PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 4105	MODELLING IN MATHEMATICS EDUCATION	3 + 0	7th Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	To comprehend the epistemology of modeling related to the mathematics education. Modeling some real life situations by using manipulative or software with mathematical concepts.
Course Content	Mathematical modeling process and its characteristics. Modelling and analysing real life situations by using different representations, developing strategies and techniques about using mathematics in real life problems, using observation, experiment, simulation, computers and various technologies in mathematical modeling, modelling mathematical concepts, relationships and theorems by using physical objects, picture, diagram, computer, calculator, etc.., adapting these models to student's level.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Students should know the modelling cycle in mathematics.
2	Students should implement, and analyze mathematical modelling to daily life problems.
3	Students should follow related literature about modelling.
4	Students should design a sample model eliciting activity, implement it, and evaluate the outcomes.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	4	4	4	4	5			5	5	5	5		3
LO 002	5	5		4		4		5	5	5	5	4	4	4
LO 003	4	4	4	4	5	4	5		5	5		4	4	5
LO 004	5	5	5	5	5	5	5	5	5	5	5	5	5	5
Sub Total	18	18	13	17	15	13	10	15	20	20	15	13	16	14
Contribution	5	5	3	4	4	3	3	4	5	5	4	3	4	4

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	2	28
Hours for off-the-classroom study (Pre-study, practice)	14	3	42
Assignments	1	4	4
Mid-terms	1	12	12
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2026-2027 Fall	1	ÇAĞLAR NACİ HIDIROĞLU
Details	2026-2027 Fall	2	ÇAĞLAR NACİ HIDIROĞLU

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 4105	MODELLING IN MATHEMATICS EDUCATION	3 + 0	1	Turkish	2026-2027 Fall	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ÇAĞLAR NACİ HIDIROĞLU	chidiroglu@pau.edu.tr		EGT A0233-01	%70

Goals		To comprehend the epistemology of modeling related to the mathematics education. Modeling some real life situations by using manipulative or software with mathematical concepts.
Content		Mathematical modeling process and its characteristics. Modelling and analysing real life situations by using different representations, developing strategies and techniques about using mathematics in real life problems, using observation, experiment, simulation, computers and various technologies in mathematical modeling, modelling mathematical concepts, relationships and theorems by using physical objects, picture, diagram, computer, calculator, etc.., adapting these models to student's level.

Topics

Weeks	Topics
1	Providing information about your course
2	Modeling, model concepts and different model examples
3	Mathematical modeling and mathematical model concepts
4	Characteristics of mathematical modeling problems
5	Different perspectives on mathematical modeling and sample mathematical modeling problems from different perspectives
6	Overview of the mathematical modeling process
7	Overview of the mathematical modeling process
8	Solving a mathematical modeling problem
9	Examining the solution of a modeling problem within the framework of the mathematical modeling process
10	Modeling problem design
11	Presentation and discussion of designs in a classroom environment
12	Mathematical modeling and evaluation
13	Difficulties in mathematical modeling (student, teacher, system, etc.) and discussion on their correction
14	Difficulties in mathematical modeling (student, teacher, system, etc.) and discussion on their correction

Materials

Materials are not specified.

Resources

Resources	Resources Language
Matematik Eğitiminde Matematiksel Modelleme-Pegem Yayınları- Editör: Esra Bukova Güzel Yazar Adı: Ayşe Tekin Dede , Aytuğ Özaltun Çelik , Çağlar Naci Hıdıroğlu , Esra Bukova Güzel , Semiha Kula Ünver	Türkçe
Matematiksel Modelleme: Teoriden Uygulamaya Bütünsel Bakış- Pegem Yayınları- Editör: Esra Bukova Güzel, Muhammed Fatih Doğan, Aytuğ Özaltun Çelik	Türkçe
Nazan Sezen Yüksel, Şenol Dost, Yasemin Sağlam Kaya, Selin Urhan, Özgün Şefik . Matematik Eğitiminde Modelleme Etkinlikleri . Pegem Akademi Yayıncılık . 9786052417997	Türkçe

Course Assessment

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student