Exploring the Integer Addition and Subtraction Landscape
Exploring the Integer Addition and Subtraction Landscape

Author: Laura Bofferding

Publisher: Springer

Published: 2018-08-24

Total Pages: 308

ISBN-13: 3319906925

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Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students’ thinking, models and metaphors, and teachers’ thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.

Constructing Number
Constructing Number

Author: Anderson Norton

Publisher: Springer

Published: 2018-12-17

Total Pages: 377

ISBN-13: 3030004910

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The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Planting the Seeds of Algebra, PreK–2
Planting the Seeds of Algebra, PreK–2

Author: Monica Neagoy

Publisher: Corwin Press

Published: 2012-04-20

Total Pages: 210

ISBN-13: 1412996600

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The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...

Teaching by Design in Elementary Mathematics, Grades 2–3
Teaching by Design in Elementary Mathematics, Grades 2–3

Author: Jennifer Stepanek

Publisher: Corwin Press

Published: 2010-11-19

Total Pages: 257

ISBN-13: 1452238812

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Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.

Young Mathematicians at Work
Young Mathematicians at Work

Author: Catherine Twomey Fosnot

Publisher: Heinemann Educational Books

Published: 2001

Total Pages: 196

ISBN-13:

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Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.

Teaching by Design in Elementary Mathematics, Grades 4–5
Teaching by Design in Elementary Mathematics, Grades 4–5

Author: Melinda Leong

Publisher: Corwin Press

Published: 2010-12-01

Total Pages: 273

ISBN-13: 1452238820

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Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.

Building Support for Scholarly Practices in Mathematics Methods
Building Support for Scholarly Practices in Mathematics Methods

Author: Signe E. Kastberg

Publisher: IAP

Published: 2017-09-01

Total Pages: 375

ISBN-13: 164113027X

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Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.

Teaching by Design in Elementary Mathematics, Grades K–1
Teaching by Design in Elementary Mathematics, Grades K–1

Author: Jennifer Stepanek

Publisher: Corwin Press

Published: 2010-11-16

Total Pages: 257

ISBN-13: 1452224072

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Strengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.

Learning, Design, and Technology
Learning, Design, and Technology

Author: J. Michael Spector

Publisher: Springer Nature

Published: 2023-11-15

Total Pages: 4144

ISBN-13: 3319174614

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The multiple, related fields encompassed by this Major Reference Work represent a convergence of issues and topics germane to the rapidly changing segments of knowledge and practice in educational communications and technology at all levels and around the globe. There is no other comparable work that is designed not only to gather vital, current, and evolving information and understandings in these knowledge segments but also to be updated on a continuing basis in order to keep pace with the rapid changes taking place in the relevant fields. The Handbook is composed of substantive (5,000 to 15,000 words), peer-reviewed entries that examine and explicate seminal facets of learning theory, research, and practice. It provides a broad range of relevant topics, including significant developments as well as innovative uses of technology that promote learning, performance, and instruction. This work is aimed at researchers, designers, developers, instructors, and other professional practitioners.