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 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 ASSESSMENT OF THE EFFECTIVENESS OF THE IMPLEMENTATION OF THE COMPETENCE APPROACH IN TEACHING MATHEMATICS IN PRIMARY SCHOOL

2018 ◽  
Vol 6 (3) ◽  
pp. 7
Author(s):  
N. N. Demeneva ◽  
O. V. Kolesova
Keyword(s):  
General Education ◽  
Primary School ◽  
Diagnostic Technique ◽  
Mathematical Tasks ◽  
Federal State ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Educational Standard ◽  
State Educational ◽  
Conceptual Foundations

Introduction:the article deals with the problem of implementation of the competence approach in teaching mathematics in primary school. This approach is one of the conceptual foundations of the Federal state educational standard of primary General education. Competency-oriented tasks are included in the final work for the fourth grade to assess the achievement of the planned results, including the all-Russian verification work in mathematics. The aim of the study was to identify the effectiveness of the implementation of the competence approach in teaching mathematics in primary school based on the diagnosis of the level of formation of primary school graduates (pupils of 5 classes) the ability to solve competency-oriented mathematical tasks.Materials and methods: the diagnostic technique was used, including mathematical tasks that require the use of knowledge in life situations, the presence of real ideas about the values and geometric shapes, the ability to navigate in practical situations. The texts of competency-oriented tasks are given.Results:the data on the results of all groups of tasks and the level of formation of primary school graduates ability to solve competency-oriented mathematical tasks Revealed that the greatest difficulty is caused by tasks that require self-selection of mathematical concepts and actions for the analysis of the real situation, and tasks involving the ability to do the estimate of the result.Discussion and Conclusions:the study showed that there are problems in the implementation of the competence approach in teaching mathematics in primary. Students have significant difficulties in solving competency-oriented tasks. The analysis of typical errors in the performance of such mathematical tasks is performed. The recommendations for primary school teachers to strengthen the practical orientation of teaching mathematics to junior schoolchildren.

Development of Natural Science Literacy in Basic School Algebra Lessons Using Interdisciplinary Connections

2021 ◽  
pp. 25-30
Author(s):  
O. Ignatova
Keyword(s):  
High School Students ◽  
General Education ◽  
Natural Science ◽  
Science Literacy ◽  
Practical Significance ◽  
Federal State ◽  
Teaching Mathematics ◽  
School Students ◽  
Educational Standard ◽  
State Educational

The article deals with the issue of natural science literacy formation in teaching mathematics in middle school with the use of intersubject connections. Research methodology and techniques. The research is based on systemic-structural and activity approaches. Results. First of all, attention is paid to the consideration of the very concept of natural science literacy; the issue of assessing the level of development of students’ natural science literacy and means of its diagnostics in process of teaching mathematics, for example, at algebra lessons, is considered. Examples of specific tasks of interdisciplinary nature are given, which are used to determine the level of results achievement as a requirement of the Federal State Educational Standard of Basic General Education. Conditions for conducting integrated classes and their application as a means of developing natural science literacy of high school students at algebra lessons are considered. Issues of educational material synchronization of subject areas are considered as a key condition for implementation of intersubject connections between mathematics and physics. Practical significance of the work. The directions of changes in approaches to the implementation of intersubject connections of mathematics with other areas of knowledge as a basis for achieving metasubject educational results as a requirement of the Federal State Standard of Basic General Education are identified. Metasubject assignments that contribute to the achievement of metasubject and subject educational results at algebra and physics lessons have been identified. Particular attention is paid to giving integrated classes as a condition for development of natural science literacy of students, as well as a means of assessing the level of natural science literacy formation. In this regard, examples of tasks in physics are considered that require the use of mathematical literacy, which directly affects the ability to analyze the situation and draw conclusions within the framework of the natural-scientific picture of the world. The main recommendations for the implementation of interdisciplinary relationships to achieve metasubject educational results are formulated.

scholarly journals Inter-subject links within the content-methodical lines of Math school course

