Mathematical Problem Solving
Elementary Mathematics Education
Faculty of Education
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematical Problem Solving | IMO404 | Compulsory | Bachelor's degree | 4 | Spring | 4 |
Name of Lecturer(s)
Associate Prof. Dr. Yasemin KATRANCI
Learning Outcomes of the Course Unit
1) Know the concept of problem and types of problem
2) Know problem-solving
3) Know importance of problem-solving teaching
4) Follow recent developments in problem-solving
5) Know strategies of mathematical problem-solving and importance of representations in problem-solving
6) Solve problems that can be solved with different problem-solving strategies
7) Know evaluation of problem-solving
8) Know models of problem-solving process
9) Know metacognition and creativity in problem-solving
10) Know technology uses in problem-solving
11) Know the relationship between problem-solving and -posing
12) Know the recent developments about problem-solving
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 2 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 3 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 4 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 5 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 6 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 7 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 8 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 9 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 10 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 11 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
| 12 | High | High | High | High | Low | High | High | High | Low | High | Low | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Mathematical Problem-Posing
Course Contents
1. Problem and types of problem 2. Problem-solving 3. The importance of teaching problem-solving 4. Recent developments in problem-solving 5. Mathematical problem-solving strategies and the importance of representations in problem-solving 6. Examples of problems that can be solved with different problem-solving strategies 7. Evaluation of problem-solving
Weekly Schedule
1) Types of mathematical problems2) The nature, purpose, and importance of mathematical problem-solving
3) Teaching mathematics through problem-solving
4) Mathematical problem-solving strategies
5) Mathematical problem-solving strategies
6) Examples of problems that can be solved with different problem-solving strategies
7) Models for the problem-solving process
8) Midterm exam
9) Metacognition in mathematical problem-solving
10) Creativity in mathematical problem-solving
11) The role of representations in mathematical problem-solving
12) Technology supported problem-solving
13) The relationship between problem-solving and problem-posing
14) Recent developments in problem-solving
15) Evaluation of problem-solving
16) Final exam
Recommended or Required Reading
1- Altun, M. (2015). Ortaokullarda matematik öğretimi. Bursa: Aktüel Yayınları.
2- Posamentier, A. S., & Krulik, S. (2019). Matematikte problem çözme (3-6. sınıflar için) (Çev. L. Akgün, T., Kar, & M. F. Öçal). Ankara: Pegem Akademi.
3- Posamentier, A., S., & Krulik, S. (2020). Etkili ve yaratıcı çözümler için problem çözme stratejileri 6-12. sınıflar: Matematik öğretmeni için bir kaynak (Çev. L. Akgün). Ankara: Pegem Akademi.
4- Özgen, K., Kar, T:, Çenberci, S., & Zengin, Y. (Eds.) (2023). Matematikte problem çözme ve problem kurma. Ankara: Pegem Akademi.
5- Yazgan, Y., & Arslan, Ç. (2020). Matematiksel sıradışı problem çözme stratejileri ve örnekleri. Ankara: Pegem Akademi.
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Group Study
4) Brain Storming
5) Problem Solving
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
50% |
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Contribution of Final Examination to Course Grade |
50% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required