EMT 420

Course ID:

Course Code & Number

EMT 420

Course Title

Philosophy of Mathematics

Level

BS

Credit Hours/ ECTS Credits

(1+2+0) 2 TEDU Credits, 3 ECTS Credits

Year of Study:

Semester:

Type of Course:

Elective

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite:

Catalog Description

Ontology and epistemology of mathematics. Mathematical concepts with proposition and the meaning of mathematical expressions. Fundamentals of mathematics. Methods and philosophical problems related to the nature of mathematics. Objectivity in mathematics and applicability to the real world. Studies of pioneers of philosophy of mathematics, such as Frege, Russel, Hilbert, Brouwer and Gödel. Flatness and dimension concept, basic theories of mathematics philosophy. Logicism, formalism and intuitionism. Semi-experimentalists and Lakatos. The relationship between mathematics philosophy and mathematics education. Social groups in the philosophy of mathematics education.

Course Objectives

The aim of this course is to provide students with an understanding of the basis of philosophy of mathematics. Dealing with different perspectives, students will have a chance to learn about ontology and epistemology of mathematics, objectivity of the field, meaning of mathematical expressions and theories of philosophy of mathematics.

Software Usage

Course Learning Outcomes

Upon successful completion of this course, students will be able to:

1. collaborate on ontology and epistemology of mathematics,
2. discuss the meaning of mathematical expressions,
3. elaborate on fundamentals, methods and nature of mathematics,
4. critique objectivity in mathematics and applicability to the real-world situations,
5. list pioneers of philosophy of mathematics,
6. state basic theories of philosophy of mathematics,
7. integrate basis of philosophy of mathematics and mathematics education.

Learning Activities and Teaching Methods:

Telling/Explaining Discussion/Debate Questioning Reading Brainstorming Guest Speakers Web Searching

Assessment Methods and Criteria:

Test / Exam Quiz Others

Assessment Methods and Criteria Others:

Exit Cards

Design Content

Recommended Reading

Required Reading

Grading

Learning Activities and Teaching Methods Others:

Course Coordinator:

Dr. Çiğdem Alkaş Ulusoy

Student Workload:

Workload	Hrs
Course Readings	15
Debate	10
Exams/Quizzes	8

Course & Program Learning Outcome Matching: