Information Package / Course Catalogue
Algebraic Thinking
Course Code: MTE520
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

At the end of this course students will gain knowledge about perspectives of algebraic thinking and will be able to conduct research on algebraic thinking.

Course Content

Development of algebraic thinking of individuals, perspectives of geometric thinking, working on activities to foster algebraic thinking, and literature review of algebraic thinking.

Name of Lecturer(s)
Assoc. Prof. Deniz ÖZEN ÜNAL
Learning Outcomes
1.Explain algebra and algebraic thinking.
2.Investigate transition from arithmetic to algebra, quantitative reasoning and the development of algebraic reasoning.
3.Analyze the basic concepts of algebraic thinking.
4.Investigate students' difficulties in algebraic thinking and misconceptions.
5.To be able to write academically specific to the field.
Recommended or Required Reading
1.Driscoll, M. (1999). Fostering Algebraic Thinking: A Guide for Teachers, Grades 6-10. Heinemann, 361 Hanover Street, Portsmouth, NH 03801-3912.
2.Arcavi, A. (1995). Teaching and learning algebra: Past, present, and future. The Journal of Mathematical Behavior, 14(1), 145-162.
3.Kieran, C. (2004). Algebraic thinking in the early grades: What is it. The Mathematics Educator, 8(1), 139-151.
4.Kieran, C. (1992). The learning and teaching of algebra. Handbook of research on mathematics teaching and learning, 390-419.
Weekly Detailed Course Contents
Week 1 - Theoretical
The nature of algebraic thinking, what is algebraic thinking, basic concepts of algebraic thinking
Week 2 - Theoretical
The development of algebraic reasoning
Week 3 - Theoretical
The generalization perspective in the development of algebraic reasoning
Week 4 - Theoretical
The problem solving perspective in the development of algebraic reasoning
Week 5 - Theoretical
The modelling perspective in the development of algebraic reasoning
Week 6 - Theoretical
The modelling perspective in the development of algebraic reasoning
Week 7 - Theoretical
The functional perspective in the development of algebraic reasoning
Week 8 - Theoretical
The functional perspective in the development of algebraic reasoning, Midterm
Week 9 - Theoretical
The use of technology in the development of algebraic reasoning
Week 10 - Theoretical
The student difficulties and misconceptions in the development of algebraic thinking
Week 11 - Theoretical
The student difficulties and misconceptions in the development of algebraic thinking
Week 12 - Theoretical
Investigation and evaluation of studies, evaluations of curriculums
Week 13 - Theoretical
Investigation and evaluation of studies, evaluations of curriculums
Week 14 - Theoretical
Investigation and evaluation of studies, evaluations of curriculums
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1453112
Midterm Examination138240
Final Examination146248
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
5
5
5
5
5
5
5
5
5
4
5
5
4
OÇ-2
5
5
5
5
5
5
5
5
5
4
5
5
4
OÇ-3
5
5
5
4
5
5
5
5
5
4
5
5
4
OÇ-4
5
5
5
4
5
5
5
5
5
4
5
5
4
OÇ-5
4
Adnan Menderes University - Information Package / Course Catalogue
2026