Four-mode squeezed states: two-field quantum systems and the symplectic group $$\mathrm {Sp}(4,{\mathbb {R}})$$

We construct the four-mode squeezed states and study their physical properties. These states describe two linearly-coupled quantum scalar fields, which makes them physically relevant in various contexts such as cosmology. They are shown to generalise the usual two-mode squeezed states of single-field systems, with additional transfers of quanta between the fields. To build them in the Fock space, we use the symplectic structure of the phase space. For this reason, we first present a pedagogical analysis of the symplectic group $$\mathrm {Sp}(4,{\mathbb {R}})$$ Sp ( 4 , R ) and its Lie algebra, from which we construct the four-mode squeezed states and discuss their structure. We also study the reduced single-field system obtained by tracing out one of the two fields. This procedure being easier in the phase space, it motivates the use of the Wigner function which we introduce as an alternative description of the state. It allows us to discuss environmental effects in the case of linear interactions. In particular, we find that there is always a range of interaction coupling for which decoherence occurs without substantially affecting the power spectra (hence the observables) of the system.

Features of the training process of freestyle wrestlers in the pre-competition stage

As a kind of sport, wrestling is characterized by a complex compositional nature of preparing, which requires equal attention to the development of the physical and functional qualities of an athlete. The aim of the study is to optimize the mode and algorithm of training loads of a competitive nature in the period of preparation. The effectiveness of the training process was evaluated by functional indices and blood lactate level not only at the end of training load, but also in the recovery period. In the process of the study also, pedagogical analysis was carried out, anthropometric parameters and analysis of body components were determined. The results of the study indicate the need for regular monitoring of the regime of loads in order to timely correction of the training process, taking into account the individual characteristics of wrestlers at the stage of pre-competition preparing. Keywords: competitive wrestling; freestyle wrestling; functional preparation; lactate; training process.

Remote practical training to gain professional skills and professional experience (nursing) at the medical faculty

Due to the transition of higher educational institutions to remote functioning in the spring of 2020 and the impossibility of conducting nursing practice on the basis of medical establishments it became necessary to create a new form of having classes that would allow students to master practical skills without contacting patients. The article presents the author's methodology of remote practical training in class to obtain professional skills and experience of professional activity (nursing) at the medical faculty. The author offers simple methods of making moulages for students to master practical skills and describes the methodology of organizing and conducting distance classes using these moulages. The pedagogical analysis of one of the classes is carried out. It is shown that the new form of conducting classes allows to individualize the work with students and help each student achieve perfection in mastering the methods of nursing manipulations. The method of giving remote classes described by the author can be used by teachers at practical training in the future, in classes on “nursing” at the medical faculty, in institutes of higher nursing education, and after the removal of epidemiological restrictions imposed due to the spread of a new coronavirus infection, for remote counseling of students undergoing nursing practice in medical establishments outside the Saratov region.

ANALYSES AND VALUE-MEANING INTERPRETATION OF A MUSICAL WORK AS PEDAGOGICAL PROBLEM

Рассмотрена проблема анализа и интерпретации музыкального произведения с точки зрения теоретиков музыки и педагогов-музыкантов. Обоснована вариативность подходов к анализу, обусловленная категорией слушателей музыки, жанром произведения, неповторимостью, уровнем сложности и продолжительностью звучания, уникальностью мировоззрения композитора. Охарактеризованы отдельные виды анализа в зависимости от целевой направленности, указаны трудности и пути их преодоления. Анализ инструментальных произведений с позиций интонационной теории (интонационно-образный анализ) – своего рода социальное, историческое, художественное исследование, при котором необходима организация общения детей с автором и исполнителями сочинения в форме живого диалога, направленного на погружение в художественно-образный мир произведения, выявление смысла и эмоционально-ценностных отношений, воплощенных в образах-интонациях, формирование к нему собственного отношения (В. В. Медушевский). Представленные виды музыковедческого анализа применяются в практике музыкального образования школьников в зависимости от особенностей произведения и предпочтений педагога. Показан пример музыкально-педагогического анализа инструментальной пьесы студентами как один из возможных вариантов для использования в педагогической практике с учащимися общеобразовательной школы. The article observes the problem of analyses and interpretation of a piece of music from the point of view of music theorists and music teachers. The variability of approaches to the analysis is substantiated due to the category of the listeners, the genre of a piece of music, the uniqueness, the level of complexity and duration of the sound, the uniqueness of the composer’s worldview. Certain types of analysis, depending on the target orientation, are characterized, difficulties and ways of overcoming them are indicated. Analysis of an instrumental works from the point of view of intonation theory (intonation-figurative analysis) is a kind of social, historical, artistic research, in which it is necessary to organize communication between children and the author and performers of the composition in the form of a live dialogue aimed at immersion in the artistic-figurative world of the work, identifying meaning and emotional-value relations, embodied in images-intonations, the formation of one’s own attitude towards him (V. V. Medushevsky). The presented types of music studying analyses are used in the practice of music education of schoolchildren, depending on the characteristics of the work and the preferences of the teacher. An example of musical and pedagogical analysis of an instrumental piece by students is shown as one of the possible options for using in pedagogical practice with secondary school students.

