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 Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK
Course Lecturers
Course Assistants

Res. Assist. Emine Nur BİLGİÇ

Course Category Available Basic Education in the 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
1 X
2 X
3 X
4
5 X
6
7
8
9
10
11 X
12 X
13
14 X
15
16
17
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