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Exercises in Imagination (Geometry and the Imagination)

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Visit this site: http://geom.math.uiuc.edu/docs/education/institute91/handouts/node20.html

Author:Conway, Doyle, Gilman, Thurston; The Geometry Center
Description: How do you imagine geometric figures in your head? Most people talk about their three-dimensional imagination as 'visualization', but that isn't exactly right. A visual image is a kind of picture, and it is really two-dimensional. The image you form in your head is more conceptual than a picture - you locate things in more of a three-dimensional model than in a picture. It is quite hard to go from a mental image to a two-dimensional visual picture, but geometric imagery is not just something that you are either born with or you are not; like any other skill, it develops with practice. Included on this page are some examples of images to practice with (though not the images themselves).

Levels: Elementary, Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Higher-Dimensional Geometry, Euclidean Plane Geometry
Math Ed Topics: Visualizations

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