Foreword Preface Acknowledgements Introduction Part I. Definition 1. A Perspective on Spatial Sense Permission to Move Freely Compositions and Decompositions of Shapes Symmetry Is Spatial, Not One-Half Keep in Mind 2. The Vocabulary Clues Are in the Words Prefix Power for Polygons and Polyhedra Vocabulary Ancestry Keep in Mind 3. Sorting and Classifying the Symbols of Space Arrangement-Driven Vocabulary Measurement-Driven Vocabulary Mixing the Arrangements and Measurements for Names Keep in Mind Part II. Organization 4. Ribbons, Rolls, and Rulers for the First Dimension Transitioning from Zero Dimension to One Dimension The Rolls of Circumferences and Perimeters Diagonals, Diameters, Radii (Radians), and More Straight Pieces Heights, Altitudes, Apothems, and Legs Keep in Mind 5. Angle Swings and Area Squares in Flatland Angles Are at the Entry Gate to Flatland Areas as Spatial Arrangements Permission to Surround and Rearrange Shapes to Find Areas Keep in Mind 6.

Stack and Pour to Fill Volume in Spaceland Polyhedra Nets Make Three Dimensions From Two Dimensions Surface Areas, Polyhedra Nets, and Orange Peels Fill 'er Up for Volume Keep in Mind Part III. Relationships and Patterns 7. Similarity and Congruence Similarity Allows Stretching and Shrinking Congruence, Transformations, and Tessellations Symmetry as a Matter of Congruence Keep in Mind 8. Special Spatial, Yet Irrational, Patterns Pi , , and 3.141592654. - From Archimedes to Supercomputers Phi , f, and 1.618. - Beauty in the Golden Ratio The Limit of e and 2.

71826. - A Curious Number with Curious Cousins Eccentricity e - A Circle Decider Keep in Mind 9. Shape Changes and Patterns Same Perimeters, Same Areas, Different Polygons Similar Shapes and Side Changes Predict Areas and Perimeters Dots, Vertices, Spaces, and Faces Keep in Mind Part IV. Connections 10. The Influential Right Triangle Shadows, Right Triangles, and Proportions The Pythagorean Theorem: A Relationship of Sides Trigonometry: A Relationship Between Sides and Angles Keep in Mind 11. A Circle's Nobility Angles and Triangles Under Circle Control Circle Relationships and Algebra Transformations Return of the Apothems for Polygon Areas Diameters, Diagonals, and Ratios Revisited Keep in Mind 12. From Figures to Scale Models, Then on to Calculus Connections Shapes As Figured Numbers and Algebra Written Geometry Through Keeping Records Triangulation, Scale Models, and Similar Triangles A Gentle Connection to Calculus Keep in Mind Conclusion: What Parents Can Do The Best Strategy is a Team Strategy A Visual-Spatial Parent and Child Story Support Your Child's Strengths Four Possible Math Profiles to Consider Keep in Mind Glossary References About the Author.