Course Identification

The course will focus on logical, visual, cognitive, and didactic aspects of learning geometry at different age levels. The following issues will be integrated:

• Learning and understanding of geometrical concepts.
• Various kinds of definitions and their strength in creating different kinds of "geometrical worlds".
• Justification and proofs and their role as convincing and explaining means.
• Theories of geometry learning.
• Different geometrical contexts and practices.
• Connections between geometry and other mathematical areas.

Upon successful completion of the course, students should be able to:

1. Describe visual learning processes of basic geometrical concepts advantages and disadvantages and its appropriate teaching ways.
2. Base their teaching on basic theories of geometry teaching and learning.
3. Demonstrate proficiency in basic research works in geometry learning and teaching and repeat basic research works.
4. Get insights into the links which exist between research in geometry education and the practical work of teaching.
5. Use Dynamic Geometry software as a resource for teaching and mathematical problem solving.
6. Recognize aspects of justifying and proving in geometry and hence will know how to plan balanced teaching sequences.
7. Apply different connections within different subjects in geometry between geometry and other mathematical area in their teaching.
8. Lead his/her pupils into diverse geometrical "worlds" by having diverse definitions as starting points.