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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATS316 |
| Name | Misconceptions in Mathematics Teaching |
| Term | 2025-2026 Academic Year |
| Semester | 6. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYTEN PINAR BAL |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
At the end of this course, students will learn the mathematical concepts in the mathematics curriculum and the possible misconceptions that students may have about these concepts.
Course Content
Mathematical Concepts. Epistemological, psychological and didactic causes of misconceptions. Student difficulty, misconception, causes of misconceptions, difficulties and misconceptions encountered by students in teaching numbers, difficulties and misconceptions encountered by students in teaching algebra, difficulties and misconceptions encountered by students in teaching measurement, difficulties and misconceptions encountered by students in teaching probability, difficulties and misconceptions encountered by students in teaching geometry, solutions for eliminating misconceptions, student applications, evaluation of student applications
Course Precondition
There is no prerequisite for the course.
Resources
Zembat, İ. Ö., Özmantar, M. F., Bingölbali, E., Şandır, H. & Delice, A. (2015). Mathematical Concepts with Their Definitions and Historical Development, Ankara: Pegem Akademi
Notes
Özmantar, M. F., Bingölbali, E. and Akkoç, H. (2013) Mathematical Concept Misconceptions and Solution Suggestions, Ankara: Pegem Akademi
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | explain the meanings of mathematical concepts |
| LO02 | Explain misconceptions about mathematical concepts |
| LO03 | Develops solutions for misconceptions |
| LO04 | Identify the source of mathematical misconceptions |
| LO05 | Design a research on mathematical misconceptions |
| LO06 | Uses information and communication technologies effectively in concept teaching |
| LO07 | Apply the theoretical knowledge in the field of mathematics education in learning environments |
| LO08 | Evaluates the knowledge related to the field by thinking critically |
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. | 3 |
| 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. | 3 |
| 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. | 3 |
| 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. | 2 |
| 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. | 2 |
| 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 | Mathematical Concepts | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Epistemological, psychological and didactic causes of misconceptions | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Misconceptions about numbers | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Misconceptions about operations with numbers | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Misconceptions about fractions | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Misconceptions about operations with fractions | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Misconceptions about ratio and proportion | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Misconceptions about probability | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Geometric concepts and misconceptions in this field | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Misconceptions about measurement | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Misconceptions about algebraic expressions | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Solution suggestions for misconceptions | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Using technology in mathematics education for conceptual understanding | reading and researching related topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Evaluation of the period | Sharing thoughts about the period | Öğretim Yöntemleri: Tartışma, Soru-Cevap |
| 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 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||