Algorithm for rational determination of the area of a triangle for the development of students' creative thinking and practical application. Properties of the 90 Degrees angle tangent

2021 ◽  
pp. 46-55
Author(s):  
V. P. Zudin

The article presents the formulas derived by the author for determining the area of a triangle by a side and two adjacent angles. These for - mulas are used to activate the educational process — students in practice figure out how to rationally determine the area of land plots, buildings, draw up and solve trigonometric equations, prove the properties of the tangent of an angle equal to 90 degrees, correct the graph of the function y = tg x. To carry out calculations of the areas of triangles, to prove the properties of 90 degree angle tangent, to solve trigonometric equations, programs are written in the Visual Basic For Application language in Microsoft Word. Using the binary-decimal system and VBA programs in Word, the value of the tangent of an angle is calculated so close to an angle of 90 degrees that this value can be roughly taken as the 90 degrees angle tangent. The study of this material at informatics lessons contributes to the development of creative thinking of students, increasing their motivation to study informatics and information technology.

2020 ◽  
pp. 32-41
Author(s):  
V. P. Zudin

The article presents new, more accurate algorithms and formulas for calculating the area of a circle, volume of a ball, surface area of a ball. To prove these algorithms and formulas and their practical application, programs have been developed in the Visual Basic for Application in Microsoft Word. These algorithms and formulas should be studied and applied in all educational institutions, as they are closer to the truth. From a more accurate calculation using these formulas, you can get an economic effect when calculating trajectories of movements in space, on the surface of the globe, in the construction and maintenance of products in the form of a circle or a ball. The study of this material in informatics lessons contributes to the development of students' creative thinking, increasing their motivation to study informatics and IT.


Author(s):  
Svitlana Bader ◽  

The urgency of the problem of developing the creative thinking of future teachers is due to a number of factors provoking the emergence of new requirements for a modern person: the ability to make decisions quickly, independently model their own future and take responsibility for it; learn throughout life, successfully build relationships with others, be creative. In the article, the author makes an attempt to substantiate the expediency of using neurographics as an art-therapeutic method for the development of an important feature of the thinking of a modern student of a pedagogical profile ‒ creativity. The essence of the concepts «creative thinking», «neurographics» is determined. The leading concept of the work ‒ neurographics ‒ is defined as an art-technology for working with the subconscious of a person, when, in the process of drawing according to a special algorithm, new neural connections are formed in a person, creative thinking develops, which allows you to look at the problem in a new way and solve it more effectively. The principles of neurographic drawing (neuroplasticity, reliance on the inner meaning of the personality, a high degree of independence), its content, an algorithm for using it for the development of students' creative thinking (working with a request, forming a composition, combining elements / rounding, searching for new forms, field lines, fixing new results, reflection), the interpretation of the leading figures (circle, triangle, square, as well as a neurographic line) in a neurographic drawing is given. The effectiveness of using the neurographic method in the educational process of higher educational institutions for the development of creative thinking of future teachers has been proved.


Author(s):  
Marina Marchenoka

Music like any other art helps the individual explore the world, develops the individual’s emotional sphere, building fundamentals for systematisation and classification of phenomena, algorithms of creative thinking on the basis of the perception and analysis of music artistic characters, thus defining development of students’ memory, fantasy and imagination, stimulating them to search for unusual solutions of problems. The development of these abilities is indispensable in any sphere of human activity and – what is the most important – gives a possibility for individual’s self-realisation. Therefore the main task of music education is development of the complete personality, based on the needs and demands of the modern society. Solution of this task requires reviewing of the music educational process, modernisation of the ways of realisation of the educational content, ensuring creation of new teaching forms, methods, means and technologies.


2020 ◽  
Vol 72 (2) ◽  
pp. 566-575
Author(s):  
A. Sarbassova ◽  

One of the technologies aimed at developing students' creative thinking is search technology. The search technology of learning is the organization of search, cognitive activities of students by setting cognitive and practical tasks that require independent, creative solution of the teacher. The essence of search technology is the search organization and application of knowledge, ensuring their assimilation when searching for methods of scientific cognition, building interest in creative activity, needs in self-education, assistance in understanding the problems of the proposed tasks.This technology was implemented into the educational process by American scientist John Dewey. The article examines how to organize the types of tasks, taking into account the requirements for search technology. The use of this technology in business Kazakh language courses is carried out in the form of practical experience, which creates competencies that contribute to the development of students' cognitive knowledge, the development of creative thinking.


