Extending Children's Mathematics

Extending Children's Mathematics

Author: Susan B. Empson

Publisher: Heinemann Educational Books

Published: 2011

Total Pages: 0

ISBN-13: 9780325030531

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"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 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.

Children's Mathematics

Children's Mathematics

Author: Thomas P. Carpenter

Publisher: Heinemann Educational Books

Published: 2015

Total Pages: 0

ISBN-13: 9780325052878

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With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.


Book Synopsis Children's Mathematics by : Thomas P. Carpenter

Download or read book Children's Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Thinking Mathematically

Thinking Mathematically

Author: Thomas P. Carpenter

Publisher: Heinemann Educational Books

Published: 2003

Total Pages: 166

ISBN-13:

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In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic


Book Synopsis Thinking Mathematically by : Thomas P. Carpenter

Download or read book Thinking Mathematically written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2003 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Spectrum Extending Fractions

Spectrum Extending Fractions

Author:

Publisher: Carson-Dellosa Publishing

Published: 2015-07-29

Total Pages: 36

ISBN-13: 1483826473

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A strong home-to-school relationship helps kids see the whole picture when it comes to math, and with Spectrum Focus: Extending Fractions for grade 5 kids can go more practice converting fractions to decimals, adding and subtracting fractions, solving word problems, and more right at home. Packed with introductions, explanations, and comprehensive assessments, the Spectrum Focus series is designed to help every child meet (and exceed) expectations by offering an in-depth learning experience. This standards-based workbook doesn’t just prepare them for classroom success—it helps them make real-world connections by applying fractions to everyday scenarios.


Book Synopsis Spectrum Extending Fractions by :

Download or read book Spectrum Extending Fractions written by and published by Carson-Dellosa Publishing. This book was released on 2015-07-29 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong home-to-school relationship helps kids see the whole picture when it comes to math, and with Spectrum Focus: Extending Fractions for grade 5 kids can go more practice converting fractions to decimals, adding and subtracting fractions, solving word problems, and more right at home. Packed with introductions, explanations, and comprehensive assessments, the Spectrum Focus series is designed to help every child meet (and exceed) expectations by offering an in-depth learning experience. This standards-based workbook doesn’t just prepare them for classroom success—it helps them make real-world connections by applying fractions to everyday scenarios.

Beyond Pizzas & Pies

Beyond Pizzas & Pies

Author: Julie McNamara

Publisher: Math Solutions

Published: 2010

Total Pages: 186

ISBN-13: 1935099132

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"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"--


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"--

Number Talks

Number Talks

Author: Sherry Parrish

Publisher: Math Solutions Publications

Published: 2016

Total Pages: 0

ISBN-13: 9781935099758

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"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 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.

Fractions, Decimals and Percentages

Fractions, Decimals and Percentages

Author: Steve Mills

Publisher: Ginn

Published: 1999

Total Pages: 68

ISBN-13: 9780602291839

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Book Synopsis Fractions, Decimals and Percentages by : Steve Mills

Download or read book Fractions, Decimals and Percentages written by Steve Mills and published by Ginn. This book was released on 1999 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unpacking Fractions

Unpacking Fractions

Author: Monica Neagoy

Publisher: ASCD

Published: 2017-03-10

Total Pages: 301

ISBN-13: 1416621237

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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 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.

Intensifying Mathematics Interventions for Struggling Students

Intensifying Mathematics Interventions for Struggling Students

Author: Diane Pedrotty Bryant

Publisher: Guilford Publications

Published: 2021-07-05

Total Pages: 226

ISBN-13: 146254620X

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"This book, Intensive Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, word problem solving strategies, algebra and even technology"--


Book Synopsis Intensifying Mathematics Interventions for Struggling Students by : Diane Pedrotty Bryant

Download or read book Intensifying Mathematics Interventions for Struggling Students written by Diane Pedrotty Bryant and published by Guilford Publications. This book was released on 2021-07-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, Intensive Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, word problem solving strategies, algebra and even technology"--

Key Maths 7/2

Key Maths 7/2

Author: David Baker

Publisher: Nelson Thornes

Published: 2000

Total Pages: 638

ISBN-13: 0748755276

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These resources provide invaluable support within the Key Maths series for all mathematics teachers, whether specialists or non-specialist, experienced or new to the profession.


Book Synopsis Key Maths 7/2 by : David Baker

Download or read book Key Maths 7/2 written by David Baker and published by Nelson Thornes. This book was released on 2000 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: These resources provide invaluable support within the Key Maths series for all mathematics teachers, whether specialists or non-specialist, experienced or new to the profession.