| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Teaching Numbers | MTÖ301 | 5. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Distance Education |
| Course Coordinator |
Assist. Prof. Dr. Duygu ARABACI |
| Instructor(s) |
ŞAHİN DANİŞMAN |
| Assistants | |
| Goals | Teaching numerical systems, various number sets and teaching basic concepts related to these subjects; identifying the misconceptions related to these subjects and proposing solutions for these difficulties. |
| Course Content | Setting number system, natural numbers, operations in natural numbers, numbers with different bases, integers, multipliers and folds, divisibility rules, LCM and GCD concepts and their applications; Ratio, proportion concepts and their applications; Real numbers, exponents and radicals, fractions, decimals, percentages; Rational and irrational numbers; Teaching basic concepts about sets (organizing course content - using appropriate teaching materials and strategies, etc.); Student knowledge about these subjects (understanding, interpretation, student difficulties, mistakes, misconceptions and causes of students thinking about concepts); Relating the topics with daily life and other lessons. |
| Learning Outcomes |
- Students will learn the basic features of various number clusters and their relations with each other. - Students will perform the applications of LCM and GCD; rate and proportion subjects. - Students will learn how to teach basic topics about sets. - Students will identify the misconceptions that may arise in the students related to the topic of numbers and make suggestions for solutions. - Students will establish the relationship between everyday life and other subjects with the basic concepts of numbers subject. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Setting number system, natural numbers, operations in natural numbers, numbers with different bases | Course Hours Visual Presentation Verbal Expression |
| 2. Week | Multipliers and folds, divisibility rules | Visual Presentation Verbal Expression Course Hours |
| 3. Week | LCM and GCD concepts and their applications | Course Hours Verbal Expression Visual Presentation |
| 4. Week | Ratio, proportion concepts and their applications | Visual Presentation Course Hours Verbal Expression |
| 5. Week | Real numbers, exponents and radicals | Course Hours Visual Presentation Verbal Expression |
| 6. Week | Fractions, decimals, percentages | Visual Presentation Course Hours Verbal Expression |
| 7. Week | Rational and irrational numbers | Course Hours Visual Presentation Verbal Expression |
| 8. Week | Midterm | |
| 9. Week | Designing the course content related to teaching basic concepts about sets | Course Hours Visual Presentation Verbal Expression |
| 10. Week | Using teaching materials and strategies related to set | Course Hours Verbal Expression |
| 11. Week | Understanding and interpreting students’ reasoning about the subjects in this course | Visual Presentation Verbal Expression Course Hours |
| 12. Week | Examining of students’ difficulties and mistakes related to the concepts in this course | Course Hours Verbal Expression Visual Presentation |
| 13. Week | Investigating the misconceptions of teaching numbers and its reasons | Verbal Expression Course Hours Visual Presentation |
| 14. Week | Final | Visual Presentation Course Hours Verbal Expression |
| Matematik Öğretiminin Temelleri, G. Hacıömeroğlu, K. Tarım, Anı Yayıncılık. |
| Ortaokulda Matematik Öğretimi ( 5 - 8. Sınıflar ), Yaşar Baykul, Pegem. |
| İlkokul ve Ortaokul Matematiği, John A. Van De Walle, Karen S. Karp, Jennifer M. Bay, Williams, Nobel Akademik Yayıncılık. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY3 | 5 | 0 | 0 | 5 | 0 | 4 | - |
| PY6 | 4 | 0 | 5 | 4 | 4 | 0 | - |
| 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 | 14 | 3 | 42 |
| Preparation, After Class Study | 6 | 3 | 18 |
| Research | 6 | 1 | 6 |
| Midterm 1 | 1 | 11.5 | 11.5 |
| Homework 1 | 1 | 20 | 20 |
| Homework 2 | 1 | 10 | 10 |
| Final | 1 | 20 | 20 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
