A Focus on Multiplication and Division

A Focus on Multiplication and Division PDF

Author: Elizabeth T. Hulbert

Publisher: Taylor & Francis

Published: 2023-07-04

Total Pages: 276

ISBN-13: 1000886166

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The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 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 the following: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math are supported by math education research Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to 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 that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.

A Focus on Multiplication and Division

A Focus on Multiplication and Division PDF

Author: Elizabeth T. Hulbert

Publisher: Taylor & Francis

Published: 2017-06-26

Total Pages: 198

ISBN-13: 1351671707

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A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.

A Focus on Multiplication and Division

A Focus on Multiplication and Division PDF

Author: Elizabeth T. Hulbert

Publisher: Routledge

Published: 2017-06-26

Total Pages: 267

ISBN-13: 1351671693

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A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.

Focus on Multiplication and Division with Decimals

Focus on Multiplication and Division with Decimals PDF

Author: Kumon

Publisher: Kumon Pub North America Limited

Published: 2012-06

Total Pages: 64

ISBN-13: 9784774300252

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Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

Kumon Focus on Multiplication: Number 1-10

Kumon Focus on Multiplication: Number 1-10 PDF

Author: Kumon

Publisher: Kumon Pub North America Limited

Published: 2012-06-01

Total Pages: 64

ISBN-13: 9784774300238

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Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

A Focus on Fractions

A Focus on Fractions PDF

Author: Marjorie M. Petit

Publisher: Routledge

Published: 2015-07-24

Total Pages: 208

ISBN-13: 1317597303

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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.

RtI in Math

RtI in Math PDF

Author: Linda Forbringer

Publisher: Routledge

Published: 2021-05-20

Total Pages: 232

ISBN-13: 1000386775

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Learn how to help K–8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on Intensive Intervention, and CEC, use praise and self-motivation more effectively, develop number sense and computational fluency, teach whole numbers and fractions, increase students’ problem-solving abilities, and more! This edition features an all-new overview of effective instructional practices to support academic engagement and success, ideas for intensifying instruction within tiered interventions, and a detailed set of recommendations aligned to both CCSSM and CEC/CEEDAR’s High-Leverage Practices to help support students struggling to meet grade-level expectations. Extensive, current examples are provided for each strategy, as well as lesson plans, games, and resources.

A Focus on Addition and Subtraction

A Focus on Addition and Subtraction PDF

Author: Caroline B. Ebby

Publisher: Routledge

Published: 2020-11-23

Total Pages: 224

ISBN-13: 1000220877

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This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ 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 focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter 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; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge 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.

Focus in Grade 3

Focus in Grade 3 PDF

Author: Jane F. Schielack

Publisher: National Council of Teachers of English

Published: 2009

Total Pages: 88

ISBN-13:

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The goal of each grade specific book in the Teaching with Curriculum Focal Points series is to present the mathematics in each of the Focal Points in more detail. Follow an instructional progression from introducing and building concepts to developing depth of understanding to strengthing fluency.