Planting the Seeds of Algebra, 3-5

Explorations for the Upper Elementary Grades
Planting the Seeds of Algebra, 3-5
December 2014 | 248 pages | Corwin
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ISBN: 9781483353692
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ISBN: 9781412996617
Available from January 0001

Description

Give your students a foundation of algebra for math success – now and in the future!

 

Algebra is not something to be feared, but something to be embraced with a sense of wonder. Planting the Seeds of Algebra, 3-5, introduces algebra as an accessible way of seeing the world that is necessary to our students’ futures.

 

Students and teachers must become friendly with algebraic foundations, as they have increasingly become the gateway to careers in the STEM fields. Monica Neagoy empowers teachers with theoretical and practical ways to introduce Algebra to 3-5 grade students, making vital connections to concepts they will encounter in middle school and beyond. You’ll discover

  • Four explorations to help you weave key algebraic ideas into everyday mathematics
  • Step-by-step lessons from real classrooms that will guide you in teaching concepts and in establishing their relevance and applicability
  • New teaching methods that break down difficult algebraic concepts and build a critical foundation for higher math

Awaken new awareness and change attitudes by sowing the seeds for a vibrant, useful, and rich experience with mathematics.

"While reading this book I experienced the sense of wonder and aha moments alongside the students themselves. This book will move your faculty to new depths of understanding about mathematics and will instill the passion to explore a myriad of algebraic concepts.”

— Bob Weiman, Director

St. Stephen’s & St. Agnes School

 

“She’s done it again! Monica Neagoy has authored another book that deftly presents important foundations of algebra while celebrating mathematics through carefully crafted explorations, all of which include student and teacher vignettes and comments about the mathematics they have learned and are teaching. Wow. When I read this book I felt like I was in a classroom!” 

Francis (Skip) Fennell, McDaniel College
Past President of the National Council of Teachers of Mathematics

Contents

Foreword by a Mathematics Educator by Dr. Francis (Skip) Fennell

Foreword by a Mathematics Educator by Dr. Francis (Skip) Fennell

Foreword by a Mathematician by Dr. Keith Devlin

Foreword by a Mathematician by Dr. Keith Devlin

Acknowledgments

Acknowledgments

About the Author

About the Author

Introduction

Introduction

Exploration I. Geometry, Measurement, and Data: An Algebraic Perspective

  • Chapter 1. Circling Circles: The Lesson (Grade 3)
  • Chapter 2. Behind Circling Circles: Algebra Connections
  • Chapter 3. Beyond Circling Circles: More Problems to Explore

Exploration II. Patterns and Functions: What’s Their Connection to Algebra?

  • Chapter 4. Fancy Fences: The Lesson (Grades 4–5)
  • Chapter 5. Behind Fancy Fences: Algebra Connections
  • Chapter 6. Beyond Fancy Fences: More Problems to Explore

Exploration III. Making Sense of Multiplication: The Importance of the Distributive Property

  • Chapter 7. Multiplication Musings: The Lesson (Grades 3–4)
  • Chapter 8. Behind Multiplication Musings: Algebra Connections
  • Chapter 9. Beyond Multiplication Musings: More Problems to Explore

Exploration IV. Fundamentals of Rational Numbers: Beyond Part–Whole Relationships

  • Chapter 10. Fractions in Action: From Work With Teachers, Students, and Parents (Grades 3–5)
  • Chapter 11. Final Thoughts

Appendix

Appendix

References

References

Index

Index

Resources

Companion Website

Additional materials

Description

Give your students a foundation of algebra for math success – now and in the future!

 

Algebra is not something to be feared, but something to be embraced with a sense of wonder. Planting the Seeds of Algebra, 3-5, introduces algebra as an accessible way of seeing the world that is necessary to our students’ futures.

