Course Profile

sap course 1580196583

Course Code:

MATE 402

Course Title:

Philosophy of Mathematics

Course Level:

BS

Credit Hours/ ECTS Credits:

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

Catalog Description:

Ontology and epistemology of mathematics; numbers, sets, functions, etc. 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; Logisicm, formalism and intuitionism. Semi-experimentalists and Lakatos; the relationship between mathematics philosophy and mathematics education; social groups in the philosophy of mathematics education. Ontology and epistemology of mathematics; numbers, sets, functions, etc. 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; Logisicm, formalism and intuitionism. Semi-experimentalists and Lakatos; the relationship between mathematics philosophy and mathematics education; social groups in the philosophy of mathematics education.

Pre-requisite:
Co-requisite:

Pre-requisites: NONE
Co-requisites: NONE
Semester: 
Spring
Type of Course: 
Compulsory
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
Course Objectives: 

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

Course Learning Outcomes: 

Upon successful completion of this course, the student should be able to:

  1. Collaborate on onthology and epistomology 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 philosopy 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: Exit cards

Student Workload:

Lectures
28
hrs
Course Readings
42
hrs
Debate
5
hrs
Exams/Quizzes
15
hrs

Prepared By:

Elif Medetoğulları

Revised By:

Gizem Güzeller