Teach your students to become decision makers who rely on their own mathematical thinking. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms.&nbsp;Real&nbsp;fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning&nbsp;offers 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. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: <ul> <li>&nbsp;"Seven Significant Strategies" to teach to students as they work toward procedural fluency.</li> <li>&nbsp;Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency.</li> <li>Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency.</li> <li>Suggestions for&nbsp;engaging families in understanding and supporting fluency.</li> </ul> Fluency is more than a toolbox of strategies to choose from; it's also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8: Moving Beyond Basic Facts and Memorization (Corwin Mathematics Series)

Computers & Technology

SanGiovanni, John J.

Bay-Williams, Jennifer M.

Programming

Corwin

Product Description 
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:\n• 
 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.\nReview 
"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\n"I wish I’d 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\n"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\n"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\n"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\n"This book should be on every teacher’s 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\n"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\n"Being fluent is much more than solving problems quickly and accurately. This jam-packed resource brings clarity to what it means

Figuring Out Fluency - Addition and Subtraction With Whole Numbers: A Classroom Companion (Corwin Mathematics Series)

Education & Teaching

McFadden, Rosalba

Schools & Teaching

Review\nThis book places a premium on mathematical thinking. The authors make the compelling case using myriad examples that fluency requires reasoning and relies on conceptual understanding. If you want your students to confidently choose and flexibly use a range of strategies when working with rational numbers and algebraic equations, dig into the treasure trove of engaging activities in this book! -- Grace Kelemanik ― Natick, MA\nSixth grade is a challenging time for fluency development―some students are still working on basic fact fluency, while others are starting to engage in a more sophisticated way of algebraic thinking. This book is an excellent resource for scaffolding middle school students on a personal level wherever they may be on the fluency continuum! -- Kiersten Campbell ― Clinton, UT\nFiguring Out Fluency is a necessary resource for every middle school mathematics educator seeking to grow their knowledge base, learn effective teaching strategies, and gain access to teaching activities they can immediately implement. -- Kristopher J. Childs ― Winter Garden, FL\nThis book is exactly what the mathematics world needs. Even as a veteran teacher, I need to be reminded that students need explicit strategy instruction. Students need to see that there are efficient ways to solve problems and the standard algorithm isn’t always the best. This companion book is overflowing with ideas for the classroom teacher to improve mathematical fluency! -- Elizabeth Uden ― Olathe, KS\nDespite striving for students to develop fluency with number and operations, inconsistent definitions of what it means to be fluent and a lack of understanding to implement effective fluency-building practices can leave you feeling defeated. Enter the action-oriented Figuring Out Fluency book that clarifies what it means to be fluent with number and operations while providing content specific examples that can be implemented in your classroom to begin seeing the fruit of your professional learning efforts. -- Kyle Pearce ― Belle River, Ontario, Canada\nThis is a book you keep on your teacher-desk! It’s full of classroom activities for your classroom while at the same time, it teaches you how to build your own activities so you can build mathematical fluency for your students. -- Jon Orr ― Chatham, Ontario, Canada\nThis book is like a full-course meal. Each course complements the other, from the amuse-bouche to the main course where each module, from operations of whole numbers to solving systems, leaves the reader satisfied with figuring out fluency. Lastly, as sweet as the dessert, developing fluency puts it all together. This is the most practical math book for secondary instruction of this time. -- Valentin Sotomayor ― Seminole County, FL\nWhen most educators hear "fluency," they immediately think of elementary school. The authors do a masterful job of pushing us to think of fluency at the middle grades as well and provide concrete examples of what it looks like. The activities are ready to implement immediately to bring to life the key ideas around fluency for rational numbers and algebraic equations. -- Kevin J. Dykema ― Mattawan, MI\nThis book is the instruction tool I have been looking for with essential insights to effective mathematical teaching without unnecessary details. Filled with explicit ideas on how to build fluency, the book merges conceptual and procedural learning goals perfectly. A must-have tool for both educators and students looking for a deeper understanding of mathematics. -- Kirk Redford ― Clearfield, UT\nThis brilliantly crafted book stresses the importance of teaching mathematical fluency as equipping learners with multiple strategies that are not only 
efficient and flexible but also lead to accurate solutions and are appropriate for the given situation. The fun and engaging activities, examples, and games all stress that fluency is also a matter of equity and access for all learners. -- Kanita K DuCloux ― Bowling Green, K

Figuring Out Fluency – Operations With Rational Numbers and Algebraic Equations: A Classroom Companion (Corwin Mathematics Series)

Science & Math

Martinie, Sherri L.

