scholarly journals University Rhetoric as Cognitive Means of Liberalization of Mathematical Thinking

2020 ◽  
pp. 9-18
Author(s):  
V.A. Erovenko

The article deals with the understanding of mathematics lectures on the methodology of university rhetoric. It discusses private rhetoric, or rather university rhetoric, related to the sphere of “increased speech responsibility” of teaching mathematics as a cognitive tool for improving mathematical thinking in the pedagogy of university mathematical education. From the point of view of practical demand of rhetoric in lectures on the higher mathematics course, the article highlights the section of the eloquence theory that deals with the rhythm of speech, accuracy and restraint in the presentation of material, while avoiding unnecessary multiple words. In this context, university rhetoric is seen in the article as a cognitive means of liberating students’ mathematical thinking. In fact, it is good to “think” in classes in higher mathematics — it means to perform in mind a variety of intellectual actions with complex mathematical abstractions already at a new conceptual level, where the means of expression are given a methodologically sound and even leading role when affecting the recipient of the lecture.

Author(s):  
Hamlet MIKAELIAN ◽  

The general education school is the most important link in the formation of value orientations and the value system of students, which is due to the general content of the educational goals of the school and the student's relationship with teachers, friends and other participants in school life. The school is of decisive importance from the point of view of the community of value orientations and the system of values of students, the inclusion of national and universal values in them, the solution of global problems of moral and aesthetic education, the formation of a single system of cognitive values. And how does mathematics or mathematical education affect a person's value orientation, the direction of his life? Can a person, in certain situations, give preference to similar values over other values? And what is the role of mathematics education in the value system of the student and the person as a whole? The answer depends on what we mean by mathematical education or what goals it pursues. If the process of teaching mathematics is reduced to teaching mathematics, then mathematics with its formal structure of lan- guage and abstract figures is far from life and school interests (with rare exceptions in each class for individual students). Mathematical knowledge also does not lead to wisdom and philosophy of life, it even reduces the stu- dent's vital activity. However, if the process of teaching mathematics is aimed at implementing education through mathematics, then the role of mathematics increases as a means of forming cognitive, aesthetic, moral, mental and other values. This view of mathematics gives the student the opportunity to appreciate the objects studied with the help of mathematics, to look at the world in a different way. He feels more confident in different real life situations. The article deals with the problem of the formation of value orientations of students in the process of teaching mathematics. The dependence of the problem on various types of internal and external factors in the formation of value orientations in this process is considered. The problem of the formation of different levels of value orientations in the process of teaching mathematics is also considered. These are the perception, response, or recognition of value, the acquisition of value orientations, the organization of value orientations and the spread of a value orientation or a set of orientations towards activity.


2019 ◽  
Author(s):  
Vasiliy Gorbachev

The monograph investigates the methodology of formation in mathematical activity of the teaching of subject and General subject competences: principles of allocation, method of classification, criteria of formation. The subject realization of specific competencies is substantiated and detailed by adequate types of teaching activities, which significantly deepen the understanding of classical methods of teaching mathematics. In the content of General subject internal-procedural and theoretical-developing competencies, special attention is paid to the category of development of the subject of teaching. Within the framework of substantiation of internal procedural competence in the spectrum of educational mathematical theories, the problem of system formation of abstract mathematical thinking in the objective sequence of its levels is investigated. For University teachers, researchers in the areas of content of General education, competence approach in educational activities, methods of teaching mathematics, as well as teachers of mathematics and students of bachelor's and master's pedagogical education.


