.

The category of the transcendental in the Ukrainian postmodern novel

The forms of artistic embodiment of aspects of the category of the transcendent in the texts of Ukrainian postmodernists are the focus of this article which are studied through the analysis of the characters’ worldview, the identification of dominants and meanings of human existence, and the correlation of the vision of the category of the transcendent in the novels with modern spiritual concepts. The most striking authorial concepts of the transcendental in Ukrainian postmodern prose refer to the relationship between the human and divine planes of existence, the mechanisms of transforming inspiration into a literary text, the irrational nature of creativity, the concept of reincarnation, ritual as a way of accessing the realm of the transcendental and the understanding of «nothing» concept.

Psychological and pedagogical principles of stimulating teachers’ professional development in the system of postgraduate education on the basis of the acmeological approach

The article is devoted to the theoretical and methodological aspects of stimulating teachers to professional development and personal and professional self-improvement in the system of postgraduate education. It is taken into account that the main way for pedagogical workers to obtain education is training, self-study based on the rethinking of self-development and self-improvement. Based on the analysis of psychological and pedagogical literature, the essence of the scientific definitions “development” and “self-development” was analysed. Thus, “development” is considered as an active process of personality formation based on improvement. Development involves conscious behavior aimed at improving personal and professional qualities and the desire to achieve effectiveness, increase independence, and the creative nature of activity. “Self-development” is a necessary condition for the self-realisation of an individual, which involves the inner independent desire of a person to enrich their own individual qualities. Active development as well as self-development of teachers is carried out in the system of postgraduate education on the basis of the acmeological approach. The implementation of the acmeological approach increases the need for achievement, motivates teachers to act successfully, promotes them to achieve “acme”. Postgraduate education allows improving objective, subjective, procedural and performance criteria of pedagogical activity. Within the framework of self-development of teachers in the system of postgraduate education, the acmeological approach is based on four main aspects: 1) organising the acmeological environment; 2) establishing the acmeological position; 3) developing the acmeological potential; 4) improving the acmeological culture. Based on the use of the acmeological approach, the following positive achievements were reached: there increased independence in goal setting, which was based on the formulation of strategic and tactical goals, setting practical tasks, choosing effective ways of achieving the defined goal; it became possible to ensure the creative nature of educational activity on advanced training courses as every student independently created the program of their personal and professional development. The article presents a range of educational programs aimed at improving the level of general competences (speech competence, communicative competence, inclusive competence, digital competence, managerial competence, moral and ethical competence) of teachers in the system of postgraduate education at the Postgraduate Education Centre of Ternopil Volodymyr Hnatiuk Pedagogical University. Innovations in the process of organisation of advanced training courses at the Postgraduate Education Centre were analysed. In particular, we mean the organisation of master classes, trainings, roundtable discussions, scientific discussions, international and all-Ukrainian conferences and forums, creative laboratories, methodological workshops, Web-quests, practical simulations, which contribute to increasing teachers’ internal motivation for self-development and self-improvement.

STATE AND FEATURES OF THE PLEIN AIR PAINTING MOVEMENT DEVELOPMENT IN UKRAINE AT THE CURRENT STAGE

The aim of the article is to discuss the current stage and features of the development of the plein-air movement in Ukraine. Open air is an integral part of contemporary fine arts. Their role lies in the very nature of artistic creativity. Formation of spatial representations, construction of the scheme of the compositional structure of the work of art, understanding of its logic are closely connected with the ability of artistic modeling of the world, the presence of advanced artistic imagination in combination with holistic perception of nature. From this point of view, plein air is widely used both for educational purposes to develop the spatial skills and creative style of young artists, as well as for the creative expression of recognized artists. The collective nature of plein air promotes close creative communication between representatives of different art schools, provoking the process of mixing and mutually influencing the achievements and achievements of both art schools and artistic fields. In Ukraine, plein airs became a striking feature of artistic life at the turn of the 2010s, which makes it possible to consider them as a feature of the national school of painting formed in the present day. The author classifies the plein-air movement by its types and analyzes the specifics of its development in Ukraine using concrete examples. The following types of plein-airs are distinguished. The first type of plein air is to include traditional plein airs, which have the meaning of an artistic event and focus on creative experimentation. An example of this type of plein air is the sculptural plein air movement in Vinnytsia region. The second type includes traditional plein airs, which are related to the event of a wider cultural context, and which they should complement. In particular, the plein air that takes place within the framework of the traditional Mamay-fest historical and cultural festival in Kamianskе. The next, third, type of plein air is organized on the basis of historical and cultural complexes. This complex is Stavchansky estate, located in the Radomyshl district of Zhytomyr region. We refer international plein air to the fourth type. Such is the creative trip of Ukrainian artists to Italy, which took place within the framework of the international plenary project “GENIUS LOCI”. The wide involvement of Italian motifs in painting and their creative comprehension by Ukrainian artists was the essential result of the plein air. Plein airs that pursue the goal of promoting the commercialization of artistic results, we refer to the fifth type of plein air. Finally, we can refer to the sixth type of plein airs as regional art events, such as the Sumy Spring All-Ukrainian Art Plein Air, held in April 2019 in Sumy Region. Thus, we can state the growth of the plein air movement in Ukraine, which forms the country's artistic and artistic environment. Plein airs are structured according to their types and tasks. The last decade has tended to include them as an integral part of cultural and artistic events of various levels, where plein airs play the role of their artistic component. This has a number of consequences. These include the activation of mutual communication between artists; popularization of painting in society; promoting the creation of artistic traditions or traditions specific to different art schools and regions of the country. In some cases, plein-airs can be used as a component for the formation (or restoration) of artistic and cultural-historical complexes. Also, plein-airs intensify exhibition activities and contribute to the commercialization of the results of artistic creation.