2021 ◽  
Vol 70 (2) ◽  
pp. 165-176
Author(s):  
Irena Vasojević ◽  
Zora Krnjaić ◽  
Nena Vasojević

This paper aims to highlight the importance and the possibilities of developing creativity and creative thinking in mathematics instruction. One of the key tasks of the educational process in schools is the stimulation and development of students' creative abilities. Students' creative abilities and divergent forms of working with them are not restricted to specific areas and fields of human activity; rather, it is a matter of the specific and distinctive qualities of the development of creativity and creative expression in certain areas, or school subjects. The paper examines the need and the possibilities of developing creative thinking in children of primary school age and in mathematics instruction in the lower and upper grades of primary school, since creativity is not linked exclusively to art or certain fields or school subjects, nor is it the privilege only of gifted and talented children and students.


2021 ◽  
Vol 113 ◽  
pp. 00099
Author(s):  
A.Y. Maksimenko ◽  
I.V. Zargaryan ◽  
E.O. Katranji

The article is devoted to the comprehension of modern problems of the development of the creative potential of the personality of students of a pedagogical university. The psychological and pedagogical nature of creative thinking is studied and emphasized, in accordance with which methods and conditions of teaching that need to be transformed are proposed. Taking into account the intensity of the influence of the informational space, the peculiarities of training and creative activity of students are also considered. A scientific method for the formation of creative ideas at the stage of search is proposed. The pedagogical conditions and requirements for teachers of the pedagogical department are formulated, which are necessary for the successful development of students’ creative abilities. The proposals for stimulating the creative and cognitive activity of students are generalized, namely, for their inclusion in exhibition and project activities throughout the entire course of study. The features of the development of the artistic potential of a student’s personality in artistic and educational activities are taken into account, the characteristics of the main level of development is given.


Author(s):  
Мария Петровна Петрова

На основе идей российского теоретика педагогики А. Асмолова автор подходит к необходимости исследования системы дополнительного образования детей как к механизму формирования практического разума в трех направлениях: овладение умениями и навыками технического мышления; овладение межкультурными компетенциями; раскрытие креативного мышления, творческих способностей детей. Анализируя процесс образования как механизма воспроизводства и преемственности поколений посредством соответствующих историческому периоду способов передачи информации, автор заключает, что в советской, а затем и российской системе сложилось весьма неудачное определение уровней и видов образования: дошкольное, дополнительное, послевузовское и т. д. Определение данных уровней исходит из организационного критерия - школоцентрированного и вузоцентрированного отношения к образовательному процессу. По мнению автора, следовало бы исходить из понимания непрерывности образования в течение всей жизни и ведущих достижений человека на различных его этапах. Дополнительное образование детей строится на принципе неформализации образования [5], что раскрывает новые возможности в условиях расшколивания, усиления внимания к практическим компетенциям, различным видам умений и навыков. Basing on the ideas of A. Asmolov, the Russian theorist of pedagogy, the author approaches the study of the system of extracurricular education of children as a mechanism for the development of practical reason in three directions: mastering the skills of technical thinking; mastering the intercultural competences; developing creative thinking and creative abilities at children. Analyzing the process of education as a mechanism of reproduction and succession of generations by means of relevant information transfer methods, the author concludes that in the Soviet, then in the Russian system, there has been a rather lame determination of the levels and types of education: preschool, additional, postgraduate, etc. The determination of these levels is based on the organizational criterion: school-centered and university-centered approach to the educational process. According to the author, one should proceed from an understanding of the continuity of a person’s education and achievements of at various stages throughout his or her life. Extracurricular education of children is based on the principle of nonformalization of education [5], which opens up new opportunities in the context of training, paying more attention to practical competences, cultivating various skills.


