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Information
| Code | ME807 |
| Name | Mathematical Modeling and Applications |
| Term | 2024-2025 Academic Year |
| Term | Fall and Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 8 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
1 |
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. Güzel, E., Doğan, M.F., Çelik, AÖ. (2022). Matematiksel Modelleme: Teoriden Uygulamaya Bütünsel Bakış, Pegem.
Notes
relevant literature
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains mathematical modelling concept and modelling processes. |
| LO02 | Solve modeling problems according to modeling steps |
| LO03 | Develops modelling problems. |
| LO04 | Evaluate students solutions to modelling problems. |
| LO05 | Develops in/out-class modelling implementation. |
| LO06 | Evaluates the articles related to mathematical modeling. |
| LO07 | Writes a research question based on the literature on mathematical modeling. |
| LO08 | Explains the methods appropriate to the written research question. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Based on master's qualifications, he/she develops and deepens current and advanced knowledge in the field with original thought and/or research at the level of expertise and reaches original definitions that will bring innovation to science. | 2 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Establishes relationships between various disciplines and sub-fields that the field is related to, and reaches original results by using their expertise in the analysis, synthesis and evaluation of new and complex ideas. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Approaches new information in the field in a systematic way and conducts advanced research in the field. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Develops a new scientific method that brings innovation to science or applies a known method to a different field; At this point, it designs and carries out an original research. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Makes critical analysis, synthesis and evaluation of new and complex ideas. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Contributes to science with an original, publishable work that brings innovation to science, develops a new scientific method or applies a known method to a field. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Expands the limits of knowledge in the field by publishing scientific articles related to the field in national and/or international refereed journals. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes leadership in original and interdisciplinary studies. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It carries out its work independently or as a team member. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Creative and critical thinkers; develops new ideas and methods related to the field by using high-level mental processes such as problem solving and decision making. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a facilitator/director in education and training activities in his/her field. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Continues the teaching processes on an interactive and ethical basis. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Develops and implements effective teaching strategies in order to provide students with knowledge and skills related to the field. | 5 |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Examines social relations and the norms that guide these relations with a critical perspective, develops them and manages actions to change them when necessary. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Defends their original views in a community of experts. | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Using a foreign language at least at the C1 General Level of the European Language Portfolio, communicates and discusses advanced written, oral and visual communication. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Communicates by considering cultural differences in all national and international studies. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | It contributes to the process of becoming an information society by introducing technological, social and cultural advances to the society in the academic and professional context. | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Establishes functional interaction with relevant persons and institutions by using strategic decision-making processes in solving the problems encountered in the field. | |
| PLO20 | Yetkinlikler - Alana Özgü Yetkinlik | It produces solutions on social, scientific and ethical issues related to its field and supports the development of these values at the national and international level. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Mathematical modelling concept | Examination of relevant resources | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 2 | Mathematical modelling and problem solving | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 3 | Models and modelling process in mathematics education | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 4 | Modelling cycle | Examination of relevant resources | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 5 | Model development stages | Examination of relevant | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 6 | Model development principles | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 7 | Implementation of modelling tasks in mathematics classes 1 | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 8 | mid term exam | preperation task | Ölçme Yöntemleri: Ödev |
| 9 | Implementation of modelling tasks in mathematics classes 2 | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 10 | Implementation of modelling tasks in mathematics classes 3 | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 11 | Teacher's role in implementations | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 12 | Preparing mathematical modelling tasks 1 | Examination of relevant | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 13 | Preparing mathematical modelling tasks 2 | Examination of relevant | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 14 | Presenting and evaluating mathematical modeling activities 1 | Examination of relevant | Öğretim Yöntemleri: Tartışma |
| 15 | Presenting and evaluating mathematical modeling activities 2 | Examination of relevant | Öğretim Yöntemleri: Tartışma |
| 16 | final exam | preparing report | Ölçme Yöntemleri: Performans Değerlendirmesi |
| 17 | final exam | preparing report | Ölçme Yöntemleri: Performans Değerlendirmesi |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 9 | 126 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 2 | 2 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 9 | 9 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 197 | ||
| Total Workload / 25 (h) | 7,88 | ||
| ECTS | 8 ECTS | ||