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Seeing Fractions
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Book Synopsis Seeing Fractions by : Rebecca B. Corwin
Download or read book Seeing Fractions written by Rebecca B. Corwin and published by Hippocrene Books. This book was released on 1991 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what students will be expected to learn, a discussion of the teaching and learning theory of constructing mathematical models that is advocated in this unit, and a discussion of teaching techniques that indicate the use of manipulatives, small-group work, homework, parent communication, and the teacher's role in the classroom. The remainder of the unit is organized into five modules, each of which focuses on a different context for exploring fractions. Each module requires between five and seven class sessions, and includes the following components: an overview of the module; plans for each class session that break up each module into manageable segments with accompanying activities; teacher notes that draw on observations of students' strategies, approaches, difficulties, and confusions; and dialogue boxes that give examples of conversations in which students attempt to express their understanding of key mathematical ideas. The modules are: (1) Geometry with Fractions; (2) Rates--A Different Model; (3) Sharing Cookies; (4) Making and Using Fraction Strips; and (5) Using Fractions to Compare Data. The final section discusses assessment alternatives for the unit. Student worksheets in English and in Spanish are interpersed in the text. (MDH)
Download or read book Eating Fractions written by and published by Scholastic Inc.. This book was released on 1991 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Food is cut into halves, quarters, and thirds to illustrate how parts make a whole. Simple recipes included.
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.
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.
Book Synopsis Developing Fractions Knowledge by : Amy J. Hackenberg
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 225 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.
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 Taylor & Francis. This book was released on 2022-07-29 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
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.
Book Synopsis Fractions & Decimals - Grades 4-6 (eBook) by : Lynne Aldrich
Download or read book Fractions & Decimals - Grades 4-6 (eBook) written by Lynne Aldrich and published by Lorenz Educational Press. This book was released on 1998-09-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of activities designed to enrich and reinforce math skills taught at the fourth- through sixth-grade levels. The pages are presented in a suggested order, but may be used in any order that best meets a child's needs. Exercises are designed so a child can work with a minimum of supervision in a classroom or at home. The whimsical characters will entertain and motivate your children. An answer key is included at the end of the book.
Book Synopsis Lessons for Introducing Fractions by : Marilyn Burns
Download or read book Lessons for Introducing Fractions written by Marilyn Burns and published by Math Solutions. This book was released on 2001 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marilyn Burns Fraction Kit, Grades 4–6 is recommended to help implement the lessons in this book."--pub. desc.
Book Synopsis Basic Operations with Fractions by :
Download or read book Basic Operations with Fractions written by and published by Milliken Publishing Company. This book was released on 2009-09-01 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This activity book of ready-to-use, reproducible pencil-to-paper worksheets is ideal for enrichment or for use as reinforcement. Perfect for use at school or as homework, it gives your students the practice they need with basic operations with fractions.
Book Synopsis Seeing Through Arithmetic by : Maurice Leslie Hartung
Download or read book Seeing Through Arithmetic written by Maurice Leslie Hartung and published by . This book was released on 1955 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seeing Through Mathematics; Teaching Guide by :
Download or read book Seeing Through Mathematics; Teaching Guide written by and published by . This book was released on 1964 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractions written by Ken MacLeod and published by Macmillan. This book was released on 2008-10-28 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a balkanized future of dizzying possibilities, mercenaries contend with guns as smart as they are, nuclear deterrence is a commodity traded on the open market, teenagers deal in "theologically correct" software for fundamentalists, and anarchists have colonized a planet circling another star. Against this background, men and women struggle for a better future against the betrayals that went before. Death is sometimes the end, and sometimes something altogether different... This volume comprises The Star Fraction and The Stone Canal.
Book Synopsis A Practical Arithmetic by : George Payn Quackenbos
Download or read book A Practical Arithmetic written by George Payn Quackenbos and published by . This book was released on 1872 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extending Children's Mathematics by : Susan B. Empson
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.
Book Synopsis MathScape: Seeing and Thinking Mathematically, Course 1, From Whole to Parts, Student Guide by : McGraw Hill
Download or read book MathScape: Seeing and Thinking Mathematically, Course 1, From Whole to Parts, Student Guide written by McGraw Hill and published by McGraw-Hill Education. This book was released on 2004-03-11 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Whole to Parts, Student Guide
Book Synopsis Seeing Through Fractions by : Rudd A. Crawford
Download or read book Seeing Through Fractions written by Rudd A. Crawford and published by . This book was released on 1970 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
