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Exercises in Imagination (Geometry and the Imagination)

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| http://geom.math.uiuc.edu/docs/education/institute91/handouts/node20.html | |
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| Conway, Doyle, Gilman, Thurston; The Geometry Center | |
| 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). | |
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| 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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