1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF EDUCATION
  3. DEPARTMENT OF MATHEMATICS AND SCIENCE TEACHING DEPARTMENT
  4. 133 ELEMENTARY MATHEMATICS EDUCATION
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
IMO 4001PROBLEM SOLVING IN MATHEMATICS2 + 08th Semester4

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Elective
Course Objective The aim of this lesson is to develop mathematics teacher candidates’ knowledge about problem solving and make them use problem solving in their classroom appropriately.
Course Content Problem and problem solving, types of the problems, the importance of teaching problem solving, recent developments in problem solving, mathematical problem solving strategies and the importance of multiple representations in problem solving; problem examples that can be solved with different problem solving strategies, evaluation of problem solving; definition, process, properties and importance of problem posing, problem posing classifications, problem posing strategies, making different problem setting exercises; problem solving in secondary school mathematics curriculum and textbooks; evaluation of problem posing.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.

COURSE LEARNING OUTCOMES
1Students will be explain what is problem and problem types
2Students will be aware of the place of problem solving in the mathematics curriculum.
3Students will be know problem solving strategies.
4Students will know problem solving processes and be able to use in their teaching.
5Students will know problem posing processes and be able to use in their teaching.
6Students will appreciate the relationship between mathematics and real life.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12PO 13PO 14
LO 00144434335554252
LO 00244434335554252
LO 00344434335554252
LO 00444434335554252
LO 00544434335554252
LO 00644434335554252
Sub Total2424241824181830303024123012
Contribution44434335554252

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14228
Hours for off-the-classroom study (Pre-study, practice)14342
Assignments144
Mid-terms11212
Final examination11818
Total Work Load

ECTS Credit of the Course





104

4
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2026-2027 Fall1EMİNE GAYE ERMEÇ ÇONTAY
Details 2026-2027 Fall2EMİNE GAYE ERMEÇ ÇONTAY


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester Mode of Delivery
IMO 4001 PROBLEM SOLVING IN MATHEMATICS 2 + 0 1 Turkish 2026-2027 Fall Face to Face
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Asts. Prof. Dr. EMİNE GAYE ERMEÇ ÇONTAY germec@pau.edu.tr EGT A0232-02 %70
Goals The aim of this lesson is to develop mathematics teacher candidates’ knowledge about problem solving and make them use problem solving in their classroom appropriately.
Content Problem and problem solving, types of the problems, the importance of teaching problem solving, recent developments in problem solving, mathematical problem solving strategies and the importance of multiple representations in problem solving; problem examples that can be solved with different problem solving strategies, evaluation of problem solving; definition, process, properties and importance of problem posing, problem posing classifications, problem posing strategies, making different problem setting exercises; problem solving in secondary school mathematics curriculum and textbooks; evaluation of problem posing.
Topics
WeeksTopics
1 Introduction of course content and course expectations, Introduction of resources, what is the problem? Differences between example, exercise and problem
2 What is a problem and problem solving? What should a good problem be like? Problem content, characteristics, context Problem solving process
3 Polya problem solving steps and strategies What is a problem and problem solving? What should a good problem be like? Problem content, characteristics, context
4 Purposes of use and types of problems in mathematics education according to the historical development of problem solving.
5 Problem-Based Instruction Kilic (2016) Teaching with Van de Walle Problem Solving (Part 3) Problem solving strategies (equation formation strategy, relation and pattern formation strategy)
6 Problem solving strategies (systematic list preparation, trying all possibilities and working backwards strategy)
7 Teaching through problem solving and examining the NCTM (2000) problem solving standard
8 MidTerm Exam
9 Problem solving strategies (organizing data, preparing lists, tables or charts, and role-playing or simulation strategies)
10 Problem Types Foong's Schematic Classification of Mathematical Problems and examples related to this classification and an introduction to problem posing
11 Problem Posing and Problem Posing Strategies
12 Problem Posing and Problem Posing Strategies
13 The importance of problem solving in the current mathematics curriculum and the examination of the achievements of problem solving and posing.
14 Discussions on planning and implementation of problem-based lessons
Materials
FileFile NameFile LanguageOriginal File NameAdded Date
Download File egc 2024-2025 güz MATEMATİKTE PROBLEM ÇÖZME.docxTürkçeegc 2024-2025 güz MATEMATİKTE PROBLEM ÇÖZME.docx9.10.2026 16:24:52
Resources
ResourcesResources Language
Nasıl çözmeli, George Polya (Çeviren: F.Halatçı), Sistem Yayıncılık, 1997.Türkçe
Akay, H. (2006). Problem Kurma Yaklaşımı İle Yapılan Matematik Öğretiminin Öğrencilerin Akademik Başarısı, Problem Çözme Becerisi Ve YaratıcılığıÜzerindeki Etkisinin İncelenmesi, Yayınlanmamış Doktora Tezi, GaziÜniversitesi, Eğitim Bilimleri Enstitüsü, Ankara.Türkçe
Arslan, Ç. Matematiksel Sıradışı problem çözme stratejileri ve örnekleri. Ankara: Pegem YayıncılıkTürkçe
Bingölbali, E., Özmantar, M. F. (2012). İlköğretimde Karşılaşılan Matematiksel Zorluklar ve Çözüm Önerileri, Pegem Akademi, Ankara.Türkçe
Kalaycı, Y. (2014). İlkokul-ortaokul matematik ders ve öğrenci çalışma kitaplarındaki problem kurma etkinliklerinin incelenmesi ve problem kurmaya yönelik öğretmen görüşlerinin belirlenmesi, Yayımlanmamış Yüksek Lisans Tezi, Atatürk Üniversitesi, Eğitim Bilimleri Enstitüsü, Erzurum.Türkçe
Kneeland, S. Problem çözme. Ankara: Gazi Kitabevi.Türkçe
Krulik, S., Posamentier, S. Etkili ve yaratıcı çözümler için problem çözme stratejileri. 6-12. Sınıflar: Matematik öğretmeni için bir kaynak. Ankara: Pegem Akademi YayıncılıkTürkçe
Liljedahl, P, Santos-Trigo, M., Malaspina, U., Bruder, R. Icme 13 Topical surveys, Problem solving in mathematics education, ICME 13,Springer-Open. Türkçe
Posamentier, A.S. matematikte problem çözme, Ankara: Pegem Akademi Yayıncılık.Türkçe
Van De Wale (2012). İlkokul ve Ortaokul Matematiği Gelişimsel Yaklaşımla Öğretim(Çev. Ed. Soner Durmuş), Nobel Akademik Yayıncılık, Ankara.Türkçe
Yazgan, Y. Arslan, Ç. Matematiksel sıradışı problem çözme strateji ve örnekleri. Ankara: Pegem Akademi.Türkçe
Yıldız, Z. (2014). Matematikte Problem Kurma Çalışmalarının Öğretmen AdaylarınınProblem Kurma Becerilerine Ve Üstbilişsel Farkındalık Düzeylerine Etkisi, Yayınlanmamış Doktora Tezi, Marmara Üniversitesi, Eğitim Bilimleri Enstitüsü, İstanbul.Türkçe
Yıldızlar, M. Yapılandırmacı Öğretimde Matematik Problemlerini Çözebilme Yöntemleri, Ankara: Pegem YayıneviTürkçe
Course Assessment
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes