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Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| CLASSROOM TEACHING (PhD) | |
| Code | SÖ833 |
| Name | Mathematical Skills and Activity Design in Mathematics Education |
| Term | 2026-2027 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 | Dr. Öğr. Üyesi Hatice Beyza ALBAYRAK |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
This course aims to examine the nature of mathematical skills in mathematics education and their place in curricula, to discuss current research trends focusing on the teaching and assessment of these skills, and to enable postgraduate students to develop a comprehensive perspective for their academic studies.
Course Content
This course covers the theoretical framework of mathematical skills, their integration into mathematics curricula, classroom practices, and developmental processes.
Course Precondition
none
Resources
Albayrak, H. B., & Tarım, K. (2025). Matematik dersinde beceri öğretimi. R. Sever & Y. Karalı (Eds.), Türkiye Yüzyılı Maarif Model Kapsamında İlkokulda Beceri Temelli Eğitim içinde (s. 267-294). Pegem Akademi Yayıncılık.
Notes
Albayrak, H. B., & Tarım, K. (2025). Matematik dersinde beceri öğretimi. R. Sever & Y. Karalı (Eds.), Türkiye Yüzyılı Maarif Model Kapsamında İlkokulda Beceri Temelli Eğitim içinde (s. 267-294). Pegem Akademi Yayıncılık.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | 1. Analyzes theoretical frameworks related to mathematical skills through a comparative approach. |
| LO02 | 2. Defines the cognitive nature of core skills such as mathematical reasoning, problem-solving, mathematical representation, and making connections. |
| LO03 | 3. Evaluates the role and significance of mathematical skills within national and international curricula. |
| LO04 | 4. Synthesizes current literature and research trends concerning the instruction of mathematical skills. |
| LO05 | 5. Explains the interaction between high-level skills and various mathematical content areas (e.g., numbers, geometry). |
| LO06 | 6. Designs high-quality learning tasks and activities aimed at developing specific mathematical skills. |
| LO07 | 7. Develops alternative assessment and evaluation tools for measuring mathematical skills. |
| LO08 | 8. Plans an original research project within the scope of mathematical skills. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Develops up-to-date and advanced knowledge in the field of primary school teacher, based on Master's qualifications, at the level of expertise with original thought and research. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Establishes relationships with different disciplines in the field of primary school teacher. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Conducts advanced research by systematically approaching new information in the field. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops new scientific methods or applies a known method to a different field; carries out original research. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Makes critical analysis, synthesis and evaluation of new ideas. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Produces an original study in the field of primary school teacher by using the scientific method. | 4 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Publishes a scientific article. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | She/He conducts original and interdisciplinary studies related to his/her field. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Works individually or as a team. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Generates new ideas and methods by using higher level mental processes. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | It conducts teaching processes on an interactive and ethical basis. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Develops and implements effective teaching strategies. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Examines and develops social relations and the norms that guide these relations with a critical perspective. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | She/He participates in meetings related to her field and defends her original views. | 4 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Uses a foreign language in written and oral form at least at the C1 level of the European Language Portfolio. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Communicates by considering cultural differences in all national and international studies. | |
| PLO17 | Bilgi - Kuramsal, Olgusal | It contributes to the process of becoming an information society by introducing the technological, social and cultural advances in its field to the society. | |
| PLO18 | Bilgi - Kuramsal, Olgusal | It establishes functional interaction with individuals and institutions by using strategic decision-making processes in solving the problems encountered in the field. | |
| PLO19 | Bilgi - Kuramsal, Olgusal | Generates solutions on social, scientific and ethical issues related to her/his field. | 4 |
| PLO20 | Bilgi - Kuramsal, Olgusal | It develops the values related to the field and supports it at the national and international level. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction of course content, resources, strategies, methods and techniques to be followed | lesson preparation | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Definition and scope of skill and mathematical skills | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Mathematical Skills in International Frameworks: NCTM, NRC, and PISA | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | The integration of mathematical skills into the curricula | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Mathematical reasoning skills and activity examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Mathematical problem-solving skills and activity examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Mathematical representation skills and activity examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | prep exam | Ölçme Yöntemleri: Ödev |
| 9 | Data literacy and data-driven decision-making skills: Activity examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Working with mathematical tools and technology: Activity examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 11 | Mathematical Communication and Connection Skills: Activity Examples | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Designing Skill-Based Activities in Mathematics Education I | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 13 | Designing Skill-Based Activities in Mathematics Education II | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 14 | Designing Skill-Based Activities in Mathematics Education III | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 15 | Designing Skill-Based Activities in Mathematics Education IV | Literature review and academic readings on the relevant subject | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | prep exam | Ölçme Yöntemleri: Ödev |
| 17 | Term Exams | prep exam | Ölçme Yöntemleri: Ödev |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 18 | 3 | 54 |
| Out of Class Study (Preliminary Work, Practice) | 17 | 5 | 85 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 20 | 20 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 20 | 20 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 199 | ||
| Total Workload / 25 (h) | 7,96 | ||
| ECTS | 8 ECTS | ||