Gifted Students Support Program

Students of ArkSPI

Ергазина Фариза
Yergazin Fariz
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Жаденов Оралхан
Zhadenov Oralkhan
The main priority of ArkSPI - Quality
Хасимова Ұлжихан
Hasimova Ұlzhihan
ArkGPI - is modern University

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Gifted Students Support Program

Eexplanatory note

    Working with gifted students in general, it is the opening of the special groups for the gifted in the competition at different levels, and so on. 

   The main task of the teacher - a discovery and development characteristics of students cognitive abilities: sensation, perception, memory, ideas, imagination, thinking, attention.
In the construction techniques of the physical abilities of students in the learning process physics at the university must be based on the idea of a differentiated and developing training.
For the construction techniques are necessary:
1. Diagnosis of gifted students in the system of general diagnosis (range of activities: the different types of testing, introspection, observation of parents and teachers).
2. Software for gifted students in the overall software system (differentiation).
3. Gifted Students Teaching methods (problem, search, research, and so on. D.).
4. The ability to modify the program to conduct training in accordance with the results of the diagnostic study, parental counseling.
When working with gifted students is proposed that the questions included in the content of physical education in recent decades: logic, probability theory, combinatory, etc...
Work may be performed in a variety of shapes and forms. Conditionally can distinguish three main types of work.
1. Individual work - work with the student to guide the extracurricular reading for physics, preparation of reports, essays, preparing some students for Olympiads, conferences, etc...
2. Group work - systematic work carried out with sufficient permanent staff of students.
3. Mass work - episodic work carried out with a large team of students. To apply this type of evening, the conference week physics, competitions, conferences, contests, competitions and so on. N. There are special courses and elective courses as a variety of electives.
In practice, these types of work are closely linked with each other.
Today the most common forms of work with gifted students They are the clubs, competitions and so on. d.
One of the forms of employment are:
- Competition for the best solution of the problem in Physics with Mathematics;
- Competition for the best solution to the theoretical problem of the physical means of physics;
- Competition for the best solution to a non-standard (combined) tasks related subjects school course, such as physics - chemistry. The core group will have features and other forms of work.
Work with gifted students
At the heart of work with gifted students is the principle voluntariness. It can be organized as a for showing some signs of giftedness, and for everyone.
One of the first lessons should tell students about what they will do, what's new and interesting things they learn, what is the use lessons, they will be held to reveal who wish to engage in. And must specify the basic requirements, which should be subject to further students involved.
There are two approaches to the organization of work with young people, carried about physics.
The first approach It applies in the case when the group is numerous and divided into sections. They can be as follows:
- Teaching and research (students do research, prepare yourself for writing essays);
- Design (production of visual aids, models, instruments for physics classroom, electronic presentations and projects);
- Decoration (preparation and production physical newspapers, different design in preparation for the Olympics, parties and other activities);
- Lovers of solving problems (problem solving, competitions, contests, etc...).
The second approach applicable for a small number of students. In this case, it is impossible to organize the section, and the interests of all students varied. Therefore, it is necessary to conduct classes in various forms.
The main forms of employment in this approach.
I. Combined thematic activity.
An exemplary structure of this class may be the following:
1. Presentation of the teacher in the chosen subject for 10 - 20 minutes.
2. The main part - the independent decision of problems on a particular topic group members, and among these tasks must be of high complexity tasks. The number of goals: 3-5 (depending on the topic and duration of sessions). After the decision of the first tasks of all or the majority of students is one of the students makes its analysis for all members of the group. The teacher in the course of solving problems draw conclusions, make generalizations.
3. The decision of entertaining nature of the tasks.
4. The answers to students' questions, homework.
At the same time some of the most difficult problems, proposed solutions for self and home. Sometimes proreshivaet himself a teacher. Speech teacher, and the main part of the homework in the thematic session should occupy 70-80% of the time.
The remaining time is allocated to the tasks of entertaining character, oral exercises, etc. Also at this time it can be:
- Hear a small message (story) of the teacher or the student on some issues (the biography of prominent physicists, interesting facts from the history of physics, a message about a new interesting book on physics for students, a summary of some of the physical matter;
- The tasks given home.
The time and place of this part of the activity determines the teacher.
II. Competition for the physical problems, competitions and games.
Such a class is best done systematically, 4-6 thematic sessions, it will be the result of a kind of work for 1-2 months.
In this form of organization of all sessions is devoted to a competition, contest.
