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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
PHILOSOPHY OF MATHEMATICS EMT449 - 3 + 0 4

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITBachelor's Degree
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED4
NAME OF LECTURER(S)-
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Recognize the concepts of ontology and epistemology of mathematics.
2) Explain basic mathematical concepts such as theorem, proof, axiom.
3) Explain the views of important scientists working in the field of philosophy of mathematics.
4) Explain the basic theories in the philosophy of mathematics.
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNo
COURSE DEFINITIONOntology 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
WEEKTOPICS
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 exam
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
RECOMENDED OR REQUIRED READINGBaki, 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 METHODSLecture,Discussion,Questions/Answers,Presentation
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
Assignment110
Total(%)50
Contribution of In-term Studies to Overall Grade(%)50
Contribution of Final Examination to Overall Grade(%)50
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam122
Preparation for Quiz
Individual or group work12224
Preparation for Final exam12020
Course hours14342
Preparation for Midterm exam11515
Laboratory (including preparation)
Final exam122
Homework155
Total Workload110
Total Workload / 303,66
ECTS Credits of the Course4
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
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