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 DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
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 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 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 WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
12
2
24
Preparation for Final exam
1
20
20
Course hours
14
3
42
Preparation for Midterm exam
1
15
15
Laboratory (including preparation)
Final exam
1
2
2
Homework
1
5
5
Total Workload
110
Total Workload / 30
3,66
ECTS Credits of the Course
4
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)