Structuralist Approach for Teaching Geometry:
Using Visual, Hands-on Models to Present Basic but Abstract Ideas
- Presented by: Agida Manizade, Ph.D., Radford University, VA
Click here to watch the video.
Proposed Warm-up Problem:
You are a SUPERWOMAN/SUPERMAN. Imagine one morning you leave your home and start travelling straight ahead.
You travel for a very long time. No matter what gets in your way, you find a way to maintain your direction.
Where will you end up? Describe your path.
The structuralist approach for teaching mathematics, means using series of specific, concrete, intuitively accessible
models to allow learners to explore and to ‘discover’ mathematical strictures through a ‘spiral’ cycle which revisits
key abstract mathematical ideas.
Henderson, D. W., Taimina, D. (2005). Experiencing geometry: Euclidean and non-Euclidean with history, 3rd edition. Cornell University, Ithaca, NY: Pearson Prentice Hall.
Lenart, I. (1996). Non-Euclidean adventures on the Lenart sphere: Investigations in planar and spherical geometry.
Berkeley, CA: Key Curriculum Press.
Dr. Agida Manizade teaching Math 635 using videoconferencing