 

Students and teachers must become friendly with algebraic foundations, as they have increasingly become the gateway to careers in the STEM fields. Monica Neagoy empowers teachers with theoretical and practical ways to introduce Algebra to 3-5 grade students, making vital connections to concepts they will encounter in middle school and beyond. You’ll discover

  • Four explorations to help you weave key algebraic ideas into everyday mathematics
  • Step-by-step lessons from real classrooms that will guide you in teaching concepts and in establishing their relevance and applicability
  • New teaching methods that break down difficult algebraic concepts and build a critical foundation for higher math

Awaken new awareness and change attitudes by sowing the seeds for a vibrant, useful, and rich experience with mathematics.

"While reading this book I experienced the sense of wonder and aha moments alongside the students themselves. This book will move your faculty to new depths of understanding about mathematics and will instill the passion to explore a myriad of algebraic concepts.”

— Bob Weiman, Director

St. Stephen’s & St. Agnes School

 

“She’s done it again! Monica Neagoy has authored another book that deftly presents important foundations of algebra while celebrating mathematics through carefully crafted explorations, all of which include student and teacher vignettes and comments about the mathematics they have learned and are teaching. Wow. When I read this book I felt like I was in a classroom!” 

Francis (Skip) Fennell, McDaniel College
Past President of the National Council of Teachers of Mathematics

Contents

Foreword by a Mathematics Educator by Dr. Francis (Skip) Fennell

Foreword by a Mathematics Educator by Dr. Francis (Skip) Fennell

Foreword by a Mathematician by Dr. Keith Devlin

Foreword by a Mathematician by Dr. Keith Devlin

Acknowledgments

Acknowledgments

About the Author

About the Author

Introduction

Introduction

Exploration I. Geometry, Measurement, and Data: An Algebraic Perspective

  • Chapter 1. Circling Circles: The Lesson (Grade 3)
  • Chapter 2. Behind Circling Circles: Algebra Connections
  • Chapter 3. Beyond Circling Circles: More Problems to Explore

Exploration II. Patterns and Functions: What’s Their Connection to Algebra?

  • Chapter 4. Fancy Fences: The Lesson (Grades 4–5)
  • Chapter 5. Behind Fancy Fences: Algebra Connections
  • Chapter 6. Beyond Fancy Fences: More Problems to Explore

Exploration III. Making Sense of Multiplication: The Importance of the Distributive Property

  • Chapter 7. Multiplication Musings: The Lesson (Grades 3–4)
  • Chapter 8. Behind Multiplication Musings: Algebra Connections
  • Chapter 9. Beyond Multiplication Musings: More Problems to Explore

Exploration IV. Fundamentals of Rational Numbers: Beyond Part–Whole Relationships

  • Chapter 10. Fractions in Action: From Work With Teachers, Students, and Parents (Grades 3–5)
  • Chapter 11. Final Thoughts

Appendix

Appendix

References

References

Index

Index

Resources

Companion Website

Additional materials

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Planting the Seeds of Algebra, 3-5

Explorations for the Upper Elementary Grades


December 2014 | 248 pages | Corwin

Format Published Date ISBN Price
Paperback 27/02/2023 9781412996617 $42.95
Lifetime 27/02/2023 9781483353692 $39.00

Give your students a foundation of algebra for math success – now and in the future!

 

Algebra is not something to be feared, but something to be embraced with a sense of wonder. Planting the Seeds of Algebra, 3-5, introduces algebra as an accessible way of seeing the world that is necessary to our students’ futures.

 

Students and teachers must become friendly with algebraic foundations, as they have increasingly become the gateway to careers in the STEM fields. Monica Neagoy empowers teachers with theoretical and practical ways to introduce Algebra to 3-5 grade students, making vital connections to concepts they will encounter in middle school and beyond. You’ll discover

  • Four explorations to help you weave key algebraic ideas into everyday mathematics
  • Step-by-step lessons from real classrooms that will guide you in teaching concepts and in establishing their relevance and applicability
  • New teaching methods that break down difficult algebraic concepts and build a critical foundation for higher math

Awaken new awareness and change attitudes by sowing the seeds for a vibrant, useful, and rich experience with mathematics.

