CMEF Spatial Reasoning
Spatial Reasoning Resources:
- Optimizing with Geometric Reasoning which includes links to several activities to take a fresh look at optimizing volumes, areas, etc.
- Geometric Reasoning for Reflections on Conics which gives an elementary geometric reasoning for why conic sections, as loci, have the desired reflective properties.
Transformational Geometry Links
Wilson Strother's geometry pages[ (http://www.maths.gla.ac.uk/~wws/cabripages/cabri0.html)] organized around Klein's definition of geometry and various groups of transformation.
- Look, for example, at the pages on Affine Geometry [ (http://www.maths.gla.ac.uk/~wws/cabripages/klein/affine00.html)]
Are there good sequences of problem solving materials that support the use of transformational reasoning?
- Consider the three volume work of Yaglom: Geometric Transformations I, II, III, IV which are problems, and solutions, designed for advanced high school students. I recommend them - particularly when used with a companion dynamic geometry program.