Tutorial support for forming the readiness of future teachers for recreational work with children in summer camps

Introduction. The urgency of the problem presented in the article is due to the need to form the readiness of future teachers for recreational work with children. The authors of the article carried out a pedagogical analysis of the works of modern scientists devoted to the problems of finding methods, means of preserving, strengthening the health of students in the conditions of the educational process. In this regard, the natural environment acts as a powerful factor in health-improving work with children in country summer camps. They are the most massive type of extra curricular organizations in our country, in which future teachers, as trainees, can carry out work to preserve, strengthen the health of children, as well as carry out useful activities to form an ecological culture, a healthy and safe lifestyle among the younger generation. There is an obvious need to prepare future teachers to carry out this work with children. Tutor support of this process is of particular importance in solving this problem, since it makes it personified, which significantly increases its effectiveness. The purpose of the article is to identify the most effective methods and forms of tutoring support for the process of forming the readiness of future teachers for health-improving work with children, to analyze the results of its implementation in the educational process of a pedagogical universityMaterials and Methods. In the course of research, the following methods were used: analysis of ecological-valeological, psychological-pedagogical literature; normative documents on health protection and promotion, on education; analysis of teaching materials; systematization; comparison; modeling; studying the pedagogical experience of university teachers; observation; testing; questioning; conversation; oral questioning; quantitative and qualitative analysis of the data obtained; building an individual educational route for future teachers.Results. The result of the study was the implementation of the author's program of tutor support for the process of forming the readiness of future teachers for health-improving work with children using methods, techniques and forms that have proven their effectiveness.Discussion and Conclusion. In the course of the study, the most effective methods, techniques and forms of tutor support of the process of forming the readiness of future teachers for recreational work with children were identified. An analysis of the results of experimental work is presented, which confirms the effectiveness of this support.Highlights:- it is proved that the urgency of the problem of tutor support of the process of forming the readiness of future teachers for recreational work with children is determined by objective contradictions;- tutor support for tutors is a targeted sequence of interdependent stages: diagnostic-motivational, design, implementation and analytical;- the methods, forms and means of tutor support of the process of formation of future teachers' readiness for health-improving work with children are characterized;- the criteria for the level of formation of the readiness of future teachers for health-improving work with children have been determined: cognitive, emotional and behavioral;- the influence of tutor support of the process of forming the readiness of future teachers for health-improving work with children on its effectiveness has been proved;- the results of the diagnostic study are presented.

History of creating curricula, programs and textbooks on foreign language for universities of Kazakhstan

Like any private didactics the methodology of teaching foreign languages, has its own history, knowledge of which is necessary for understanding the main stages of development of the theory and practice of teaching, the variety of approaches and methods of teaching foreign languages in the modern world. This study aims to research the history of creating curricula, programs and textbooks on foreign language for universities of Kazakhstan. The research conducted a Historical and pedagogical analysis which showed that foreign language teaching has its roots in the deep past, and played a huge role in the development of human society, since it determined the progress of the transferring the methodological experience and contributed to the social development of mankind. Keywords: foreign language; ideological principles; historical; pedagogical analysis .

Pedagogical Analysis of the Baroque Period Piano Repertoire: Example of Italy

The aim of this study is to access editions of Italian Baroque works in place; to examine the availability of these works in terms of gaining techniques for playing in piano education, to gain new works aimed at different pedagogical stages in the field and to acquire new but unknown works in piano education repertoire. This research was carried out with the literature review model. During the first three months of the research, 158 baroque period composers were found among 2173 Italian composers. 50 composers composing on keyboard instruments were reached among 158 baroque composers. For this research study, the library of Dipartimento delle Arti dell’Universita di Bologna the Sala Borsa library, the Giovanni Martini Conservatory library and international museum and library of music in Bologna were visited and the works of composers made on the keyboard instruments were found. The number of works performed by composer on keyboard instruments is quite high. However, according to the objective of the project, it is aimed to perform pedagogical analysis by selecting one work from each composer. For analysis, created to the work evaluation forms prepared by the researcher. 50 works analyzed according to this form. While 48 Italian works can be used in piano education, 6 Italian works are not suitable for piano education. However, in order to use these works in piano education, these must be arranged from organ to pianoforte. An example of this is presented in this study.

