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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ407 |
| Name | Mathematics Education III |
| Term | 2026-2027 Academic Year |
| Semester | 7. 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 | Prof. Dr. KAMURAN TARIM |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this course is to ensure that prospective mathematics teachers acquire theoretical knowledge, pedagogical approaches, and practical skills related to the teaching of statistics and probability. The course aims to equip teacher candidates with knowledge in data collection, data organization, interpreting graphs and tables, measures of central tendency and dispersion, the concept of probability, experimental and theoretical probability, dependent and independent events, and common misconceptions encountered in probability instruction.
Course Content
The role and importance of teaching statistics and probability in mathematics education; the concept of data; data collection, organization, and representation; teaching tables, graphs, and diagrams; measures of central tendency; measures of range and dispersion; statistical thinking and interpretation skills; the concept of probability; experimental and theoretical probability; sample space, events, and dependent and independent events; the use of materials and technology in probability instruction; conceptual misunderstandings in statistics and probability; designing activities based on real-life situations; aligning with curriculum objectives; developing assessment tools and implementing microteaching.
Course Precondition
none.
Resources
oruk, B. K., Aytekin, C., Karakuş, F., Karaduman, G. B., Çetin, İ., Özpınar, İ., ... & Gökçek, T. (2021). Activity-Based Teaching of Probability and Statistics. Nobel Academic Publishing.
Notes
AKKAŞ, E. N., & MERSİN, N. (2023). STATISTICS EDUCATION. New Approaches in Mathematics and Science Education 2023, 91.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the role of statistics and probability instruction in mathematics education. |
| LO02 | It evaluates the processes of data collection, organization, representation, and interpretation from an educational perspective. |
| LO03 | Develops examples aimed at teaching measures of central tendency and dispersion. |
| LO04 | Develops instructional practices that support students' statistical thinking and interpretation skills. |
| LO05 | Explains the concept of probability by relating it to everyday situations. |
| LO06 | Designs activities aimed at teaching the relationship between experimental and theoretical probability. |
| LO07 | It identifies misconceptions in statistics and probability and offers solutions to address them. |
| LO08 | It links topics in statistics and probability to the curriculum objectives. |
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. | 4 |
| 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. | |
| 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. | |
| 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. | 3 |
| 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 | The student explains the course's objectives, scope, structure, and assessment criteria. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | The student explains the importance of teaching statistics and probability in the context of mathematics education. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | The student identifies types of student data and explains appropriate data collection methods. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Student data is represented using tables, bar charts, line charts, pie charts, and other visualizations. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | The student interprets different types of graphs and designs activities to help students develop their graph-reading skills. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | The student center develops appropriate examples and activities designed to teach measures of central tendency. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | The student interprets data distributions and prepares activities for teaching measures of dispersion | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Students make statistical interpretations and draw conclusions based on data from daily life. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Students develop materials and activities designed to teach the concepts of probability, sample space, and events. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | The student explains the difference between experimental and theoretical probability and designs an in-class activity. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Students explain dependent and independent events using examples and identify misconceptions. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | The student analyzes common misconceptions encountered in the topics of statistics and probability. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | The student designs a teaching activity using dynamic software, simulations, games, or hands-on materials. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | The student presents the teaching activity they developed for statistics or probability and conducts a peer assessment. | Review of relevant sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | 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 | 6 | 6 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||