Making Sense Of Fractions
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Making Sense Of Fractions
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Author : Randy Palisoc
language : en
Publisher: CreateSpace
Release Date : 2014-08-06
Making Sense Of Fractions written by Randy Palisoc and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with categories.
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)
Making Sense Of Fractions
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Author : Carol A. Thornton
language : en
Publisher:
Release Date : 1995
Making Sense Of Fractions written by Carol A. Thornton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Fractions categories.
This resource book covers fractions from beginning concepts through comparisons and equivalents.
M3 Mathematics
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Author : Helen Pengelly
language : en
Publisher:
Release Date : 1992
M3 Mathematics written by Helen Pengelly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Fractions categories.
Making Sense Of Division
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Author : Randy Palisoc
language : en
Publisher: CreateSpace
Release Date : 2014-08-06
Making Sense Of Division written by Randy Palisoc and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with categories.
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.
A Focus On Fractions
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Author : Marjorie M. Petit
language : en
Publisher: Routledge
Release Date : 2015-07-24
A Focus On Fractions written by Marjorie M. Petit and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Education categories.
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.
Beyond Invert Multiply Making Sense Of Fraction Computation
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Author : Julie McNamara
language : en
Publisher: Heinemann Educational Books
Release Date : 2022-05-27
Beyond Invert Multiply Making Sense Of Fraction Computation written by Julie McNamara and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-27 with Education categories.
Beyond Invert & Multiply paves the way for success with fraction computation This book builds on the foundational understandings that are described in Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense and applies them to situations involving fraction computation. You'll find: Classroom Scenarios that address common challenges students (and teachers!) encounter as they learn to operate with fractions What's the Math? sections intended to clarify the mathematics What's the Research? insights that show why that's the way we've always done things might not be the most successful approach Classroom Activities with friendly, step-by-step instructions and video clips demonstrating how to teach the concepts Reproducibles that are available in a downloadable format Study Questions at the end of each chapter that encourage readers to set concrete goals for implementing what they've read This resource features more than 30 streaming video clips filmed in actual classrooms so you can see this work in action. When I see teachers and they talk to me about how much Beyond Pizzas & Pies has been a great support to them, the next question is usually, 'When are you going to author a book about computation? My students are starting to have foundational knowledge of fractions but they really have struggles with computation.' In answer to teachers' needs, I'm excited to welcome you to Beyond Invert & Multiply. (Julie McNamara, author of Beyond Invert & Multiply and coauthor of Beyond Pizzas & Pies)
Making Sense Of Fractions Ratios And Proportions
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Author : Bonnie H. Litwiller
language : en
Publisher:
Release Date : 2002
Making Sense Of Fractions Ratios And Proportions written by Bonnie H. Litwiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.
Fair Shares Teacher S Book Artwork
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Author : Susan Hough
language : en
Publisher:
Release Date : 2012-02
Fair Shares Teacher S Book Artwork written by Susan Hough and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02 with Education categories.
Making Sense of Maths is the only series that develops conceptual understanding. This series will motivate, engage and develop the conceptual understanding of students at KS3 and KS4. Students build their own problem solving strategies based on their understanding of the world around them which then support them to tackle functional questions. The Teacher's Book provides support for the activities in the student book which develop the student's understanding of fractions, percentages, ratio and proportion. It also contains answers for the workbook questions which consolidate learning. Making Sense of Maths has been based on Realistic Maths Education (RME) and extensively trialled in KS3 and KS4 classrooms in the UK by a team from Manchester Metropolitan University. - Use alongside existing resources or on its own - Ideal for Year 10s heading for the C/D borderline - Ideal for intervention groups - Supports the move from modular to linear specifications by improving knowledge retention - Provides support for good teaching and learning under the current Ofsted criteria
Putting Essential Understanding Of Fractions Into Practice In Grades 3 5
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Author : Kathryn Bouchard Chval
language : en
Publisher:
Release Date : 2013
Putting Essential Understanding Of Fractions Into Practice In Grades 3 5 written by Kathryn Bouchard Chval and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Fractions categories.
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.
Making Sense Of Mathematics For Teaching Grades 3 5
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Author : Juli K. Dixon
language : en
Publisher: Solution Tree Press
Release Date : 2016-04-11
Making Sense Of Mathematics For Teaching Grades 3 5 written by Juli K. Dixon and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Education categories.
Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals