COURSE UNIT TITLE

: PHILOSOPHY OF MATHEMATICS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The aim of this course is to describe the historical development of the Philosophy of Mathematics, to talk about some mathematical philosophical trends and to reveal the relation of philosophy of mathematics with other philosophies of science.

Learning Outcomes of the Course Unit

1   To be able to explain the place of mathematics among the sciences.
2   To be able to explain basic mathematical concepts such as theorem, proof, the basic theories of mathematics philosophy axiom.
3   To be able to explain the objectivity of your mathematics and its applicability to the real world.
4   To be able to explain the views of important scientists working in the field of mathematics philosophy.
5   To 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 1.Birth and historical development of mathematical philosophy
2 2.The birth and philosophical aspects of logical and abstract thinking.
3 3.The beauty of your mathematics is the philosophical thought of the nature of mathematics.
4 4.Philosophical views of Aristotle, Socrates, Euclidean, Phythogoras and Descartes.
5 5.Relation of mathematical philosophy to mathematics education.
6 6.Social groups in the philosophy of mathematics education.
7 7.Objectivity in mathematics and applicability to the real world.
8 8.Course overview,evaluation,Midterm examination.
9 9.Crisis in mathematics.
10 10.Philosophic views related to the fundamentals of the mathematics.
11 11.WEEK:Logicism.
12 12.WEEK:Formalism.
13 13.WEEK:Intuitivism.
14 14.WEEK:Structuralism; Studies of mathematics philosophy pioneers (Frege, Russel, Hilbert,Lakatos, Brouwer, Gödel etc)
15 15.WEEK:Final exam.

Recomended or Required Reading

Science philosophy, Cemal Yıldırım, Remzi Kitabevi.
Mathematical philosophy, Bekir S. Gür, Kadim Publications.
Mathematical philosophy, Stephen F. Barker, Imge Bookstore.
Mathematical thinking, Cemal Yıldırım, Remzi Kitabevi.

Planned Learning Activities and Teaching Methods

Lecture, Question-Answer, Presentations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE Midterm Exam
2 DTK Other Activity
3 FN Semester final exam
4 BNS BNS Student examVZ * 0.30 + Student examDTK * 0.10 + FN * 0.60
5 BUT Make- up note
6 BBN End of make-up grade Student examVZ * 0.30 +Student examDTK * 0.10 + BUT * 0.60


Further Notes About Assessment Methods

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course. Within the scope of other activities, assignments given to students and presentations made by students are evaluated.

Assessment Criteria

Midterm exam, quizzes, paper presentation and final exam.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

suha.yilmaz@deu.edu.tr
Hasan Ali Yücel Building
3012335

Office Hours

Wednesday 12:00-13:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 12 2 24
Preparation for midterm exam 5 1 5
Preparation for final exam 10 1 10
Preparing presentations 8 1 8
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 75

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.111514323
LO.211514323
LO.31151423
LO.411514423
LO.511514423