Teaching Experience(MATH 536)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MATH 536 | Teaching Experience | 1 | 2 | 0 | 0 | 2 | 5 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | Turkish |
| Course Type | Compulsory |
| Course Level | Masters Degree |
| Course Instructor(s) | Meral TOSUN mtosun@gsu.edu.tr (Email) |
| Assistant | |
| Objective | Teachng the history and philosophy of mathematics |
| Content |
Weeks Subjects 1 Platonism 2 Picture proofs 3 4 Hilbert and Gödel 5 Knots and notation 6 What is a definition? 7 Constructive approach 8 Midterm exam 9 10 Computation, proof and 11 How to refute the 12 Calling the bluff 13 14 What is applied mathematics? Proofs, pictures and procedures conjecture continuum hypothesis Euler and his contributions to mathematics Gauss and his contributions to mathematics |
| Course Learning Outcomes |
ÖÇ 1: Having a general knowledge about the history and philosophy of mathematics |
| Teaching and Learning Methods | |
| References |
W. Dunham, Journey through Genius: The Great Theorems of Mathematics, Penguin, 1991 J. R. Brown, Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, Routledge, 2008 |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | 1 Platonism |
| 2 | 2 Picture proofs |
| 3 | What is applied mathematics? |
| 4 | 4 Hilbert and Gödel |
| 5 | 5 Knots and notation |
| 6 | 6 What is a definition? |
| 7 | 7 Constructive approach |
| 8 | 8 Midterm exam |
| 9 | Proofs, pictures and procedures |
| 10 | Computation, proof and conjecture |
| 11 | How to refute the continuum hypothesis |
| 12 | Calling the bluff |
| 13 | Euler and his contributions to mathematics |
| 14 | Gauss and his contributions to mathematics |
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Toplam | 3 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 1 | 10 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 30 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 2 | 40 |
| No | Program Learning Outcomes | Contribution | ||||
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| 1 | 2 | 3 | 4 | 5 | ||
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| 17 | X | |||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 1 | 42 | 42 |
| Working Hours out of Class | 1 | 58 | 58 |
| Final Examinations (including preparation) | 1 | 25 | 25 |
| Total Workload | 125 | ||
| Total Workload / 25 | 5,00 | ||
| Credits ECTS | 5 | ||