As an example, to hold such events as:
- Non-standard Olympic Games (fight, hockey, etc.),
- A physical fight,
- Verbal Olympiad.
III. Hearing abstracts, protection of electronic projects and presentations.
IV. Analysis of tasks of international and national competitions; error analysis.
V. Solution of problems on various topics (often in preparation for competitions, to repeat).
There may be other shapes, less widely spread in practice, for example:
- Tutorial given home. It so happened that the houses the students had trouble all or almost all. In this case, all the activity is devoted to analysis of domestic and solving similar problems.
- Manufacture of models for physics lessons.
- Reports on the physics of the conversation (usually a week of physics to the anniversaries of famous physicists).
- The student's message about the result that it has received about the problem that he himself and I decided to come up with. (These classes are, of course, is the plan).
- View movies, films, filmstrips on physics.
There may be other forms of organization of work with gifted students.
Preparing for the lesson
To prepare for the teacher it is necessary to conduct the following activities.
1. To study all the issues planned for this activity.
2. Solve all the selected task again.
3. To find out, that in selected materials the most interesting and most difficult.
4. Locate the problem to solve in class in difficulty (or difficulties). At the same time problems with large calculations to engage not to take. Emphasis is placed on an interesting ideachallenges.
5. Formulation of the problem is best printed on separate pieces of paper for each student. Sometimes it can be offered to students to reformulate the text of tasks, think of themselves.
6. In case of difficulty in studying in solving problems, it is necessary to provide for a simple task (preparatory).
7. To implement a differentiated approach to apply and task "doubles" (t. E. The task with the same idea, but different levels of difficulty).
8. Apply and tasks with errors; problems containing materials today.
9. Use pre-task for future studies (both in the class and at home).
10. Have always an interesting entertaining material in stock.
      For homework, the first time to offer no more than 2-3 tasks. If students will actively solve them, the number of tasks can be increased, otherwise - leave 2-3 and wherein the set does not always solve, and some of the challenges - offering optional.
It is desirable that all students participated in training sessions.
Basic guidelines for the preparation of a report by students
Example topics of reports for students of 1-2 courses:
• Out standing domestic physics.
• Mathematical and physical mistakes made by students in the exam.
• The value of physics to science and practice, and others.
1. To begin with the preparation of reports must be small appearances, for example:
• presentation of solutions of some problems;
• Message conditions for certain tasks;
• preparation of a brief reference about the scientist physics of the term;
  Only after this performance was well-prepared and interesting to students, it can be charged more serious task: to prepare a message or report.
2. Giving the job you need a month before to make a report.
3. Recommend literature student; provide guidance on the plan and the key moments performances. (Sometimes before the preparation of the report suggest the problem relating to the report and literature itself to a week.)
4. Determine the time for speeches. The student will write a report, will hear your message, recorded on tape.
5. Two weeks later to check what has been done to help.
6. For a week before the show to see the abstract, to listen to the report, check the visibility.
7. After the report, the teacher must be mentioned its advantages and disadvantages.
     Basic requirements to the report:
     • text of the report the student to better express their own words;
     • all the new terms should be clarified;
     • at the beginning of the report explain the importance of the topic, what it might be interesting to present;
     • identify basic concepts, the basic idea of the report;
     • reportduration: 15-20 minutes;
     • applyvisibility.
     To ensure that all students are aware of the group what they do guys, their work should be covered in a physical newspaper or other publication of high school, where it is desirable to put the work plan objectives for these activities. To achieve the goals set by the teacher to gifted students, it is necessary to:
• students in the classroom were accurate records;
• employment was recorded in the Journal of the material in question and achievements of students;
• materials considered in the classroom, have been the basis of various physical events;
• systematically repeat the material, including the review and in the previous year;
• the teacher in the classroom in the study program material every encouragement to the knowledge, skills and ideas that gifted students received extra lessons.
     Concluding session should start with the teacher talks about how the students worked during the school year (which looked at what they have learned, what skills are acquired that studied new). Complete annual work, as already noted, the Olympics (and can be custom) on the tasks addressed during the school year, or offset. After that say about the prospects of working with gifted learners in the coming year, to offer books to read during the summer.
Sample topics classes for students of 1-2 courses
1. The basic laws of dynamics of a material point.
2. Newton's first law. Inertial reference system.
3. Newton's Second Law. Weight. The concepts of force and mass inertia of gravity. Newton'sThirdLaw.
4. On the fundamental law of conservation of momentum. Jetpropulsion. Types of mechanical forces.
