scholarly journals TECHNOLOGY OF DESIGNING OF MATHEMATICAL EDUCATION ON AN INNOVATIVE BASIS IN A GENERAL EDUCATIONAL ORGANIZATION

PRIMO ASPECTU ◽  
2020 ◽  
pp. 83-92
Author(s):  
Liana SAGATELOVA
Keyword(s):  
General Education ◽  
Educational System ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Design Algorithm ◽  
Design Procedures ◽  
Pedagogical Design ◽  
Education Organization ◽  
The Individual

The actual need of the design of mathematical education in a general education organization that takes into account socio-economic and pedagogical realities, is substantiates in this article. The concepts “design of mathematical education in a general education organization”, “innovative educational system for teaching mathematics”, “design technology” are defined. The design of mathematical education as an innovative educational system for teaching mathematics in a general education organization has a landmark nature. It is reflected in specific design procedures, which determines the manufacturability of pedagogical design. The technology includes instructions for step-by-step actions and methods for their implementation, forms and methods of activity. The technology of designing mathematical education on an innovative basis is presented in the form of an algorithm (consisting of three interrelated steps and 9 procedures) describing a sequence of actions and methods for their implementation. The design algorithm developed in the framework of the research is an organizational form of development and further effective implementation of the design model of mathematical education on an innovative basis. Designing of mathematics education in a general education organization allows you to balance the individual desires and capabilities of all subjects of education, taking into account the socio-economic context, which improves the quality of mathematical education.

scholarly journals An integrated assessment of the quality of teaching Mathematics in school

2021 ◽  
Vol 101 ◽  
pp. 03039
Author(s):  
Liana Sagatelova ◽  
Irina Tarasova ◽  
Nataliya Asanova
Keyword(s):  
General Education ◽  
Education Quality ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Complex Objects ◽  
Quality Of Teaching ◽  
Volgograd Region ◽  
Integral Assessment ◽  
High Level

This article presents a diagnostic criteria-based methodology for a systematic and complex assessment of the quality of teaching Mathematics in school. This methodology may help assess the prospects of applied approaches to teaching Mathematics as well as monitor it and describe in terms of ensuring the high quality of general education in Mathematics. We used Kolmogorov’s “convolution of qualities” as a basis for developing this methodology for the systematic and complex diagnostics of mathematical education in school. This methodology is used to assess the quality and optimization of complex objects in mechanics, chemical industry, economics, and higher education. The suggested integral assessment (systematic and complex diagnostics) was successfully applied to evaluate the quality of teaching Mathematics in schools of the Volgograd region. We defined three levels of mathematical education quality: discrete (minimal and restricted level), fragmentary (average functional level), and integrated and comprehensive (a rather high level).

scholarly journals The Use of Integrated Lessons in Professional Educational Organizations for the Formation of Skills to Solve Applied Problems

2019 ◽  
Vol 5 (4) ◽  
pp. 476-482
Author(s):  
O. Sursyakova
Keyword(s):  
General Education ◽  
Vocational Education ◽  
Daily Practice ◽  
Mathematical Education ◽  
Educational Organizations ◽  
School Teachers ◽  
Secondary Vocational Education ◽  
Professional Activities ◽  
Positive Results

In the professional educational organizations implementing the educational program of secondary General education within the development of professional educational on the basis of the main General education, studying of mathematics has the features depending on a profile of secondary vocational education. Profiling goals of mathematical education are reflected in the choice of priorities in the organization of educational activities of students. The scientific and technological revolution in all areas of human activity imposes new requirements on knowledge, technical culture, General and applied nature of education. This poses new challenges for the professional educational to improve education. The applied orientation of the school course of mathematics is carried out in order to improve the quality of mathematical education of student’s, the application of their mathematical knowledge to solve problems of daily practice and further professional activities. The article is devoted to the peculiarities and importance of integrated classes ‘Mathematics and Chemistry’ for obtaining professional skills in secondary vocational education. Experimental work has yielded positive results. The significance of the research: the materials of the article can be useful for school teachers of mathematics.

