Strategies for Teaching Fractions

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Author :
Publisher : Corwin Press
ISBN 13 : 1412993989
Total Pages : 249 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Strategies for Teaching Fractions by : David B. Spangler

Download or read book Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: David B. Spangler outlines powerful diagnostic and NCTM- and Common Core State Standards-aligned RTI strategies for analyzing student errors and provides specific interventions for each error pattern.

Teaching Fractions and Ratios for Understanding

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Author :
Publisher : Routledge
ISBN 13 : 1135606781
Total Pages : 254 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Teaching Fractions and Ratios for Understanding by : Susan J. Lamon

Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.

Unpacking Fractions

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Author :
Publisher : ASCD
ISBN 13 : 1416621237
Total Pages : 301 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Unpacking Fractions by : Monica Neagoy

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.

Beyond Pizzas & Pies

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Author :
Publisher : Math Solutions
ISBN 13 : 1935099132
Total Pages : 186 pages
Book Rating : 4.9/5 (35 download)

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Book Synopsis Beyond Pizzas & Pies by : Julie McNamara

Download or read book Beyond Pizzas & Pies written by Julie McNamara and published by Math Solutions. This book was released on 2010 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Strategies for Teaching Whole Number Computation

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Author :
Publisher : Corwin Press
ISBN 13 : 1452296340
Total Pages : 224 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Whole Number Computation by : David B. Spangler

Download or read book Strategies for Teaching Whole Number Computation written by David B. Spangler and published by Corwin Press. This book was released on 2010-06-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through error analysis and targeted instruction, you can uncover students' misconceptions in addition, subtraction, multiplication, and division and help students understand and correct their own mistakes!

Making Sense of Fractions

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Author :
Publisher : CreateSpace
ISBN 13 : 9781514649183
Total Pages : 66 pages
Book Rating : 4.6/5 (491 download)

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Book Synopsis Making Sense of Fractions by : Randy Palisoc

Download or read book Making Sense of Fractions written by Randy Palisoc and published by CreateSpace. This book was released on 2014-08-06 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Unpacking Fractions

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Author :
Publisher : ASCD
ISBN 13 : 1416621253
Total Pages : 301 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Unpacking Fractions by : Monica Neagoy

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.

Strategies for Teaching Fractions

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Author :
Publisher : Corwin Press
ISBN 13 : 1452269610
Total Pages : 248 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Fractions by : David B. Spangler

Download or read book Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more

The Teaching of Fractions

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Author :
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis The Teaching of Fractions by : Edward Wildeman

Download or read book The Teaching of Fractions written by Edward Wildeman and published by . This book was released on 1923 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strategies for Teaching Fractions

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Author :
Publisher : Corwin Press
ISBN 13 : 1452269149
Total Pages : 249 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Fractions by : David B. Spangler

Download or read book Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more

A Focus on Fractions

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Author :
Publisher : Routledge
ISBN 13 : 1317597303
Total Pages : 208 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis A Focus on Fractions by : Marjorie M. Petit

Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2015-07-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Putting Essential Understanding of Fractions Into Practice in Grades 3-5

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Author :
Publisher :
ISBN 13 : 9780873537322
Total Pages : 148 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis Putting Essential Understanding of Fractions Into Practice in Grades 3-5 by : Kathryn Bouchard Chval

Download or read book Putting Essential Understanding of Fractions Into Practice in Grades 3-5 written by Kathryn Bouchard Chval and published by . This book was released on 2013 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

More Teaching Fractions and Ratios for Understanding

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Author :
Publisher : Routledge
ISBN 13 : 1135606706
Total Pages : 172 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis More Teaching Fractions and Ratios for Understanding by : Susan J. Lamon

Download or read book More Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2014-04-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a supplement to the text Teaching Fractions and Ratios for Understanding. It is not merely an answer key, but a resource that includes in-depth discussions of the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes. In the second edition, MORE has been reorganized so that supplementary activities immediately follow the discussions of the activities from the text. Solutions to these supplemental activities have been removed to facilitate the use of MORE in courses. Nevertheless, because the number of activities in each chapter of the text has increased and complete discussions of all of them are provided in MORE, there is ample opportunity to learn reasoning methods.

Fraction Fun

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Author :
Publisher : Holiday House
ISBN 13 : 0823434001
Total Pages : 32 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Fraction Fun by : David A. Adler

Download or read book Fraction Fun written by David A. Adler and published by Holiday House. This book was released on 2015-01-19 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Would you rather eat 1/4 of a pizza or 1/8 of a pizza? Find 3/4 of a dollar or 1/10 of a dollar? Confused? You don't have to be! Fractions are made easy in this simple and hands-on math concept book. You'll learn what the top and bottom numbers are called, and what they mean. You will also find out how to recognize and compare different fractions. Just follow the clear instructions and you will learn the most important thing of all -- that fractions can be fun!

Number Talks

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Author :
Publisher : Math Solutions Publications
ISBN 13 : 9781935099758
Total Pages : 0 pages
Book Rating : 4.0/5 (997 download)

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Book Synopsis Number Talks by : Sherry Parrish

Download or read book Number Talks written by Sherry Parrish and published by Math Solutions Publications. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.

Getting the Buggers to Add Up

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Author :
Publisher : Bloomsbury Publishing
ISBN 13 : 1441122397
Total Pages : 269 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Getting the Buggers to Add Up by : Mike Ollerton

Download or read book Getting the Buggers to Add Up written by Mike Ollerton and published by Bloomsbury Publishing. This book was released on 2012-02-23 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition brings the book right up to date in line with the new Mathematics and Functional Mathematics GCSES and IGCSES.

Computation of Fractions

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Author :
Publisher :
ISBN 13 : 9780205567386
Total Pages : 0 pages
Book Rating : 4.5/5 (673 download)

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Book Synopsis Computation of Fractions by : Bradley S. Witzel

Download or read book Computation of Fractions written by Bradley S. Witzel and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the lack of intervention resources available to middle school teachers to help their struggling students, the authors present this collection of easy-to-implement, research-based lesson plans to help those who struggle with mathematical fractions.