COURSE UNIT TITLE

: HıSTORY AND PHıLOSOPHY OF MATHEMATıCS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 1008 HıSTORY AND PHıLOSOPHY OF MATHEMATıCS COMPULSORY 2 0 0 3

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

Brief introduction to the history of mathematics, methods, materials and curricula used in mathematics history. Comparison with today s curricula and education. Learning the nature and development of mathematical knowledge and mathematical objects; recognizing the difference between pure and applied mathematics; understanding different points of perspectives about mathematical knowledge through philosophical schools; learning famous mathematicians philosophies and contributions to the field.

Learning Outcomes of the Course Unit

1   Students will be able to understand the importance and the value of the history of mathematics.
2   Students will be able to learn the development process of mathematics in the first civilizations.
3   Students will be able to learn mathematics and the methods used in the ancient Anatolian civilizations.
4   Students will be able to learn the turkish-Islamic scientists and mathematicians of Middle Age.
5   Students will be able to research the methods used in arithmetic, algebra and geometry classes in Ottoman period.
6   Students will be able to compare teaching methods and curriculas in the current and past periods.
7   Recognize different perspectives to the nature of mathematical knowledge.
8   Develop different perceptions toward mathematical object

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Pre-civilization mathematics, Ancient Egyptian mathematics, Ancient Greek mathematics,Developments in mathematics in Europe and the Turkish-Islamic ,World in the Middle Ages.
2 Historical development of geometry.,Historical development of numbers, algebra and statistics.
3 Historical development of Non-Euclidean Geometry,
4 Studies in mathematics before and after the Republic period,The begining and development of modern mathematics,The begining and development of modern mathematics
5 udies in mathematics before and after the Republic period,The begining and development of modern mathematics,The begining and development of modern mathematics
6 What is mathematics and philosophy of mathematics Foundations of mathematics, methods and philosophical thoughts on the nature of mathematics.
7 Basic mathematical concepts and the meanings of propositions and mathematical expressions
8 Midterm Exam
9 The works of pioneers of the philosophy of mathematics such as Frege, Russel, Hilbert, Brouwer, Lakatos and Gödel,Fundamental theories in the philosophy of mathematics: Ontology and epistemology of mathematics
10 Fundamental theories in the philosophy of mathematics: Logicism, Formalism.
11 Fundamental theories in the philosophy of mathematics: Logicism, Formalism.
12 What is mathematics and philosophy of mathematics Foundations of mathematics, methods and philosophical thoughts on the nature of mathematics.
13 Basic mathematical concepts and the meanings of propositions and mathematical expressions
14 Basic mathematical concepts and the meanings of propositions and mathematical expressions
15 Final Exam

Recomended or Required Reading

Bilimin Uyanışı, B.L.Van Der Waerden ( Çeviren : Prof.Dr.Orhan Şerafettin Içen )
Matematik Ve Tarihi , Prof.Yavuz Aksoy
Osmanlı Matematik Literatürü Tarihi, Prof.Dr.Ekmeleddin Ihsanoğlu ,Prof.Dr.Ramazan Şeşen,Dr.Cevat Izgi
Osmanlı Medreselerinde Ilim ,Cevat Izgi
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, presentations.

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

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Süha Yılmaz
Dokuz Eylül University Buca Education Faculty
Department of Science and Mathematics
e-mail suha.yilmaz@deu.edu.tr
tel:05057061973

Office Hours

Will be announced at the beginning of the semester.

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 10 10
Preparation for final exam 1 10 10
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 74

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.15
LO.21
LO.31
LO.41
LO.53
LO.63
LO.7
LO.8