Course Language:
İngilizce
Course Objectives:
The aim of the course is to learn about and practice the important high school mathematics concepts such as sequences, series, limit, derivative and integral.
Course Content:
Studying series and sequences
Limit and its applications
Derivative and its applications
Integral and its applications
Course Methodology:
1. Lecture 2. Case study 3. Discussion 4. Demonstration 5. Group work 6. Microteaching 7. Problem solving
Course Evaluation Methods:
A. Supply type B. Multiple-choice test C. Incomplete D. True-False E. Oral exam F. Portfolio G. Performance type H. Report
Vertical Tabs
Course Learning Outcomes
| Learning Outcomes | Program Outcomes | Teaching Methods | Assessment Methods |
| 1) Makes the definition of sequences, series, limit, derivative and integral and explains them with the examples from daily life. | 1 | 1, 7 | A |
| 2) Explains the historical development of sequences, series, limit, derivative and integral. | 2 | 1, 7 | A, G |
| 3) Explains how sequences, series, limit, derivative and integral relate to different disciplines | 1, 3 | 1, 3, 7 | A, G |
| 4) Solves sequences, series, limit, derivative and integral problems with suitable strategies | 1, 3, 4 | 1, 7 | A |
| 5) Proves sequences, series, limit, derivative and integral theorems that are in high school mathematics curriculum | 1, 4 | 1,7 | A |
Course Flow
| Week | Topics | Study Materials |
| 1 | Introduction | |
| 2 | Sequences and Series | Patterns |
| 3 | Sequences and Series | Patterns |
| 4 | Sequences and Series | Mathematical Induction |
| 5 | Limit | Sequences and Series |
| 6 | Limit | Sequences and Series |
| 7 | Limit | Sequences and Series |
| 8 | Midterm | |
| 9 | Derivative | Limit |
| 10 | Derivative | Limit |
| 11 | Derivative | Limit |
| 12 | Integral | Derivative |
| 13 | Integral | Derivative |
| 14 | Integral | Derivative |
Recommended Sources
| Compulsory | Instructor’s notes |
| Recommended |
1) Smith, K. (2012). The nature of mathematics. 12th edition. Cengage Learning.
2) Maenpaa, M., Owen, J., Haese, M. Haese, R., Haese, S., Humphries, M. (1999). Mathematics for the international student. Mathematics SL second edition for use with IB Diploma. Haese and Harris Publication. Australia. |
Material Sharing
| Documents | |
| Assignments |
|
| Exams |
Assessment
| IN-TERM STUDIES | Quantity | Percentage |
| Midterm | 1 | 30 |
| Classroom Participation | 1 | 15 |
| Final | 1 | 40 |
| Assignment | 3 | 15 |
| Total | 100 | |
| Contribution of Final Exam to Overall Grade | 40 | |
| Contribution of In-term Studies to Overall Grade | 60 | |
| Total | 100 |
| COURSE CATEGORY | Expertise / Field Courses |
Course’s Contribution to Program
| No | Program Outcomes | Level of contribution | ||||
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Has in-depth knowledge about secondary school mathematics and geometry contents | X | ||||
| 2 | Knows historical, cultural and scientific developments of the mathematical and geometrical concepts covered in secondary school mathematics and geometry curriculum | X | ||||
| 3 | Applies fundamental mathematical and geometric concepts into other disciplines and real life situations | X | ||||
| 4 | Applies mathematical processes such as problem solving and proving into given cases correctly | X | ||||
| 5 | Plans mathematics and geometry teaching process in line with the secondary school curriculum’s vision, philosophy and goals | X | ||||
| 6 | Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level | X | ||||
| 7 | Establishes learning environments that encourages students to learn mathematics and geometry | X | ||||
| 8 | Uses and develop appropriate resources and materials to teach mathematics and geometry | X | ||||
| 9 | Monitors students’ learning process, development and achievement and to assess them by using appropriate assessment tools. | X | ||||
| 10 | Improves professional knowledge by following recent issues in mathematics education | X | ||||
| 11 | Contributes to the development of mathematics education by doing scientific research | X | ||||
| 12 | Knows the philosophy, principles, rules and regulations of Turkish Education System | X | ||||
ECTS
| Activities | Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Course hours (including the exam week: 15 x total course) | 15 | 3 | 45 |
| Hours for off-the-classroom study (pre-study, practice) | 15 | 4 | 60 |
| Midterm | 1 | 15 | 15 |
| Quiz | |||
| Assignment | 3 | 4 | 12 |
| Final Exam | 1 | 15 | 15 |
| Total Workload | 147 | ||
| Total Workload / 25 (hours) | 5.8 | ||
| ECTS | 6 |