Reconstructing the internal parents in Virginia Woolf’s To the Lighthouse

This paper considers the nature of creativity in Virginia Woolf’s novel To the Lighthouse, in which she said she had finally ‘laid the ghosts’ of her parents, after many years of being obsessed with them, her mother in particular. Woolf was very familiar with the psychoanalytic concepts of her day, owing to the social milieu and publishing context of the ‘Bloomsbury’ intellectual circle. She acknowledged that all her writings were in some sense autobiographical. Despite periods of severe depression, she preferred not to have an analysis but to pursue her own self-analysis through her writings. This paper pursues in detail the evolution of the image of ‘internal parents’, known in modern psychoanalysis as the ‘combined internal object’ (Klein, Meltzer) and taken to be the key source of an individual’s creativity. The aim is to distinguish the realistic portrayal of external parents from the creative story that is told and indeed discovered by the writer, focussing on its experiential and experimental evolution within the structure of the novel itself. Woolf spoke of the ‘androgynous’ nature of creative work, and this, it is suggested, refers not simply to the aesthetic interweaving of complementary qualities represented in the story, but to the sense of a governing aegis of parental bisexual objects who work towards and achieve a constructive relationship in the inner world, capable of repairing defects that exist in the external world. Woolf preferred not to interpret her own works symbolically but suggested that readers may do so. The family journey to the Lighthouse is often seen in terms of a spiritual journey, as well as an artistic one, and can also be interpreted in psychoanalytic terms of an internal reconstruction or reparation.

Pedagogical Culture of Teachers at Technical Universities for Safe Educational Process During the War in Ukraine.

The entire education system is currently undergoing structural changes, which are reflected in the increased use of digital and distance learning technologies. Pedagogical culture as a personal characteristic of a teacher acts as a means of implementing professional activities in the unity of goals, objectives, as well as means and results. Simultaneously, different types of pedagogical activity form the functional structure of culture. The main features of pedagogical activity should be its complexity and integrity, creative nature, a combination of collective activity and individual creativity of teachers, because the process of solving pedagogical goals and objectives is a technology of pedagogical activity that characterizes the mode of existence and functioning of the teacher’s pedagogical culture.
 Teaching in the context of the war in Ukraine involves the use of various forms of education with the introduction of digital technologies and tools to ensure the safety of all participants in the educational process and flexibility in time and space. This approach allows you to adapt educational content to the needs of students and the requirements of the curriculum. At the same time, it becomes important to choose an individual educational trajectory in which students can change and adapt their educational process.
 The purpose of this article is to analyze the content of the concept of pedagogical culture of teachers of technical universities in modern conditions, to determine the most convenient format of university education to ensure the safety of all participants in the educational process in a war in Ukraine.
 The methodology on which this article relies includes empirical methods (observation, conversation, dialogue), which are used in full-time and distance learning, and theoretical methods (analysis, synthesis, generalization, explanation, classification). Based on them, we will formulate practical recommendations for the introduction of digital technologies and tools to ensure high-quality education for students of technical universities in the modern conditions of Ukrainian society.
 The following results are achieved within the framework of our research: the analysis of the essence of the concept of "pedagogical culture" was carried out, the main features and criteria for its formation were identified, the conditions for the formation of the pedagogical culture of teachers of technical universities in war conditions were outlined and analyzed, a study was conducted to identify the most convenient form of university education using digital technologies and tools to ensure the safety of all participants in the learning process in modern conditions.
 The conclusions make it possible to state that, despite the difficult situation in the country, it is necessary to prepare students of technical universities for their further professional and personal careers, accompanied by lifelong learning. The combination of digital tools is often a successful response to rapidly changing environments and results in a flexible teaching and learning system. This requires mandatory interaction between students and teachers who act as mentors.

