Educación preescolar

Subject/module code:

EMTSHM204

Academic year

2024 -2025

Semester

2

ECTS - Credits

5

Subject/module type

mandatory

Language of instruction

Uzbek

Weekly class hours

5

1.

Name of science

Auditory training (hours)

Independent study (hours)

Total load

(hour)

Methodology for the formation of elementary mathematical representations

60

90

150

2 .

Science content

The goal of teaching science is to develop in future specialists the skills to apply in practice the science of forming elementary mathematical ideas in children and its subject, object of research, research methods, laws and principles in the system of general and special disciplines in preschool education.

The task of the subject is to create a solid theoretical basis for the formation of elementary mathematical concepts in children for the future professional activities of future specialists, to use information (including the INTERNET system), to use modern technologies in teaching a specialized subject, to involve them in scientific research on this subject, to prepare them for pedagogical activity, and to reveal the humanitarian significance of the pedagogical profession.

II. Main theoretical part (lectures)

II.1. The subject includes the following lecture topics:

Topic 1: Theoretical foundations of the mathematical development of preschool children.

The importance of mathematical education in implementing the requirements of the Concept for the Development of Preschool Education until 2030. The subject of the science of forming mathematical ideas in children and its main components. A general description of the content and methods of teaching children mathematics.

Topic 2 : Methodological, psychophysiological and psychological-pedagogical foundations of mathematical development of preschool children.

of teaching the science of forming mathematical ideas in children . The tasks set for teaching the science of forming mathematical ideas in children. The history of the formation of the science of forming mathematical ideas in children. The current state of the science of forming mathematical ideas in children. The modernity of the science of forming mathematical ideas in children.

Topic 3 : The development of arithmetic in the works of Eastern mathematicians.

Initial information about the development of arithmetic in the works of Muhammad ibn Musa al-Khwarizmi. Initial information about the development of arithmetic in the works of Mirzo Ulugbek. Initial information about the development of arithmetic in the works of Jamshid Ghiyosiddin al-Koshi.

Topic 4 : Development of the foundations of the methodology for the formation of elementary mathematical concepts in MTT in Uzbekistan

Development of the foundations of the methodology for the formation of elementary mathematical concepts in the MTC in Uzbekistan. Development of the foundations of the methodology for forming elementary mathematical ideas. Activities of Niyazi Tashmuhammad Niyazovich . Results of mathematical works of VI Romanovsky.

Topic 5 : Basic didactic principles of education in the formation of mathematical ideas in children

The essence of the basic didactic principles of education in the formation of mathematical representations in preschool children . The interrelationship of the basic didactic principles of education in the formation of mathematical representations. Description of the basic didactic principles of education in the formation of mathematical representations. Basic methods of education in the formation of mathematical representations.

Topic 6: Quantity, the concept of quantity. Developing quantitative ideas in preschool children.

Quantity, concept of quantity. Forms and methods of forming the concept of quantity in preschool children. Development of quantitative imagination in preschool children.

Topic 7: Concepts of number and counting. Stages of development of counting activity.

Number as one of the basic concepts of mathematics . The history of the emergence and development of the concept of number. Structural classification of the concept of number. Origin of the concept of positive whole (natural) numbers , infinite natural number sequences.

Topic 8: Formation of the system of natural number sequences in the minds of preschool children.

Natural numbers - as the basis for counting, numbering, and listing objects. The set of natural numbers has a number of properties. Axioms of the paths of natural number theory

 Topic 9: Understanding measurement. Preschool aged children to conditional measurements​ To teach . To form children's ideas about measuring different sizes.

Measurement - as a concept used in various types of human activity. A specific classification of measuring instruments. Information about measuring instruments.

Topic 10: Shape and its main properties. Methodology for introducing children of different age groups to shapes and the shape of objects.

Shape and its main properties. The main types of two-dimensional geometric shapes Three-dimensional geometric shapes. Types and content of geometric shapes. A methodology for introducing children of different age groups to the shape of shapes and objects.

Topic 11: Methods for promoting concepts of size and size to children of different age groups.

The concept of magnitude and types of magnitude . Basic definitions and concepts about measuring magnitude . Information about units of magnitude . A methodology for promoting concepts of greatness to children of different age groups .

Topic 12: The concept of time and its main components.

Time and its specific properties. Perception of time by preschool children. Development of children's ideas about time. Development of timekeeping in older preschool children. Introduction to the calendar, clock. Organization of educational games aimed at developing children's ideas about time.

Topic 13: Methodology for forming time concepts in preschool children .

Methodology for the formation of time concepts in children of the younger group. Components for the development of time concepts in children of the middle group. Methodology for the formation of time concepts in children of the older group. On the understanding and management of time in children of the preparatory group

Topic 14: Space and spatial concepts. Scientific analysis of spatial concepts.

Concept of space. Analysis of spatial orientation in children. Specific features of spatial perception in each age group. Recommendations for orientation in relation to the environment.

Topic 15: Methodology for developing spatial imagination in preschool children .

