PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 4002	PHILOSOPHY OF MATHEMATICS	2 + 0	3rd Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Elective
Course Objective	To have teacher candidates knowledge of ontology and epistemology of mathematics, be aware of the philosophical problems of the nature of mathematics, studies of the mathematical philosophical pioneers and increase their awareness of the basic theories in mathematical philosophy
Course Content	Ontology and epistemology of mathematics; numbers, sets, functions, etc. mathematical concepts and propositions and meanings of mathematical expressions; the philosophical problems of mathematics through its the foundations, methods and the nature, objectivity in mathematics and applicability to the real world; Studies of mathematical philosophical pioneers such as Frege, Russel, Hilbert, Brouwer and Gödel; level and dimension concept, basic theories in mathematics philosophy Logicism, Formalism and intuitionism, semi-experimentalists and Lakatos; relation of mathematical philosophy with mathematics education; social groups in the philosophy of mathematics education.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Has idea about the ontology and epistemology of mathematics.
2	Evaluates some mathematical objects, such as numbers, sets, functions, in terms of their meanings.
3	Thinks about the philosophical problems of the nature of mathematics.
4	Recognize the importance of basic theories of mathematical philosophy in terms of the development of mathematics.
5	Have knowledge of the work of the pioneers of the philosophy of mathematics, interpret their work.
6	Establish the relationship between mathematics philosophy and mathematics education.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	4	4	1	1	1	4	2	4	4	4	5	4	4	4
LO 002	4	4	1	1	1	4	2	4	4	4	5	4	4	4
LO 003	4	4	1	1	1	4	2	4	4	4	5	4	4	4
LO 004	4	4	1	1	1	4	2	4	4	4	5	4	4	4
LO 005	4	4	1	1	1	4	2	4	4	4	5	4	4	4
LO 006	4	4	1	1	1	4	2	4	4	4	5	4	4	4
Sub Total	24	24	6	6	6	24	12	24	24	24	30	24	24	24
Contribution	4	4	1	1	1	4	2	4	4	4	5	4	4	4

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	2	14	28
Hours for off-the-classroom study (Pre-study, practice)	14	3	42
Assignments	1	4	4
Mid-terms	1	12	12
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 4002	PHILOSOPHY OF MATHEMATICS	2 + 0	2	Turkish	2024-2025 Spring	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Lecturer EBRU MUTLU	emutlu@pau.edu.tr		EGT A0232-03	%70

Goals		To have teacher candidates knowledge of ontology and epistemology of mathematics, be aware of the philosophical problems of the nature of mathematics, studies of the mathematical philosophical pioneers and increase their awareness of the basic theories in mathematical philosophy
Content		Ontology and epistemology of mathematics; numbers, sets, functions, etc. mathematical concepts and propositions and meanings of mathematical expressions; the philosophical problems of mathematics through its the foundations, methods and the nature, objectivity in mathematics and applicability to the real world; Studies of mathematical philosophical pioneers such as Frege, Russel, Hilbert, Brouwer and Gödel; level and dimension concept, basic theories in mathematics philosophy Logicism, Formalism and intuitionism, semi-experimentalists and Lakatos; relation of mathematical philosophy with mathematics education; social groups in the philosophy of mathematics education.

Topics

Weeks	Topics
1	Sharing the content of the course, introducing the resources, expressing expectations about the course
2	Mathematical thinking
3	Brief history of mathematics from past to present
4	crises in mathematics,irrational numbers
5	crises in mathematics,Infinitesimal Calculus
6	Non-Euclidean Geometry, Paradoxes
7	Logicism and Criticism
8	Middterm exam
9	Formalism
10	Philosophical Views on the Foundations of Mathematics
11	intuitionism
12	Distinction Between Analytical and Synthetic in Mathematical Precision
13	Mathematical Precision, Logical Empirism
14	Mathematical Precision - Classical View

Materials

Materials are not specified.

Resources

Resources	Resources Language
matematiksel düşünme- cemal yıldırım	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student