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Information
| Code | ME805 |
| Name | New Approaches and Basic Problems in Teaching Elementary Mathematics |
| Term | 2022-2023 Academic Year |
| Term | 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
In this course, it is aimed to gain the ability to critically evaluate the theories and approaches that are effective in mathematics teaching, the publications on mathematics teaching (strategy, method, technique, etc.) and to prepare a research proposal on a subject that is seen as a problem.
Course Content
Theory and theoretical framework in mathematics education, Contemporary mathematical theories, addressing and solving a current mathematical problem with existing theories
Course Precondition
The course has no prerequisites.
Resources
Bingölbali, F. ve Zembat, Ö. Matematik Eğitiminde Teoriler, Pegem yayınevi, Matematik öğretimi, Murat Altun 2. İlköğretim ikinci kademede matematik öğretimi, Murat Altun 3. Oluşturmacılık (Teori, Kuram ve Uygulamada), Soner Durmuş 4. Abstraction in context: Epistemic actions, Rina Hershkowitz, Baruch Schwarz, Tommy Dreyfus, Journal for research in mathematics education, 32(2), 195-222 5. Local instruction theories as means of support for teachers in reform mathematics education, Koeno Gravemeijer, Mathematical thinking and learning, 6:2,102-128
Notes
https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explain the theory and theoretical framework in my mathematics education. |
| LO02 | Explains a theory for modeling student understandings |
| LO03 | İşlemsel ve yapısal kavrayış teorisini açıklar. |
| LO04 | Explains the teaching of APOS theory and mathematical concepts. |
| LO05 | Explain the intuitive rule theory. |
| LO06 | Explain geometric paradigms. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | 1- 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 | 2- 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 | 1-Approaches new information in the field in a systematic way and conducts advanced research in the field. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | 2-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 | 3-Makes critical analysis, synthesis and evaluation of new and complex ideas. | 5 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | 1- 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 | 2-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 | 3- Takes leadership in original and interdisciplinary studies. | 5 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | 4-It carries out its work independently or as a team member. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | 1-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 | 2-Becomes a facilitator/director in education and training activities in his/her field. | 5 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | 3-Continues the teaching processes on an interactive and ethical basis. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | 4-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 | 1- 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 | 2- Defends their original views in a community of experts. | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | 3-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 | 4-Communicates by considering cultural differences in all national and international studies. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | 1- 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 | 2- 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 | 3- 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 | Theory, theoretical and conceptual framework in mathematics education 1 | Introduction of the related resources | Öğretim Yöntemleri: Anlatım |
| 2 | Theory, theoretical and conceptual framework in mathematics education 2 | review of relevant resources | Öğretim Yöntemleri: Tartışma |
| 3 | Theory, theoretical and conceptual framework in mathematics education 3 | Examination of 3 articles on the related subject | Öğretim Yöntemleri: Tartışma |
| 4 | Operational and structural theory of cognition 1 | review of relevant resources | Öğretim Yöntemleri: Tartışma |
| 5 | Operational and structural theory of cognition 2 | Examination of 3 articles on the related subject | Öğretim Yöntemleri: Tartışma |
| 6 | APOS theory 1 | review of relevant resources | Öğretim Yöntemleri: Tartışma |
| 7 | APOS theory 2 | Examination of 3 articles on the related subject | Öğretim Yöntemleri: Tartışma |
| 8 | mid-term exam | Prepare to exam | Ölçme Yöntemleri: Ödev |
| 9 | Intuitive rule theory 1 | review of relevant resources | Öğretim Yöntemleri: Tartışma |
| 10 | Intuitive rule theory 2 | Reviewing 3 articles on the subject | Öğretim Yöntemleri: Tartışma |
| 11 | geometric paradigms 1 | Examination of relevant resources | Öğretim Yöntemleri: Tartışma |
| 12 | geometric paradigms 2 | Examining 3 articles on the subject | Öğretim Yöntemleri: Tartışma |
| 13 | Addressing current mathematical problems within the framework of theories 1 | Preliminary research for the research topic | Öğretim Yöntemleri: Tartışma |
| 14 | Addressing current mathematical problems within the framework of theories 2 | Literature review for the research topic | Öğretim Yöntemleri: Tartışma |
| 15 | Addressing current mathematical problems within the framework of theories 3 | Explanation of the research method | Öğretim Yöntemleri: Tartışma |
| 16 | Final exam | Prepare to exam | Ölçme Yöntemleri: Portfolyo |
| 17 | Final exam | Prepare to exam | Ölçme Yöntemleri: Portfolyo |
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 | ||