Flatland by Edwin A. Abbot, is a story told from the perspective of a character called the "square." Square describes to the reader his country called Flatland because it is the land of two dimensions. After explaining the social structure of his country, he travels to Lineland (the first dimension) and converses with the king of Lineland, but alas, Square is unable to convince the king of Flatland's existence. Similarly, once Square returns home, a sphere from Spaceland (the third dimension) tries to describe Spaceland. Square is unable to imagine it until the sphere pulls Square into Spaceland. Thus, the adventures of Square is a fun and interesting introduction to dimensions.

Recommended grade level: 7-8.
NCTM content standard: Geometry
Book uses: I would take ten to fifteen minutes a day to read a chapter of this book to the class and together discuss the concepts introduced. There's a plethora of material to discuss: social structures, angles, the relationships between 3-D shapes, 2-D shapes, lines, and points, and social commentaries of the subject of truth and heresy. Students could conceivably write story responses, draw the different lands, but mainly I think this book lends to great and fun mathematical discussions.
Cons: The book is written in an older english dialect. Also, it is heavily sexist in its treatment of females [shapes].