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Additional Physical Format: | Online version: Draper, Catheryne. Spatial sense makes math sense. Lanham : Rowman & Littlefield, a wholly owned subsidiary of The Rowman & Littlefield Publishing Group, Inc., [2018] (DLC) 2017047262 |
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Document Type: | Book |

All Authors / Contributors: |
Catheryne Draper |

ISBN: | 9781475834284 1475834284 9781475834291 1475834292 |

OCLC Number: | 1000051146 |

Description: | xix, 149 pages ; 27 cm |

Contents: | ForewordPrefaceAcknowledgementsIntroductionPart I. Definition 1. A Perspective on Spatial SensePermission to Move Freely Compositions and Decompositions of Shapes Symmetry Is Spatial, Not One-HalfKeep in Mind2. 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 NamesKeep in MindPart II. Organization 4. Ribbons, Rolls, and Rulers for the First Dimension Transitioning from Zero Dimension to One DimensionThe Rolls of Circumferences and Perimeters Diagonals, Diameters, Radii (Radians), and More Straight PiecesHeights, Altitudes, Apothems, and Legs Keep in Mind 5. Angle Swings and Area Squares in Flatland Angles Are at the Entry Gate to FlatlandAreas as Spatial ArrangementsPermission to Surround and Rearrange Shapes to Find Areas Keep in Mind 6. Stack and Pour to Fill Volume in SpacelandPolyhedra Nets Make Three Dimensions From Two Dimensions Surface Areas, Polyhedra Nets, and Orange Peels Fill `er Up for VolumeKeep in MindPart III. Relationships and Patterns 7. Similarity and Congruence Similarity Allows Stretching and Shrinking Congruence, Transformations, and TessellationsSymmetry as a Matter of CongruenceKeep 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 Mind9. Shape Changes and Patterns Same Perimeters, Same Areas, Different PolygonsSimilar Shapes and Side Changes Predict Areas and PerimetersDots, Vertices, Spaces, and Faces Keep in MindPart IV. Connections10. 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 Mind11. A Circle's NobilityAngles and Triangles Under Circle ControlCircle Relationships and Algebra TransformationsReturn of the Apothems for Polygon Areas Diameters, Diagonals, and Ratios RevisitedKeep in Mind 12. From Figures to Scale Models, Then on to Calculus ConnectionsShapes As Figured Numbers and AlgebraWritten Geometry Through Keeping Records Triangulation, Scale Models, and Similar Triangles A Gentle Connection to CalculusKeep in Mind Conclusion: What Parents Can DoThe Best Strategy is a Team StrategyA Visual-Spatial Parent and Child StorySupport Your Child's StrengthsFour Possible Math Profiles to Consider Keep in MindGlossaryReferencesAbout the Author |

Responsibility: | Catheryne Draper. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

Spatial Sense Makes Math Sense makes math sound like fun, even though "math" and "fun" have been mutually exclusive categories for my entire life. I clearly recall my frustration as a child, attempting to master multiplication and not getting it. That experience left a life-long negative attitude about math and my ability to master it.I dearly wish Cathy Draper, her skills, her passion, and her determination that all students love, value, and enjoy math, had been part of my math education! Buy this book for a child you love! -- Rita H. Losee, ScD, woman of adventure, doctor of success, proponent of prosperity, author of "Overcoming Trigeminal Neuralgia, The Waist Management Playbook," and "Unlock Your Possibilities: How to Stop Shooting Yourself Down and Selling Yourself Short" Cathy Draper's passion to fight innumeracy is evident in Spatial Sense Makes Math Sense. The book is personable, conversational, and makes sense. It provides a great refresher of geometry and shows how parents can make sense of it to help their children. Each chapter is introduced with a quote that frames the theme of the passage and weaves history with foundational facts to make sense of mathematical theory. Draper has undertaken a remarkable goal by focusing on the support of parents to support the student learner. -- Rudolph Weekes, principal, West Roxbury Academy, Boston Public Schools, father, former headmaster of Academy of Public Service and high school mathematics teacher Designed to help parents help their children with the content and psychology of math, this book focuses on visual models that support "Math Avoiders," and can help them become "Math Aficionados." Catheryne Draper "has been learning from her students for more than half a century" and she shares wisdom and advice for families to rock math homework! The top to-dos include accepting mistakes, trusting your child, and being willing to learn along with them, rather than you learning it first. -- Robin Schwartz, founder, Math Confidence, adjunct professor, Math and Education, College of Mount Saint Vincent Read more...

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