scholarly journals Development of the activity of gifted schoolchildren in mastering geometric con-cepts in figurative structures

2021 ◽  
Vol 9 (SPE3) ◽  
Author(s):  
Natalia G. Podaeva ◽  
Mikhail V. Podaev ◽  
Pavel A. Agafonov

The relevance of developing mental activity for mastering geometric concepts relates to the change in paradigmatic foundations taking place in modern education. Such a change is associated with the recognition of a schoolchild as a subject of educational and cognitive activity, the initiator of own activity. Objective: The authors attempted to describe a model of a didactic system for developing active usage of geometric concepts in the process of teaching geometry to mathematically gifted schoolchildren in 10-11 grades.

2021 ◽  
Vol 54 (2) ◽  
pp. 89-96
Author(s):  
Natalia G. Podaeva ◽  
◽  
Mikhail V. Podaev ◽  
Pavel A. Agafonov ◽  
◽  
...  

The relevance of addressing the development of mental activity for mastering geometric con-cepts is due to the change in paradigmatic foundations taking place in modern education, asso-ciated with the recognition of the student as a subject of educational and cognitive activity, the initiator of his own activity. The goal is to describe a model of a didactic system for the devel-opment of activities for operating with geometric concepts in the process of teaching geometry to mathematically gifted students in 10–11 grades using the resource of the GeoGebra dynamic system as a component of the electronic educational environment (ELE). The goal is achieved by solving such problems as: to characterize the architecture of the model of a system that ensures in a learning situation the development of schoolchildren's activities in operating with geometric concepts; to substantiate psychodidactic conditions for the effective development of this kind of activity using the resource of the GeoGebra dynamic system; to define levels, criteria and indi-cators of the development. The educational activity in the electronic educational environment and the developed system of tasks within the elective course “Stereometry Tasks and Computer Graphics” for students of 10–11 grades are a didactic means of developing the activities of schoolchildren related to figurative-spatial methods of coding information. The results: a model of a didactic system for the development of activities for mastering spatial-figurative concepts in the process of teaching geometry to students of 10–11grades using the resource of the dynamic system GeoGebra is described. The conclusion: the development of the activity of schoolchildren in mastering spatial-figurative concepts occurs directly in the learning process. In the structure of this kind of activity, there are actions that are different in nature.


Author(s):  
Natalia Georgievna Podaeva ◽  
Pavel Alexandrovich Agafonov

People’s intellectual abilities become a powerful civilization resource. Therefore, intellectually gifted schoolchildren’s development should be the focus of the state educational policy. Russian opinion leaders interpret the phenomenon of giftedness as a systemic quality that describes the child’s psyche as a whole. Such an approach turns into a priority to update and enrich the gifted schoolchildren’s intentional experience during geometry teaching. It assumes the development of a particular subjective state of orientation and selectivity of individual cognitive activity in preferences. This unique state becomes a mental activity mechanism, not just an accessory. The statistical data analysis confirms the hypothesis: the efficiency of actualizing gifted schoolchildren’s intentional experience in the form of their individual dispositions, beliefs, and emotional assessments while solving geometric problems during academic competitions is provided by specifically organized educational activities. It positively correlates with the level of mental activity development during mastering the activity methods with geometric concepts.


Author(s):  
Ayta Sakun ◽  
Tatiana Kadlubovich ◽  
Darina Chernyak

The problem of success became relevant at the beginning of the XXI century. Everyone strives to succeed, to be confident in themselves and in the future. Success is recognized as one of the needs of the individual. Reforming modern education is designed to make it human-centered, effective, close to the practical needs of the learner. The humanization of education is impossible without creating situations of success in learning. Such situations activate a person's cognitive motivation, reveal his creative potential, make a person strong and confident. To create situations of success, teachers use a variety of methods and tools that enhance the cognitive activity of students.


1982 ◽  
Vol 30 (2) ◽  
pp. 34-38
Author(s):  
Dorothy S. Russell ◽  
Elaine M. Bologna

What is the most neglected area of the elementary school mathematics curriculum? The answer, probably, is geometry. Too many people think of geometry as a formal structure, like the course they had in high school. As a result. they do not see its relevance to the elementary school mathematics curriculum. Activities that introduce children to geometric concepts provide experiences that help children develop and reinforce spatial perceptions.