2019 ◽  
pp. 22-29
Author(s):  
Н. В. Фрадкіна

The purpose and tasks of the work are to analyze the contemporary Ukrainian mass culture in terms of its value and humanistic components, as well as the importance of cultural studies and Ukrainian studies in educational disciplines for the formation of a holistic worldview of modern youth.Analysis of research and publications. Scientists repeatedly turned to the problems of the role of spirituality in the formation of society and its culture. This problem is highlighted in the publications by O. Losev, V. Lytvyn, D. Likhachev, S. Avierintsev, M. Zakovych, I. Stepanenko and E. Kostyshyn.Experts see the main negative impact of mass culture on the quality approach, which determines mass culture through the market, because mass culture, from our point of view, is everything that is sold and used in mass demand.One of the most interesting studies on this issue was the work by the representatives of Frankfurt School M. Horkheimer and T. Adorno «Dialectics of Enlightenment» (1947), devoted to a detailed analysis of mass culture. Propaganda at all socio-cultural levels in the form is similar in both totalitarian and democratic countries. It is connected, according to the authors, with the direction of European enlightenment. The tendency to unify people is a manifestation of the influence of mass culture, from cinema to pop. Mass culture is a phenomenon whose existence is associated with commerce (accumulation in any form – this is the main feature of education), in general, the fact that it exists in this form is related to the direction of the history of civilization.Modern mass culture, with its externally attractive and easily assimilated ideas and symbols, appealing to the trends of modern fashion, becomes a standard of prestigious consumption, does not require intense reflection, allows you to relax, distract, not teach, but entertains, preaches hedonism as the main spiritual value. And as a consequence, there are socio-cultural risks: an active rejection of other people, which leads to the formation of indifference; cruelty as a character trait; increase of violent and mercenary crime; increase in the number of alcohol and drug addicts; anti-patriotism; indifference to the values of the family and as a result of social orphanhood and prostitution.Conclusions, perspectives of research. Thus, we can conclude that modern Ukrainian education is predominantly formed by the values of mass culture. Namely, according to the «Dialectic» by Horkheimer and Adorno, «semi-enlightenment becomes an objective spirit» of our modern society.It is concluded that only high-quality education can create the opposite of the onset of mass culture and the destruction of spirituality in our society. It is proved that only by realizing the importance of cultivating disciplines in the educational process and the spiritual upbringing of the nation, through educational reforms, humanitarian knowledge will gradually return to student audiences.Formation of youth occurs under the influence of social environment, culture, education and self-education. The optimal combination of these factors determines both the process of socialization itself and how successful it will be. In this context, one can see the leading role of education and upbringing. It turns out that the main task of modern education is to spread its influence on the development of spiritual culture of the individual, which eventually becomes a solid foundation for the formation of the individual. Such a subject requires both philosophical and humanitarian approaches in further integrated interdisciplinary research, since the availability of such research will provide the theoretical foundation for truly modern educational and personal development.


2021 ◽  
Author(s):  
Margaret M Flores ◽  
Vanessa M Hinton

The concrete-representational-abstract (CRA) sequence is an explicit methodology for teaching mathematics that has been shown to have positive effects for students with EBD. This teaching sequence fosters conceptual understanding and mathematical thinking. This article describes how a teacher used explicit CRA instruction with two elementary students with EBD. Its aims are to describe and provide rationale for CRA instruction. We will describe lesson activities, methods, materials, and procedures. Finally, we will offer suggestions for implementation.


2020 ◽  
Vol 26 (10) ◽  
pp. 51-59
Author(s):  
S. Kononov ◽  

The article is devoted to the analysis of the problems of a social security modern discourse formation in the framework of a philosophical discussion of the transformation processes of the formation vector of the state security policy. The task of the article, according to the author, is to present the problem of security in conditions when it ceases to be understood, as a concept associated with the idea of preserving the integrity of a state or nation, and functions as a phenomenon with the broadest possible social parameters. Using the methodology of phenomenological, hermeneutic and comparative analysis, the new areas of security research, common difference of which is social and personal orientation are analyzed. The author pays attention to the features of the methodology of works reflecting the point of view of the modern state, works related to the development of a systematic approach to security, works based on an axiological approach and concludes that, despite the expansion of security interpretations, all these approaches retain a common ideological foundation. presupposing the need to preserve the leading role of the state in the field of social security, including the security of the individual and society and the state. All these approaches are based on the policy of responding to emerging threats to the Russian state and do not reflect the needs of a comprehensive strategic goal-setting covering the sphere of socio-economic development of the social system. This circumstance, according to the author, leads to the formation of a security strategy that exists only in the name of protecting the state and does not imply feedback between the state and the social institutions that the state is going to protect, which leads to the ineffectiveness of modern protection measures and the need to find new ways to justify the need for this protection, a new definition of its content and essence


2021 ◽  
pp. 80-87
Author(s):  
Terdi E. S. ◽  
◽  
Skrynnik I. K. ◽  

The article is devoted to the problem of the inconsistency of the Russian imperative model of active legal capacity, according to which the content of active legal capacity in case of its restriction due to mental disability of a person is prescribed by the law, to the Convention on the Rights of Persons with Disabilities ratified by Russia in 2012. The purpose of the paper is to demonstrate the shortcomings of the imperative model, the main of which is the lack of authority of the Russian court to individually determine the consequences of restriction of active legal capacity of a person due to mental disorder, taking in account degree of actual decrease of his cognitive and volitional abilities. This purpose is achieved by the consistent implementation of the following tasks. First of all, characteristic of the Russian imperative model of active legal capacity is given. Secondly, the French dispositive model of legal capacity is described. In this model the forms of legal protection, but not the categories of active legal capacity, incapacitation and restricted active legal capacity are the backbone concepts for the legal regulation of this group of relationship. It is noted that under the influence of the Convention on the Rights of Persons with Disabilities the more progressive, from the point of view of international law, forms of this model are stipulated in many foreign countries. Thirdly, the evolved form of the French dispositive model of active legal capacity, implemented in the Bill 18 «An Act to amend the Civil Code, the Code of Civil Procedure, the Public Curator Act and various provisions as regards the protection of persons», that was adopted by the National Assembly of Quebec in 2 June 2020, is analyzed. The main advantage of the latter is that the court, establishing the form of protection, is not bound by the legal norms that imperatively determine the content of active legal capacity of a person with mental disorder. The court is able, based on the cognitive and volitional abilities of particular person, to individually determine which acts person can perform by himself, alone or with the assistance of the tutor, and which one can be performed by the tutor only. The objectives of the study determine the leading role of the comparative legal method in its implementation. The provided research makes possible to assess the perspectives of borrowing of French or Quebec dispositive models of active legal capacity of people with mental disorder by the Russian legislator.


