Course Name Code Semester T+U Hours Credit ECTS
History and Philosophy Of Mathematics IMT 511 0 3 + 0 3 8
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator
Course Lecturers
Course Assistants Research Asisstant Emine Nur BİLGİÇ
Course Category
Course Objective To provide a basis of required philosophic, historic and theoretical to make a research on mathematics education
Course Content Ontology and epistemology of mathematics, numbers, sets, functions etc. Mathematics concepts with proposing and meaning of mathematics expressions. Foundations of mathematics, methods and philosophical problems on mathematics. Objectivity in Mathematics and applying to real life. Studies of Frege, Russel, Hilbert, Brouwer, and Gödel. Basic theories in mathematics philosophy: Logisicm, Formalism, Structuralism and Intuitionism.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain philosophic importance of mathematical logic. Lecture, Testing, Homework,
2 Express the meanings of mathematical expressions. Lecture, Testing, Homework,
3 Explain the relation between philosophy of mathematics and philosophy of education. Lecture, Testing, Homework,
4 Explain basic theories of philosophy of mathematics. Lecture, Testing, Homework,
5 Explain researchers who are the leaders on development of philosophy of mathematics and their studies. Lecture, Testing, Homework,
6 Express the modern inclinations, problems and researces in mathematics education. Lecture, Testing, Homework,
Week Course Topics Preliminary Preparation
1 What is mathematics?
2 Nature of mathematics
3 Ontology and epistemology of mathematics
4 Meanings of mathematical expressions
5 Historical development of mathematics as a dicipline and its reflections on education
6 The aims in mathematics education
7 Modern inclinations, problems and researces in mathematics education
8 Relation between definition of mathematics and teaching mathematics and itstheoritical fundamentals
9 Mid Term Exam
10 Mathematical program of public education as philosophy of mathematics
11 Effects of philosophic schools to mathematics education
12 Objectivity of mathematical knowledge, effects of philosophic schools to philosophy of mathematics
13 Basic theories in philosophy of mathematics
14 Studies of researchers who are the leaders on philosophy of mathematics
Resources
Course Notes
Course Resources
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 40
1. Kısa Sınav 20
1. Ödev 20
2. Kısa Sınav 20
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 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 4 4
Quiz 2 4 8
Assignment 1 4 4
Final examination 1 6 6
Total Workload 150
Total Workload / 25 (Hours) 6
dersAKTSKredisi 8