Artificial Intelligence Assisted Learning (AIAL) Blueprint

2020 ◽  
pp. 317-338
Author(s):  
Alexiei Dingli ◽  
Lara Caruana Montalto
Keyword(s):  
Artificial Intelligence ◽  
Educational System ◽  
Assembly Line ◽  
Industrial Revolution ◽  
Quality Of Teaching ◽  
The Moment ◽  
The Individual ◽  
Case Basis

Education is facing various challenges at the moment and needs to be reinvented. Some of the methods used have been inspired by the industrial revolution when an assembly line one-size-fits-all approach was setup in schools. Today, teachers are struggling to manage the number of students in a class thus making the quality of teaching inconsistent. Furthermore, they have to deal with students having different abilities in the same class which makes it impossible to give each and every student the individual attention they deserve. Through the artificial intelligence assisted learning (AIAL) system, the authors believe that they can personalise the learning and thus free a lot of time for the teacher which can be used to focus on those students that are really in need. This will be done on a case by case basis, thus creating a fairer educational system which is personalized for the needs of each and every student which guarantees equity.

scholarly journals PHILOSOPHICAL AND PEDAGOGICAL HERITAGE OF ACADEMICIAN IVAN ZIAZUN IN THE CONTEXT OF MODERNIZATION OF EDUCATION

2018 ◽  
pp. 9-19
Author(s):  
Vasyl Kremen
Keyword(s):  
Human Nature ◽  
Personal Development ◽  
Human Life ◽  
Self Evaluation ◽  
Pedagogical Action ◽  
Education Organization ◽  
Self Development ◽  
Teacher Personality ◽  
The Individual

The article stated that modern Ukrainian education and science require a new understanding of the philosophical and intellectual concepts, theories, and the experience of education organization in synchronic and diachronic discourse, which provides the quality of innovative educational and scientific reformation, enrichment of the nation's intellect, and search for landmarks in the establishment of Ukraine in the European space. The conceptual ideas of academician Ivan Andriiovych Ziaziun are generalized in order to actualize the philosophical and pedagogical achievements of the scientist-philosopher in modern pedagogical theory and educational practice.The conceptual ideas of academician I. Ziaziun were embodied in the author's conceptions of the philosophical and pedagogical heritage: "philosophy of education", "pedagogical excellence", "pedagogy of good", "the beauty of pedagogical action" etc. The scientist substantiated the interdisciplinary connection of psychology and pedagogy, extrapolating it in the context of the meaning of consciousness and sub- consciousness in professional and personal development of a teacher, giving meaningful value to reflection as an instrument of self-evaluation and self-perfection. The problem of human nature is a pivot in the philosophical concept of academicianI. Ziaziun, which manifests itself in the spiritual, psychic, ethical and aesthetic dimensions of human life. In the context of defining the human nature of the individual, the academician substantiated the principles of the philosophy of education.The key requirement of the humanistic paradigm of education is pedagogical thinking and pedagogical action, which constitute the values of subject-subject interaction in the educational environment. The scientist emphasized that pedagogical excellence is a manifestation of activity of teacher personality, a humanistic philoso- phical position, the effectiveness of extrapolation of adequate methods and forms of learning. The teacher's pedagogical act is manifested in self-realization within pedagogical activity, which ensures the self-development of student's personality, in pedagogical technique, speech culture, the dialogic nature of communication, the search for truth, in figurative aesthetic worldview, and creative activity.

scholarly journals Development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of pupils' educational results

2021 ◽  
Vol 53 (5) ◽  
pp. 306-322
Author(s):  
Mikhail I. Bocharov ◽  
◽  
Tatiana N. Mozharova ◽  
Elena V. Soboleva ◽  
Tatyana N. Suvorova ◽  
...  
Keyword(s):  
Short Story ◽  
Computer Games ◽  
Research Work ◽  
Digital Technologies ◽  
Personalized Learning ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Non Linear ◽  
Educational Path

