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Information
| Code | MATZ404 |
| Name | Modeling in Mathematics Teaching |
| Term | 2024-2025 Academic Year |
| Semester | 8. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KAMURAN TARIM |
| Course Instructor |
1 2 |
Course Goal / Objective
The aim of this lesson is to inform mathematics students teachers about mathematical modelling concept and modelling processes, to work on different modelling problems, to develop modelling problems, to inform about in-class modelling implementations, to develop modelling implementations, to examine and evaluate solution approaches and thought processes displayed by students who solve modelling problem. It is also aimed for mathematics students teachers to have knowledge and skill to develop and perform modelling implementations in their future professional lives in the light of the knowledge and experiences gained in this course.
Course Content
Mathematical modeling and problem solving; modeling and modeling process in mathematics teaching; modeling cycle process (identification of the problem, manipulation, prediction and verification), the steps of developing models; principles of developing models; the application of modeling tasks in mathematics classes and the role of the teacher; preparing mathematical modeling tasks and observing students' mathematical thinking processes.
Course Precondition
none
Resources
Bukova Güzel, E. (2019) Matematik Eğitiminde Matematiksel Modelleme. Pegem.
Notes
Related digital resources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students could explain mathematical modelling concept and modelling processes. |
| LO02 | Students could solve modelling problems. |
| LO03 | Students could develop modelling problems. |
| LO04 | Students could evaluate students solutions to modelling problems. |
| LO05 | Students could develop in/out-class modelling implementation. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Mathematical modelling concept | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Tartışma, Grup Çalışması |
| 2 | Mathematical modelling and problem solving | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Örnek Olay |
| 3 | Models and modelling process in mathematics education | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Problem Çözme |
| 4 | Modelling cycle | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Problem Çözme |
| 5 | Model development stages | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Örnek Olay |
| 6 | Model development principles | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Problem Çözme |
| 7 | Implementation of modelling tasks in mathematics classes | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Örnek Olay |
| 8 | Mid-Term Exam | preparing portfolyo | Ölçme Yöntemleri: Portfolyo, Performans Değerlendirmesi |
| 9 | Implementation of modelling tasks in mathematics classes 2 | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Bireysel Çalışma, Problem Çözme |
| 10 | Implementation of modelling tasks in mathematics classes 3 | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Teacher's role in implementations | Examination of relevant resources | Öğretim Yöntemleri: Soru-Cevap, Beyin Fırtınası, Örnek Olay |
| 12 | Preparing mathematical modelling tasks | Examination of relevant resources | Öğretim Yöntemleri: Soru-Cevap, Grup Çalışması, Problem Çözme |
| 13 | Preparing mathematical modelling tasks 2 | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Örnek Olay |
| 14 | Presenting and evaluating mathematical modeling activities | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Grup Çalışması, Problem Çözme |
| 15 | Presenting and evaluating mathematical modeling activities 2 | Examination of relevant resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Grup Çalışması |
| 16 | Term Exams | preparing report | Ölçme Yöntemleri: Yazılı Sınav, Performans Değerlendirmesi |
| 17 | Term Exams | preparing report | Ölçme Yöntemleri: Yazılı Sınav, Performans Değerlendirmesi |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||