5. To give the basic concepts of law of elasticity, friction, inertial, centripetal, conservative, dissipative World the force of gravity, the force Karliolisa etc.
6. Inertial frame of reference. The principle of relativity in mechanics. GalileoPreobrozovanie.
7. The postulates of special relativity. Preobrozovanie Lorenz, of its consequences. Elements of relativistic dynamics. The equation of motion of particles relyativistichekih its Lorentz invariance preobrozovaniya. Therelationshipofweightandenegrii.
8. Theorem Gyugens-Steiner for the moment of inertia. The law of conservation of angular momentum. Zhukovsky chair. The kinetic energy of a rotating body and work. The concept of a free rotating axis. Gyroscope. Using the gyroscopic effect.
9. Forced and damped oscillations of differential equations, and graphics solutions.
10. Mechanical wave types - longitudinal, transverse, planar, spherical, etc., of the equation, the velocity of propagation.
11. Fundamentals of molecular-kinetic theory.
12. Thethermodynamicparameters.
13. Equilibriumstatesandprocesses
14. The image on the thermodynamic charts.
15. GasLaws.
16. The equation of state of an ideal gas.
17. Probabilityandfluctuations.
18. Maxwelldistribution.
19. The rates of the thermal motion of the particles.
20. Boltzmann distribution of particles in an external potential field.
21. Reversibleandirreversiblethermalprocesses
22. Equilibriumstates.
23. Carnot cycle and its efficiency.
24. Main characteristics of the spectral device
25. Thelawsofgeometricaloptics
26. Building an image on the lens
27. polarizationoflight
28. The composition, charge and mass number of the nucleus.
29. Bohr'spostulates
30. SpectraSerieshydrogenatomand
electivecourses
SolutionOlympiadproblemsinphysics
Methods for solving complex problems in physics
1. General Provisions
1.1. The program of support for gifted students in ArkSPI named after I.Altynsarin (hereinafter - the Regulations) establish the procedure, terms and amount of support students enrolled in Arkalyk State Pedagogical Institute im.I.Altynsarina.
It provides for the continued implementation of measures to create ArkSPI named after I.Altynsarin policy to support talented students, held in ArkSPI named after I.Altynsarin;
1.2. This Regulation is developed on the basis of the current legislation of the Republic of Kazakhstan, in accordance with Article 27 of the Law of the Republic of Kazakhstan "On local governance in the Republic of Kazakhstan", Article 47 of the Law of the Republic of Kazakhstan "On education", articles 4 and 11 of the Law of the Republic of Kazakhstan "On state youth policy in the Republic of Kazakhstan. "
1.3. The present Regulations apply to students enrolled in the first year of full-time training in ArkSPI named after I.Altynsarin, and is valid for the duration of their training.
1.4. This Regulation does not apply to students who were expelled for any reason, the first year of study.
This Regulation does not apply to students who have previously studied in other educational institutions of higher professional education.
1.5. The present The position is valid from 6 201 -201 7 school year.
2. The aims and objectives of support of gifted students studying inArkSPI named after I.Altynsarin
2.1. As part of the implementation of the program is supposed to target:
Its main objectives are to create an integrated system of identification, support and development of gifted students in ArkSPI named after I.Altynsarin.
2.2. As part of the Program is expected to solve the following tasks:
1. ensuring access to education for the sought-after areas of training, stimulating students' interest in learning and science, training of competent and competitive specialists for the economy of the Republic of Kazakhstan.
2. improving the quality of educational and training services in working with gifted students based on extensive use of modern scientific and educational achievements
3. development of material support and social protection of gifted students;
4. patriotic education of young students, formation of their legal and political culture, promotion of informed, responsible and active participation in social and political life of the university.
5. revival and sustainable development of students' interest in physics and its applications and the expansion and deepening of knowledge of students on the program material.
6. development of physical abilities and thinking in students.
7. broadening and deepening of the student submissions on the practical significance of physics in engineering, economics, and so on. d.
8. broadening and deepening students' ideas about the cultural - historical value of physics, the role of the leading scientists of physicists in the development of world science.
3. The main directions of the program
The main directions of the Program are
3.1. adoption of organizational and administrative decisions aimed at improving the work with gifted students;
3.2 The implementation of measures for a more effective inclusion of gifted students into the intellectual and creative activity;
4. Expected results of the Program
The Program will provide
4.1. creation of an effective system for identifying, developing and supporting gifted students in ArkSPI named after I.Altynsarin;
. 4.2 The increase in the social activity of young students;
. 4.3 The expansion of access to quality education and training for gifted students at the university;
4.4. broad participation of students in urban, regional, national and international creative competitions, festivals, competitions, sports competitions;
4.5. strengthening the material-technical base of institutions providing the work with gifted students.
5. The procedure and conditions of gifted students support measures
5.1. Students Awarding prizes and diplomas rector ArkSPI named after I.Altynsarin "The best project."
5.2. The expenses of the Olympiad participants .