2019 ◽  
Vol 8 (3) ◽  
pp. 290-295
Author(s):  
Natalya Vasilievna Kononenko ◽  
Julia Sergeevna Tokareva ◽  
Pavel Aleksandrovich Chukhriy
Keyword(s):  
General Education ◽  
Linear Equations ◽  
Subject Area ◽  
Practical Significance ◽  
Federal State ◽  
Teaching Mathematics ◽  
Practical Application ◽  
The Subject ◽  
Teaching Of Mathematics ◽  
State Educational

This paper considers some ways of inter-subject links realization within the content-methodical lines of Math school course. The course of Math at school is permeated with inter-subject links, which are the foundation of the subject and through which a succession is implemented in teaching of Mathematics. The implementation of inter-subject links in teaching Mathematics requires a special organization of educational material and the process of its study and, therefore, acts as a didactic principle. In this paper, inter-subject links are revealed at two levels: the level of content and the level of methods for solving problems. The inter-subject links at the substantial level are learning numerical sequences and linear equations and inequalities, while at the level of methods - examples of transcendental equations. The implementation of inter-subject links at the content level takes place in conjunction with their implementation at the level of methods and has a wide practical application at Mathematics lessons. The conducted researches have shown that inter-subject links naturally extend on the subject area Mathematics and Computer Science according to the Federal state educational standards of the basic and secondary general education. The practical significance of the study is that its results can be used for teaching Mathematics at school.

scholarly journals The problem of preparing a teacher for the implementation of the continuity of education of students in primary and secondary schools

2020 ◽  
Vol 87 ◽  
pp. 00022
Author(s):  
A.K. Mendygalieva ◽  
N.V. Litvinenko ◽  
N.T. Nikolaeva
Keyword(s):  
Secondary Schools ◽  
General Education ◽  
Professional Competence ◽  
Federal State ◽  
Mathematical Education ◽  
Educational Standard ◽  
Global Innovation ◽  
The Individual ◽  
State Educational ◽  
Education Of Students

Russia’s integration into the global innovation sphere, characterized by the emergence of an information society, the transition to an economy based on knowledge, the value of human capital, has determined a new vector for the development of general education. It is faced with the strategic task of updating the content, teaching methods and achieving on this basis a new quality of education in the context of maintaining its fundamental nature and at the same time meeting the modern and innovative needs of society, the state and the individual. The solution to this problem is facilitated by the comprehension and implementation of new approaches to the continuity between primary and secondary schools, which ensure the recognition of their complementary, partner coexistence in the context of strategic lines of interconnection, coordination and complementarity of goals, updated content, organization and technologies of advanced education for the optimal formation of personal, meta-subject and subject results of students in the implementation of Federal State Educational Standard of Primary General Education and Federal State Educational Standard of Basic General Education. The article proposes one of the ways to solve this problem - to increase the professional competence of teachers of primary general education and teachers of mathematics of basic school in the field of implementing the continuity of mathematical education. The solution to the stated problem is impossible without special training of teachers of primary and secondary schools, which ensures the formation of readiness to implement the continuity of mathematical education of students in primary and secondary schools in the unity of motivational, technological and reflective components.

The Method of Using Practical Work in Mathematics Lessons

2018 ◽  
Vol 6 (4) ◽  
pp. 17-26
Author(s):  
Марина Васильева ◽  
Marina Vasileva ◽  
Елена Мардахаева ◽  
Elena Mardakhaeva
Keyword(s):  
General Education ◽  
Information Technologies ◽  
Cognitive Activity ◽  
Practical Work ◽  
Federal State ◽  
Main Stage ◽  
Mathematical Education ◽  
Educational Standard ◽  
State Educational ◽  
Dynamic Mathematics

The article deals with the implementation of the requirements of the Federal state educational standard of basic general education in the design of modern mathematics lesson. The construction of the modern lesson of mathematics is based on the basic key ideas of the concept of development of Russian mathematical education. As an example of the organization of cognitive activity at a lesson of mathematics practical work, including, with application of information technologies is considered. Several examples of practical work at diff erent stages of the lesson of mathematics in different classes at the main stage of general education are revealed. Use of programs of dynamic mathematics and elements of interactive interaction of the teacher and disciples allows to realize developing potential of the General education, to provide achievement to trained with various educational needs of necessary result that is the priority direction of modern education.

