Psychology
Bachelor	Length of the Programme: 4	Number of Credits: 240	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF: Level 6

Ders Genel Tanıtım Bilgileri

School/Faculty/Institute

Faculty of Education

Course Code

MATH 136

Course Title in English

Philosophy of Mathematics

Course Title in Turkish

Matematik Felsefesi

Language of Instruction

Type of Course

Lecture

Level of Course

Seçiniz

Semester

Fall

Contact Hours per Week

Lecture: 1

Recitation:

Lab:

Other:

Estimated Student Workload

118 hours per semester

Number of Credits

2 ECTS

Grading Mode

Standard Letter Grade

Pre-requisites

None

Expected Prior Knowledge

None

Co-requisites

None

Registration Restrictions

Only Undergraduate Students

Overall Educational Objective

To learn about historical development of mathematical philosophies

Course Description

This course provides students to state several key philosophical questions that prompted a search for a "foundation" for mathematics and mathematics education in the 19th and 20th centuries. Second, students learn to explain how changes in mathematical practice changed philosophical theorizing.

Course Description in Turkish

Bu dersin amacı, 19. ve 20. yüzyıllarda matematik ve matematik eğitimi için bir "temel" arayışına yol açan birkaç temel felsefi soruyu öğrencilerin ifade etmesini ve bu konuda temel bilgilere sahip olmasını sağlamaktır. İkincisi, öğrencilerin matematiksel uygulamadaki değişikliklerin felsefi kuramlaşmayı nasıl değiştirdiğini açıklayabilmeyi öğrenmesidir.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1) understand how changes in mathematical practice change philosophical theorizing and vice versa;
2) analyze different mathematical proofs;
3) assess validity of mathematical arguments;
4) reflect on historical development of mathematical philosophy.

Program Learning Outcomes/Course Learning Outcomes	1	2	3	4
1) Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology.
2) Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation.
3) Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes.
4) Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts.
5) Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline.
6) Internalization and dissemination of professional ethical standards.
7) Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences.
8) Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level).
9) Recognition, understanding, and respect for the complexity of sociocultural and international diversity.
10) Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement.
11) Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses.
12) Ability to acquire knowledge independently, and to plan one’s own learning.
13) Demonstration of advanced competence in the clarity and composition of written work and presentations.

Relation to Program Outcomes and Competences

N None	S Supportive	H Highly Related

	Program Outcomes and Competences	Level	Assessed by
1)	Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology.	N
2)	Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation.	N
3)	Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes.	H	Exam,HW,Participation
4)	Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts.	N
5)	Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline.	N
6)	Internalization and dissemination of professional ethical standards.	N
7)	Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences.	N
8)	Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level).	N
9)	Recognition, understanding, and respect for the complexity of sociocultural and international diversity.	S	Participation
10)	Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement.	S	HW,Participation
11)	Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses.	N
12)	Ability to acquire knowledge independently, and to plan one’s own learning.	S	Exam,HW
13)	Demonstration of advanced competence in the clarity and composition of written work and presentations.	H	Exam,HW

Prepared by and Date	RUKİYE DİDEM TAYLAN ,
Course Coordinator	BENGİ BİRGİLİ
Semester	Fall
Name of Instructor	Öğr. Gör. TUĞRUL ÖZKARACALAR

Course Contents

Week	Subject
1)	Introduction to the class: Philosophy of Mathematics
2)	Importance of Philosophy in Mathematics Education
3)	Investigating Proofs of Major Mathematical Theorems
4)	Generality and Euclidean Geometry
5)	Aristotelian Logic
6)	Theory of Abstract Ideas and Demonstration
7)	Construction of Arguments
8)	Presentation Week
9)	Presentation Week
10)	Knowing in Mathematics
11)	Rules of Inference vs. Axioms (Leibniz)
12)	A Priori vs Analyticity (Kant’s Philosophy of Mathematics)
13)	Overview of Historical Development of Mathematics and Philosophy
14)	Presentation of Final Project
15)	Final Examination Period (Project)
16)	Final Examination Period (Project)

Required/Recommended Readings

List of readings and indication whether they are required or recommended. Euclid's Elements J. Locke. An essay concerning human understanding. English. Ed. by P. H. Nidditch. Oxford: Clarendon Press, 1975. S. Shapiro. Thinking about mathematics: The philosophy of mathematics. Oxford University I. Kant. Prolegomena to any future metaphysics: with selections from the Critique of pure reason. Ed. by G. Hatfield. Cambridge: Cambridge University Press, 2004.

Teaching Methods

Flipped Learning Method Active Learning Student Presentations Lecture

Homework and Projects

Students will do several homework on given assigned readings. They will also develop a final project on using mathematical philosophies and to design mathematical activity.

Laboratory Work

None

Computer Use

None

Other Activities

None

Assessment Methods

Assessment Tools	Count	Weight
Attendance	1	% 15
Homework Assignments	1	% 20
Presentation	2	% 35
Final Examination	1	% 30
TOTAL		% 100

Course Administration

tayland@mef.edu.tr

ECTS Student Workload Estimation

Activity	No/Weeks	Hours			Calculation
	No/Weeks per Semester	Preparing for the Activity	Spent in the Activity Itself	Completing the Activity Requirements
Course Hours	14	1	1		28
Presentations / Seminar	5	4	2		30
Project	5	4	2		30
Homework Assignments	5	4	2		30
Total Workload					118
Total Workload/25					4.7
ECTS					2