The problems of mathematical education are not a presentation of the present stage. Presentation on the topic "The concept of the development of Russian mathematical education

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The concept of development of mathematical education in the Russian Federation Breitigam E.K. , doctor ped. sciences, professor AltGPA, sept. 2014

Decree of the President of the Russian Federation of May 7, 2012 National pride, an element of the national idea National brand The basis of past and future achievements Government - December 2013 Concept, system of events Roadmap Federal, regional projects

Three projects presented by MSU staff (on the MSU website); project submitted by the team Alexei Lvovich Semenov based on the work of the Working Group (Site http://math.ru/conc/); the project presented by Stanislav Konstantinovich Smirnov, Russian mathematician, winner of the Fields Prize (2010), is a member of the Public Council under the Ministry of Education and Science.

General characteristics They are consistent with the State Program of the Russian Federation "Development of Education" for 2013-2020, adopted in October 2012 and the Law of the Russian Federation "On Education", adopted in December 2012. 2. All concepts do not imply a radical breakdown of the system, and are aimed at maintaining continuity with the current system, its improvement in terms of modernization, access to advanced international positions; development of continuous mathematical education and the development of objective criteria for assessing the quality of mathematical training of schoolchildren, students and teachers of mathematics.

The main developers The concept of the working group led by Alexei Lvovich Semyonov (born October 13, 1950, Moscow - Russian mathematician, methodologist and teacher of mathematics. Academician of the Russian Academy of Sciences (2011), full member of the Russian Academy of Education, Doctor of Physical and Mathematical Sciences; since 1993 - Rector of the Moscow Institute open education, since 2013 - rector of the Moscow State Pedagogical University) - coordinator of the working group. The group was created under the Ministry of Education and Science of the Russian Federation, 16 people, participates and supervises A.A. Fursenko.

From the report of A.L. Semyonov November 28, 2013. Why math? Mathematical activities are the most important in the 21st century: Fundamental mathematics IT (programming,…) Mathematics applications Key role in most industries The importance of mathematical literacy and logic of reasoning for all The effectiveness of investment in infrastructure National tradition and existing level

The main sections of the Concept I. The value of mathematics in the modern world and in Russia II. Problems of the development of mathematical education - motivation - content (selection of content is outdated) - frames III. Goals and objectives of the Concept IV . The main directions for the implementation of the Concept of A.L. Semenov said that the unifying concept of the Concept is "mathematical activity".

Tasks for the development of mathematical education in the Russian Federation Modernization of the content of curricula for mathematical education at all levels (with ensuring their continuity) based on the needs of students and the needs of society in general mathematical literacy, in specialists of various profiles and levels of mathematical training, in high achievements of science and practice; ensuring that there are no gaps in basic knowledge for each student, forming among the participants of educational relations the attitude “there are no children incapable of mathematics”, ensuring confidence in an honest and adequate state final certification for the tasks of education, providing teachers with diagnostic tools (including automated ones) and overcoming individual difficulties ;

Tasks for the development of mathematical education in the Russian Federation (continued) ensuring the availability of publicly available information resources necessary for the implementation of curricula for mathematical education, including in electronic format, tools for the activities of students and teachers, the use of modern technologies in the educational process; improving the quality of work of mathematics teachers (from pedagogical workers of general educational organizations to scientific and pedagogical workers of educational institutions of higher education), strengthening the mechanisms for their material and social support, providing them with the opportunity to refer to the best examples of Russian and world mathematical education, the achievements of pedagogical science and modern educational technologies , creation and implementation of their own pedagogical approaches and copyright programs;

Tasks for the development of mathematics education in the Russian Federation (continued) support for leaders in mathematics education (organizations and individual teachers and scientists, as well as structures formed around leaders), identifying new active leaders; providing students with high motivation and showing outstanding mathematical abilities with all the conditions for the development and application of these abilities; popularization of mathematical knowledge and mathematical education.

