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Information
| Code | ME804 |
| Name | Reasoning and Problem Solving in Mathematics Education |
| 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 course is to understand the nature, stages and types of problem solving, to examine problem solving strategies and to pose problems.
Course Content
To comprehend the nature, stages and types of problem solving. To examine problem solving strategies. Grasp the nature of problem solving and reasoning; the types of problems; the stages of problem solving; problem solving strategies; write non-routine problems;
Course Precondition
none
Resources
Altun, M. (2010). Matematik Öğretimi. 7. baskı. Alfa aktüel: Bursa. 2-) Posamentier, A. S. and Krulik, S.(2009). problem solving in mathematics. Corwin. 3-) Posamentier, A. S. and Krulik, S.(2008). Problem solving strategies for efficent and elegant solutions. Corwin
Notes
https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the definition of the problem, |
| LO02 | Explains the types of problems |
| LO03 | Explains the problem solving process. |
| LO04 | Analyzes the problem solving process. |
| LO05 | Explains problem solving strategies. |
| LO06 | Examines problem solving strategies. |
| LO07 | Explain sthe problem posing process. |
| LO08 | Examines the problem posing process. |
| LO09 | Explain the place of problem solving in school mathematics |
| LO10 | Examines importance of problem solving in school mathematics. |
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. | |
| 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. | 5 |
| 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. | |
| 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. | 5 |
| 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. | 3 |
| 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 | What is the problem | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 2 | Problem types | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Examples related to problem types | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 4 | Problem solving process | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 5 | Structure of the problem solving process. | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 6 | Problem solving strategies | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 7 | Applications related to problem solving strategies | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 8 | mid-term exam | Prepare to homework | Ölçme Yöntemleri: Ödev |
| 9 | Difficulties in solving routine problems | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 10 | Difficulties in solving non-routine problems | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 11 | problem posing | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 12 | Applications related to problem posing | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 13 | The place of problem solving in school mathematics | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 14 | The importance of problem solving in school mathematics | Reading the relevant section from the suggested sources | Öğretim Yöntemleri: Anlatım |
| 15 | general evalution | Reading the suggested sources | Öğretim Yöntemleri: Tartışma |
| 16 | final exam | prepare to exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | final exam | prepare to exam | Ölçme Yöntemleri: Yazılı Sınav |
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 | 11 | 11 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 201 | ||
| Total Workload / 25 (h) | 8,04 | ||
| ECTS | 8 ECTS | ||