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Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| CLASSROOM TEACHING (MASTER) (WITH THESIS) | |
| Code | SÖ1712 |
| Name | Mathematical Modeling and Applications in Mathematics Education |
| Term | 2025-2026 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi Hatice Beyza ALBAYRAK |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
In this course, it is aimed to introduce the concept of mathematical modeling in mathematics education, to teach mathematical modeling applications, to examine mathematical modeling studies in academic studies and to design a model-eliciting activity.
Course Content
In this course, mathematical modeling, mathematical modeling perspectives, mathematical modeling processes, model-eliciting activities, principles and components of model-eliciting activities will be examined.
Course Precondition
None
Resources
Bukova Güzel, E. (2018). Matematik eğitiminde matematiksel modelleme: Araştırmacılar, eğitimciler ve öğrenciler için. Ankara: Pegem Akademi Yayıncılık. Bukova Güzel, E., Doğan, M. F., & Özaltun Çelik, A. (2021). Matematiksel modelleme: Teoriden uygulamaya bütünsel bakış. Ankara: Pegem Akademi Yayıncılık.
Notes
Bukova Güzel, E., Doğan, M. F., & Özaltun Çelik, A. (2021). Matematiksel modelleme: Teoriden uygulamaya bütünsel bakış. Ankara: Pegem Akademi Yayıncılık.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines mathematical modeling. |
| LO02 | Explain mathematical modeling perspectives. |
| LO03 | Explain mathematical modeling processes. |
| LO04 | Defines the model-eliciting activity. |
| LO05 | Explain the principles of model-eliciting activities. |
| LO06 | Explain the basic components of model-eliciting activities. |
| LO07 | Examines domestic and foreign studies on mathematical modeling in mathematics education. |
| LO08 | Designs a model-eliciting activity. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Uses elementary scientific research and analysis methods suitable for the area of expertise. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Discusses primary school first and fourth grade programs and the elementary principles on which they are based. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Discusses the development and learning theories within the scope of primary school first and fourth grade. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains the basis of instructional strategies, methods and techniques. | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explains the interaction among the disciplines related to the field. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Describes the teaching principles of the subject areas (Social Studies, Turkish, Science, Mathematics, etc.) of primary education at the 1st - 4th grades at a professional level. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Utilizes the combined information about class teaching and different areas. | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Evaluates the theoretical and applied information (article, thesis, etc.) in the field with a critical eye. | 5 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Has a critical approach to the national and internatinal applications concerning the primary education. | 5 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Plans and executes a scientific research. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Uses, develops and deepens teaching strategies, methods and techniques with an interdisciplinary understanding. | 2 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Will be willing to independently carry out work that requires expertise in the field. | 5 |
| PLO13 | Bilgi - Kuramsal, Olgusal | Has the quality of leadership in situations related to problem solving in their field or organises teamwork. | 3 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Questions the scientific and social issues in a critical way, and welcomes new perspectives. | 5 |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | Conducts the studies in the field within the framework of lifelong learning. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | Follows social and technological developments. | 1 |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Conducts a scientific study in the field of primary education, and supporting with both qualitative and quantitative data submits the study to the experts and non-experts using written, oral and visual presentation techniques. | 5 |
| PLO18 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Utilises information and communication technologies effectively. | 4 |
| PLO19 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Speaks one of the languages in the European language portfolio fluent enough to understand knowledge related to the field and maintain oral and written communication. | |
| PLO20 | Yetkinlikler - Öğrenme Yetkinliği | Respects the social, scientific, cultural and ethical values while conducting a research and a project related to the field or interpreting a study. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction of course content, resources, strategies, methods and techniques to be followed | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Model, mathematical model and mathematical modeling concepts | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Mathematical modeling perspectives | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Mathematical modeling processes | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Model-eliciting activity and principles of model-eliciting activities | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Basic components of model-eliciting activities | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Investigation of modeling activities at different grade levels | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Exam preparation | Ölçme Yöntemleri: Ödev |
| 9 | Examination of domestic studies in the field of mathematical modeling in mathematics education | Literature review | Öğretim Yöntemleri: Tartışma, Bireysel Çalışma |
| 10 | Examination of studies conducted abroad in the field of mathematical modeling in mathematics education | Literature review | Öğretim Yöntemleri: Bireysel Çalışma, Tartışma |
| 11 | Writing a research sample in mathematical modeling I | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Bireysel Çalışma |
| 12 | Writing a research sample in mathematical modeling II | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Tartışma, Bireysel Çalışma |
| 13 | Designing and evaluating a model-eliciting activity I | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Bireysel Çalışma, Tartışma |
| 14 | Designing and evaluating a model-eliciting activity II | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Tartışma, Bireysel Çalışma |
| 15 | Designing and evaluating a model-eliciting activity III | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Tartışma, Bireysel Çalışma |
| 16 | Term Exams | Exam preparation | Ölçme Yöntemleri: Proje / Tasarım, Performans Değerlendirmesi |
| 17 | Term Exams | Exam preparation | Ölçme Yöntemleri: Performans Değerlendirmesi, Proje / Tasarım |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 15 | 3 | 45 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 20 | 20 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 20 | 20 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 161 | ||
| Total Workload / 25 (h) | 6,44 | ||
| ECTS | 6 ECTS | ||