|
|
|||
|
||||
OverviewUser-Friendly Numbers in Math for Parents shares stories of students’ reasoning, thinking, and sometimes misunderstandings about numbers - stories that provide the opportunity to see math differently. Most of the students are visual-spatial, creative, daydreamers who may miss the details in math, a characteristic of visual-spatial learners. Through these stories, parents will see mathematics through their child’s eyes, both the clarity and the confusion. Armed with this new sight, and therefore insight, parents will be able to talk differently with their child about the number language of math. By seeing numbers through “new eyes,” children and parents can take control of the math language and therefore, the mathematics. This book focuses more on the “why” reasons behind math number relationships, explained in plain English and with images that show number relationships. By including more images and fewer formulas, readers – especially the visual spatial learners – have a better chance of understanding how number organizers apply to different number types. Recognizing connections among number formats significantly reduces the impatience, frustration, and heartache around homework. Full Product DetailsAuthor: Catheryne DraperPublisher: Bloomsbury Publishing Plc Imprint: Rowman & Littlefield Dimensions: Width: 18.40cm , Height: 1.60cm , Length: 26.30cm Weight: 0.567kg ISBN: 9781475834192ISBN 10: 1475834195 Pages: 158 Publication Date: 08 June 2017 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface Foreword Introduction Part I: Definition 1. Getting a Grip on Number Sense Number Freedom Flexibility Through Composition and Decomposition of Numbers How Counting Can Make or Break Number Sense Ducks, Gauss, and George Keep in Mind 2. The Map of Number Symbol Territory The Shapes of Reading Numbers Is Subitizing About Another Shape to Recognize? Alphabet of Letters and Alphabet of Digits Writing Numbers and Reading Symbolism Keep in Mind 3. An Evolution of Number and Naming Rights Counting (Natural), and Whole Numbers Integers and Other Positive and Negative Absurd Numbers Rational Numbers Include Fractions and Other Number Comparisons Politics of Rational and Unutterable Irrational Numbers Infinity, Googol, and Other Very Large Ideas Keep in Mind Part II: Organization 4. Classify First Three Is Not Red Classification as an Essential Skill Different Classifications Lead to Increased Flexibility Keep in Mind 5. Whence Came Place Value? Digits Continue to be the Alphabet for Numbers Some Cautionary Tales About Learning Place Value Classifying by Size for Place Value Transitioning to Place Value Record-Keeping Charles’ Overlays Decimals Continue the Same Organization, Just Smaller Keep in Mind 6. The Number Line Brings Numbers to Order First, Last, and In Between – The Nature of Order Repetition of Pattern in Sequential Order A Place for Everything Keep in Mind Part III: Relationships and Patterns 7. Pattern Ancestors Repeating Patterns Growing Patterns Ancestors of Figurate Numbers and Other Growing Patterns Patterns Inside EquivalencesExpressing Ancestral Rules as Algebra Relationships Keep in Mind 8. Balance of Relationships and Patterns Flexibility Within Balance Balance in Fraction Equivalences Decimal Numbers Are Connections to the Other Side Finding Patterns With ViewfindersKeep in Mind 9. Number Personalities Even and Odd Numbers Prime and Composite Numbers Positive and Negative Integers Numbers Can Have Multiple Number Personalities Keep in Mind Part IV: Connections 10. Place Value LegaciesExponents and Logarithms Location Matters Reciprocals: A Location and an Inverse Who Moved My Decimal? Keep in Mind 11. Ratio: The Comparison Effect Predicaments Around Understanding Fraction as a Ratio Notation Ratio Pairs Can Make Proportions Percentage: A Location and a Rate Keep in Mind 12. More Order From the Number Line Number Lines Are Everywhere Coordinate Axes More Coordinate Connections Keep in Mind Conclusion: What Parents Can Do Ask Questions Advocate for Number Sense Find Your Math Voice Keep in Mind Glossary References About the AuthorReviewsFor the past 25 years, Cathy Draper and I have engaged in many fascinating conversations focused on teaching and learning math. Two things are clear to me. Cathy has a deep understanding of conceptual and practical math. Cathy, unlike many educators, knows that each human brain assimilates and processes in its own unique way. I have witnessed her analysis and diagnosis of each student , and applauded as she found the unique prescriptive approach needed to help them understand and learn in their own way. She takes math from the linear left-brain to the visual, conceptual right brain and develops an approach that successfully integrates the two into a whole-brain approach. Sharing her lifetime of math experience with us is her gift to the world. -- Mary Ann Grassia, M.Ed, former board member, Math Science Collaborative Project, Salem State University; retired Salem public school teacher Catheryne Draper makes math homework less of a chore and more of a game. She succeeds at this by saying use visuals and use the imagination. The highlight for me was the chapter on Becca's Pattern Ancestors. The two children in my life, at ages four and six, began using Silly Bands to form groupings and create patterns. Years later, they both now understand sequences, and they are working on factoring and quadratic expressions. Catheryne demonstrates through out her book that math can be learned by using visuals and a child's imagination and that there isn't just one method for teaching but to use the method that is most effective for your child. -- Kathy Miles, Mutual fund compliance and product development, NY For the past 25 years, Cathy Draper and I have engaged in many fascinating conversations focused on teaching and learning math. Two things are clear to me. Cathy has a deep understanding of conceptual and practical math. Cathy, unlike many educators, knows that each human brain assimilates and processes in its own unique way. I have witnessed her analysis and diagnosis of each student , and applauded as she found the unique prescriptive approach needed to help them understand and learn in their own way. She takes math from the linear left-brain to the visual, conceptual right brain and develops an approach that successfully integrates the two into a whole-brain approach. Sharing her lifetime of math experience with us is her gift to the world. -- Mary Ann Grassia, M.Ed, former board member, Math Science Collaborative Project, Salem State University; retired Salem public school teacher Catheryne Draper makes math homework less of a chore and more of a game. She succeeds at this by saying use visuals and use the imagination. The highlight for me was the chapter on Becca's Pattern Ancestors. The two children in my life, at ages four and six, began using Silly Bands to form groupings and create patterns. Years later, they both now understand sequences, and they are working on factoring and quadratic expressions. Catheryne demonstrates through out her book that math can be learned by using visuals and a child's imagination and that there isn't just one method for teaching but to use the method that is most effective for your child. -- Kathy Miles, editor, NY Author InformationCatheryne Draper has been learning from her students for over half a century of teaching, supervising the math program in a school district, advising math education at the state level, coaching math in schools, and presenting math workshops for teachers. She is the author of The Algebra Game, a hands-on multi-deck algebra program in four topics covering Linear Graphs, Quadratic Equations, Conic Sections, and Trig Functions that allows students to work together in cooperative groups, or individually, to identify the algebra relationships and patterns in the each topic and in the organization across the topics. In addition to contributing many published articles, Draper is also the author of Winning the Math Homework Challenge: Insights for Parents To See Math Differently. Tab Content 6Author Website:Countries AvailableAll regions |
||||