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Author: Randy Palisoc
Publisher: CreateSpace
ISBN: 9781514649183
Category :
Languages : en
Pages : 66
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Book Description
Frustrated with fractions? They're easier than you think. Fractions have been given a bad rap. Understanding fractions is essential in math, yet too many students struggle to make sense of them. Even if students have performed well in math early in elementary school, they seem to hit a brick wall when it comes the "abstract" concepts involved with fractions. This is how Making Sense of Fractions helps. This unit challenges the long-held assumption that fractions are difficult because they're abstract. Fractions are actually more concrete and more logical than most people realize. Making Sense of Fractions helps students make these realizations, and it has a different philosophy from past approaches. This unit explains fractions in a more concrete way that makes logical sense to students (and to adults), making fractions easier to learn than before. Essential concepts include: * Simplifying Fractions * Adding Fractions * Subtracting Fractions * Multiplying Fractions * Dividing Fractions * Improper Fractions and Mixed Numbers * GCF (Greatest Common Factor) and LCM (Lowest Common Multiple)
Author: Randy Palisoc
Publisher: CreateSpace
ISBN: 9781514649183
Category :
Languages : en
Pages : 66
Get Book Here
Book Description
Frustrated with fractions? They're easier than you think. Fractions have been given a bad rap. Understanding fractions is essential in math, yet too many students struggle to make sense of them. Even if students have performed well in math early in elementary school, they seem to hit a brick wall when it comes the "abstract" concepts involved with fractions. This is how Making Sense of Fractions helps. This unit challenges the long-held assumption that fractions are difficult because they're abstract. Fractions are actually more concrete and more logical than most people realize. Making Sense of Fractions helps students make these realizations, and it has a different philosophy from past approaches. This unit explains fractions in a more concrete way that makes logical sense to students (and to adults), making fractions easier to learn than before. Essential concepts include: * Simplifying Fractions * Adding Fractions * Subtracting Fractions * Multiplying Fractions * Dividing Fractions * Improper Fractions and Mixed Numbers * GCF (Greatest Common Factor) and LCM (Lowest Common Multiple)
Author: Julie McNamara
Publisher: Math Solutions Publications
ISBN: 9781935099574
Category : Education
Languages : en
Pages : 240
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Book Description
This resource builds on the foundational understandings that are described inBeyond Pizzas and Pies: 10 Essential Strategies for Supporting Fraction Sense and applies them to situations involving fraction computation. The eight stand-alone chapters are organized within the same friendly, easily accessible framework asBeyond Pizzas and Pies. Each chapter offers classroom activities for investigating the meaning of fractions; fractions as numbers; fraction addition and subtraction; fraction multiplication and division; and classroom discussions on fractions. Activities are connected to the Common Core State Standards and include reproducibles. The accompanying DVD brings to life many of the activities in the book, featuring more than 30 authentic classroom video clips.
Author: Julie McNamara
Publisher: Math Solutions
ISBN: 1935099132
Category : Education
Languages : en
Pages : 186
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Book Description
"This resource combines current research and practical strategies to support teachers in understanding and addressing the most common misconceptions that students have about fractions and presents opportunities to help students investigate, discuss, revise, expand, and refine their understanding of fractions. Includes reproducibles, bibliography, and index"--
Author: Susan B. Empson
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Category : Education
Languages : en
Pages : 0
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Book Description
"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
Author: Bonnie H. Litwiller
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 280
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Book Description
Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.
Author: George W. Bright
Publisher:
ISBN:
Category : Fractions
Languages : en
Pages : 68
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Book Description
Provides sample activities that illustrate basic ideas of proportional reasoning, spanning grades K-12.
Author: Kathryn Bouchard Chval
Publisher:
ISBN: 9780873537322
Category : Fractions
Languages : en
Pages : 148
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Book Description
Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.
Author:
Publisher: Scholastic Inc.
ISBN: 0590437704
Category : Big books
Languages : en
Pages : 44
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Book Description
Food is cut into halves, quarters, and thirds to illustrate how parts make a whole. Simple recipes included.
Author: Randy Palisoc
Publisher: CreateSpace
ISBN: 9781514649091
Category :
Languages : en
Pages : 50
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Book Description
The previous book, 10 Powerful Steps to Multiplication Fluency, explained that multiplication fluency matters because: 1. multiplication is the doorway to algebra, and in turn, 2. algebra is the doorway to higher level math, the sciences, and college and career readiness. Furthermore, the previous book explained that a wide spectrum of skills, including fractions and decimals, are all needed for algebra and that all these skills depend on multiplication. Multiplication unlocks the door to mathematical understanding. If multiplication unlocks to the door to these essential concepts, then division opens that door even wider. In this book, not only will students learn about division (the inverse of multiplication), but they will also learn how an understanding of division leads to an understanding of concepts such as fractions and decimals. Making Sense of Division builds both fluency and conceptual understanding of division, giving students the confidence and skills they need to take learning to the next level.
Author: Marjorie M. Petit
Publisher: Routledge
ISBN: 1317597303
Category : Education
Languages : en
Pages : 208
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Book Description
A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with the knowledge and tools to reveal students’ thinking so that they can modify their teaching and improve student learning of fraction concepts. A Focus on Fractions 2nd edition includes sections on the Common Core State Standards for Mathematics and the Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter as well as a new chapter on the OGAP Fraction Progression and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition. Special Features: Looking Back Questions at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. New sections devoted to the CCSSM and OGAP Fraction Progression are woven throughout the book as well as a new stand alone chapter on the OGAP Fraction Progression. The OGAP Fraction Framework is an all-new eResource, now available as a free download from the book’s website: www.routledge.com/9781138816442.
