| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Philosophy Of Mathematics | IME 402 | 8 | 2 + 0 | 2 | 3 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Doç.Dr. AYŞE ZEYNEP AZAK |
| Course Lecturers | Doç.Dr. AYŞE ZEYNEP AZAK, |
| Course Assistants | Res. Assist. Kevser GÜNAY |
| Course Category | Basic Teaching Suitable For Field |
| Course Objective | 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 |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Students will understand the ontology and epistemology of mathematics. | Lecture, Drilland Practice, | Testing, |
| 2 | Students will examine the work of the pioneers of mathematical philosophy such as Frege, Russel, Hilbert, Brouwer and Gödel. | Lecture, Drilland Practice, | Testing, |
| 3 | Students willl learn the basics of mathematics, methods and philosophical problems related to the nature of mathematics. | Lecture, Drilland Practice, | Testing, |
| 4 | Students will learn the basic theories of mathematical philosophy, logicism, formalism and intuitionism. | Lecture, Drilland Practice, | Testing, |
| 5 | Students will establish the relationship between mathematics philosophy and mathematics education | Lecture, Drilland Practice, | Testing, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Ontology of mathematics | |
| 2 | Epistemology of mathematics | |
| 3 | Numbers, sets, functions etc. the meaning of mathematical concepts and the meaning of mathematical expressions | |
| 4 | Fundamentals of mathematics | |
| 5 | Methods of mathematics | |
| 6 | Philosophical problems about the nature of mathematics | |
| 7 | Objectivity in mathematics and applicability to the real world | |
| 8 | The works of pioneers such as the philosophy of mathematics such as Frege, Russell, Hilbert Brouwer and Gödel | |
| 9 | Midterm | |
| 10 | Flatness and dimension concept | |
| 11 | Basic theories of mathematics philosophy (Logisicm), formalism and intuitionism | |
| 12 | Semi-experimentalists and Lakatos | |
| 13 | The relationship between mathematics philosophy and mathematics education | |
| 14 | Social groups in the philosophy of mathematics education |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | Matematik Felsefesi, Stephen F. Barker, İmge Kitabevi Matematik Tarihi ve Felsefesi, Adnan Baki, Pegem Yayıncılık Matematik Felsefesi, Bekir S.Gür, Kadim Yayınları Matematiksel Düşünme, Cemal Yıldırım, Remzi Kitabevi |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| # | Contribution of Course Learning Outcomes to Program Outcomes |
|---|---|
| 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 |
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 2. Kısa Sınav | 15 |
| 1. Ödev | 10 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 3 | 6 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 5 | 5 |
| Total Workload | 83 | ||
| Total Workload / 25 (Hours) | 3.32 | ||
| dersAKTSKredisi | 3 | ||