Levels of education – Pre-school and primary general education Pre-school Creation of environments and situations Not “ready for school”, but recording the level achieved, diagnosing difficulties No children incapable of mathematics

Levels of education - Preschool and primary general education Primary education Expansion: Logic Algorithms of the Game Basic objects Visualization Design (projects are managed by tutors, not teachers - Sedova E.A.) GEF

Levels of education - Preschool and primary general education Primary education: From the requirements for subject results in mathematics, mastering the basics of logical and algorithmic thinking, spatial imagination and mathematical speech, measurement, recalculation, estimation and evaluation, visual representation of data and processes, recording and execution of algorithms Individualization Automated diagnostics (Example - Matreshka)

Levels of education - Basic general and secondary general education "In basic general and secondary general education, it is necessary to provide for the preparation of students in accordance with their requests for the level of training in the field of mathematical education." Basic general Work with the lagging behind (tutors) Identification and support of highly motivated Continuation of the content of the elementary school Final certification

Levels of education - Basic general and secondary general education Secondary general education Three levels Literacy (in grades 10-11 they complete the basic school program)

Levels of education - Vocational education (from the report) Pedagogical Mathematical Technical, economic, etc. Pedagogical education The best teachers go to school The activity basis of the educational process Solving problems of elementary mathematics Work at school (+ junior students) as the starting point of psychological and pedagogical training What about the rest? Pedagogical education is universal and not all graduates of pedagogical universities have to go to school!

Continuation of education (from the report) Creation of scientific and educational centers; Internships for teachers A positive requirement is that working teachers are admitted to the Master's and PhD programs in Mathematics Education first of all. Such a requirement existed in the 70-80s of the last century. The system of additional professional education for working teachers requires retraining of their own teachers, primarily in the field of ICT, distance learning technologies. It is necessary to ensure that teachers can choose additional professional education programs among a wide range, including territorial ones, and remove budget barriers. Especially the problem of postgraduate professional training becomes relevant in connection with the transition to a two-level system of higher education, in which graduates of a pedagogical bachelor's degree in the direction, for example, "Mathematics and Informatics", will come to work at the school.

The concept of Moscow State University Proposed: “Revise the Federal State Educational Standards of higher education for mathematical areas and specialties: establish the necessary minimum knowledge, skills and abilities separately for each mathematical discipline; establish the required minimum of classroom lessons in the disciplines of the professional cycle with full-time education in the amount of at least 50 percent of the total number of hours. This point is included in the main version. They consider it necessary: ​​“To develop and approve federal state requirements for additional professional education for the programs “Teacher of Mathematics”, “Teacher of Mathematics”

The concept of Moscow State University To revise the standards of the teaching load of teachers and teachers of mathematics in the direction of reduction, to include hours for checking homework in the workload. Revise the standards for the number of positions for teachers in mathematics departments in relation to the number of students. The number of stakes should not depend on the number of "remaining" students. - This proposal is also important in terms of improving the quality of training of future teachers of mathematics and will somehow solve the problem of assessing universities by the Ministry to preserve the contingent of students. Now, due to the fact that in the natural science areas of training students it is not possible to avoid the dropout of students, universities are on the path of reducing the number of students in the mathematical, physical and information direction. As a result, in the regions there is an acute problem of a shortage of mathematics teachers in schools, and a teacher training university is reducing enrollment in the Faculty of Physics and Mathematics Education.

Moscow State University project To create free and accessible to all centers of distance mathematical education at large universities for secondary school programs, programs of various natural sciences and engineering and technical areas of education, provide for federal funding for these centers. Semester training for university teachers To create conditions for the broad inclusion of universities in school education: organization of joint projects; participation in the assessment of schoolchildren's knowledge (exams, USE); involvement in teaching in specialized classes and schools.