Didactics of primary education

2021 ◽  
Author(s):  
Anna Voroncova ◽  
Tat'yana Sutyagina ◽  
Oksana Pavlova ◽  
Elena Tihomirova ◽  
Anna Samohvalova ◽  
...  
Keyword(s):  
General Education ◽  
Primary Education ◽  
Bachelor's Degree ◽  
Educational Process ◽  
Learning Activity ◽  
Federal State ◽  
Technology Project ◽  
Project Method ◽  
Educational Standard ◽  
State Educational

The requirements of the federal state educational standard of primary general education to the content, technologies and methods of the educational process in primary grades are disclosed. Special attention is paid to the characteristics of the system-activity approach, the technologies of primary education (problem-based learning, developmental learning, activity technology, project method, blended learning, etc.) are highlighted. The methods of teaching all the main academic subjects are presented in detail and concretely. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying under bachelor's degree programs in the areas of training 44.03.01 "Pedagogical education" and 44.03.05 "Pedagogical education (with two training profiles)".

Scientific and Methodological Approaches to Creating a System of Pedagogical Diagnostics of the Level of Training and Development of Primary School Graduates

2021 ◽  
pp. 10-14
Author(s):  
Marina Kuznetsova ◽  
Natalya Vinogradova
Keyword(s):  
General Education ◽  
Training And Development ◽  
Federal State ◽  
Educational Standard ◽  
Initial Stage ◽  
Development Goals ◽  
Methodological Approaches ◽  
Level Of Training ◽  
The Individual ◽  
State Educational

The article discusses the problem of obtaining reliable information about the level of educational achievements of junior schoolchildren during their transition to the next stage of school education. The implementation of the development goals of students at the initial stage of schooling, set by the Federal State Educational Standard of Primary General Education, requires pedagogical diagnostics, which makes it possible to establish the cause of the difficulties that children have in the course of studying various subjects. This ensures the timely intervention of the teacher in the learning process to provide each younger student with pedagogical assistance and support, which makes it possible to eliminate the individual difficulties that arise in him.

Functional Literacy of a Primary Schoolchildren: Ways to Overcome Difficulties in Its Formation

2021 ◽  
pp. 3-6
Author(s):  
Natalya Vinogradova
Keyword(s):  
General Education ◽  
Learning Outcome ◽  
Educational Activity ◽  
Federal State ◽  
Functional Literacy ◽  
Educational Standard ◽  
Research Activities ◽  
Primary Schoolchildren ◽  
Student Subject ◽  
State Educational

The article discusses the problem of the formation of functional literacy of primary schoolchildren as the main learning outcome that meets the requirements of the Federal State Educational Standard of Primary General Education. The article reveals the characteristics of the concept of “functional literacy”, which includes two groups of achievements of a younger student - subject and metasubject. The reader gets acquainted with the widespread pedagogical “mistakes” of the teacher, as well as the difficulties that children face in the learning process. The main types of educational activity are determined, which to the greatest extent contribute to the formation of functional literacy of primary schoolchildren, which primarily include search and research activities.

scholarly journals THE NEW APPROACHES TO NATURAL SCIENCE EDUCATION IN THE 21ST CENTURY

2011 ◽  
Vol 8 (3) ◽  
pp. 4-5
Author(s):  
Liudmila Korozhneva
Keyword(s):  
Science Education ◽  
General Education ◽  
21St Century ◽  
Natural Science ◽  
Methodological Principle ◽  
Federal State ◽  
Systemic Activity ◽  
Educational Standard ◽  
State Educational ◽  
Natural Science Education

Beginning of the 21st century - the time of rapid changes. In 2009-2010 in Russian Education has been approved new federal state educational standards for elementary and general education. The basis of the Standard is a systemic-activity approach. The main need is to develop content and technology of education, determine the ways and means to achieve the level of personal and cognitive development of students. Systemic-activity approach as a methodological principle determines the need to study the content of any school subject as a system. Especially the great importance realization of systemic-activity approach gets into natural science education. Realization of systemic-activity approach, which provides a guaranteed achievement of planned results, is possible in applying various educational tech-nologies in science education. The scientific-methodical journal “Natural Science Education” invites the scientists and teachers to take part in discussion of problems of natural science education. Key words: educational standard, systemic-activity approach, content and technology of education, educational technologies.

Sign in / Sign up

Export Citation Format

Share Document