TÜRKÇE
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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ308 |
| Name | Mathematics Teaching II |
| Term | 2025-2026 Academic Year |
| Semester | 6. Semester |
| Duration (T+A) | 2-2 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. Gülfem SARPKAYA AKTAŞ |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this course is to familiarize pre-service teachers with the basic concepts, curricula, conceptual difficulties, student errors, and effective teaching strategies in the areas of number and algebra. Candidates create lesson designs based on constructivist approach and learn to utilize technology and representations in learning processes.
Course Content
Overview of the learning areas of numbers and algebra Development of number and operation skills Natural numbers, integers, rational numbers, decimal notation Algebraic thinking, patterns and generalizations Variable concept and algebraic expressions Equation and equality concept Teaching algebra with mathematical modeling Student mistakes and misconceptions The role of representations (concrete, visual, symbolic) in teaching numbers and algebra Educational digital tools and technology-assisted instruction Examples of measurement and evaluation Lesson plan and activity design
Course Precondition
No prerequisites for the course
Resources
Sarpkaya-Aktaş, G. (2025). Algebraic Thinking and Teaching with Application Examples. Pegem Publications Ertekin, E. and Ünlü, M. (2022). Teaching Numbers with Activity Examples from Theory to Practice. Pegem Publications
Notes
Güler, G. (2022). Teaching Algebra in Primary and Secondary Schools with Algebra Applications
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the place of numbers and algebra learning areas in the curriculum. |
| LO02 | define concepts and teaching strategies for number systems. |
| LO03 | Explain the development of algebraic thinking and the activities that support this process. |
| LO04 | Identify student misconceptions and develop corrective teaching methods. |
| LO05 | use a variety of representations effectively in numbers and algebra. |
| LO06 | Apply technology-supported teaching tools in number and algebra teaching. |
| LO07 | Develop lesson plans based on the constructivist approach for teaching numbers and algebra. |
| LO08 | Prepare and interpret measurement tools that assess conceptual understanding. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | 3 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | 4 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Scope of Mathematics Teaching II course, introduction of number and algebra learning area | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Natural numbers, number perception, use of the number line | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Integers, rational numbers, meaning and teaching of operations | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Fraction teaching with representations, student difficulties | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Introduction to Algebraic Thinking, Patterns, relationships, generalizations | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Conceptual basis and teaching of variable | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Student Errors in Numbers and Algebra Misconceptions, error analysis, sample student responses | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Use of Representations | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | GeoGebra, Desmos, teaching number and algebra with videos | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Gösterip Yaptırma, Grup Çalışması |
| 11 | Activity design, examples of constructivist lesson plans | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Algebraic modeling with real world problems | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Assessment and Evaluation Methods Tests measuring conceptual understanding, rubrics | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Student activity presentations, self-assessment of the course | reading and researching related topics | Öğretim Yöntemleri: Tartışma, Soru-Cevap, Beyin Fırtınası |
| 15 | Student activity presentations, self-assessment of the course-2 | reading and researching related topics | Öğretim Yöntemleri: Tartışma, Soru-Cevap, Beyin Fırtınası |
| 16 | Term Exams | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Exam preparation | 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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 116 | ||
| Total Workload / 25 (h) | 4,64 | ||
| ECTS | 5 ECTS | ||