Exercises in Imagination (Geometry and the Imagination)
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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).|
|Levels:||Elementary, Middle School (6-8), High School (9-12), College|
|Resource Types:||Lesson Plans and Activities|
|Math Topics:||Higher-Dimensional Geometry, Euclidean Plane Geometry|
|Math Ed Topics:||Visualizations|
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