Author(s):  
Anastasiia Ostapenko

The article analyzes and defines the essence of the concept of «critical thinking», presents the structure of critical thinking. The purpose of the article is to reveal the essence of the concept of «critical thinking», to determine its structure and to characterize the conditions of its effective development on the basis of the conducted analysis of the scientific literature. The following methods were used in the study: analysis and interpretation of domestic and foreign philosophical, normative, psychological, pedagogical and methodological literature; analysis and generalization of advanced domestic, foreign and personal pedagogical experience on the research problem. The results. On the basis of the considered position of the theory of critical thinking development according to S. Terno and regularities on which this technique is based, the procedures which belong to the operating block of critical thinking are defined. The essence of the concept of «students’ critical thinking» is interpreted as a system of judgments that is used to analyze things and events with the formulation of sound conclusions and allows students to make sound judgments and interpretations, as well as correctly apply conclusions to situations and problems. The peculiarities of the development of students’ critical thinking include the following: the consistent pattern of dynamics, according to which the number of all subsequent changes depends on the number of changes at the previous stage; the regularity of personality development in the educational process; the regularity of educational process management; the stimulation regularity; the regularity of unity of sensory, logical and practice in the educational process; the regularity of unity of external (pedagogical) and internal (cognitive) activities; the regularity of the educational process conditionality. It is proved that the structure of students' critical thinking consists of three components: motivational, activity, reflexive-evaluative. The author developed a model for the development of students’ critical thinking, the tasks of which are: mastering by students the knowledge of logical, problem, creative thinking; teaching students the basic logical concepts (reflection – denial – criticism – criticism – self-criticism – argumentation – proof – refutation – evaluation – self-evaluation – evaluative judgment); forming the students’ ability to build critical reasoning; teaching students to identify logical errors of critical assessment of the phenomenon, behavior. Conclusions. The results of the study showed that an effective means of managing the process of forming students' critical thinking is the use of techniques and methods for solving problems, and that different forms and methods of teaching are used depending on the content of teaching, teaching aids, the students’ individual characteristics of the study level, and the level of teachers’ readiness to the development of critical thinking of students.


2020 ◽  
Vol 65 (1) ◽  
pp. 106-111
Author(s):  
S.R. Kydyrova ◽  
◽  
M. Pirimjarov ◽  

This article discusses the psychological and pedagogical conditions for the development of creative thinking of students. The problem of the development of students' creative abilities is defined as one of the urgent problems of forming the personality of a future specialist.However, the concept of creativity is also defined as a set of abilities and other features that contribute to potentially successful creative thinking. Scientific views of some foreign scientists, including Gestalt psychologists, are proposed on this problem.Along with this, it is mentioned about approaches that stimulate modern students to creative thinking in the educational process. The indicators for determining the level of development of creative thinking of students are also given. The author defined psychological and pedagogical conditions that contribute to the successful development of creative thinking of future teaching staff in the light of this problem.


Author(s):  
Boris Novikov ◽  
Tamara Rudenko ◽  
Hanna Kostromina

An analysis of the essence and development of creative thinking, the determination of the main structural elements of this phenomenon makes it possible to identify effective approaches to the formation and development of professional creative thinking of students. You can define a few approaches to the formation of creative personality thinking. This is a systematic, activity and cultural approaches. Within the system approach, the main components of creative thinking are considered not distinguished, but in interconnection with each other as a holistic system. The definition of creative activity of personality and its personal abilities is the basis of a personal approach. The activity approach is guided by educational and scientific activities in the educational process and is the main condition for the development of professional creative thinking of students. The meaningful basis of the culturological approach is assimilated by values. To the main elements of training that are capable of influencing the formation of creative thinking of students is problematic, that is, in order to increase mental activity it is necessary to include problematic tasks, simulated situations. This approach will contribute to the formation of creative thinking of students, therefore, in our opinion; the methodology of problem-oriented learning is the most successful. Students are given the opportunity to solve complex tasks independently, make decisions and open scientific truths. Making a new material to think, analyze the facts synthesizing new ideas, develop reflexive thinking by self-knowledge, self-observation.


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