The problem and the aim of the study. The implementation of educational programs in different subjects of modern school, including mathematics, is based on the principles of personalized learning, the active use of digital technologies and means of interactive interaction to ensure a high level of mathematical education. The purpose of the article is to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of educational results. Research methods. The theoretical analysis and generalization of scientific literature on the problems of improvement of the quality of mathematical education, of the personalization of education by digital technologies, of the didactic role of the visual interactive literature as a kind of computer games, are applied. The main methodological principle of the study is determined by the key condition of personalized learning. That is the freedom of students to choose their educational path. The empirical methods were used: observation, analysis of the results of work with AXMA Story Maker application (answer selection, number of attempts to find a solution and of publications read). The study involved 121 7th-grade pupils of school №11, Kirov. In the experiment, the Fisher criterion was used to process the results. Results. The members of the experimental group were involved in the study of mathematical theory, solving of the tasks according to their personalized educational path in the interactive AXMA Story Maker space. Personalization is supported by self-selection of the pupil's response in a non-linear visual novel environment. Statistically significant differences between the experimental and control groups in terms of the level of educational results were revealed (φcrit = 1.64 <φemp = 2.964). In conclusion, the features that should be considered when designing a personalized model of teaching mathematics by means of interactive novels are summarized: correlating the didactic goal and the result of educational research work in a non-linear environment, choosing a plot for a visual short story, considering the text component and the personalized trajectory of cognition etc.

scholarly journals SOME PROBLEMS OF QUALITY ASSURANCE OF MATHEMATICAL EDUCATION OF FUTURE PRIMARY SCHOOL TEACHERS

2020 ◽  
Vol 3 ◽  
pp. 164
Author(s):  
Olga Granichina ◽  
Olga Sheremetyeva
Keyword(s):  
Personal Experience ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Regulatory Requirements ◽  
School Teachers ◽  
Primary School Teachers ◽  
Russian Scientific ◽  
State Pedagogical ◽  
Education Of Students

The article discusses the most significant problems of ensuring the quality of mathematical education of students studying in the direction of Pedagogical Education, profile "Primary Education". The presented results were obtained as a result of the analysis of theoretical studies published in Russian scientific sources, and on the basis of a survey of mathematics teachers and methods of teaching mathematics working in leading pedagogical universities of Russia. As a result of processing the obtained data, the identified problems are ranked by degree of relevance. In the article, the authors proposed possible solutions to the identified problems within the existing regulatory requirements on the basis of their personal experience in teaching mathematical disciplines at a teacher training university, as well as possible risks that arise when they are implemented. The authors present individual examples of the implementation of these ideas in the practice of teaching students at the Herzen State Pedagogical University of Russia.

Familistic Expertise of the Educational System of a General Education Organization

2020 ◽  
Author(s):  
Р.А. Ткаченко
Keyword(s):  
General Education ◽  
Educational System ◽  
Education System ◽  
Family Policy ◽  
Educational Organizations ◽  
Regulatory Requirements ◽  
Effective Response ◽  
Education Organization ◽  
The Creation

создание и развитие воспитательной системы общеобразовательной организации – адекватный и эффективный ответ на возрастающее значение воспитания в системе общего образования. Проведение фамилистической экспертизы на этапах проектирования и контроля развития воспитательной системы позволит учесть нормативные требования к содержанию воспитания в части соответствия семейной политики, а также обеспечить реализацию приоритетного права родителей на воспитание своих детей. the creation and development of the educational system of General educational organizations is an adequate and effective response to the growing importance of education in the General education system. Holding familistical expertise in designing and monitoring the development of the educational system will take into account regulatory requirements for the content of education in terms of family policy, and to ensure the implementation of priority rights of parents to raise their children.

scholarly journals CONCEPTUAL GUIDELINES OF TEACHING MATHEMATICS IN THE 1ST GRADE OF A GENERAL EDUCATION SCHOOL

2021 ◽  
pp. 172-185
Author(s):  
Александр Александрович Никитин ◽  
Ольга Александровна Никитина
Keyword(s):  
General Education ◽  
Federal State ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Multivariate Tests ◽  
Global Trends ◽  
Educational Standard ◽  
Education School ◽  
Teaching Of Mathematics ◽  
State Educational

