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 DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
In this course, 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 EXAM
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
RECOMENDED OR REQUIRED READING
Altun, 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