Information Package

Ph.D. on Primary School Mathematics Education

MTE736

MATHEMATICAL THINKING SKILS

Course Code
MTE736
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelDoctorate Of Science
Year of Study-
Semester-
ECTS10
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Explains the fundamental concepts related to mathematical skills and cognition
  2. Relates mathematical process skills to problem-solving processes
  3. Evaluates cognitive strategies, decision-making, and types of mathematical knowledge through examples
  4. Relate mathematical thinking skills with mathematical subjects
  5. Can follow research studies and projects related to mathematical thinking and cognitive processes
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionMathematical skills and cognition; process skills and problem solving; logical reasoning; cognitive theories and strategic decision-making; types of mathematical knowledge; metacognition and metacognitive skills; skill-development-oriented practices; reviewing relevant research and developing a research proposal.
Course Contents
WEEK TOPICS
1st Week Fundamental concepts of mathematical skills and cognition
2nd Week Mathematical process skills
3rd Week Mathematical problem solving
4th Week Logical reasoning skills
5th Week Mathematics education and cognitive theories
6th Week Cognitive strategies and decision-making
7th Week Types of mathematical knowledge
8th Week Midterm exam week
9th Week Metacognition
10th Week Metacognitive theory
11th Week Developing metacognitive skills in mathematics
12th Week Developing problem-solving processes and process skills
13th Week Reviewing research on mathematical skills and metacognition
14th Week Designing a research proposal
15th Week Designing a research proposal
Recommended or Required ReadingIsoda, M & Katagiri, S. (2012). Mathematical Thinking: How to Develop it in the Classroom. Monographs on Lesson Study for Teaching Mathematics and Sciences: Volume 1
Research articles on mathematical thinking skills
Planned Learning Activities and Teaching Methods
  • Discussion
  • Presentation
  • Project
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 40
Total(%) 40
Contribution of In-term Studies to Overall Grade(%) 40
Contribution of Final Examination to Overall Grade(%) 60
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam
Preparation for Quiz
Individual or group work 14 10 140
Preparation for Final exam
Course hours 14 3 42
Preparation for Midterm exam
Laboratory (including preparation)
Final exam
Homework 1 30 30
Presentation (including preperation) 2 3 6
Project 1 70 70
Total Work Load288
Total Work Load / 30 (h)9.6
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4 LO5
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K2 X
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K4 X
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K10 X
K11 X
K12 X