| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| EGKT 4382 | Additional chapters of elementary geometry | төртінші курс | 5 | 150 | 1 | 2 |
The discipline helps to revive interest in elementary geometry. Introduces students to the axioms of planimetry and stereometry, explains their main theorems with proofs. Forms the skills of applying geometric transformation methods. Students use elements of vector algebra in solving problems. Students use basic concepts and methods when solving problems on constructions in the plane and proofs.
The discipline forms the theoretical and methodological foundations of methodological science and initial methodological skills that ensure the performance of various functions of the subject of mathematics. Future teachers acquire a creative approach to solving the problems of teaching mathematics, the skills of independent analysis of the educational process, the study of methodological problems. Teaches the subject and problems of the methodology of teaching mathematics, the goals of teaching mathematics, the structure and content of school mathematics and classifications of methods of teaching mathematics.
| 1 | PON1-will be able to apply the basic theoretical |
| 2 | PON2-gets used to the use of fundamental and applied methods and tools of geometry in solving problems in professional activities. |
| 3 | Pon 3-demonstrates theoretical knowledge in relation to the basic laws in solving scientific and applied problems in geometry. |
| 4 | PON4-knows how to find methods for solving geometric problems by correctly applying geometric formulas and performing the necessary calculations |
| 5 | PON5-uses the basic ideas and methods of geometry, the system of basic geometric structures,general forms, laws and means of calculation in the process of conducting scientific and pedagogical research |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | The subject of geometry, the history of development.Straight lines on the plane. Axiom and the system of unknown concepts of geometry (according to Hilbert). | презентация |
| 2 | Theorem of Sines. Cosine-Tar theorem. Solving triangles. | презентация |
| 3 | Selective problems and theorems of planimetry. | презентация |
| 4 | Transform plane-side shapes. Movement. Similar transformation (Homothetia). Inversion. | презентация |
| 5 | Classical construction problems on the plane.Coordinate method. The relationship between rectangular and polar coordinates.Tendence of figures on the plain. | презентация |
| 6 | Vectors on the plane. Application of linear operations on vectors classification of vectors. Collinear sign of vectors. Scalar and vector product of vectors. Radius vector | презентация |
| 7 | Vectors in space. Applying operations to vectors. | презентация |
| 8 | Scalar and vector product of vectors. | презентация |
| 9 | Coordinate method. The relationship between rectangular and polar coordinates.Tendence of figures on the plain. | презентация |
| 10 | Stereometry. Axioms of stereometry and some of the consequences that follow from it. | презентация |
| 11 | The parallelism of straight lines and planes. The perpendicularity of straight lines and plains. | презентация |
| 12 | Bodies in space. Multilateral angles. Polyhedra. | презентация |
| 13 | Bodies of rotation. Basic formulas. Drawing spatial shapes on a plane. | презентация |
| 14 | Coordinates in space. The mutual arrangement of the sphere and the plane. | презентация |
| 15 | Problems of constructing the cross-section of figures in space. Spatial construction problems. | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Jalpy bilim beretin mektepte matematıkalyq esepterdi shyǵarýdy oqytýdyń ádistemelik negizderi. Oqý quraly. - Almaty, 2019j. A.E.Ábilqasymova , E.A. Tuıaqov. | |
| 2 | Qazaqstandaǵy matematıkany oqytý ádistemesiniń qalyptasýy men damýy. Oqý quraly. - Almaty : Mektep, 2018j. A. E. Ábilqasymova , B. M. Qosanov. | |
| 3 | Geometrıa: Oqý ádildik qural. / Pavlodar memlekettik pedagogıkalyq ýnıversıteti. - Pavlodar: PMPÝ, 2019. - 80b. http://rmebrk.kz Haırýllına, N. J. |