From the project of Smirnov S.K. 1. Significant factors in effective mathematical education are the quality training of teachers and teachers of mathematics for all levels, as well as the prestige and social security of the teaching profession. 2. International integration 3 · Creation of state certification of levels of school mathematical training. Achievement of the basic level is controlled mainly at the end of the basic school. Achievement of advanced and high levels - upon completion of complete secondary school. 4. Increasing the prestige of the profession of a teacher of mathematics 5. Mathematical education of the population and indicators of the effectiveness of mathematics. education and educational achievements of different groups of students and the population

Elena Alexandrovna Sedova - Head. Department of Natural Science and Mathematics Education of FGNU ISMO RAO The formation of the fundamental core of mathematical education has not been completed and the desire for fundamentalization of mathematical education; Return to the humanistic paradigm: individual educational trajectory and activity orientation (activity in the zone of proximal development); The problem of the formation of a new methodological system of teaching mathematics as one of the components of the new methodological system of education.

The Government of the Russian Federation approved the Concept for the Development of Mathematical Education in the Russian Federation by a special order dated December 24, 2013 No. 2506-r

The action plan consists of sections General system activities General education Vocational education, including additional education, training of scientific and pedagogical workers of educational institutions of higher education and scientific workers of scientific organizations, mathematical science Mathematical education and popularization of mathematics, additional education Monitoring and control of the implementation of the Concept

System-wide activities Development of methodological recommendations for the preparation of curricula and programs, new teaching materials, holding olympiads and competitive events for scientists, teachers and teachers of mathematics, support for talented mathematicians through grants, support for non-standard organizations that have received results; support for professional associations, holding all-Russian events.

General education Improving the state certification system, KIMs, an open bank of video lectures, developing ICT, creating a nationwide Internet school (at least three) for students in grades 5-11 in mathematics Developing guidelines for working with lagging behind Supporting the participation of schoolchildren and students in international assessment systems quality of education

Professional education, including additional education, training of scientific and pedagogical workers of educational institutions of higher education and scientists of scientific organizations, mathematical science Development of the DL system Support for programs for the development of mathematical faculties of universities Attraction of foreign teachers and researchers. Development of academic mobility of teachers and students Creation of at least 6 world-class scientific and educational centers in the field of mathematics Access to international information and educational resources Development of models of additional mathematical education, advanced training

Mathematical education and popularization of mathematics, additional education Support for interactive museums of Russian mathematicians Support for mathematical Internet portals, television programs aimed at popularizing mathematics Organization of the development of mathematical educational games and stimulating games on a competitive basis Organization of the development of a calendar of significant dates in the field of mathematics

I. The Importance of Mathematics in the Modern World Everyone needs a high-quality mathematical education for his successful life in modern society. Without a high level of mathematical education, it is impossible to fulfill the task of creating an innovative economy, realizing long-term goals and objectives of the socio-economic development of the Russian Federation. Raising the level of mathematical education will make the life of Russians in modern society more fulfilling, and will provide the need for qualified specialists for science-intensive and high-tech production.

II. Problems of the development of mathematical education 1. Problems of a motivational nature: - low educational motivation of schoolchildren associated with the public underestimation of the importance of mathematical education; - outdated content and the lack of curricula that meet the needs of students and the actual level of their training. 2. Content problems: - the content of mathematical education continues to become obsolete and remains formal and out of touch with life; - the needs of future specialists in mathematical knowledge are not sufficiently taken into account; - substitution of training by "training" for an exam.

II. Problems of the development of mathematical education 3. Personnel problems - Graduates of educational institutions of higher education of a pedagogical orientation for the most part do not meet the qualification requirements, professional standards, have little experience in teaching and experience in the application of pedagogical knowledge.

III. Goals and objectives of the Concept Objectives: -modernization of the content of curricula for mathematical education at all levels (with ensuring their continuity); - ensuring that there are no gaps in basic knowledge for each student; - ensuring the availability of publicly available information resources necessary for the implementation of curricula of mathematical education; -improving the quality of work of mathematics teachers; -support of leaders of mathematical education; - providing students with high motivation and showing outstanding mathematical abilities with all the conditions for the development and application of these abilities; - popularization of mathematical knowledge and mathematical education.

