| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| - | MTÖ402 | Turkish | Compulsory | 8. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) | |
| Goals | To learn the basics of mathematics, methods and the philosophy of mathematics and to evaluate the relationship between the philosophy of mathematics and mathematics education. |
| Course Content | Ontology and epistemology of mathematics; numbers, sets, functions, etc. mathematical concepts and proposition and meaning of mathematical expressions; foundations of mathematics, methods and philosophical problems related to the nature of mathematics, objectivity in mathematics and applicability to the real world; Frege, Russel, Hilbert, Brouwer and Gödel; the concept of flatness and dimension, basic theories of mathematics philosophy (Logisicm), formalism and intuitionism, semi-experimentalists and Lakatos; the relationship between mathematics philosophy and mathematics education; social groups in the philosophy of mathematics education |
| # | Öğrenme Kazanımı |
| 1 | Students will understand the ontology and epistemology of mathematics. |
| 2 | Students will examine the work of the pioneers of mathematical philosophy such as Frege, Russel, Hilbert, Brouwer and Gödel. |
| 3 | Students willl learn the basics of mathematics, methods and philosophical problems related to the nature of mathematics. |
| 4 | Students will learn the basic theories of mathematical philosophy, logicism, formalism and intuitionism. |
| 5 | Students will establish the relationship between mathematics philosophy and mathematics education. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Ontology of mathematics | Interview Class Hours Other Activities |
| 2. Week | Epistemology of mathematics | Class Hours Interview Other Activities |
| 3. Week | Numbers, sets, functions etc. the meaning of mathematical concepts and the meaning of mathematical expressions | Class Hours Interview Research |
| 4. Week | Fundamentals of mathematics | Other Activities Interview Class Hours |
| 5. Week | Methods of mathematics | Research Interview Class Hours |
| 6. Week | Philosophical problems about the nature of mathematics | Other Activities Interview Presentation (Preparation) |
| 7. Week | Objectivity in mathematics and applicability to the real world | Class Hours Interview Other Activities |
| 8. Week | MIDTERM | Class Hours |
| 9. Week | The works of pioneers such as the philosophy of mathematics such as Frege, Russell, Hilbert Brouwer and Gödel | Other Activities Presentation (Preparation) Interview Class Hours |
| 10. Week | Flatness and dimension concept | Class Hours Other Activities Presentation (Preparation) Interview |
| 11. Week | Basic theories of mathematics philosophy (Logisicm), formalism and intuitionism | Class Hours Other Activities Interview Presentation (Preparation) |
| 12. Week | Semi-experimentalists and Lakatos | Other Activities Interview Presentation (Preparation) Research Class Hours |
| 13. Week | The relationship between mathematics philosophy and mathematics education | Interview Presentation (Preparation) Class Hours Research Other Activities |
| 14. Week | Final | Other Activities Presentation (Preparation) Interview Class Hours Research |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | They know and apply contemporary teaching methods and techniques, assessment and evaluation methods. | ✔ | |||||
| 10 | Know the relations among Mathematics-Society- Environment-History and utilize them in their daily and professional life. | ✔ | |||||
| 19 | Relate mathematics to other disciplines. | ✔ | |||||
| 20 | familiarize with the nature of mathematics and its historical development | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 |
| PY10 | 5 | 5 | 4 | 4 | 4 |
| PY19 | 3 | 0 | 3 | 3 | 3 |
| PY20 | 5 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 13 | 2 | 26 |
|
Ders Dışı |
Preparation, After Class Study | 6 | 3 | 18 |
| Research | 3 | 2 | 6 | |
| Other Activities | 1 | 3 | 3 | |
|
Sınavlar |
Midterm 1 | 1 | 10 | 10 |
| Homework 1 | 1 | 3 | 3 | |
| Final | 1 | 10.5 | 10.5 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