Leonardo da Vinci's Creation Philosophy of Learning from Nature

Artists are intermediaries between nature and humans, as well as the reproduction of nature's creation. Leonardo da Vinci observed nature and life with a keen eye. He faithfully reflected the image of nature like a mirror and collected materials extensively. He formed a huge library of images in his mind and then made art. The basis of all this was his mastery of perspective, shadows, anatomy, zoology and botany. In addition to recreating nature, Leonardo seeks to reflect real social life and the human spirit. Artists should use reason as a guide to reflect nature, so that the work is both derived from and above nature, rather than "copying nature". Leonardo's paintings fully emphasize the creativity and divinity of art, which should be centered on the expression of man and his inner spiritual world. Obviously, Leonardo's creative principles and Aristotle's "theory of imitation" are in the same line, and he inherited the traditional view of ancient Greek art imitating nature, but did not limit himself to this. Based on his own creative practice experience, he summarized the creative law that art should not only "learn from nature" but also "transcend nature", and dialectically explained the aesthetic relationship between art and nature. This paper aims to analyze Leonardo da Vinci's creative methods and explore his creative philosophy from his works. Leonardo's creative ideas occupy an important place in the history of aesthetics and are worth learning from.

Investigating divergent thinking and creative ability in surgeons (IDEAS): a survey protocol

IntroductionA strong pipeline of creative ideas and individuals is critical if we are to tackle the complex healthcare challenges we will face in the 21st century. The field of creativity...

СПЕЦИФІКА ФОРМУВАННЯ ІНДИВІДУАЛЬНОГО СТИЛЮ В ПРОФЕСІЙНІЙ ДІЯЛЬНОСТІ МАЙБУТНІХ УЧИТЕЛІВ ЦИФРОВОЇ ТЕХНОЛОГІЇ

The article examines the peculiarities of the formation of the individual style essence connected with the professional activity of future digital technology teachers. The main factor in the renewal of the education system is the personality of the teacher, who is constantly improving his skills, because he has to mobilely react to changes taking place in the educational space, and to think creatively and find non- standard solutions. He is ready to learn throughout his life and build his professional path. Realized at the state level, society's need for a teacher of the new formation has determined the need to attract creative young teachers to schools, where the special attention should be given to the professional development. The creative nature of pedagogical work requires the presence of such a component as an individual style of activity in the structure of humanitarian specialist professionalism. The individual style of teaching gives students the opportunity to realize themselves as the creative individuals, directs activities to the development of the unique essence of everyone, provides an opportunity to develop the teacher as a person and as a professional, promotes the growth of the active, gifted, intellectually and spiritually educated citizens of Ukraine. The individual style of pedagogical activity should be the main factor and indicator of professional competence, the goal of the further professional self-improvement. The success of the humanities teacher's professional activity and the achievement of a high level of pedagogical skill depend not only on the quality of mastering a certain amount of knowledge in the relevant field, but also on a large extent of the level of formation of the effective style activity. It is the unity of the professionally unchanged and individually unique humanitarian profiles in the activity of a teacher. The mechanism that ensures the formation of the style is the personal self-regulation, which encourages the subject to self-improvement in the process of professional self-development and self-education. The way to realize an individual style is self-education, through the individual creative plans, the competition of pedagogical initiatives, participation in the work of master classes, the festival of the pedagogical ideas, internships, pedagogical workshops, the School of the teacher-experimenter, unproved work.

Анімація в системі активного дозвілля

As it turns out, in practice, animation is limited to the artistic component of organising events and conducting various types of recreation, which does not meet the current needs for managing active leisure. there is a need to change the ideological function of animation in the leisure system. The purposeof study is to reveal the ideological component of an imation and recreational activities in the system of active leisure. Material and methods of research. the study used meta-analysis, which included the following stages: selection of information from scientific sources; selection of information that meets the criterion of objectivity, elimination of doubtful and duplicate sources, i.e. ensuring the quality of the collected material; proportional inclusion in the processing of sources that reflect different views on certain events and phenomena. Results. Animation as a method aims to bring all members of the community to teamwork. It is about bringing to life the social forces inherent in the social environment (both visible and hidden) in order to implement targeted and rational transformations that involve changes in various spheres of public life. Animation should stimulate the establishment of modern democratic values, develop a critical attitude to new ideas and behavioural models, and lead to a shift from an ego-centric to a socially-centric attitude. the task of socio-cultural and physical animation in relation to individuals and small groups is to free them from social isolation, awaken active views, motivate cultural and physical self-improvement, increase sensitivity to the problems of the world around them, add faith in rational actions (behaviour), and engage people in active life. thanks to animation activities, rapid beneficial changes can occur in the hierarchy of values of both individuals and communities. An animator of culture in general and physical culture in particular is one who complements the knowledge and life experience of people with whom he or she comes into contact, awakens their interests, reveals new ideals of life patterns, and conducts a dialogue about the possibilities and ways of reasonably satisfying culturally identified and hidden needs, including personal physical culture. When programming animation, choosing classes, games and activities, it is necessary to pay attention to several important criteria, namely: the purpose of animation, a set of activities and the expected results (effects) by the participants. Conclusion. Recreational animation is an effective means of active leisure, social communication, training, health improvement, including the elimination of post-traumatic stress disorder, which is now manifested in both civilians and the military. the diversity of types and forms of recreational animation makes it possible to increase the variability and, therefore, the targeting of recreational animation programmes. the positive orientation, hedonism, spiritual and creative nature of animation activity puts it on a par with other means of psychophysical influence on the human body

