Cryptology In Mathematics Education
Elementary Mathematics Teaching
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Cryptology In Mathematics Education | MTO115 | Elective | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Yasemin KATRANCI
Learning Outcomes of the Course Unit
1) Knows the concepts of encryption, cipher text, decryption and decryption.
2) Knows the history of encryption.
3) Knows encryption types and activities.
4) Knows encryption activities in mathematics.
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| Learning Outcomes | |||||||||||
| 1 | High | Middle | No relation | No relation | High | High | High | No relation | High | High | |
| 2 | High | Middle | No relation | No relation | High | High | High | No relation | High | High | |
| 3 | High | Middle | No relation | No relation | High | High | High | No relation | High | High | |
| 4 | High | Middle | No relation | No relation | High | High | High | No relation | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
NL
Course Contents
1. Definitions of the concepts of encryption cipher text, decryption and decryption. 2. The difference between encryption and encoding. 3. History of encryption. 4. Various encryption systems (such as Translation encryption, Affine encryption, etc.). 5. Use of encryption systems in mathematics lessons.
Weekly Schedule
1) The concept of encryption, the basis of encryption, its history and the difference between encryption and coding2) Shift encryption (Linear encryption) and its activities
3) Affine encryption and its activities
4) Permutation encryption and its activities
5) String encryption and events
6) Hill’s encryption-I and its activities
7) Vigenere encryption and its activities
8) Matrix encryption and its activities
9) Hill’s encryption-II and its activities
10) RSA encryption and its activities
11) Trapdoor-Knapsacks’ encryption and its activities
12) H (Hashing) functions its activities
13) Diffie-Hellmann problem and its activities
14) Examination of various application examples
15) Final Exam
Recommended or Required Reading
1- Lunde, P. (Ed.) (2013).Şifreler kitabı. İstanbul: NTV Yayınları.
2- Ural, N., & Örenç, Ö. (Eds.) (2017). Uygulamalı şifreleme ve şifre çözme yöntemleri. İstanbul: Pusula Yayıncılık.
3- Ders notları
4- İlgili makale ve tezler
Planned Learning Activities and Teaching Methods
1) Lecture
2) Discussion
3) Drill and Practice
4) Group Study
5) Brain Storming
6) Self Study
7) Problem Solving
Assessment Methods and Criteria
Number |
Percentage |
|
|---|---|---|
Contribution of Quiz to Course Grade |
4 |
40% |
Contribution of Final Examination to Course Grade |
1 |
60% |
Total |
100% |
|
Language of Instruction
Turkish
Work Placement(s)
Not Required