Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
To be able to use problem solving in mathematics teaching according to aims and to prepare rich learning environments with problem based learning
Course Content
Problem and problem solving, types of problems, the importance of problem-solving instruction, recent developments in problem-solving, mathematical problem-solving strategies and the importance of multiple representations in problem-solving; examples of problems that can be solved by different problem-solving strategies, evaluation of problem-solving; definition of the problem, process, properties and importance, problem-posing classifications, problem-posing strategies, different problem posing studies; problem-solving in secondary school mathematics curriculum and textbooks; evaluation of problems.
Required Resources
Baykul, Y. (2017). Ortaokulda matematik öğretimi (5-8. sınflar). Pegem Atıf İndeksi, 1-550.
Baki, A. (2018). Matematiği öğretme bilgisi. Pegem Atıf İndeksi, 001-360.
Altun, M. (2015). Eğitim fakülteleri ve sınıf öğretmenleri için matematik öğretimi. 19. baskı.Alfa Yayıncılık, Ankara.
Recommended Resources
Nasıl çözmeli, George Polya (Çeviren: F.Halatçı), Sistem Yayıncılık, 1997. Problem solving strategies, crossing the river with dogs, T.Herr, K.Johnson, Key Curriculum Press, 1994. Problem-Solving strategies for efficient and elegant solutions,
A.S.Posamentier, S.Krulik, Corwin Press, 1998. Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press.
Course Learning Outcomes
- Teacher candidates examine different approaches to problem solving in mathematics teaching.
- Recognize problem types and problem solving strategies
- Designs problem-based learning and course design for different learning areas.
- Apply alternative measurement and evaluation techniques in problem solving.
- Knowing the process of problem use in teaching.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 16 | 1 | 16 |
| Midterm | 0 | 0 | 0 |
| Quiz | 0 | 0 | 0 |
| Assignment | 14 | 2 | 28 |
| Practice | 0 | 0 | 0 |
| Final | 0 | 0 | 0 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | What is problem and problem solving? What should be a good problem? | Compulsory Source, Part 4 |
| 2 | The importance of problem solving in current mathematics curriculum and examination of the achievements of problem solving and construction. | Compulsory Source, Part 4 |
| 3 | The purpose of problem solving in mathematics education according to the historical development and types of problems | Compulsory Source, Part 4 |
| 4 | Non-routine problems and problem solving strategies | Second Compulsory Source, Part 5 |
| 5 | Examination of the problems that can be solved by the backward working strategy | Second Compulsory Source, Part 5 |
| 6 | Examining the problems that can be solved with the Equation Posing Strategy | Compulsory Source, Part 4 |
| 7 | Examination of the problems related to the Pattern Development Strategy, Investigation of the effects of patterns on Algebraic thinking structure | Auxiliary source |
| 8 | Midterm | Exam Preparation |
| 9 | Simple and Similar Problems Examination of problems related to solving strategy | Third Compulsory Source, Part 4 |
| 10 | Drawing the drawing and examining the problems related to focus strategies from a different point of view | Third compulsory source, part 4 |
| 11 | Importance of problem based learning according to changing paradigm | http://adudspace.adu.edu.tr:8080/xmlui/bitstream/handle/11607/2760/20_2011_oksuz_uca.pdf?sequence=1&isAllowed=y Matematik Dersinde Probleme Dayalı Öğrenme Üzerine Bir Örnek Olay |
| 12 | Problems related to learning areas to explore concepts in problem based learning | Article Reading: Matematik Öğretmen Adaylarının Matematiksel Problem Kurma ve Problem Çözme Becerilerinin Belirlenmesi. |
| 13 | Problems related to learning areas to explore concepts in problem based learning | Article Reading: Matematik Öğretmen Adaylarının Matematiksel Problem Kurma ve Problem Çözme Becerilerinin Belirlenmesi. |
| 14 | Solutions of Complex problems | Article reading: Creativity and Mathematics Education |
| 15 | Problem posing strategies | Thesis review related to problem posing |
| 16 | Final | An overview |