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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ309 |
| Name | Probability |
| Term | 2025-2026 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. SELAHATTİN KAÇIRANLAR |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this course is to teach the basic principles of counting, probability theory, random variables and their functions, discrete and continuous probability distributions and to enable the prospective teacher to apply this knowledge to some events that we may encounter in daily life or scientific research.
Course Content
This course covers basic probability theory topics starting from the basic principles of counting, permutation, combination, probability, Bayes theorem, random variables, expected value, variance, moments and discrete and continuous probability distributions.
Course Precondition
there are no preconditions.
Resources
Akdeniz, F.(2006). Probability and Statistics. Ankara: Nobel Publishing House Hasgür, İ. (2002) . Mathematical Statistics. Seçkin Publishing.
Notes
Tekin, V. N. (2006) Introduction to Statistics. Seçkin Publishing
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Define the basic principles of counting, permutation and combination. |
| LO02 | Define the basic concepts of probability theory. |
| LO03 | Define random variables and construct functions. |
| LO04 | Define discrete probability distributions and construct probability functions. |
| LO05 | Define continuous probability distributions and construct probability functions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic principles of counting | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 2 | permutation | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 3 | Combination | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 4 | Probability | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 5 | Bayes Theorem | ilgili kaynakların incelenmesi | Öğretim Yöntemleri: Anlatım |
| 6 | Discrete random variables and functions | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 7 | Continuous random variables and functions | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Bivariate probability functions | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 10 | Expected value of random variables | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 11 | Variance of random variables and Moments | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 12 | Discrete probability distributions I | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 13 | Discrete probability distributions II | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 14 | Continuous probability distributions I | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 15 | Continuous probability distributions II | Examination of related resources | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 1 | 1 |
| Final Exam | 1 | 2 | 2 |
| Total Workload (Hour) | 101 | ||
| Total Workload / 25 (h) | 4,04 | ||
| ECTS | 4 ECTS | ||