| Course Type | Elective Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 4 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Recognize the concepts of ontology and epistemology of mathematics.
- Explain basic mathematical concepts such as theorem, proof, axiom.
- Explain the views of important scientists working in the field of philosophy of mathematics.
- Explain the basic theories in the philosophy of mathematics.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | No |
|---|
| Course Description | The course content includes the following topics: ontology and epistemology of mathematics; numbers, sets, functions, etc. mathematical concepts and meanings of propositions and mathematical expressions; foundations of mathematics, methods and philosophical problems concerning the nature of mathematics, objectivity in mathematics and applicability to the real world; works of pioneers in the philosophy of mathematics such as Frege, Russel, Hilbert, Brouwer and Gödel; the concept of flatness and dimension; basic theories in the philosophy of mathematics: Logicism, Formalism and Intuitionism, quasi-experimentalists and Lakatos; the relation of the philosophy of mathematics to mathematics education; social groups in the philosophy of mathematics education. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Ontology and epistemology of mathematics |
|
2nd Week |
Numbers, sets, functions etc. Mathematical concepts and meanings of propositions and mathematical expressions |
|
3rd Week |
Philosophical problems related to the nature of mathematics |
|
4th Week |
Objectivity in mathematics and applicability to the real world |
|
5th Week |
Works of pioneers of the philosophy of mathematics; Frege, Russell, Hilbert |
|
6th Week |
The work of pioneers in the philosophy of mathematics; Brouwer and Gödel |
|
7th Week |
Flatness and size concept |
|
8th Week |
Midterm |
|
9th Week |
Basic theories in the philosophy of mathematics logicalism, formalism and intuitionism |
|
10th Week |
Basic theories in the philosophy of mathematics logicism, quasi-experimentalists and Lakatos |
|
11th Week |
The relationship between philosophy of mathematics and mathematics education |
|
12th Week |
The relationship between philosophy of mathematics and mathematics education |
|
13th Week |
Social groups in the philosophy of mathematics education |
|
14th Week |
Social groups in the philosophy of mathematics education |
|
15th Week |
General review |
|
| Recommended or Required Reading | Baki, A. (2008). Kuramdan Uygulamaya Matematik Öğretimi. Harf yayınları.
Yıldırım, C. Matematiksel Düşünme, Remzi Kitabevi.
Stephen F. Barker, Matematik felsefesi, İmge Kitabevi. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Discussion
- Questions/Answers
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Assignment |
1 |
10 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
13 |
2 |
26 |
| Preparation for Final exam |
1 |
25 |
25 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
1 |
15 |
15 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
11 |
11 |
| Total Work Load | 120 |
| Total Work Load / 30 (h) | 4 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