IV. The main directions for the implementation of the Concept 1. Pre-school and primary general education: The system of curricula for mathematical education with the participation of the family should provide: in primary education - a wide range of mathematical employment of students in the classroom and in extracurricular activities, material, informational and personnel conditions for the development of students by means of mathematics

IV. The main directions for the implementation of the Concept 2. Basic general and secondary general education Mathematics education should: - provide each student with the opportunity to achieve the level of mathematical knowledge necessary for further successful life in society; - provide each student with developing intellectual activity at an accessible level; -provide the number of graduates necessary for the country, whose mathematical support is sufficient to continue their education in various directions and for practical activities, including the teaching of mathematics.

IV. The main directions for the implementation of the Concept 2. Basic general and secondary general education It is necessary to provide each student with the opportunity to achieve compliance with any level of training, taking into account his individual needs and abilities areas of mathematics. It is necessary to stimulate an individual approach and individual forms of work with lagging students, primarily involving teachers with extensive experience.

IV. The main directions for the implementation of the Concept 5. Mathematical education and popularization of mathematics, additional education For mathematical education and popularization of mathematics, it is envisaged: -Providing state support for the availability of mathematics for all age groups of the population; - creation of a public atmosphere of a positive attitude towards the achievements of mathematical science and work in this area; -Providing continuous support and improving the level of mathematical knowledge. The system of additional education: mathematical circles, competitions, receiving mathematical education in a distance form, interactive museums of mathematics, mathematical projects on Internet portals, professional mathematical Internet communities.

THE CONCEPT OF THE DEVELOPMENT OF MATHEMATICAL EDUCATION IN THE RUSSIAN FEDERATION

Approved

government order

Russian Federation

Problems of development of mathematical education:

• Low motivation of schoolchildren and students, which is associated with

• underestimation of mathematical education
• congestion of programs with technical elements
• outdated content;

3. Personnel. In Russia, there are not enough teachers and university professors who could teach mathematics in a quality manner.

Purpose of the Concept

bring Russian mathematical education to a leading position in the world.

Mathematics in Russia should become an advanced and attractive field of knowledge and activity, the acquisition of mathematical knowledge should be a conscious and internally motivated process.

• preserve the merits of the Soviet system of mathematical education and "overcome serious shortcomings";
• ensure that there are no gaps in basic knowledge for each student using modern technologies of the educational process;
• to modernize the content of training programs, based on the needs for specialists in various fields;
• improve the quality of work of mathematics teachers (from school to university);
• to strengthen material and social support for mathematics teachers;
• to form the attitude among students and teachers: “there are no children incapable of mathematics”;
• stimulate individual forms of work with lagging students, involving teachers with extensive experience, etc.

Main directions of implementation of the Concept

• Preschool and Primary General Education

• in preschool education - the development by pupils of forms of activity, primary mathematical concepts and images used in life;
• in primary general education - ensuring the mathematical activity of students both in the classroom and in extracurricular activities (primarily solving logical and arithmetic problems, building algorithms in a visual and gaming environment).

2. Basic general and secondary general education

• provide each student with the opportunity to achieve the level of mathematical knowledge necessary for further successful life in society;
• to provide each student with developing intellectual activity at an accessible level, using the beauty and fascination inherent in mathematics;
• to ensure the number of graduates necessary for the country, whose mathematical training is sufficient for continuing education in various directions and for practical activities.

In basic general and secondary general education, it is necessary to provide for the preparation of students in accordance with their needs for the level of training in the field of mathematical education.

It is necessary to stimulate an individual approach and individual forms of work with lagging students, primarily involving teachers with extensive experience.

