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E-grāmata: Figuring Out Fluency - Addition and Subtraction With Whole Numbers: A Classroom Companion

4.44/5 (18 ratings by Goodreads)
, (University of Louisville, KY), (Howard Public School System)
  • Formāts: PDF+DRM
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 27-Jul-2021
  • Izdevniecība: Corwin Press Inc
  • Valoda: eng
  • ISBN-13: 9781071825105
  • Formāts - PDF+DRM
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  • Formāts: PDF+DRM
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 27-Jul-2021
  • Izdevniecība: Corwin Press Inc
  • Valoda: eng
  • ISBN-13: 9781071825105

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"Procedural fluency is a critical, required component of balanced mathematics instruction. But it is often misunderstood. It is more than memorizing facts or procedures with the aim of answer getting, and it is more than understanding and being able to use one procedure or "all the procedures" (NCTM, 2014). Yet, it is still often an area understood and taught in a way that honors memorization and rule following over sense-making. This leads to surface level "fake fluency." Approaches to fluency must shift, wherein students do learn specific procedures and algorithms, but more importantly, they learn when they need to use a procedure or algorithm and when they don't, as well as how to judge the reasonableness of their strategy and their answer. THAT is fluency. It's when students have a toolbox of procedural strategies to choose from, that they have been explicitly taught, and they have the choice, knowledge, and power to apply what makes the most sense in a given problem. A classroom companion to the anchor book Figuring Out Fluency, this book takes the significant strategies for fluency and offers a menu of instruction-ready fluency support tools, instructional routines, worked examples, activities, games, and centers for each strategy to help students build fluency in whole number addition and subtraction. The final chapters focus on assessing for fluency in whole number addition and subtraction. Throughout, the book provides ideas for communication with families to help their child with adding and subtracting whole numbers"--

Because fluency practice is not a worksheet.


The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can:

• Dive deeper into the Significant Strategies for fluency explained in the anchor book
• Learn how these strategies grow from and relate to the basic fact strategies children learn 
• Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers
• Find activities for assessing all components of addition and subtraction fluency plus support for engaging families 
• Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.
 

Recenzijas

"This text provides a clear definition of what fluency really is and provides strategies to deepen students number sense and make them fluent mathematicians." -- Meghan Schofield "I wish Id had this book when I was in the classroom 10 years ago. The authors clearly lay out a pathway to procedural fluency, including intentional activities to understand and practice specific strategies, while also advocating for space for students to make decisions and feel empowered as mathematical thinkers and doers." -- Kristine M. Gettelman "This book is a must-read for teachers wanting to learn more about focused math fluency instruction. The steps are clear and easy to follow. You will have all the steps to help your students become fluent math thinkers." -- Carly Morales "Are you ready to help your students connect their Number Talks and number routines to the real world? Figuring Out Fluency will give you the routines, games, protocols, and resources you need to help your students build their fluency in number sense (considering reasonableness, strategy selection, flexibility, and more). Our students deserve the opportunity to build a positive and confident mathematics identity. We can help support them to build this identity by providing them with access to a variety of strategies and the confidence to know when to use them." -- Sarah Gat "Figuring Out Fluency goes beyond other resources currently on the market. It not only provides a robust collection of strategies and routines for developing fluency but also pays critical attention to the ways teachers can empower each and every student as a mathematical thinker who can make strategic decisions about their computation approaches. If you are looking for instruction and assessment approaches for fluency that move beyond getting the right answer, this is the resource for you." -- Nicole Rigelman "This book should be on every teachers desk as a tool for building fluency. Many times, I teach a strategy and wonder why my students go back to a slower, less useful strategy. This book answers that question for me. The games give students a fun and engaging way to use a practice strategy. I can easily differentiate any game for a variety of learners." -- Barb Klein "Figuring Out Fluency provides a wealth of insightful examples and resources to support teachers, students, and parents in learning about and truly understanding computational fluency. As a math coach, I am excited to use this book to plan and teach meaningful lessons with teachers to model efficient strategies for students as they add and subtract." -- Marcy Myers "Being fluent is much more than solving problems quickly and accurately. This jam-packed resource brings clarity to what it means to be fluent with whole number addition and subtraction and provides numerous ideas for strategy instruction, purposeful practice, and assessment. Its an absolute must-have for everyone who strives to support students in reaching the goal of fluency!!" -- Susie Katt "This book is invaluable. SanGiovanni, Bay-Williams, and Serrano dont just provide top tier content for educators, they include strategy briefs for families! I absolutely love the idea of including parents as "partners in the pursuit of fluency."" -- Cherelle C. McKnight "The term math fluency may be interpreted in different ways depending on who you ask. This book clearly defines fluency and is a must-have resource for all educators working toward this goal with their students. Each module focuses on different strategies and ways to implement using parent resources, centers, games, and teaching tips. This is the book that you can read and put into immediate action in your classroom." -- Cindy Cliche "For years research has indicated that fluency is much more than speed, yet timed assessments and traditional instruction persist for teachers without a clear vision or tools to change their practices. This series provides teachers with the explicit examples, resources, and activities needed to bring that research to life for their students and will quickly become a well-worn guidebook for every fluency-focused classroom. This is the toolkit teachers have been yearning for in their journey toward fluency with their students." -- Gina Kilday "Fluency isnt a dry landscape of disconnected facts, it is a rich soil for developing and connecting diverse perspectives and ideas. This book series equips you with a deep understanding of fluency and a variety of activities to engage students in co-constructing ideas about addition and subtraction that will last a lifetime." -- Berkeley Everett "Figuring Out Fluency is a must-have, must-read, and must-use for elementary teachers. This text is concise and intentional in communicating the aspects of math fluency and what they look like in action. The routines, tasks, and activities included are easy to implement yet impactful and engaging. Teachers will gain insight for their pedagogy when reading, and students will make strides as problem solvers and flexible thinkers engaging in the activities." -- Sumer Smith "This bookindeed this seriesis a must-read for elementary and middle level teachers, coaches, and administrators. Within this resource you will find a synthesis of important research organized to help readers develop a clear and common understanding of fluency paired with a large collection of teaching activities that provide concrete ways to support students fluency development. Figuring Out Fluency provides a much-needed roadmap for teachers looking to increase computational proficiency with multiplication and division." -- Delise Andrews "The authors John J. SanGiovanni, Jennifer M. Bay-Williams, and Rosalba Serrano shine a bright light on how math fluency is the equity issue in mathematics education. How refreshing to have a book that equips math educators with the research and strategies to make a difference for all students! Lets implement these strategy modules in this book and help kids figure out fluency once and for all!" -- Kelly DeLong

