Course Name Code Semester T+U Hours Credit ECTS
Philosophy Of Mathematics IME 432 8 3 + 0 3 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Optional
Course Coordinator Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK
Course Lecturers
Course Assistants Res.Assist.Mithat TAKUNYACI
Course Category Field Proper Education
Course Objective Needed to conduct a research in mathematics education to ensure the creation of philosophical and theoretical foundations.
Course Content Ontology and epistemology of mathematics, numbers, sets, functions, etc. meanings of mathematical concepts and propositions, and mathematical expressions. The foundations of mathematics, methods, and philosophical problems about the nature of mathematics. Objectivity in mathematics and real-world applicability. Frege, Russell, Hilbert, Brouwer and Gödel´s philosophy of mathematics, such as the work of the pioneers. Principles and theories of the philosophy of mathematics: Mantıkçılık (Logisicm), Formalism (Formalism), Structuralism (structuralism), and Intuitionism (Intuitionism).
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain the importance of philosophical, mathematical logic. Lecture, Testing, Homework,
2 Refers to the meaning of mathematical expressions. Lecture, Testing, Homework,
3 Explain the relationship between philosophy and the philosophy of mathematics education. Lecture, Testing, Homework,
4 Explain the basic theories of the philosophy of mathematics. Lecture, Testing, Homework,
5 Leading researchers and their work, which explains the philosophy of mathematics in my development. Lecture, Testing, Homework,
6 Contemporary trends in mathematics education, and research indicates problems Lecture, Testing, Homework,
Week Course Topics Preliminary Preparation
1 What is Mathematics?
2 The nature of mathematics
3 Ontology of mathematics
4 Epistemology of mathematics
5 Meanings of mathematical expressions
6 Basic Theoris in Philosophy of Mathematics
7 The historical development of mathematics as a discipline and its educational implications
8 The work of the pioneers of the philosophy of mathematics
9 Midterm Exam
10 Purposes in mathematics education
11 Contemporary trends in mathematics education, and research problems
12 National education program in terms of the philosophy of mathematics education.
13 Effects of schools of philosophy of mathematics education
14 The objectivity of mathematical knowledge, philosophical schools, the effects of the philosophy of mathematics
Resources
Course Notes Gür, S. B. (2005), Matematik Felsefesi, Kadim Yayınları.
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems X
11 Get life long learning behaviour X
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 40
1. Kısa Sınav 20
1. Ödev 20
2. Kısa Sınav 20
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 5 80
Total Workload 128
Total Workload / 25 (Hours) 5.12
dersAKTSKredisi 5