As a result of the implementation of the concept, levels of mathematical education will be introduced:

• the first level - for a successful life in modern society;
• the second level - for the professional use of mathematics in further studies and professional activities;
• the third level is for further preparation for creative work in mathematics and related scientific fields.

3. Professional education

should provide the necessary level of mathematical training of personnel for the needs of mathematical science, economics, scientific and technological progress, security and medicine.

4. Additional professional education

training of scientific and pedagogical workers of educational institutions of higher education and scientists.

Implementation of the Concept

• The implementation of this Concept will provide a new level of mathematical education, which will improve the teaching of other subjects and accelerate the development of not only mathematics, but also other sciences and technologies.
• The implementation of this Concept will contribute to the development and testing of mechanisms for the development of education applicable in other areas.

Action Plan for the Implementation of the Concept for the Development of Mathematical Education in the Bogucharsky Municipal District in 2016.

Name of the event

Workshop for Mathematics Teachers

We assume. duration of the event

Location

May 2016

Meeting of the RMO of teachers of mathematics on the topic: "Implementation of the Concept for the Development of Mathematical Education in the Russian Federation: Everyone Needs Mathematics"

Analysis of the quality of teacher's mathematical education

MKOU "Bogucharskaya secondary school No. 1"

June 2016

Development of an OU plan to improve the quality of mathematical education of students

MKOU "Bogucharskaya secondary school No. 1"

July 2016

MKU "Department for Education and Youth Policy"

RMO meeting:

a) "Problems of mathematical education in the light of the results of the Unified State Exam, OGE"

b) "Examination of work programs in mathematics"

August 2016

educational institution

August 2016

MKOU "Bogucharskaya secondary school No. 1"

Key ideas of the concept of mathematical education Mathematics is an important element of national culture, national idea, a subject of our pride and a competitive advantage of Russia. The most important concepts developed in mathematics, mastered by a person in his education: definitions, statements, proofs, algorithms, measurements and models today are universal, general cultural, significant and applied far beyond mathematics. In modern society, every citizen must have the necessary mathematical competence, the formation of which is the task of education, starting from an early, preschool age. Information, digital civilization, knowledge-based economy require new types and levels of mathematical literacy, culture and competence from professionals. In particular, the creation of ICT tools and tools is primarily a mathematical activity.

Key Ideas of the Concept of Mathematical Education Mathematics mastering should take place, first of all, in the process of solving substantive problems on the basis of precisely formulated rules. Mathematical activity is a key element of the entire system of mathematical education. The use of modern technologies and tools of activity, interaction environments is becoming a key factor in the effectiveness and efficiency of education. The various segments of mathematics education are important and mutually necessary. Among them: improvement in the course of cooperation of world mathematical leaders; mastering fundamental mathematics by students of applied mathematics, information technology, future engineers, professionals in economics and management; creation of environments and situations of mathematical discovery and interaction for preschoolers, training of their educators and parents.

Key Ideas of the Concept of Mathematical Education It is necessary to create conditions in leading universities and research centers to attract Russian and world leaders to mathematical research and training in Russia. It is also necessary to create conditions for the emergence of new promising organizations. Leaders should receive special support and freedom of professional activity: among schools of professional mathematics and among general educational institutions, as well as individual outstanding teachers. Measures are needed to increase the average and minimum level of mastering mathematics at each level of general education. The professional and social activity of mathematicians, mathematics teachers, their awareness and realization of their social mission and responsibility are necessary for the development of mathematical education.

Key ideas of the concept of mathematical education A number of problems of mathematical education cannot be solved within it, it is connected with a wider range of issues; creation, discussion and implementation of the Concept can help identify these issues, formulate and, possibly, move forward in their solution. The problem of the quality of mathematics teachers should receive a systematic solution, including: orientation and selection of schoolchildren, activity training, students, including those inclined to pedagogical work from non-pedagogical universities, certification of teachers according to the increment they achieve in the mathematical competence of students, offering alternative activities to teachers with low results attestations