COURSE UNIT TITLE

: PHILOSOPHY OF MATHEMATICS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR ZEKIYE ÖZGÜR

Offered to

Mathematics Teacher Education

Course Objective

The aim of this course is to learn the nature and development of mathematical knowledge and mathematical objects; recognize the difference between pure and applied mathematics; understand different points of perspectives about mathematical knowledge through philosophical schools; learn famous mathematicians' philosophies and contributions to the field.

Learning Outcomes of the Course Unit

1   To be able to recognize different perspectives to the nature of mathematical knowledge.
2   To be able to develop different perceptions toward mathematical objects.
3   To be able to learn about different philosophical schools.
4   To be able to explain and discuss the epistemological roots of their mathematical philosophies.
5   To be able to appreciate science as an integral part of society and daily life.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 What is mathematics Ontology and epistemology of mathematics
2 The meanings of the fundamental mathematics topics, propositions and expressions
3 Foundations and methods of mathematics, and philosophical problems about the nature of mathematics
4 Subjectivity and applicability of mathematics to real-world
5 The work of the pioneer mathematics philosophers such as Frege, Russel, Hilbert, Brouwer, & Godel
6 Concept of dimension
7 Fundamental philosophical schools: Logisicm
8 Course overview, evaluation, and midterm examination
9 Fundamental philosophical schools: Formalism
10 Fundamental philosophical schools: Intuitionism
11 Fundamental philosophical schools: Quasi-experimenters & Lakatos
12 The relation of the fundamental theories in mathematics philosophy to mathematics education
13 Social groups in mathematics education philosophy
14 Comparison of social groups in mathematics education philosophy with respect to their views on learning, teaching, mathematical ability, technology, assessment and evaluation
15 Final Exam

Recomended or Required Reading

Baki, A. (2008). Kuramdan Uygulamaya Matematik Eğitimi. Harf Yayıncılık: Ankara.
Gür, B. (2004). Matematik Felsefesi. Kadim Yayınları.
Ernst, P. (1991). The Philosophy of Mathematics Education. Falmer Press: London.

Planned Learning Activities and Teaching Methods

Lecture, Group work, Presentation, Discussion.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

zekiye.ozgur@deu.edu.tr
Cahit Arf Building Office:314
Phone: 3012399

Office Hours

Wednesday 15.00-16.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 6 6
Preparation for final exam 1 6 6
Preparing presentations 1 7 7
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 75

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.13532
LO.2334
LO.33433
LO.43335
LO.55