Work schedule
on pedagogical support of gifted students
department of Mathematics and Physics ArkSPI named after I.Altynsarin
201 5 - 201 6 academic year

number

Мероприятия Events

Срок time

Responsible

LegalandInformationSupport

1 1

The development of gifted students support program

September 201 5

Head of Department, Head of Programme

22

Drawing gifted student support plan

September 201 5

Head of Department, Head of Programme

33

Placement of information about students' achievements on the site

During a year

programManager

Intelligentdirection

4 4

The organizational work of the creative team to develop a plan of action "Days of Science"

January, 2016

Head of Department, Head of Programme

55

Organization and carrying out of competitions, competitions within the university

February, 2016

programManager

6 6

The organization of training of students and their participation in competitions, contests, conferences, national level

During a year

programManager

Socialdirection

7 7

Organization of the participation of students in creative activities of the university

During a year

Head of Department, Head of Programme

zdorovesberegajushchejdirection

8 8

Organization of student participation sport kinds

During a year

Head of Department, Head of Programme

Work Plan
on pedagogical support of gifted students
Department of Mathematics and Physics ArkSPI named after I.Altynsarin
inthe 2016 - 2017 academicyear

number

Мероприятия Events

Срок time

Responsible

LegalandInformationSupport

1 1

The development of gifted students support program

September 2016

Head of Department, Head of Programme

22

Drawing gifted student support plan

September 2016

Head of Department, Head of Programme

33

Updating electronic database, "gifted student" on the basis of the results of creative, social and sports activities

During a year

programManager

4 4

Placement of information about students' achievements on the site

During a year

programManager

5 5

Organization of translation experience teachers with gifted students in scientific collections, media, conferences

During a year

Head of Department, Head of Programme

66

Updating library methodical editions for gifted students.

During a year

programManager

Intelligentdirection

7 7

The organizational work of the creative team to develop a plan of action "Days of Science"

January, 2017

Head of Department, Head of Programme

88

Instructional meeting with students - authors of research papers "-praktike Science"

January, 2017

Head of Department, Head of Programme

99

Public lecture for students "Aspects of research activities"

February, 2017

HeadofDepartment

10 10

Organization and carrying out of competitions, competitions within the university

February, 2017

programManager

111111

The organization of training of students and their participation in competitions, contests, conferences, national level

During a year

programManager

12 12

Organization and carrying out of the contest "Student Portfolio"

May 2017

programManager

Socialdirection

1513

Organization of the participation of students in creative activities of the university

During a year

Head of Department, Head of Programme

Zdorovesberegajushchejdirection

16 14

Organization of student participation sport kinds

During a year

Head of Department, Head of Programme

 