"While reading this book I experienced the sense of wonder and aha moments alongside the students themselves. This book will move your faculty to new depths of understanding about mathematics and will instill the passion to explore a myriad of algebraic concepts.”

— Bob Weiman, Director

St. Stephen’s & St. Agnes School

 

“She’s done it again! Monica Neagoy has authored another book that deftly presents important foundations of algebra while celebrating mathematics through carefully crafted explorations, all of which include student and teacher vignettes and comments about the mathematics they have learned and are teaching. Wow. When I read this book I felt like I was in a classroom!” 

Francis (Skip) Fennell, McDaniel College
Past President of the National Council of Teachers of Mathematics


Table Of Contents:

  • Foreword by a Mathematics Educator by Dr. Francis (Skip) Fennell
  • Foreword by a Mathematician by Dr. Keith Devlin
  • Acknowledgments
  • About the Author
  • Introduction
  • Exploration I. Geometry, Measurement, and Data: An Algebraic Perspective
  • Chapter 1. Circling Circles: The Lesson (Grade 3)
  • Chapter 2. Behind Circling Circles: Algebra Connections
  • Chapter 3. Beyond Circling Circles: More Problems to Explore
  • Exploration II. Patterns and Functions: What’s Their Connection to Algebra?
  • Chapter 4. Fancy Fences: The Lesson (Grades 4–5)
  • Chapter 5. Behind Fancy Fences: Algebra Connections
  • Chapter 6. Beyond Fancy Fences: More Problems to Explore
  • Exploration III. Making Sense of Multiplication: The Importance of the Distributive Property
  • Chapter 7. Multiplication Musings: The Lesson (Grades 3–4)
  • Chapter 8. Behind Multiplication Musings: Algebra Connections
  • Chapter 9. Beyond Multiplication Musings: More Problems to Explore
  • Exploration IV. Fundamentals of Rational Numbers: Beyond Part–Whole Relationships
  • Chapter 10. Fractions in Action: From Work With Teachers, Students, and Parents (Grades 3–5)
  • Chapter 11. Final Thoughts
  • Appendix
  • References
  • Index

Recent Product Reviews:

"Dr. Neagoy’s lessons and ideas dramatically changed my approach to teaching mathematics and my students' approach to thinking mathematically. Math time became about solving complex problems, debating over solutions, and articulating processes in ways that demonstrate deep understanding. My students became collaborators and co-constructors in their own learning. Through Dr. Neagoy's work, I realized that I no longer need to be the content expert and impart that content to my students through tired lessons. Rather, I am the facilitator of guided discovery and rich discussions."
Mollie Cura, International Educational Consultant, Cura Literacy Consulting, Dublin, Ireland
"This is an invaluable resource for any teacher hoping to offer their students a deeper understanding of mathematical concepts. Filled with engaging and interactive activities and lessons based on extensive research. It will help teachers learn the math in depth, allowing for greater differentiation in their teaching."
Ann Bremner, Math Resource Teacher, FCPS, Fairfax, Virginia
"The classroom demonstration lessons are so detailed that after perusing the lesson, creating a few charts, and gathering materials teachers will be able to implement the lesson immediately."
Stacey Bennett Ferguson, 4th grade teacher, North Bay Elementary School, Bay Saint Louis, MS
“This book will make classroom instruction more effective while transitioning to Common Core State Standards requirements. Elementary students will benefit greatly after making meaningful connections to foundational algebraic concepts in later grades.”
Nancy J. Larsen, 6th grade teacher, Coeur d’Alene, ID
"This book is terrific! Well-written and FULL of information. The writer is SO knowledgeable and presents the information SO well. Background information and sample lessons are provided that will make the teacher the expert and the students active learners who carry a positive attitude and better understanding of math with them to middle and high school."
Joyce Sager, Inclusion Math Teacher, Gadsden City High School, Gadsden, AL

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