Psychology of the Interaction of Understanding and Forecasting Processes in Creative Mathematical Thinking

Based on the results of the analysis of research on mathematical thinking, its creative nature has been ascertained. The results of research on creative mathematical thinking were analyzed and the expediency of studying the psychological essence of the interaction of thought processes of understanding and forecasting when solving creative mathematical problems was ascertained.The aim of the article is to find out the psychological essence of the inte­raction of thought processes of understanding and forecasting in creative ma­thematical thinking. To study the interaction of the processes of understanding and forecasting in mathematical thinking, the method of analyzing students’ search actions du­ring solving creative mathematical problems of different classes was used.the results of the research. It was established that creative mathematical thinking is a complete system of interrelated actions, with the help of which the thinking mathematical result is achieved.It was established that the processes of understanding mathematical prob-lems and predicting thinking results function throughout the entire process of solving mathematical problems.It was found that the content of search actions aimed at understanding the problem and predicting thinking results depend on the stages of solving the problem (study of the condition, search for a solution, verification of the found solution), in which their procedural and dynamic side is not only manifested, but is also being formed. At the same time, the process of understanding a creative mathematical problem and the process of forecasting are complementary.It is established that the understanding of the condition of the problem forms the content of forecasting actions, and the process of forecasting cont­ributes to the formation of understanding of the mathematical problem. It was established that in the search mathematical process it is not possible to record such a state of understanding of the problem that would ensure the emergence of a hypothesis regarding the solution.It has been found that forecasting, which takes place throughout the en-tire search process, can generate a solution hypothesis at different stages of the solution, with different states of understanding of the mathematical problem.The hypothesis of solving the problem is an indicator of the state of un-derstanding of the problem, and its approbation contributes to deepening the understanding of the essence of the problem itself. At the same time, the content of the hypothesis, its approval determines the state of understanding of the problem.conclusion. The process of the subject’s understanding of a creative math-ematical problem and the process of prediction take place throughout all stages of the solution process and are mutually complementary.

Entropy and complexity analysis of AI-generated and human-made paintings

Creativity is the ultimate characteristic of human intellect and expression, and it is inextricably linked to art. Previous research works attempted to analyze and parameterize the manifestations of art, but they had not escaped the human factor. However, the advent of Artificial Intelligence (AI) models has shaken up the research world, raising questions about the nature of creativity and whether in its artistic form it is a uniquely human quality. In this work, we aim to examine the relationship between creativity and the nature of the creator by using paintings created by both AI and humans in various artistic genres. By analysing the paintings through a mathematical lens, utilizing an entropy analysis formulated by the classic Shannon entropy and a complexity measure based on multi-scale entropy, we hope to gain a deeper understanding of the prowess of AI models and possible new insights into the ability to distinguish between a human-created work and an AI-generated one. Based on the results, we observe that differences between AI and human art can be found not only in the schematic representation, but also in the colour changes, with the AI finding it more complicated to represent painting styles without well-shaped objects, as well as colour changes regarding pixels of similar intensity values.

Criteria for the Development of the Aesthetic Culture of a Future Teacher of Fine Arts

The purpose of the article is to consider the specifics of the formation of the professional and aesthetic readiness of future teachers of fine arts. The empirical study involved 94 students of 1-4 years studying in the specialties "Technology and Fine Arts" and "Fine Arts and Drawing" in universities in Russia and Kazakhstan. Empirical research has revealed the predominance of algorithmic and stimulating-productive levels that are not characterized by an independent creative nature of activity, as well as the successful conscious and systematic application of analysis and assessment in new situations.
 
 Received: 11 September 2022 / Accepted: 17 February 2022 / Published: 5 March 2023