Еxplanatory note

     Working with gifted students in general, it is the opening of the special groups for the gifted in the competition at different levels, and so on. The main task of the teacher - a discovery and development characteristics of students cognitive abilities: sensation, perception, memory, ideas, imagination, thinking, attention. In the construction of the development of methods of mathematical abilities of students in the process of teaching mathematics at the university must be based on the idea of a differentiated and developmental education.
For the construction techniques are necessary:
1. Diagnosis of gifted students in the system of general diagnosis (range of activities: the different types of testing, introspection, observation of parents and teachers).
2. Software for gifted students in the overall software system (differentiation).
3. Gifted Students teaching methods (problem, search, research, and so on).
4. The ability to modify the program to conduct training in accordance with the results of the diagnostic study, parental counseling.
     When working with gifted students is proposed that the questions included in the content of mathematical education in the past decade: logic, probability theory, combinatorics, etc...
Work may be performed in a variety of shapes and forms. Conditionally can distinguish three main types of work.
1. Individual work - work with the student to guide the extracurricular reading in math, preparing reports, abstracts, mathematical works, preparing some students for Olympiads, conferences, etc.
2. Group work - systematic work carried out with sufficient permanent staff of students.
3. Mass work - episodic work carried out with a large team of students. To apply this type of evening, the conference week mathematics Olympiads, conferences, contests, competitions and so on.
In practice, these types of work are closely linked with each other.
    Today the most common forms of work with gifted students are clubs, competitions and so on. There are special courses and elective courses as a variety of electives. One of the forms of employment are:
- Competition for the best solution to the problem in physics (chemistry) with the use of mathematics;
- Competition for the best solution to the problem of applied mathematical tools of physics, computer science, technical drawing;
- Competition for the best solution to a non-standard (combined) tasks related subjects school course, such as physics - chemistry. The core group will have features and other forms of work.
Work with gifted students At the heart of work with gifted students is the principle of voluntariness. It can be organized as a for showing some signs of giftedness, and for everyone.
    One of the first lessons should tell students about what they will do, what's new and interesting things they find out what classes benefit as they will be held to reveal who wish to engage in. And must specify the basic requirements, which should be subject to further students involved.
     There are two approaches to the organization of work with young people interested in mathematics.
The first approach is applied in the case where the group is numerous and divided into sections. They can be as follows:
- Teaching and research (students do research, prepare yourself for writing essays);
- Design (production of visual aids, models, devices for the office of mathematics, electronic presentations and projects);
- Decoration (preparation and publication of mathematical papers, different design in preparation for the Olympics, parties and other activities);
- Lovers of solving problems (problem solving, competitions, contests, etc...).
    The second approach is applicable to a small number of students. In this case, it is impossible to organize the section, and the interests of all students varied. Therefore, it is necessary to conduct classes in various forms.
The main forms of employment in this approach.
I. Combined thematic activity.
An exemplary structure of this class may be the following:
1. Presentation of the teacher in the chosen subject for 10 - 20 minutes.
2. The main part - the independent decision of problems on a particular topic group members, and among these tasks must be of high complexity tasks. The number of goals: 3-5 (depending on the topic and duration of sessions). After the decision of the first tasks of all or the majority of students is one of the students makes its analysis for all members of the group. The teacher in the course of solving problems draw conclusions, make generalizations.
3. Meeting the challenges of entertaining character, tasks Thinking, analysis of mathematical sophistry tricks. Carrying out mathematical games and entertainment
4. The answers to students' questions, homework.
    At the same time some of the most difficult problems, proposed solutions for self and home. Sometimes decides himself a teacher. Speech teacher, and the main part of the homework in the thematic session should occupy 70-80% of the time.
The remaining time is allocated to the tasks of entertaining character, oral exercises, games, magic tricks, etc. Also at this time it can be:
- hear a small message (story) of the teacher or the student on some issues (the biography of prominent mathematicians, interesting facts from the history of mathematics (eg, the invention of logarithms), interesting methods of account, the message of a new interesting book on mathematics for students, a summary of some mathematical problems ( for example, "cycloid")
- the tasks given home.
The time and place of this part of the activity determines the teacher.
II. Competition to solve mathematical problems, competitions and games.
Such a class is best done systematically, 4-6 thematic sessions, it will be the result of a kind of work for 1-2 months.
In this form of organization of all sessions is devoted to a competition, contest.
As an example, to hold such events as:
- non-standard Olympic Games (fight, hockey, etc.),
- mathematical carousel,
- mathematical battle,
- oral Competition,
- mathematical regatta, etc...
III. Hearing abstracts, protection of electronic projects and presentations.
IV. Analysis of tasks of international and national competitions; error analysis.
V. Solution of problems on various topics (often in preparation for competitions, to repeat).
There may be other shapes, less widely spread in practice, for example:
- tutorial given home. It so happened that the houses the students had trouble all or almost all. In this case, all the activity is devoted to analysis of domestic and solving similar problems
- manufacture of models for math lesson (eg, polygons, polyhedra).
- reports, talks on mathematics (usually a week of mathematics to the anniversaries of famous mathematicians).
- the student's message about the result that it has received about the problem that he himself came up and decided. (These classes are, of course, is the plan).
-read excerpts from artistic works related to mathematics. For example, from the book
Sharygin "Lessons grandfather Gavrila, or Educational Holidays".
- view movies, films, filmstrips in mathematics.
There may be other forms of organization of work with gifted students.

