COURSE UNIT TITLE

: PHILOSOPHY OF MATHEMATICS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 4002 PHILOSOPHY OF MATHEMATICS COMPULSORY 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The development of the philosphy of mathematics

Learning Outcomes of the Course Unit

1   Students will be able to explain the mathematics place among the sciences.
2   Students will be able to explain mathematical concepts such as theorem, axiom, proof.
3   Students will be able to explain objectivity and applicability of mathematics to the real world.
4   Students will be able to explain the views of philosopher of mathematics.
5   Students will be able to explain the basic theories of philosophy of mathematics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 What is mathematics
2 Mathematics and science
3 The place of mathematics in science
4 Mathematical thinking methods
5 Induction-deduction
6 Meanings of some concepts and propositions in mathematics
7 Subjectivity in mathematics and adaptability to the real world
8 Midterm exam
9 Crisis in mathematics
10 Philosophic views related to the fundamentals of the mathematics
11 Logicism
12 Formalism
13 Intuitivism
14 Structuralism; Studies of mathematics philosophy pioneers (Frege, Russel, Hilbert, Brouwer, Gödel etc)
15 Final exam

Recomended or Required Reading

Bilim felsefesi, Cemal Yıldırım, Remzi Kitabevi.
Matematik felsefesi, Bekir S. Gür, Kadim Yayınları.
Matematik felsefesi, Stephen F. Barker, Imge Kitabevi.
Matematiksel düşünme, Cemal Yıldırım, Remzi Kitabevi.

Planned Learning Activities and Teaching Methods

Lecturing, question-answer, presentations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Theoretical 13 2 26
Pre Class Self Study 12 2 24
Midterm Preparation 1 10 10
Final Preparation 1 15 15
Paper Preparation 6 3 18
Final Exam 1 1 1
Midterm Exam 1 1 1
TOTAL WORKLOAD (hours) 95

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.133343
LO.234343
LO.3334
LO.43344
LO.5434