TÜRKÇE
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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ106 |
| Name | Abstract Mathematics |
| Term | 2021-2022 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. PERİHAN DİNÇ ARTUT |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
In this course, it is aimed to give the students the mathematical thinking skills by introducing the abstract structure of mathematics and proof techniques.
Course Content
Sets, propositions, proof methods, relation and function concept.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Makes operations related to set concept, makes definitions about symbolic logic and propositions algebra , solves problems related to propositions. |
| LO02 | Explains the concepts of axiom, theorem, interprets mathematical proof methods, determines which proof methods will be used for the given example, explains the concept of relation. |
| LO03 | Defines the properties of equivalence relation and equivalence relation, constructs numbers with equivalence class concept, explains the concept of functions and types of functions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has enough knowledge about mathematics. | 0 |
| PLO02 | - | Has pedagogical knowledge about teaching profession and field. | 0 |
| PLO03 | - | Implements classroom management approaches to be used in educational environments effectively. | 0 |
| PLO04 | - | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | 0 |
| PLO05 | - | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | 0 |
| PLO06 | - | Uses Turkish properly and effectively according to the rules. | 0 |
| PLO07 | - | Selects and designs appropriate materials, in mathematics teaching. | 0 |
| PLO08 | - | Monitors students' progress using different assessment and evaluation methods and techniques. | 0 |
| PLO09 | - | Takes responsibility as an individual and as a team member to solve problems related to the field. | 0 |
| PLO10 | - | Has life-long learning awareness. | 0 |
| PLO11 | - | 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. | 0 |
| PLO12 | - | Uses information and communication technologies and other related materials for an effective mathematics teaching. | 0 |
| PLO13 | - | Has enough foreign language knowledge to follow foreign resources related to the field. | 0 |
| PLO14 | - | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | 0 |
| PLO15 | - | Becomes a teacher who adheres to Atatürk's principles and revolutions. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Concepts of set | To examine the related section from suggested sources | |
| 2 | Proposition, conjunctions, accuracy tables | To examine the related section from suggested sources | |
| 3 | Tautology and contradiction, equivalent propositions | To examine the related section from suggested sources | |
| 4 | quantifiers | To examine the related section from suggested sources | |
| 5 | Axiom, theorem, Introduction to proof methods | To examine the related section from suggested sources | |
| 6 | Direct proof method,,proof by contradiction method | To examine the related section from suggested sources | |
| 7 | Proofs of division | To examine the related section from suggested sources | |
| 8 | Mid-Term Exam | Preparing to exam | |
| 9 | Proof by giving contrast examples | To examine the related section from suggested sources | |
| 10 | Proof through contradiction | To examine the related section from suggested sources | |
| 11 | Proof by induction | To examine the related section from suggested sources | |
| 12 | Concept of relation | To examine the related section from suggested sources | |
| 13 | Equivalence relation, equivalence classes | To examine the related section from suggested sources | |
| 14 | Equivalence relation, equivalence classes | To examine the related section from suggested sources | |
| 15 | Fonctions | To examine the related section from suggested sources | |
| 16 | Term Exams | Preparing to exam | |
| 17 | Term Exams | Preparing to exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 128 | ||
| Total Workload / 25 (h) | 5,12 | ||
| ECTS | 5 ECTS | ||