Preparing for the lesson
To prepare for the teacher it is necessary to conduct the following activities.
1. To study all the issues planned for this activity.
2. Solve all the selected task again.
3. Determine that the selected materials the most interesting and most difficult.
4. Locate the problem to solve in class in difficulty (or difficulties). At the same time problems with large calculations to engage not to take. Emphasis is placed on an interesting idea challenges.
5. The formulation of the problem is best printed on separate pieces of paper for each student. Sometimes it can be offered to students to reformulate the text of tasks, think of themselves.
6. In case of difficulty in studying in solving the problem, it is necessary to provide for a simple task (preparatory).
7. To implement the differential treatment applied "double" problem ( E. The one problem the idea, but different levels of difficulty).
8. Apply and tasks with errors; problems containing materials today.
9. Use the preinstallation tasks for future studies (both on the class and at home).
10. Have always left an interesting entertaining material.
For homework, the first time to offer no more than 2-3 tasks. If students will actively solve them, the number of tasks can be increased, otherwise - leave 2-3 and wherein the set does not always solve, and some of the challenges - offering optional.
It is desirable that all students participated in training sessions.

Basic guidelines for the preparation of a report by students

Example topics of presentations for students of 1-2 courses:
• Outstanding domestic mathematics.
• Mathematical errors made by the students on the exam.
• The value of mathematics to science and practice, and others.
1. Start with the preparation of reports must be small appearances, for example:
• presentation of solving some problems;
• Post conditions for certain tasks;
• Prepare a brief summary of academic mathematics of the term;
• display of mathematical focus, sophism, account rules.
Only after this performance was well-prepared and interesting to students, it can be charged more serious task: to prepare a message or report.
2. Give the job a month before you need to make a report.
3. Recommend the student literature; provide guidance on the plan and the key moments performances. (Sometimes before the preparation of the report suggest the problem relating to the report and literature itself to a week.)
4. Determine the time to speak. The student will write a report, will hear your message, recorded on tape.
5. Within two weeks to check what has been done to help.
6. For a week before the show to see the abstract, to listen to the report, check the visibility.
7. After the report of the teacher should be noted its advantages and disadvantages.

Basic requirements to the report:

• text of the report to the student better express in their own words;
• all new terms need to be clarified;
• at the beginning of the report explain the importance of the topic, what it might be interesting to present;
• identify basic concepts, the basic idea of the report;
• the duration of the report: 15-20 minutes;
• apply visibility.
To ensure that all students are aware of the group what they do guys, their work should be covered in mathematical high school newspaper or other publication in which it is desirable to put the work plan objectives for these activities. To achieve the goals set by the teacher to gifted students, it is necessary to:
• students in the classroom were accurate records;
• log in employment was recorded the material in question and achievements of students;
• material considered in the classroom, have been the basis of various mathematical competitions;
• Systematically repeat the material, including the review and in the previous year;
• the teacher in the classroom in the study program material every encouragement to the knowledge, skills and ideas that gifted students received extra lessons.
Concluding session should start with the teacher talks about how the students worked during the school year (which looked at what they have learned, what skills are acquired that studied new). Complete annual work, as already noted, the Olympics (and can be custom) on the tasks addressed during the school year, or offset. After that say about the prospects of working with gifted learners in the coming year, to offer books to read during the summer.