Methodology for forming spatial ideas of children in the younger group. Components for developing spatial ideas of children in the middle group. Methodology for forming spatial ideas of children in the older group. About the ability of children in the preparatory group to learn and manage to navigate in space.

III. Practical training instructions and recommendations

Topic 1: Theoretical foundations of the mathematical development of preschool children.

Topic 2: The development of arithmetic in the works of Muhammad ibn Musa al-Khwarizmi , Nasriddin Tusi, and Jamshid Ghiyasiddin al-Kashi

Topic 3: Historical development of issues of improving elementary mathematical literacy of children in Uzbekistan

Topic 4: Modern trends in improving children's elementary mathematical literacy in Uzbekistan

Topic 5: Modern methods of teaching mathematics to preschool children

Topic 6: Foreign experiences in teaching mathematics to preschool children

Topic 7: Developing quantitative imagination in preschool children .

Topic 8: To form children's ideas about measuring different sizes .

Topic 9: Teaching preschool children conditional measurements .​                                  

Topic 10: A methodology for introducing children of different age groups to the shapes of things and objects.

Topic 11: Methodology for the formation of time concepts in preschool children .

Topic 12: Methodology for the formation of spatial imagination in preschool children

Topic 13: Analysis of scientific literature on the methodology of teaching elementary mathematics to preschool children.

Topic 14: Creation and implementation of training developments on the methodology of forming elementary mathematical ideas in children.

Topic 15: Creation and implementation of training developments on the methodology of forming elementary mathematical ideas in children.

It is important for students to use advanced and modern teaching methods and implement new information and pedagogical technologies in practical classes on the topic “Methodology of Formation of Elementary Mathematical Representations”. Textbooks, educational and methodological manuals, handouts, and electronic materials are used in mastering the subject. Advanced pedagogical technologies are selected in accordance with the topics of lectures, practical and seminar classes. Pedagogical technologies such as “Networks”, “Brainstorming”, “Boomerang”, “Scale”, “Cluster”, “Venn Rings” are used in teaching the subject. The uniqueness of each topic is taken into account. Audio, video, and computer equipment are also used.

V. Independent learning and independent work

The goals and objectives of independent learning are to develop students' independent learning skills.

1. Information about the development of arithmetic in the works of Muhammad ibn Musa al-Khwarizmi, Nasriddin Tusi, Jamshid Ghiyasiddin al-Koshi, and Ulugbek.
2. The concept of a set. To teach how to compare and differentiate sets.
3. The concept of counting comes from the history of the emergence of the concepts of natural numbers and zero.
4. Natural numbers, natural number sequences. Formation of the natural number sequence system in children's minds.
5. Methods for teaching children to count quantities and order
6. To form children's ideas about measuring various sizes using conditional measurements.
7. Tasks to familiarize children with the size of objects.    
8. Shape, specific features of the shape.
9. Teach them to distinguish and name geometric shapes.  
10. Exercises for children of different ages        to analyze the shape of objects and their parts to do
11. Space, the concept of space, and spatial concepts.
12. In space The task of forming a target is to teach the child to distinguish between the main directions in relation to himself in a state of rest and movement .
13. Educational games to develop spatial awareness.
14. Time, the concept of time and the main signs of time.
15. children       to estimate time .
16. children to distinguish between parts of the day and determine their order .
17. spatial         imagination . Didactic games for finding a target in space.
18. Planning activities to develop elementary mathematical concepts
19. Designing activities to develop elementary mathematical concepts.
20. Analysis of scientific literature on the methodology of teaching elementary mathematics to preschool children.

Independent learning

When preparing independent work, the student is recommended to use the following forms, taking into account the characteristics of the subject " Methodology of Formation of Elementary Mathematical Representations ":

• study science chapters and topics from textbooks;
• mastering the lecture part of the handouts;
• study module topics based on the use of regulatory documents, educational and scientific literature;
• mastering the lecture part of the handouts;
• work on module topics in special literature;

in-depth study of module topics related to the student's professional activities.

3 .

V. Results of science teaching (developed competencies)

      As a result of mastering the subject, the student will:

- After mastering the theory and technologies of mathematical representation formation - its content, forms and methods, the systematic organization of education of preschool children taking into account their age characteristics, and the use of modern educational methods;

-Knowledge and develop skills in basic mathematical concepts, forms and methods of formation, work in cooperation between a preschool educational institution and a school, and the specific features and content of the pedagogical process in different conditions in different educational institutions;

-Planning the educational process, analyzing and evaluating its results. Organizing daily educational and educational work based on the program, organizing pedagogical diagnostic work. Must have the skills to create conditions for children to acquire mathematical knowledge .

4.

• VI. Educational technologies and methods:
• lectures;
• interactive case studies;
• working in groups;
• making presentations;
• individual projects;
• projects to work and defend as a team.

5.

VII. Requirements for obtaining loans:

Fully master the theoretical and methodological concepts of the subject, be able to correctly reflect the results of the analysis, conduct independent observations of the processes being studied, and complete the tasks and assignments given in the forms of current and intermediate control, and submit a written work for final control.