1995 ◽  
Vol 12 (4) ◽  
pp. 335-362 ◽  
Author(s):  
Mian Muhammad Yusuf

A new teaching method, Logo-Based Instruction (LBI), was applied for teaching basic geometric concepts: points, rays, lines, and line segments. The aim of LBI is to enable teachers and students to investigate and explore Logo integration into the geometry curriculum. Logo computer language was used for developing class activities and tutorial programs. The students used Logo to solve problems. The sample consisted of sixty-seven seventh and eighth graders (31 females and 36 males; 51 blacks and 16 whites). The regular classroom teacher taught both the experimental and the control groups using the treatment plan designed by the researcher. The results of the statistical analyses (applied to the scores of achievement tests, Likert Scales, Semantic Differential Scales, Interview Sheets; and the gain in van Hiele levels) were significant in favor of the experimental group at 0.05 level. These results are encouraging and support the use of LBI for teaching geometry.


Author(s):  
Tatyana Noskova ◽  
Tatyana Pavlova

Введение. На основе целей и задач обновления содержания и методов современного образования обосновывается актуальность раскрытия потенциала цифровой среды для реализации личностно ориентированного обучения, поиска эффективных приемов педагогического сопровождения индивидуализированной самостоятельной работы обучающегося в новых информационных условиях. Материалы и методы. Предложена и методологически обоснована реализация задачного подхода к организации самостоятельной работы обучающихся в цифровой среде. В качестве обязательного условия рассматривается «культуросообразность» этого подхода, т. е. соответствие уровню современной информационной культуры и востребованных обществом образовательных результатов. Определены ключевые черты учебной задачи в цифровом пространстве в плане целеполагания, оперирования содержанием, освоения цифровых инструментов, взаимодействия с другими субъектами, учета индивидуальных потребностей и запросов обучающихся, проявляющихся в их информационном поведении. Введено и раскрыто понятие «цифровая микросреда учебной задачи», воплощающее специфику постановки учебных задач и формирования ситуаций их решения в цифровом образовательном пространстве. Результаты и обсуждение. Приведены и проанализированы результаты опросов студентов и преподавателей университета, позволившие выявить реальные черты педагогической деятельности в цифровом образовательном пространстве и соотнести их с отношением студентов к использованию различных приемов взаимодействия с ресурсами и субъектами цифровой образовательной среды. Данные подтвердили, что большая часть преподавателей не в полной мере реализует потенциал цифровой образовательной среды в контексте приоритетов современного образования и в недостаточной степени ориентируется на информационные и коммуникационные запросы студентов. Заключение. Учебная задача рассматривается как единица, в соответствии с которой в цифровой среде организуется самостоятельная учебно-познавательная деятельность. Проектирование цифровых микросред решения учебных задач позволяет в широком диапазоне реализовать возможности организации продуктивной личностно ориентированной самостоятельной работы обучающихся. Характер учебной деятельности в цифровой микросреде зависит как от педагогической методологии, так и от образовательной позиции и особенностей информационного поведения обучающегося.Introduction. Taking into account the updating goals and methods of modern education, the relevance of revealing the potential of the digital environment for the implementation of personality-oriented learning is justified. The search for effective methods of pedagogical support of an individualized student’s work in new information conditions is substantiated. Material and methods. The implementation of the objective approach to the organization of students’ independent work in a digital environment is proposed and methodologically justified. As a prerequisite is considered the “culturecongruent” of this approach, i.e. compliance with the level of modern information culture and the educational results demanded by society. The key features of the learning task in the digital space are identified in terms of goal setting, content management, the development of digital tools, interaction with other subjects, taking into account the individual student’s needs and requests, manifested in their information behavior. The concept of “digital microenvironment of the learning task” is introduced and disclosed, embodying the specifics of setting educational tasks and creating situations for their solution in the digital education space. Results and discussion. The results of surveys of university students and teachers are presented and analyzed, which made it possible to identify the real features of pedagogical activity in the digital education space and correlate them with the students’ attitude to the use of various methods of interaction with resources and persons in the digital educational environment. The data confirmed that the majority of teachers do not fully realize the potential of the digital educational environment in the context of modern education priorities and are not sufficiently oriented to students’ information and communication requests. Conclusion. The learning task is considered as a unit, according to which an independent learning and cognitive activity is organized in the digital environment. The design of the “learning tasks of digital microenvironments” provides a wide range of opportunities for organizing a productive, personality-oriented independent student work. The nature of the educational activity in the “digital microenvironment” depends both on the pedagogical methodology and on the educational position and characteristics of the student’s informational behavior.


