| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| - | MTÖ405 | 7. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) |
ŞAHİN DANİŞMAN |
| Assistants | |
| Goals | Make prospective teachers have knowledge about making deductions, defending the validity of propositions, making generalizations, configuring strategies using logical patterns and make them use logical reasoning processes effectively and aright. |
| 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. |
| Learning Outcomes |
- Knows about deduction and reasoning processes. - Makes generalizations through different thinking processes. - Analyses a mathematical situation by using and explaining patterns and relationships. - Makes estimations about the results of operations and measurements by rounding offs. - Makes estimations about the results of operations and measurements by grouping proper numbers. - Makes estimations about the results of operations and measurements by using the first and last digits. - Makes estimations about the results of operations and measurements by using his/her own strategies. - Makes estimations regarding a reference point related to measurement. - Offers a micro teaching instructional design about logical reasoning process in middle school mathematics. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic concepts of reasoning | Course Hours Verbal Expression |
| 2. Week | Defending the truth and validity of the implications. | Course Hours Other Activities Verbal Expression |
| 2. Week | Making sensible generalizations and making inferences | Verbal Expression Other Activities Course Hours |
| 4. Week | The role of patterns and relationships in reasoning | Other Activities Course Hours Verbal Expression |
| 5. Week | Strategies used in reasoning. | Visual Presentation Verbal Expression Other Activities Course Hours |
| 6. Week | Making assumptions and types of reasoning | Verbal Expression Course Hours Other Activities |
| 7. Week | Inductive and deductive reasoning | Verbal Expression Course Hours Other Activities |
| 8. Week | MIDTERM | |
| 9. Week | Proportional and probabilistic reasoning | Course Hours Other Activities Verbal Expression |
| 10. Week | Defective reasoning. | Course Hours Verbal Expression Other Activities |
| 11. Week | Reasoning in mind games | Other Activities Verbal Expression Course Hours |
| 12. Week | Reasoning in mind games | Course Hours Verbal Expression Other Activities |
| 13. Week | Understanding and interpreting students’ reasoning about the subjects | Verbal Expression Other Activities Visual Presentation Course Hours Research |
| 14. Week | Examining of students’ difficulties and mistakes related to the concepts | Course Hours Other Activities Research Preparation, After Class Study Verbal Expression Visual Presentation |
| Matematiksel Düşünme, Cemal Yıldırım, Remzi Kitabevi. |
| Matematik Yaramazdır-Akıl Yürütme, Mantık ve Matematik, Ahmet Doğan, Bilim ve Gelecek Kitaplığı |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY17 | 5 | 3 | 4 | 5 | 3 | 3 | 3 | 3 | 5 | 4 | - |
| PY18 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | - |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 13 | 2 | 26 |
| Preparation, After Class Study | 6 | 3 | 18 |
| Research | 3 | 2 | 6 |
| Other Activities | 1 | 3 | 3 |
| Midterm 1 | 1 | 10 | 10 |
| Homework 1 | 1 | 3 | 3 |
| Final | 1 | 10.5 | 10.5 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