MODERN TRENDS OF ORGANIZING METHODOLOGICAL WORK IN PRESCHOOL EDUCATIONAL INSTITUTIONS

The article investigates theoretical frameworks of the organization of methodological work in educational institutions under the conditions of reformation and modernization of the Ukrainian education system.The author discusses how, a great deal of educational institutions, peculiarities of parents’ requests, and interaction with the social environment cause the need for teachers in the methodological assistance of experienced and competent professionals, in particular, the educator-methodologist. The necessity to re-orient methodological work to meet the modern needs of the education sector and requirements of the society is determined. The goal of the current work is to conduct a psychological and pedagogical analysis of theoretical approaches to understanding the content of methodological work, in preschool educational institutions, under the conditions of challenges and changes of the twenty-first century. The tasks of an educator-methodologist and conditions, which should be created in an educational institution in order to motivate teachers to develop their personality and creativity are illustrated by the author. Different aspects of organization of methodological work are introduced and analysed in the article. Generalization of the theoretical and practical studies on the problem enabled us to conclude that the methodological work in educational institutions is a unifying, managerial systemic activity of the educator-methodologist, which must meet the modern needs of the society. This systematic activity is composed of the following components: tasks, principles, approaches, forms and methods of work, means of influencing the subjects of the educational process. Thus, the article contextualizes the tasks and conditions of effective methodological work with the teaching staff, considering innovations in preschool education.The conducted study is not completed, and it is planned to study and develop specific functions, forms, methods and technologies of the educator-methodologist work in a modern preschool institution. Keywords: methodological work; preschool education; professional competence; conditions; tasks; innovations; reforms; teacher-methodologist; self-fulfilment.

Historical and Pedagogical Analysis of the Development of the System of Professional Training of the Russian Police Staff (Police): XVIII - XXI Centuries

Introduction. The article examines the results of the study of the problem of professional training of police officers (militia) in the historical and pedagogical aspect.Materials and Methods. The study is based on an analysis of various sources: regulatory legal acts of different years, dissertation research, scientific articles, memoirs of leaders and officers of the police (militia), historical periodicals, monographs. The leading methods were: periodization method, comparative-historical method, logical-historical analysis of sources.Results. The analysis of historical sources made it possible to identify the reasons and conditions that had a qualitative impact on the formation and development of the system of departmental education of the police (militia): political, economic, social, cultural, operational and service. The interdependence of the conditions noted made it possible to determine four historical stages in the formation and development of professional education of the police (militia): the first stage (I quarter of the 18th - I half of the 19th centuries), the second stage (II half of the 19th – the beginning of the 20th centuries), the third stage (the beginning of the 20th – the beginning of the XXI centuries), the fourth stage (2011 – present). Each historical stage is determined by the socio-economic and political conditions for the development of the Ministry of Internal Affairs of Russia as a state law enforcement agency, characterized by certain professional requirements for the personality of a policeman (policeman), and the directions of development of departmental education of the Ministry of Internal Affairs of Russia.Discussion and Conclusions. Based on the historical analysis, it is concluded that the modern development of departmental education of the Ministry of Internal Affairs of Russia has retained the essence of the historical concept of law enforcement training and education.Scientific novelty. The paper presents the results of the historical and pedagogical analysis of the development of the system of departmental law enforcement education, identifies the stages of development of this system, taking into account the requirements put forward for the professional and personal qualities of a police officer in different historical eras; features of vocational training, including in the system of additional vocational education; educational and target tasks implemented in the process of teaching and upbringing. The proposed description of the stages allows us to correlate the historical aspects of the formation of professional training of police officers with the modern goals and objectives of vocational education; the requirements put forward for the professional and personal qualities of the employees of the Ministry of Internal Affairs of Russia, as well as determine the further prospects for the development of this system.Practical significance. The results of the study can be used in the professional training of future bachelors, specialists of the Ministry of Internal Affairs of Russia, in teaching educational disciplines of a pedagogical and legal profile, in the development of methodological materials for advanced training and retraining courses for police personnel, in carrying out activities in extracurricular activities (scientific circles).

The Good Place in Your Classroom: Recommendations for Teaching Management Ethics

The sitcom The Good Place can be used by management instructors to teach ethical frameworks and concepts. This series, familiar to many undergraduate students in the US, features a Professor of Ethics and Moral Philosophy who gives mini lectures applied to what the characters are experiencing. These mini lectures can be shown to undergraduates studying ethics in a full course or as a subsection of courses such as management, organizational behavior, or leadership. This article provides information on particular clips that management instructors can use, recommendations for discussion topics with prompts provided, and a comparative pedagogical analysis of using this resource.