Преподавание математики, начиная с начальной школы, должно отражать общемировые тенденции развития математической и педагогической научной мысли и представлять собой проекцию математической науки на школьное обучение. Авторы разрабатывают направления обучения математике в 1-м классе на основании Федерального государственного образовательного стандарта с учетом разбиений на элементы знаний. На основании этого описывается структура и формирование содержания разрабатываемого учебника по главам. Теоретическая часть должна позволять учащимся получать ответы на контрольные вопросы, помогать решать одновариантные и многовариантные тесты, задачи и упражнения. Определяемые авторами концептуальные направления обучения математике в 1-м классе обеспечивают формирование фундамента вертикали математического образования в 11-х классах общеобразовательной школы. The teaching of mathematics should reflect the global trends in the development of mathematical and pedagogical scientific thoughts. The authors develop guidelines of studying mathematics in the 1st grade on the basis of the Federal State Educational Standard, taking into account the partitions into knowledge elements. Thus, the structure and the formation of the being developed textbook content by chapters are described. The theoretical part should allow to students to get answers to control questions, univariate and multivariate tests, problems and exercises. Each chapter of the being developed textbook is divided into paragraphs, each paragraph is divided into items. One item of theoretical material contains either one new idea to study, or a set of interrelated concepts that define one new idea to study. According to this it is possible to form the mathematical knowledge trajectories. So, there are broad opportunities to transform knowledge elements into multimedia forms, including presentations, videos, test modules and other newly emerging means of representation and visualization, using the achievements of artificial intelligence. There can be defined such main directions as natural numbers counting, acquaintance with geometric shapes, comparison of objects in the value and quantity, acquaintance with a squared paper and measurement standards, the study of objects position, the sets consideration, introduction to the algorithm concept. The conceptual directions of teaching mathematics in the 1st grade determined by the authors provide the foundation for the vertical of mathematical education in the 1–11th grades of general education schools.

scholarly journals THE CONCEPT OF TEACHING MATHEMATICS IN THE 1ST GRADE OF A GENERAL EDUCATION SCHOOL

2021 ◽  
pp. 88-100
Author(s):  
Aleksandr Aleksandrovich Nikitin ◽  
Olga Aleksandrovna Nikitina
Keyword(s):  
General Education ◽  
Federal State ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Multivariate Tests ◽  
Global Trends ◽  
Educational Standard ◽  
Screening Questions ◽  
Teaching Of Mathematics ◽  
State Educational

The teaching of mathematics should reflect the global trends in the development of mathematical and pedagogical scientific thought. The authors develop guidelines for studying mathematics in the 1st grade based on the Federal State Educational Standard. Thus, the structure and the form of the textbook content are described by chapter. The theoretical part should allow students to complete screening questions, univariate and multivariate tests, problems, and exercises. Each chapter of the developed textbook is divided into paragraphs, and each paragraph is divided into items. One item of theoretical material contains either a new idea to study or a set of interrelated concepts that define a new idea. According to this, it is possible to form mathematical knowledge trajectories. So, there are broad opportunities to transform knowledge elements into multimedia forms, including presentations, videos, test modules, and other newly emerging means of representation and visualization, using the achievements of artificial intelligence. It is possible to define main themes such as natural numbers counting, acquaintance with geometric shapes, comparison of objects in the value and quantity, acquaintance with a squared paper and measurement standards, the study of objects position, the sets consideration, introduction to the algorithm concept can. The authors’ conceptual directions of teaching mathematics in the 1st grade provide the foundation for mathematical education in general education schools for all the years of study.

scholarly journals FORMATION OF VALUE ORIENTATIONS IN THE PROCESS OF TEACHING MATHEMATICS

2020 ◽  
pp. 213-218
Author(s):  
Hamlet MIKAELIAN ◽  
Keyword(s):  
General Education ◽  
Real Life ◽  
Value Orientation ◽  
Value Orientations ◽  
Point Of View ◽  
Formal Structure ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Value System

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.

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