Preface xv
Acknowledgments xix
About the Authors xxi
1 Figuring Out Fluency: Key Ideas
1(18)
What Is Fluency With Whole Number Addition and Subtraction?
2(2)
Why Focus on Fluency for Whole Number Addition and Subtraction?
4(1)
What Do Fluency Actions Look Like for Whole Number Addition and Subtraction?
4(4)
What Foundations Do Students Need to Develop Fluency With Addition and Subtraction?
8(5)
What Automaticities Do Students Need Beyond Their Basic Facts?
13(1)
What Are the Significant Strategies for Adding and Subtracting Whole Numbers?
13(1)
How Do I Use the Part 2 Modules to Teach, Practice, and Assess Strategies?
14(3)
How Do I Use Part 3 to Support Students' Fluency?
17(1)
In Sum, Making a Difference
18(1)
2 Strategy Modules
19(120)
Module 1 Count On/Count Back Strategy
20(18)
Strategy Overview: Count On/Count Back
20(1)
Count On And Count Back: Strategy Briefs For Families
21(1)
Teaching Activities For Count On/Count Back
22(5)
Practice Activities For Count On/Count Back
27(11)
Module 2 Make Tens Strategy
38(20)
Strategy Overview: Maketens
38(1)
Make Tens: Strategy Briefs For Families
39(1)
Teaching Activities For Make Tens
40(4)
Practice Activities For Maketens
44(14)
Module 3 Partialsums And Differences Strategy
58(22)
Strategy Overview: Partial Sums And Differences
58(2)
Partial Sums And Differences: Strategy Briefs For Families
60(1)
Teaching Activities For Partial Sums And Differences
61(5)
Practice Activities For Partial Sums And Differences
66(14)
Module 4 Compensation Strategy
80(22)
Strategy Overview: Compensation
80(2)
Compensation: Strategy Briefs For Families
82(1)
Teaching Activities For Compensation
83(7)
Practice Activities For Compensation
90(12)
Module 5 Think Addition Strategy
102(18)
Strategy Overview: Think Addition
102(1)
Think Addition: Strategy Briefs For Families
103(1)
Teaching Activities For Think Addition
104(4)
Practice Activities For Think Addition
108(12)
Module 6 Standard Algorithms For Addition And Subtraction
120(19)
Strategy Overview: Standard Algorithms
120(1)
Standard Algorithms: Strategy Briefs For Families
121(1)
Teaching Activities For Standard Algorithms
122(5)
Practice Activities For Standard Algorithms
127(12)
3 Putting It All Together: Developing Fluency
139(14)
Fluency Is ...
140(2)
Assessing Fluency
142(1)
Fluency Activities
143(10)
Appendix: Tables of Activities 153(8)
References 161(2)
Index 163
John J. SanGiovanni is a mathematics coordinator in Howard County, Maryland. There, he leads mathematics curriculum development, digital learning, assessment, and professional development. John is passionate about growing new mathematics leaders in the district and through McDaniel College. In addition to the Figuring Out Fluency series, some of his many Corwin books include Daily Routines to Jump-Start Problem Solving, Grades K8; Answers to Your Biggest Questions About Teaching Elementary Math; the Daily Routines to Jump-Start Math series; and Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance. John is a national mathematics curriculum and professional learning consultant who also speaks frequently at national conferences and institutes. He is active in state and national professional organizations, recently serving on the board of directors for the National Council of Teachers of Mathematics (NCTM) and on the board of directors for NCSM.

Jennifer M. Bay-Williams is a professor of mathematics education at the University of Louisville, where she teaches preservice teachers, emerging elementary mathematics specialists, and doctoral students in mathematics education. She has authored over 40 books and 100 journal articles/book chapters, many of which focus on procedural fluency and developing mathematical proficiency. Beyond the Figuring out Fluency series, these include Math Fact Fluency, and Everything you Need for Mathematics Coaching and Elementary: Teaching Developmentally and Middle School Mathematics. Jennifers national leadership includes NCTM Board of Directors, the TODOS: Mathematics for All Board of Directors, and as president and secretary of the Association of Mathematics Teacher Educators (AMTE). Rosalba Serrano is an elementary mathematics consultant in New York and is the founder of Zenned Math, where she provides online professional development and coaching for elementary mathematics teachers. Rosalba has used her experience as a classroom teacher and mathematics coach to support teachers in deepening their understanding of mathematics and their use of effective teaching practices.

A frequent speaker at both regional and national conferences, Rosalba is also active in mathematics organizations such as the National Council of Teachers of Mathematics, where she contributes to multiple committees. She has also worked as a professional development facilitator for various mathematics organizations and consults as a math editor for a number of publishing companies.