Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MT402B	Philosophy of Mathematics	Compulsory	4	8	5

Level of Course Unit

First Cycle

Objectives of the Course

Understanding ontology and epistomology of mathematics. Taking knowledge of pre-teachers about the philosophy of mathematics and its basic concepts. Understanding to make relation between the nature of mathematics and its applying to real world.

Name of Lecturer(s)

Yrd.Doç. Dr. Tuba AĞIRMAN AYDIN

Learning Outcomes

1	1- Understanding ontology and epistomology of mathematics.
2	2- Understanding basic of mathematics.
3	3- Understanding objektivity in mathematics and its applying to real world.
4	4- Understanding philosophy of mathematics of Frege, Russel, Hilbert, Brouwer, and Gödel
5	5- Understanding basic concepts of mathematics.
6	6- Understanding relation with the other diciplines
7	7- Understanding relation between flosophy and mathematics
8	8- Able to analyse basic concepts with the others
9	9- Construct some relations between abstruct and appliying in mathematics
10	10- Able to Discasse own idea with someone about what is mathematics

Mode of Delivery

Normal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Science and Mathematics Ontology and epistomology of mathematics. Understanding mathematical expressions and propositions with mathematical concepts of numbers, sets and functions ect. Understanding mathematical expressions and propositions with mathematical concepts of numbers, sets and functions ect. The foundations, methodology of mathematics and the philosophy problems about the nature of mathematics. The foundations, methodology of mathematics and the philosophy problems about the nature of mathematics. Objektivity in mathematics and its applying to real world. Objektivity in mathematics and its applying to real world. Studying philosophy of mathematics of Russel. Studying philosophy of mathematics of Frege and Hilbert. Studying philosophy of mathematics of Brouwer ve Gödel. The basic theories in philosophy of mathematics. Logisicm and Formalism. Structuralism and Intuitionism.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
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

Recommended or Required Reading

Matematik Felsefesi(EDİTÖR:Bekir S GÜR) Bertrant Russell'da Bilim Felsefe ve Din (F. GÜL), Matematik Sanatı(Jerry P King), Kuramdan Uygulamaya Matematik Eğitimi(Adnan BAKİ)

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Attending Lectures	14	3	42
Self Study	14	2	28
Individual Study for Mid term Examination	7	6	42
Individual Study for Final Examination	6	6	36
TOTAL WORKLOAD (hours)			150

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1
LO2
LO3
LO4
LO5
LO6
LO7
LO8
LO9
LO10

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High