Unpacking Fractions

Author : Monica Neagoy
Publisher : ASCD
ISBN 13 : 1416621253
Total Pages : 301 pages
Book Rating : 4.56/5 ( download)

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Download or read book Unpacking Fractions written by Monica Neagoy and published by ASCD. This book was released on 2017-03-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Author : Monica Neagoy
Publisher : ASCD
ISBN 13 : 1416621237
Total Pages : 301 pages
Book Rating : 4.32/5 ( download)

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Download or read book Unpacking Fractions written by Monica Neagoy and published by ASCD. This book was released on 2017-03-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it’s imperative for us to take a closer look at how we teach fractions: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of “algebra for all” will not be possible until “fractions for all” is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Author : Eric Magnus Wilmot
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.16/5 ( download)

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Download or read book An Investigation Into the Profile of Ghanaian High School Mathematics Teachers' Knowledge for Teaching Algebra and Its Relationahip with Student Performance written by Eric Magnus Wilmot and published by . This book was released on 2008 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.63/5 ( download)

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Download or read book Digital Technical Journal written by and published by . This book was released on 1990 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Amy J. Hackenberg
Publisher : SAGE
ISBN 13 : 147398761X
Total Pages : 347 pages
Book Rating : 4.16/5 ( download)

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Download or read book Developing Fractions Knowledge written by Amy J. Hackenberg and published by SAGE. This book was released on 2016-07-21 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.

Author : Marian Small
Publisher : Teachers College Press
ISBN 13 : 0807754854
Total Pages : 145 pages
Book Rating : 4.56/5 ( download)

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Download or read book Uncomplicating Fractions to Meet Common Core Standards in Math, K-7 written by Marian Small and published by Teachers College Press. This book was released on 2014 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical "doers." In her new resource, professional developer Marian Small shows teachers how to uncomplicate the teaching of fractions by focusing on the most important fraction ideas that students need to grasp. The book is organized by grade level beginning with Grade 1, where the first relevant standard is found in the geometry domain, and ending with Grade 7, where the focus is on operations with rational numbers and proportional thinking.

Author : Jennifer M. Bay-Williams
Publisher : Corwin
ISBN 13 : 1071818430
Total Pages : 265 pages
Book Rating : 4.35/5 ( download)

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Download or read book Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 written by Jennifer M. Bay-Williams and published by Corwin. This book was released on 2021-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Author : Edward Einhorn
Publisher : Charlesbridge
ISBN 13 : 1607347288
Total Pages : 32 pages
Book Rating : 4.86/5 ( download)

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Download or read book Fractions in Disguise written by Edward Einhorn and published by Charlesbridge. This book was released on 2014-03-25 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crack the case with George Cornelius Factor in this entertaining math adventure that introduces simplified and reduced fractions with equal parts intrigue and humor. When a valuable fraction goes missing, George Cornelius Factor (a.k.a. GCF) vows to track it down. Knowing that the villainous Dr. Brok likes to disguise his ill-gotten fractions, GCF invents a Reducer—half ray gun, half calculator— that strips away the disguise, reducing the fraction to its lowest common denominator and revealing its true form. With the Reducer in hand, George seeks out Dr. Brok in hopes of retrieving the missing fraction. Back matter includes more detail on simplifying, or reducing, fractions.

Author : Karen D. Tollefson
Publisher : AuthorHouse
ISBN 13 : 1477264329
Total Pages : 90 pages
Book Rating : 4.24/5 ( download)

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Download or read book One-Handed Fractions written by Karen D. Tollefson and published by AuthorHouse. This book was released on 2012-09-24 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the older student or adult who is returning to school for a degree, further training, or GED through a review of fractions. Even if you hated fractions, this method will make sense to you and will make doing fractions a breeze.

Author : Susan B. Empson
Publisher : Heinemann Educational Books
ISBN 13 : 9780325030531
Total Pages : 0 pages
Book Rating : 4.37/5 ( download)

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Download or read book Extending Children's Mathematics written by Susan B. Empson and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.