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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATS317 |
| Name | Proof and Logical Reasoning in Mathematics Teaching |
| Term | 2025-2026 Academic Year |
| Semester | 5. 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. PERİHAN ARTUT |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
To ensure that prospective teachers have knowledge of what logical reasoning is and how to develop it.
Course Content
Defending the accuracy and validity of deductions, offering legitimate generalizations and deductions; using and explaining mathematical patterns and relations while analysing a mathematical situation; making estimations about the results of operations and measurements by using strategies like rounding off, grouping proper numbers, using first and last digits or by using their own strategies; making estimations regarding a reference point related to measurement.
Course Precondition
none
Resources
Emrullah Erdem (2002) Mantıksal Akıl Yürütme, PegemA
Notes
https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains mathematical reasoning |
| LO02 | Prepares activities for the development of reasoning skills |
| LO03 | Applies the principles of reasoning. |
| LO04 | Applies reasoning strategies |
| LO05 | Explains algebraic reasoning. |
| LO06 | Explains geometric reasoning. |
| LO07 | Evaluates probabilistic and statistical reasoning. |
| LO08 | Explaining the principles of reasoning. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 2 |
| 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. | 3 |
| 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. | 3 |
| 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. | |
| 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 history of reasoning and Socrates's view of reasoning | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 2 | Plato and Aristotle's point of view on reasoning Principles of reasoning | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 3 | Mathematical reasoning and approaches (based on induction and deduction) | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 4 | Reasoning skills-defend the validity and validity of inferences | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 5 | Reasoning skills - in logical generalizations and inferences | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 6 | Reasoning skills - analyzing the mathematical situation | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 7 | Reasoning skills - creating and making decisions | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Examination of relevant resources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Reasoning skills - using predictions and problem solving strategies | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 10 | Algebraic and proportional reasoning | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 11 | Geometric reasoning | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 12 | Olasılıksal ve istatistiksel akıl yürütme | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 13 | Preparing activities for algebric reasoning. | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 14 | Preparing activities for geometric reasoning. | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 15 | Preparing activities for probabilistic and statistical reasoning. | Examination of relevant resources | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | prepare to exam | Ölçme Yöntemleri: Yazılı Sınav, Performans Değerlendirmesi |
| 17 | Term Exams | prepare to exam | 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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 2 | 2 |
| Final Exam | 1 | 2 | 2 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||