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Information
| Code | ME811 |
| Name | Examination of Learning Theories in Mathematics Education |
| Term | 2022-2023 Academic Year |
| Semester | . Semester |
| 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 Goal / Objective
The aim of this course is to examine the basic concepts in mathematical learning, to explain the effects of the basic educational theories put forward by scientists such as Dewey, Piaget, Bruner, Ausubel, Gagne, Novak, Kelly, Wittrock , Driver and Vigotsky on mathematics teaching, and to explain various theories that affect the mathematical learning process. is to explain.
Course Content
Within the scope of this course, the effects of basic education theories put forward by scientists such as Dewey, Piaget, Bruner, Ausubel, Gagne, Novak, Kelly, Wittrock, Driver and Vigotsky on mathematics teaching; The relationship between learning theories and curriculum development, concept teaching, concept understanding, and factors affecting mathematical thinking will be examined.
Course Precondition
None
Resources
Bingolbali, E., Arslan, S. & Zembat, I. (2016). Theories in Mathematics Education. Pegem Akademi
Notes
Lester, F. (2007) Second Handbook and Research on Mathematics Teaching and Learning
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Evaluates similar and different aspects of new learning and teaching theorems in mathematics education. |
| LO02 | Analyze the factors affecting mathematical learning. |
| LO03 | Explain the factors affecting mathematical thinking. |
| LO04 | Evaluates different learning and teaching theorems in mathematics teaching. |
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. | 3 |
| 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. | 3 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | 1-Approaches new information in the field in a systematic way and conducts advanced research in the field. | 2 |
| 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. | 2 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | 3-Makes critical analysis, synthesis and evaluation of new and complex ideas. | 2 |
| 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. | 2 |
| 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. | 2 |
| 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. | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | 3-Continues the teaching processes on an interactive and ethical basis. | 2 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | 4-Develops and implements effective teaching strategies in order to provide students with knowledge and skills related to the field. | 2 |
| 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 | General introduction of the course and basic concepts | Determining readiness levels | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Factors affecting mathematical learning. | Reviewing related articles | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 3 | The role of the brain in the mathematical learning process. | Reviewing related articles | Öğretim Yöntemleri: Soru-Cevap |
| 4 | Learning theories in mathematics teaching. | Determining readiness levels | Öğretim Yöntemleri: Tartışma |
| 5 | Mathematical Thinking. | Determining readiness levels | Öğretim Yöntemleri: Tartışma |
| 6 | Realistic math education. | Determining readiness levels | Öğretim Yöntemleri: Tartışma |
| 7 | Conceptual and Operational Understanding. | Determining readiness levels | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 8 | Midterm exam | exam preparation | Ölçme Yöntemleri: Ödev |
| 9 | Mathematical Modeling in Mathematics Education. | Examining related studies | Öğretim Yöntemleri: Tartışma |
| 10 | Van-Hiele Levels of Geometric Thinking. | Examining related studies | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 11 | APOS Theory. | Examining related studies | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Visualization and Spatial Thinking. | Examining related studies | Öğretim Yöntemleri: Tartışma, Soru-Cevap, Anlatım |
| 13 | Multiple Representations. | Examining related studies | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 14 | Socio-mathematical Norms. | Examining related studies | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 15 | Various Studies on Learning Theories in Mathematics Education. | Examining related studies | Öğretim Yöntemleri: Bireysel Çalışma |
| 16 | General Evaluation | Examining related studies | Öğretim Yöntemleri: Tartışma |
| 17 | Semester exam | Examining related studies | Ölçme Yöntemleri: Proje / Tasarım |
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 | ||