Information Package

Elementary Mathematics Education Program

EMT440

PROBLEM SOLVING IN MATHEMATICS

Course Code
EMT440
Semester
-
Theory+Practice
3 + 0
ECTS
4
Course TypeElective Course
Course LevelBachelor's Degree
Year of Study-
Semester-
ECTS4
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Make definition of problem solving in mathematics by underlying the process emphasis.
  2. Differentiate the types of problems.
  3. Follow up current academic researches related to problem solving.
  4. Use appropriate problem solving strategies for problem solving.
  5. Solve non-routine mathematical problems based on collaboration.
  6. Use mathematical thinking skills to solve mathematical problems.
  7. Learn the importance of posing a problem.
  8. Know where the problem posing is in the curriculum.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNo
Course DescriptionThe course content includes the following topics: mathematical error, difficulty and misconception, types of misconceptions, mathematical concepts and common misconceptions related to these concepts in the literature; questioning techniques to reveal the thinking processes of middle school students, producing solutions for misconceptions according to the characteristics of the subject area and individual differences of students, using technology for conceptual understanding, misconception detection in measurement and evaluation will be discussed.
Course Contents
WEEK TOPICS
1st Week Problem and problem solving definitions (theoretical perspective)
2nd Week Problem types
3rd Week Importance of problem solving instruction
4th Week Current approaches to problem solving (review of current academic studies)
5th Week Mathematical problem solving strategies
6th Week Different mathematical problem examples and solution strategies
7th Week Analyzing PISA questions
8th Week Midterm
9th Week Evaluation of problem solving
10th Week Mathematical thinking methods and reasoning required in problem solving
11th Week Mathematical thinking methods and modeling for problem solving
12th Week Definition, process, characteristics and importance of problem formulation
13th Week Problem forming classifications, problem forming strategies, making different problem forming studies
14th Week Problem solving in secondary school mathematics curriculum and textbooks; evaluation of problem solving
15th Week General review
Recommended or Required ReadingAltun, M. (2008). Eğitim fakülteleri ve sınıf öğretmenleri için matematik öğretimi. 14. Baskı, Bursa: Aktüel.
Baykul, Y. (2005). İlkokulda matematik öğretimi. Yeni Programa uygun geliştirilmiş baskı. Ankara: Pegem Akademi.
MEB (2018), 1-8. Sınıflar Matematik Öğretim Programı
Posamentier, A.S., Krulik, S. (2016). Matematikte problem çözme, 3-6. sınıflar için. (L. Akgün, T. Kar, M.F. Öçal, Çev.) Ankara: Pegem Akademi.
Olkun, S., Toluk-Uçar, Z. (2004). Matematik öğretimi. Ankara: Anı Yayıncılık.
Van De Walle, J. (2012). İlkokul ve ortaokul matematiği (S.Durmuş, Çev.Ed.). Ankara: Nobel Yayıncılık.
Yıldızlar, M. (2012). Yapılandırmacı öğretimde matematik problemlerini çözebilme yöntemleri. Ankara: Pegem Akademi
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
  • Project
  • Other
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 20
Practice 1 40
Total(%) 20
Contribution of In-term Studies to Overall Grade(%) 20
Contribution of Final Examination to Overall Grade(%) 80
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz
Individual or group work 13 3 39
Preparation for Final exam 1 20 20
Course hours 13 3 39
Preparation for Midterm exam 1 12 12
Laboratory (including preparation)
Final exam 1 2 2
Homework
Performance Practice 1 5 5
Total Work Load119
Total Work Load / 30 (h)3.96
ECTS Credit of the Course4
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8
K1 X X X X X X X X
K2 X X X X X X X X
K3
K4
K5 X X
K6
K7 X X X X X X X X
K8
K9
K10