Information Package / Course Catalogue
Geometric Thinking
Course Code: MTE519
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 theories on geometric thinking and will be able to conduct research on geometric thinking.

Course Content

Development of geometric thinking in individuals, models of geometric thinking, working on activities to foster geometric thinking, and literature review on geometric thinking.

Name of Lecturer(s)
Assoc. Prof. Deniz ÖZEN ÜNAL
Learning Outcomes
1.Explains cognitive processes and interactions (between this process) in geometrical activity.
2.Analyze geometric thinking and components for fostering geometric thinking
3.Analyze geometric concepts mathematically and discuss the relationship of these concepts with the real world
4.Will able to evaluate geometry teaching in curriculums
5.To be able to write academically specific to the field.
Recommended or Required Reading
3.Van Hiele, P. M. (1986). Structure and insight: A theory of mathematics education. Academic Pr.
4.Driscoll, M., Wing DiMatteo, R., Nikula, J. ve Egan, M. (2007). Fostering geometric thinking: A guide for teachers grades 5-10. Portsmouth, NH: Heineman.
5.Driscoll, M., Wing DiMatteo, R., Nikula, J., Egan, M., Mark, J. ve Kelemanik, G. (2008). The fostering geometric thinking toolkit. Portsmouth, NH: Heinemann.
6.Clements, D. H., Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp.420-464) New York: Macmillan.
7.Clements, D. H. (2003). Teaching and learning geometry. In J. Kilpatrick, W. G. Martin & D. Schifter (Eds.), Research Companion to Principles and Standards for School Mathematics (pp. 151-178). Reston, VA: National Council of Teachers of Mathematics.
8.Van de Walle, J. A. (2004). Elementary and middle school mathematics: Teaching developmentally. New York: Pearson Education, Inc.
9.Gutiérrez, A. (2014). Geometry. In Andrews, P., Rowland, T. (eds.), MasterClass in mathematics education. International perspectives on teaching and learning (pp. 151-164). London: Bloomsbury.
10.Clements, D. H. (2003). Teaching and learning geometry. In J. Kilpatrick, W. G. Martin & D. Schifter (Eds.), Research Companion to Principles and Standards for School Mathematics (pp. 151-178). Reston, VA: National Council of Teachers of Mathematics.
Weekly Detailed Course Contents
Week 1 - Theoretical
Why we learn geometry? Development of geometric thinking of individuals
Week 2 - Theoretical
What are geometric habits of mind and components? Evaluation of activities in items of geometric habits of mind.
Week 3 - Theoretical
Investigation and evaluation of studies. Geometry learning theories (van Hiele, Piaget )
Week 4 - Theoretical
Investigation and evaluation of studies, the key concepts and Investigation of geometry teaching and learning
Week 5 - Theoretical
Investigation and evaluation of studies, geometric measurements within the framework of mental habits
Week 6 - Theoretical
Reasoning and connection ability in geometric habit of minds
Week 7 - Theoretical
Investigation and evaluation of studies, triangles and the teaching of triangles.
Week 8 - Theoretical
Investigation and evaluation of studies, quadrilaterals and teaching of quadrilaterals, Midterm
Week 9 - Theoretical
Investigation and evaluation of studies, Geometric transformations and teaching of transformations
Week 10 - Theoretical
Investigation and evaluation of studies, Patterns, tessellations, fractals teaching
Week 11 - Theoretical
Investigation and evaluation of studies, Geometric solids and teaching of solids
Week 12 - Theoretical
Investigation and evaluation of studies, Concept of dimension in geometry
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 - Theory150345
Assignment40312
Term Project20816
Reading140684
Individual Work25520
Midterm Examination110111
Final Examination111112
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
4
5
5
5
5
5
5
5
5
5
OÇ-2
5
5
5
4
5
5
5
5
5
5
5
5
5
OÇ-3
5
5
5
4
5
5
5
5
5
5
5
5
5
OÇ-4
5
5
5
3
5
5
5
5
5
5
5
5
5
OÇ-5
4
Adnan Menderes University - Information Package / Course Catalogue
2026