Sample topics classes for students of 1-2 courses

1. Logical problems.
2. Indefinite Equation.
3. Semiregular polygons.
4. Pythagorean theorem.
5. Geometric problems on the ground.
6. As a practical measure lengths and angles ?.
7. Analogies in mathematics.
8. Induction in mathematics.
9. Mathematical induction.
10. Dirichlet's Principle.
11. Equivalent figures and equidecomposability.
12. Chavy Theorem.
13. The transcendental equation.
14. The decision of incompatible systems.
15. Periodic fraction.
16. Continued fractions.
17. Entertaining combinatorial problems.
18. What is game theory?
19. Semiregular polyhedra.
20. Solution planimetric problems using trigonometry.
21. in the field of geometry.
22. Non-Euclidean geometry.
23. Complex numbers and operations on them.
24. Algebraic equations in integers.
25. Equations with modules.
26. Inequalities modules.
27. Equations with parameters.
28. Inequalities with parameters.
29. Horner scheme.
30. Bezout theorem.
31. The solution of equations of higher degrees.
32. Polynomials with one and several variables.
33. Additional chapters of mathematics.
34. Inverse trigonometric functions, their properties and graphs.
35. Functional methods for solving equations and inequalities.
36. Elements of the theory of numbers.
37. The logical foundations of mathematics and others.
Elective courses
Solution Olympiad problems
Methods for solving word problems
1. General Provisions
1.1. The program of support for gifted students in ArkSPI named after I.Altynsarin (here in after - the Regulations) establish the procedure, terms and amount of support students enrolled in Arkalyk State Pedagogical Institute named after I.Altynsarin.
It provides for the continued implementation of measures to create ArkSPI named after I.Altynsarin policy to support talented students, held in ArkSPI named after I.Altynsarin;
1.2.This Regulation is developed on the basis of the current legislation of the Republic of Kazakhstan, in accordance with Article 27 of the Law of the Republic of Kazakhstan "On local governance in the Republic of Kazakhstan", Article 47 of the Law of the Republic of Kazakhstan "On education", articles 4 and 11 of the Law of the Republic of Kazakhstan "On state youth policy in the Republic of Kazakhstan. "
1.3.These Regulations shall apply to students admitted to the first year of full-time training in ArkSPI named after I.Altynsarin, and is valid for the duration of their training.
1.4.This Regulation does not apply to students,
who were dismissed for any reason, the first year of study.
This Regulation does not apply to students who have previously studied in other educational institutions of higher professional education.
1.5. These Regulations are valid from 2015 -2016 school year.

2. The aims and objectives of support of gifted students studying in ArkSPI named after I.Altynsarin.
2.1. Its main objectives are to create an integrated system of identification, support and development of gifted students in ArkSPI named after I.Altynsarin.
1) determination of search strategy, education and training of gifted students;
2) maintenance and development of a single and continuous formation of the intellectual potential of the Republic of Kazakhstan;
3) To promote socio-cultural formation of talented youth.
2.2. As part of the Program is expected to solve the following tasks:
1. The accessibility of education for popular areas of training, stimulating students' interest in learning and science, training of competent and competitive specialists for the economy of the Republic of Kazakhstan.
2. Improving the quality of educational and training services in working with gifted students based on extensive use of modern scientific and educational achievements
3. The development of material support and social protection of gifted students;
4. Patriotic education of young students, formation of their legal and political culture, promotion of informed, responsible and active participation in social and political life of the university.
5. Revival and sustainable development of students' interest in mathematics and its applications and the expansion and deepening of knowledge of students on the program material.
6. The development of mathematical abilities and thinking in students.
7. Broadening and deepening student ideas about the practical value of mathematics in engineering, economics, and so on.
3. The main directions of the program
The main directions of the Program are
3.1. Adoption of organizational and administrative decisions aimed at improving the work with gifted students;
3.2 The implementation of measures for a more effective inclusion of gifted students into the intellectual and creative activity;
4. Expected results of the Program
The Program will provide
4.1. creation of an effective system for identifying, developing and supporting gifted students in ArkSPI named after I.Altynsarin;
4.2. increase of social activity of young students;
4.3. expansion of access to quality education and training for gifted students at the university;
4.4. broad participation of students in urban, regional, national and international creative competitions, festivals, competitions, sports competitions;
4.5. strengthening the material-technical base of institutions providing the work with gifted students.
5. The procedure and conditions of gifted students support measures
5.1. Awarding of prizes and diploma students Rector ArkSPI named after I.Altynsarin "The best project."
5.2. The expenses of the Olympiad participants.