2021 ◽  
Vol 1 (83) ◽  
pp. 132-149
Author(s):  
Sergii Boltivets

The article reveals the historical conditions, content and consequences of the “Scientific session on the problems of physiological teaching of Academician I.P. Pavlov” June 28 - July 4, 1950, which aimed to establish the leading role of the cerebral cortex with the subordination of all physiological processes reflected in the conditioned reflexes determined by IP Pavlov. But in reality, such a meaning was only the external plot of J.V. Stalin’s script, which consisted in taming scientists by means of harassing one of their groups on another. The roles of whistleblowers and accused of infidelity to the teachings of I.P. Pavlov were determined by J.V. Stalin in advance from among the students of the scientist, and his scientific authority was turned into a means of reproach and accusation. In fact, the main reports, speeches and discussions only seemingly proclaimed their relevance to the purpose of the stated topic – the problems of physiological teaching of Academician I.P. Pavlov. These problems were only a means of accusing a group of scientists, first of all the favorite and closest to I.P. Pavlov of his students in order to discredit them and further repression. The proclamation at the session of June 28 - July 4, 1950 of the actual cult of personality of Pavlov was actually a means of devaluing this doctrine, as it limited the further development of physiological, and with it psychological, genetic, medical knowledge in the former USSR. The psychiatric continuation was realized in a subsequent similar session entitled: “Physiological teachings of Academician I.P. Pavlov in psychiatry and neuropathology”, which lasted from 11 to 15 October of the following year, 1951. Both sessions were preceded by a session of the All-Union Academy of Agricultural Sciences named after V.I. Lenin (in the Russian original abbreviation “VASHNIL – All-Union Academy of Agricultural Sciences named after V.I. Lenin”) July 31 – 1948, which was the destruction of genetics. Thus, the development of genetics, physiology, psychology, and psychiatry was interrupted for several decades. Repressions included the defeat of fiction (Resolution of the Central Committee of the VKP (b) on the magazines “Zvezda” and “Leningrad”, August 1946), the defeat of musical culture (Resolution “On decadent tendencies in Soviet music” on February 10, 1948), the defeat of research history (September 1946, September 1949), the defeat of biology (session “VASHNIL” in 1948), the defeat of physiology (Pavlov’s session, 1950), another defeat of economists’ research (Stalin’s article “Economic problems of socialism in the USSR” ), the defeat of linguistics (Stalin’s article “Marxism and the problems of linguistics” in 1959), the defeat of chemistry (1951), the defeat of medicine (The case of the murderous doctors 1952 – 1953). The contrast of the way of thinking characteristic of the people of Russia is revealed, on the basis of which repressions and an unprecedented conviction in the morality of murder and other forms of violence in the USSR became possible. As a result, the purpose of the scientist and his life purpose is redirected to serve the highest levels of power instead of serving the truth and evaluated from the height of these higher levels, where the criterion of truth is a matter of personal preference of the ruler of the top floor of the pyramid. The ways of using IP Pavlov’s name at the session dedicated to his name, as well as I.P. Pavlov’s position in relation to the authorities and psychologists are given. The opposition of the work of I.P. Pavlov to the works of Z. Freud, T. Morgan and other scientists, which is not justified by the content and scientific spheres in which scientists worked, is revealed. The Ukrainian-Georgian direction of the Pavlov’s session, which was considered peripheral from the point of view of the Moscow speakers appointed by J.V. Stalin, is covered. Based on the principle of action of V.A. Romanets, the main consequences of the aftereffect of seven decades are presented. These include the incompleteness of the aftermath of the Pavlov’s session, which consists not only in the indefinite implementation of its resolution, but also the transmission from generation to generation of scholars of postcolonial countries that emerged after the collapse of the USSR, ways of thinking, organizing relationships and imitative behavior that cannot be explained modern trends in the scientific world of free countries. The mechanisms of the system of organization of scientific activity tested by Pavlovskaya and other sessions, which after the collapse of the USSR replace the dead institutions of control over scientists, are revealed. The conclusions state that Ukraine must free itself from the communist Stalinist legacy, and that Ukrainian psychologists play a leading role in this, as the psychological climate of all Ukrainian science needs to change. It is noted that the creation of conditions for the free scientific search of Ukrainian scientists of all specialties requires the elimination of generalized fear, inherited and actualized by the current apologists of Stalinist academism. This fear must be transformed into the joy of creating previously unknown knowledge for the spiritual and intellectual prosperity of the Ukrainian nation in the community of other nations of the world.


