| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| - | MTÖ402 | 8. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) |
EMİNE NUR ÜNVEREN BİLGİÇ |
| Assistants | |
| 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 |
| Learning Outcomes |
- Students will understand the ontology and epistemology of mathematics. - Students will examine the work of the pioneers of mathematical philosophy such as Frege, Russel, Hilbert, Brouwer and Gödel. - Students willl learn the basics of mathematics, methods and philosophical problems related to the nature of mathematics. - Students will learn the basic theories of mathematical philosophy, logicism, formalism and intuitionism. - Students will establish the relationship between mathematics philosophy and mathematics education. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Ontology of mathematics | Course Hours Other Activities Verbal Expression |
| 2. Week | Epistemology of mathematics | Course Hours Verbal Expression Other Activities |
| 3. Week | Numbers, sets, functions etc. the meaning of mathematical concepts and the meaning of mathematical expressions | Research Course Hours Verbal Expression |
| 4. Week | Fundamentals of mathematics | Verbal Expression Other Activities Course Hours |
| 5. Week | Methods of mathematics | Verbal Expression Course Hours Research |
| 6. Week | Philosophical problems about the nature of mathematics | Other Activities Verbal Expression Visual Presentation |
| 7. Week | Objectivity in mathematics and applicability to the real world | Verbal Expression Course Hours Other Activities |
| 8. Week | MIDTERM | Course Hours |
| 9. Week | The works of pioneers such as the philosophy of mathematics such as Frege, Russell, Hilbert Brouwer and Gödel | Verbal Expression Visual Presentation Other Activities Course Hours |
| 10. Week | Flatness and dimension concept | Other Activities Visual Presentation Verbal Expression Course Hours |
| 11. Week | Basic theories of mathematics philosophy (Logisicm), formalism and intuitionism | Visual Presentation Verbal Expression Other Activities Course Hours |
| 12. Week | Semi-experimentalists and Lakatos | Course Hours Research Visual Presentation Other Activities Verbal Expression |
| 13. Week | The relationship between mathematics philosophy and mathematics education | Verbal Expression Visual Presentation Research Other Activities Course Hours |
| 14. Week | Final | Course Hours Verbal Expression Visual Presentation Other Activities Research |
| Matematik Felsefesi, Stephen F. Barker, İmge Kitabevi |
| Matematik Tarihi ve Felsefesi, Adnan Baki, Pegem Yayıncılık |
| Matematiksel Düşünme, Cemal Yıldırım, Remzi Kitabevi |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 3 | 5 | 5 | 5 | 5 | 5 | - |
| PY10 | 4 | 5 | 5 | 4 | 4 | 4 | - |
| PY19 | 3 | 3 | 0 | 3 | 3 | 3 | - |
| PY20 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 13 | 2 | 26 |
| Preparation, After Class Study | 6 | 3 | 18 |
| Research | 3 | 2 | 6 |
| Other Activities | 1 | 3 | 3 |
| Midterm 1 | 1 | 10 | 10 |
| Homework 1 | 1 | 3 | 3 |
| Final | 1 | 10.5 | 10.5 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