Neophilology ◽  
2021 ◽  
pp. 444-452
Author(s):  
Marina A. Dubova

The work analyzes the concept of “Mental activity” as a component of the linguistic personality of a child during his infancy and early childhood on the linguistic material of the first book of the autobiographical novel by I.A. Bunin’s “Life of Arseniev”. Thus, the subject of the research is the linguo-cognitive model of the concept of “Mental activity” with a core and a system of peripheral means. Cognitive activity as a component of the characteristics of a linguistic personality occupies an important place in cognitive linguistics. Thus, the relevance of the presented article lies in the appeal to the phenomenon of the linguistic personality of the character of a work of art, the problem of its typology and method of description. The purpose of the article is to identify and then analyze the lexical means of representing the concept of “Mental activity” and its func-tioning in the novel based on statistical, descriptive methods and the method of conceptual analy-sis. In the conclusions reached by the author of the article, it is substantiated that the mental activity of a child reflects the specifics of his age and intellectual development, the characteristics of his environment, the socio-economic and cultural-historical conditions in which he grows up, is associated with the communicative strategies of his linguistic personality. The materials of the article can find practical application in university courses on textual criticism, cognitive linguistics, and linguistic text analysis.


TEM Journal ◽  
2021 ◽  
pp. 1325-1335
Author(s):  
Iryna Kalynychenko ◽  
Hanna Zaikina ◽  
Hanna Latina ◽  
Olha Skyba ◽  
Dmytro Kalynychenko

Mathematical interpretation of the psychophysiological «value» of modern schoolchildren’ cognitive activity will allow to identify risk groups, especially among students with high and average academic achievement. The results allowed to establish dependence of the type of functions and properties, at the expense of which the «value» of the students’ activity was manifested, from the way of organizing the educational process. The article argues that regression models of psychophysiological «value» have different filling of variables depending on gender, intensity of information and physical loads. The variables that are most often included in psychophysiological «value» regression models, i.e., are the most important markers of change in the «price» of activity of students with high academic achievement, include thinking flexibility level, extraversion, anxiety level, speed of complex visualmotor reaction, as well as average length of cardiocycles during mental activity.


1952 ◽  
Vol 45 (8) ◽  
pp. 567-571
Author(s):  
B. E. Meserve

Algebraic concepts may be used in defining elements of geometry, and geometric concepts may be used in defining elements of algebra. These alternatives, along with discussions of the use of algebra in teaching geometry† and the use of geometry in teaching algebra, should not be considered as creating a problem similar to the proverbial problem of the chicken and the egg. Rather they indicate how the interdependence of algebra and geometry may be used to improve the presentation and understanding of both subjects in terms of fundamental concepts of mathematics.


2003 ◽  
Vol 9 (4) ◽  
pp. 222-229
Author(s):  
Rebecca R. Robichaux ◽  
Paulette R. Rodrigue

Rigami has been used frequently in teaching geometry to promote the development of spatial sense; to make multicultural connections with mathematical ideas; and to provide students with a visual representation of such geometric concepts as shape, properties of shapes, congruence, similarity, and symmetry. Such activities meet the Geometry Standard (NCTM 2000), which states that students should be engaged in activities that allow them to “analyze characteristics and properties of twoand three-dimensional geometric shapes and develop mathematical arguments about geometric relationships” and to “use visualization, spatial reasoning, and geometric modeling to solve problems” (p. 41). This article begins with an explanation of the importance of communication in the mathematics classroom and then describes a middle school mathematics lesson that uses origami to meet both the Geometry Standard as well as the Communication Standard.


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