Walters, C. David

Mathematics

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: Multiplication and Division 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&nbsp;* Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers* Find activities for assessing all components of multiplication and division fluency plus support for engaging families&nbsp;* Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. <div>&nbsp;</div>

Figuring Out Fluency - Multiplication and Division With Whole Numbers: A Classroom Companion (Corwin Mathematics Series)

Review\nThis book places mathematical thinking front and center! The authors make the compelling case using myriad examples that fluency requires reasoning and relies on conceptual understanding. They provide a treasure trove of engaging activities teachers can use to help their students develop fluency with fractions and decimals. If you want your students to confidently choose and flexibly use a range of strategies when working with fractions and decimals, you must read this book! -- Grace Kelemanik\nAs a high school mathematics teacher, I listened year after year to students who said they lost their passion for mathematics right around the time they began to learn fractions. Thankfully, Figuring Out Fluency―Multiplication and Division With Fractions and Decimals is a book designed to make fractions more accessible and understood by all students. The book is a must-read for mathematics educators. This book clearly defines fluency and also shares action steps and strategies teachers can employ to help students develop a deeper understanding of, and fluency with, fractions and decimals. -- Mona Toncheff\nThis book is such an eye-opener for providing interventions and strategies for students and supporting teachers that I coach. Fluency isn’t about timed tests or ‘drill and kill’ but providing students with rich discourse, games, tasks, routines, and more. I’m so excited to delve into this much-needed resource more. -- Tomika R. Altman ― Chapel Hill-Carrboro City Schools\nFiguring Out Fluency―Multiplication and Division With Fractions and Decimals is an essential resource for math educators who teach fraction and decimal operations. This companion book connects the strategies introduced in the anchor book to multiplying and dividing with decimals and fractions. The explicit strategy instruction provided in the book allows access for ALL students in a practical, hands-on approach. This is a go-to for all math educators, coaches, specialists, and interventionists! -- Nichole DeMotte ― Jefferson County Public Schools, Louisville, KY\nA needed addition to mathematics education! This book establishes a broader definition of fluency and emphasizes the importance of helping students develop and use relationships and strategies to solve problems. Bay-Williams, SanGiovanni, Martinie, and Suh outline which major relationships and strategies students need to develop stronger mathematical reasoning! -- Pam Harris ― Texas State University\nFiguring Out Fluency: Multiplication and Division With Fractions and Decimals is the resource that the educational world has been wishing and waiting for as it works to tackle mathematical concepts that traditionally leave students confused and teachers frustrated. This carefully crafted guide will inspire and support educators in their journey to integrate quality and rigorous fluency practice. It provides a plethora of practical, well-designed activities and games rooted in research that will actively engage students in rich discussion, critical thinking, and the strengthening of their conceptual understanding needed to select appropriate strategies to multiply and divide fractions and decimals accurately and efficiently. As an instructional leader, I view this text as the catalyst for refocusing the goals of math instruction so both teachers and students can confidently engage in practices that build mathematical proficiency. -- Allyson Lyman ― Emporia Public Schools\nFiguring Out Fluency―Multiplication and Division With Fractions and Decimals is a must-have for any classroom teacher, mathematics supervisor, or anyone that wants to think about advancing their students’ fluency with fractions and decimals. The ideas in this book are supported through the key ideas of figuring out fluency and the detailed ways of its strategy model of looking at fractions and decimals. The numerous resources that are highlighted in this book support anyone from a new teacher all the way to a 25-year veteran. The ease of

Figuring Out Fluency - Multiplication and Division With Fractions and Decimals: A Classroom Companion (Corwin Mathematics Series)

Suh, Jennifer

Fluency in mathematics is more than adeptly using basic facts of implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. 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 flucency 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 Fractions and Decimals. 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 fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of addition and subtraction fluency for fractions and decimals, plus support for engaging families Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.

Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals: A Classroom Companion (Corwin Mathematics Series)

Product Description 
Your guide to grow and learn as a math teacher!\nLet’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. \nWhether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues―especially new teachers―every day. \nQuestions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 
 1. How do I build a positive math community? 
 2. How do I structure, organize, and manage my math class? 
 3. How do I engage my students in math? 
 4. How do I help my students talk about math? 
 5. How do I know what my students know and move them forward?\nWoven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question―Where do I go from here?― offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey? 
 Review 
"A must-have for new teachers! This book could be called Everything I Should Have Learned in College About Teaching Math 
. Universities should use this in tandem with Van de Walle: easy to read and well organized to understand how to teach math versus what to teach. It includes countless tips, and the notes throughout about access, agency, and equity are invaluable" -- Colleen Pollitt\n"From the Introduction through Chapter 6, this easy-to-read book summarized what all elementary math teachers should know and do. The ideas and suggestions are doable in all of our classrooms. This book will be on my desk as a reference to read as well as share with the teachers I coach. Thank you for reminding this Year 30 teacher of many procedures, practices, and routines that I need to reinstate after the horrendous 2020–2021 School Year!" -- Laura Vizdos Tomas\n"As a former teacher, and currently as a K–8 principal, I find this book to be an invaluable resource! The book is structured in such a systematic way that it allows the reader to start on page 1 or strategically turn to a chapter that will lend guidance to a specific question or need. The book is a must-read due to its practical application that is grounded in research. As a principal, this book also serves as a tool to assist me in giving valuable feedback to teachers." -- Scott Gaudet\n"As a teacher who just completed her second-year teaching, I can attest that new teachers would benefit greatly from this book. This is an easy-to use answer guide to many questions regarding mathematics teaching principles including building community and engaging students in math talk. It is an invaluable resource for new teachers and anyone who is looking for extra guidance in mathematics instruction

Answers to Your Biggest Questions About Teaching Elementary Math: Five to Thrive [series] (Corwin Mathematics Series)

Katt, Susie

Rivera, Georgina

Knighten, Latrenda Duretta

Learning to be a problem solver is hard. Teaching students how to be problem solvers themselves can be even harder. Some students may learn to mimic procedures to come up with correct answers, but are they really learning to solve problems? To become independent problem solvers, students need to practice exploring, tinkering, and most importantly thinking!! The bite-size routines in this guide are perfect for teachers looking for the interesting, engaging, and doable practice students need to become problem-solving masters. These flexible, modifiable bursts of quality practice are designed to get students to look at problems in different ways, spark discussion, make connections, and boost mathematics achievement. This collection addresses the common challenges students and teachers face when learning to problem solve by Developing students? mathematical reasoning and conceptual understanding Building student?? skills with various problem-solving strategies Nurturing mathematical confidence and improving identity and agency Fortified with standards for math practices and processes, the ideas in this guide develop the reasoning and critical-thinking skills for students to become independent problem-solvers for life!

Daily Routines to Jump-Start Problem Solving, Grades K-8 (Corwin Mathematics Series)

Because fluency practice is not a worksheet. Fluency in mathematics is more than basic facts or using algorithms. It is not about recall or speed. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is a matter of equity and access for all learners. The landmark book&nbsp;Figuring Out Fluency in Mathematics Teaching and Learning&nbsp;offered educators the inspiration to develop a deeper understanding of procedural fluency. It explained the seven Significant Strategies for fluency and offered a plethora of pragmatic tools for shifting classrooms toward a greater fluency approach. However, in order to become truly adept with these strategies, children must first have certain underlying foundational concepts and skills in place.&nbsp; Figuring Out Fluency-Ten Underlying Foundations for Reasoning Strategies&nbsp;with Whole Numbers explores the ideas that are essential to reasoning: Number Relationships; Subitizing and Decomposing; Distance to 10, 100, and 1,000; Counting and Skip-Counting; Properties of Addition and Its Inverse Relationship with Subtraction; Properties of Multiplication and Its Inverse Relationship with Division; Multiplying by 10s and 100s; Multiples and Factors; Doubling and Halving; and Computational Estimation. With this book, elementary teachers can <ul> <li>Help children develop these foundational understandings, critical to reasoning and number sense.</li> <li>Leverage over 100 classroom-ready routines, centers, and games to develop these concepts both in first instruction, practice, and intervention.</li> <li>Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation</li> </ul> Develop each and every students' knowledge and power to become skilled and confident mathematical thinkers and doers.

Figuring Out Fluency--Ten Foundations for Reasoning Strategies With Whole Numbers: A Classroom Companion (Corwin Mathematics Series)

Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones―because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: <ul>
<li>what makes it a high-quality task </li> <li>what you might anticipate before students work with the task </li> <li>4 student examples of the completed task showcasing a distinct "gap" </li> <li>commentary on what precisely counts for mathematical understanding and the next instructional steps </li> <li>commentary on the misconception or incomplete understanding so you learn why the student veered off course </li> <li>three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. </li> </ul>
It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning―better at discerning the quality and clarity of students’ understanding―and better at planning teaching based on the gaps you see.

Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them (Corwin Mathematics Series)

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