Author(s):  
Larisa V. Zhuk

The article actualizes the issue of updating the content, methods and means of teaching mathematics at the university within the sociocultural paradigm. A significant contradiction characterizing the crisis situation in the field of higher mathematical education is the mismatch between the traditional organization of the educational process and the powerful developing potential of mathematical disciplines. Being overloaded with a lot of information, altogether with its insufficiently developed anthropological, cultural-like and communicative components, mathematical education hinders the mental development of the learner’s personality in relation to such important qualities as search activity, creativity, and creative thinking. The solution to this problem can be the transformation of the cognitive-information model of learning, the introduction of pedagogical technologies that actualize the sociocultural aspect of mathematical education. The aim of the study is to develop methodological foundations for the implementation of the value-semantic orientation of teaching mathematics at the university, expressed in providing a set of pedagogical conditions related to the selection of content, determination of teaching aids and methods, ways of organizing the interaction of students and a teacher, in which students intelligently master mathematical concepts, and freely operate with them. The didactic conditions for the implementation of the value-semantic orientation of teaching mathematics at the university are: the transformation of mathematical content, expressed in learning from sociocultural experience; the psychodidactic approach, focused on building the students’ self-motivation; the use of teaching methods that provide cognitive and emotional empathy (educational mathematical discourse), the activization of productive mental activity (technology of problematic dialogue); inclusion of non-standard, creative tasks, training cases. Providing these conditions will allow to realize the humanitarian potential of mathematics, to reveal the social, practical and personal significance of the subject matter.


Author(s):  
Rupal Chaudhary

Abstract. HRI challenges AI in numerous regards: dynamic, somewhat obscure conditions that were not initially intended for robots; a wide scope of circumstances with rich semantics to comprehend and decipher; physical associations with people that require fine, low-inactivity, yet socially satisfactory control systems; regular and multimodal correspondence. This paper is an endeavor to describe these difficulties and to introduce a lot of key dynamic issues that should be tended to for an intellectual robot to effectively impart space and assignments to a person. To begin with, we distinguish the individual and community oriented intellectual aptitudes required: mathematical thinking and circumstance appraisal dependent on point of view taking and cost-adequacy investigation; securing and the article talks about every one of these capacities, presents work executions and shows how they consolidate in a sound and unique human-robot collaboration deliberative design. Fortified by the aftereffects of the preliminary, we should in the long run exhibit how the board's express information, both symbolic and quantitative, is instrumental to more extravagant and more normal human-robot associations by squeezing for certain, human-level semantics inside the robot framework.


Author(s):  
Anastasia Sofroniou

Learning techniques have changed over time in order to try and improve student engagement across different subjects in higher education. Mathematics has dominantly adhered to certain learning methods that use a more conventional approach. Interactive and active learning in Mathematics tend to be more common in further education yet, university level Mathematics is more complex, heavy in content and poses more difficulty in applying active learning approaches as a passive approach of traditional lectures has always been applied. The issues of learning problems in mathematics is ignored and the lack of metacognitive awareness of mathematical thinking and problem-solving skills seem to persist despite differences amongst educators on an effective learning methodology. Following the reform movement in mathematics education in the mid 1980’s, resulting from the dissatisfaction of conventional approaches, recommending the restructuring of mathematical delivery marked the need for modifications in teaching methodology. Employing multiple models to deliver lessons may implement the changes needed to drive student engagement and satisfaction to improve the experience in learning mathematics. In order for these methods to become applicable and effective in students’ experiences in mathematical education, educators need to be encouraged to present active learning techniques so that students can begin to facilitate their own learning which can be done through introducing approaches specific to the individual such as student-centred approaches. This paper evaluates the techniques used by mathematicians to deliver lessons and how it reflects on learning and engagement of students in comparison to the flipped classroom approach which inverts the common traditional lecture style used in classrooms. The flipped classroom model in this study is adopted to a topic from the university foundation level module, Analytical Mathematics, whereby results from the quantitative analysis undertaken show a decrease in the success of students’ performance suggesting a lesser impact on improved learning. With regards to engagement, observations from the qualitative analysis of the study highlight positive aspects of the flipped classroom model, specifically an optimistic engagement amongst peers.


Sign in / Sign up

Export Citation Format

Share Document