Work schedule
on pedagogical support of gifted students
department of Mathematics and Physics ArkSPI named after I.Altynsarin
in the 2015 - 2016 academic year

Events

Time

Responsible

Legal and Information Support

1

The development of gifted students support program

September 2015

Head of Department, Head of Programme

2

Drawing gifted student support plan

September 2015

Head of Department, Head of Programme

3

Placement of information about students' achievements on the site

During a year

Head of Department, Head of Programme

4

Organization of translation experience teachers with gifted students in scientific collections, media, conferences

During a year

Head of Department, Head of Programme

Intelligent direction

5

The organizational work of the creative team to develop a plan of action "Days of Science"

January, 2016

Head of Department, Head of Programme

6

Organization and carrying out of competitions, competitions within the university

February, 2016

Head of Department, Head of Programme

7

The organization of training of students and their participation in competitions, contests, conferences, national level

During a year

Head of Department, Head of Programme

Social direction

8

Organization of the participation of students in creative activities of the university

During a year

Head of Department, Head of Programme

Health-saving direction

9

Organization of student participation sport kinds

During a year

Head of Department, Head of Programme

10

Organization of students' participation in the Olympics

According to the program of the sports committee

Head of Department, Head of Programme

Work schedule
on pedagogical support of gifted students
department of Mathematics and Physics ArkSPI named after I.Altynsarin
in the 2016 - 2017 academic year

Events

Time

Responsible

Legal and Information Support

1

The development of gifted students support program

September, 2016

Head of Department, Head of Programme

2

Drawing gifted student support plan

September, 2016

Head of Department, Head of Programme

3

Placement of information about students' achievements on the site

During a year

Program Manager

4

Organization of translation experience teachers with gifted students in scientific collections, media, conferences

During a year

Head of Department, Head of Programme

5

Updating library methodical editions for gifted students.

During a year

Program Manager

Intelligent direction

6

The organizational work of the creative team to develop a plan of action "Days of Science"

January, 2017

Head of Department, Head of Programme

7

Briefing with students - authors of research papers "- Science to practice"

January, 2017

Head of Department, Head of Programme

8

Public lecture for students "Aspects of research activities"

February, 2017

Head of Department

9

Organization and carrying out of competitions, competitions within the university

February, 2017

Program Manager

10

The organization of training of students and their participation in competitions, contests, conferences, national level

During a year

Program Manager

11

Organization and carrying out of the contest "Student Portfolio"

May, 2017

Program Manager

Social direction

12

Organization of the workshop facilitators "Working on the development of student self-government"

February

Tutors

13

The organization of joint events with student activists

During a year

Head of Department, Head of  Programme

14

Organization of the participation of students in creative activities of the university

During a year

Head of Department, Head of Programme

Health-saving direction

15

Organization of student participation sport kinds

During a year

Head of Department, Head of Programme

16

Organization of students' participation in the Olympics

According to the program of the sports committee

Head of Department, Head of Programme

            

Questions to Rector

Rekter en

PTS ArkSPI

Saiful
Kalimzhanova R.L.
Our University - it's not only the center training...
pps11
Rauan Bermagambet
ArkSPI is ideal intellectual and professional setting
Mugdhau
Nurtazina R.A.
ArkSPI - is higher educational institution

 

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