MATZ402 Philosophy of Mathematics

3 ECTS - 2-0 Duration (T+A)- 8. Semester- 2 National Credit

Information

Code MATZ402
Name Philosophy of Mathematics
Term 2023-2024 Academic Year
Semester 8. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 3 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. PERİHAN ARTUT
Course Instructor Prof. Dr. PERİHAN ARTUT (A Group) (Ins. in Charge)


Course Goal / 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.

Course Precondition

None

Resources

Bekir S. Gür. Matematik Felsefesi

Notes

https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Has idea about the ontology and epistemology of mathematics.
LO02 Evaluates some mathematical objects, such as numbers, sets, functions, in terms of their meanings.
LO03 Thinks about the philosophical problems of the nature of mathematics.
LO04 Recognize the importance of basic theories of mathematical philosophy in terms of the development of mathematics.
LO05 Have knowledge of the work of the pioneers of the philosophy of mathematics, interpret their work.
LO06 Establish the relationship between mathematics philosophy and mathematics education.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has enough knowledge about mathematics. 5
PLO02 Bilgi - Kuramsal, Olgusal Has pedagogical knowledge about teaching profession and field.
PLO03 Bilgi - Kuramsal, Olgusal Implements classroom management approaches to be used in educational environments effectively.
PLO04 Bilgi - Kuramsal, Olgusal Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels.
PLO05 Bilgi - Kuramsal, Olgusal Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life.
PLO06 Bilgi - Kuramsal, Olgusal Uses Turkish properly and effectively according to the rules.
PLO07 Bilgi - Kuramsal, Olgusal Selects and designs appropriate materials, in mathematics teaching.
PLO08 Bilgi - Kuramsal, Olgusal Monitors students' progress using different assessment and evaluation methods and techniques.
PLO09 Bilgi - Kuramsal, Olgusal Takes responsibility as an individual and as a team member to solve problems related to the field.
PLO10 Beceriler - Bilişsel, Uygulamalı Has life-long learning awareness.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. 5
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses information and communication technologies and other related materials for an effective mathematics teaching.
PLO13 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Has enough foreign language knowledge to follow foreign resources related to the field.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Has the knowledge of the purpose, structure and functioning of the Turkish education system.
PLO15 Yetkinlikler - Öğrenme Yetkinliği Becomes a teacher who adheres to Atatürk's principles and revolutions.


Week Plan

Week Topic Preparation Methods
1 The birth and historical development of the philosophy of mathematics Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
2 The birth of logical and abstract thinking, its philosophical aspects. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
3 The beauty of mathematics, philosophical thoughts about the nature of mathematics. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
4 Philosophical views of Aristotle, Socrates, Euclidean, Phythogoras and Descartes. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
5 The relationship between the philosophy of mathematics and mathematics education. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
6 Social groups in the philosophy of mathematics education. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
7 Objectivity in mathematics and its applicability to the real world. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
8 Mid-Term Exam prepare to exam Ölçme Yöntemleri:
Yazılı Sınav
9 The relationship of the philosophy of mathematics with other sciences. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
10 Philosophical views on the foundations of mathematics. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
11 Logicism, ontology. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
12 Formalism, metaphysics, quasi-experimentalists. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
13 Intuitionism, structuralism. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
14 Studies of the pioneers of the philosophy of mathematics such as Frege, Russell, Hilbert, Brouwer, Lakotos, Kant and Gödel. Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Bireysel Çalışma
15 General evulation Examination of relevant resources Öğretim Yöntemleri:
Anlatım, Tartışma, Soru-Cevap
16 Term Exams prepare to exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams prepare to exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 6 6
Final Exam 1 16 16
Total Workload (Hour) 78
Total Workload / 25 (h) 3,12
ECTS 3 ECTS

Update Time: 11.05.2023 03:19