# CMEF Spatial Reasoning

### From MathWiki

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[[1] (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 [[2] (
*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.