Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Author: Jennifer M. Bay-Williams

Publisher: Corwin

Published: 2021-03-02

Total Pages: 265

ISBN-13: 1071818430

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning 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: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. 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.


Number Sense Routines

Number Sense Routines

Author: Jessica F. Shumway

Publisher: Stenhouse Publishers

Published: 2011

Total Pages: 194

ISBN-13: 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.


Math Fact Fluency

Math Fact Fluency

Author: Jennifer Bay-Williams

Publisher: ASCD

Published: 2019-01-14

Total Pages: 206

ISBN-13: 1416627227

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This approach to teaching basic math facts, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math. Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions—and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic math facts.


Math Running Records in Action

Math Running Records in Action

Author: Nicki Newton

Publisher: Routledge

Published: 2016-06-17

Total Pages: 233

ISBN-13: 1317403002

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In this new book from popular consultant and bestselling author Dr. Nicki Newton, you’ll discover how to use Math Running Records to assess students’ basic fact fluency and increase student achievement. Like a GPS, Math Running Records pinpoint exactly where students are in their understanding of basic math facts and then outline the next steps toward comprehensive fluency. This practical book introduces a research-based framework to assess students’ thinking and move them toward becoming confident, proficient, flexible mathematicians with a robust sense of numbers. Topics include: Learning how often to administer Math Running Records and how to strategically introduce them into your existing curriculum; Analyzing, and interpreting Math Running Records for addition, subtraction, multiplication, and division; Using the data gathered from Math Running Records to implement evidence-based, research-driven instruction. Evaluating students’ speed, accuracy, flexibility, and efficiency to help them attain computational fluency; Each chapter offers a variety of charts and tools that you can use in the classroom immediately, and the strategies can easily be adapted for students at all levels of math fluency across grades K-8. Videos of sample running records are also available for download at https://guidedmath.wordpress.com/math-running-records-videos. Blackline masters are available on the Running Records Dropbox at https://bit.ly/3gnggIq


Math Fluency Activities for K–2 Teachers

Math Fluency Activities for K–2 Teachers

Author: Nancy Hughes

Publisher: Simon and Schuster

Published: 2022-09-20

Total Pages: 344

ISBN-13: 164604357X

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Make learning fun and help your student master math with these parent- and teacher-friendly games and activities designed for kindergarten, first grade, and second grade. An excellent resource for teachers and parents, Math Fluency Activities for K–2 Teachers makes learning basic math facts and number sense a breeze. This book helps students in grades K–2 meet current math fluency standards for their age group. Beyond teaching speed, accuracy, and memorization, this book focuses on getting students to apply math in a variety of real-life situations. Inside you’ll find: Current fluency standards for kindergarten, first grade, and second grade Activities, games, and ideas for teaching math to students Concrete examples and practice sections to reinforce concepts And much more! Ideal for reteaching, at-home practice, or general class time, Math Fluency Activities for K–2 Teachers is the ultimate tool for helping kids achieve math success!


Figuring Out Fluency - Addition and Subtraction with Whole Numbers

Figuring Out Fluency - Addition and Subtraction with Whole Numbers

Author: John J. Sangiovanni

Publisher: Corwin Mathematics

Published: 2021-08-24

Total Pages: 184

ISBN-13: 9781071825099

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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.


Building Math Fluency Grade 2

Building Math Fluency Grade 2

Author: Evan-Moor Educational Publishers

Publisher: Evan-Moor Educational Publishers

Published: 2008

Total Pages: 0

ISBN-13: 9781596732575

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Exercises to help elementary students improve their math skills.


Each Orange Had 8 Slices

Each Orange Had 8 Slices

Author: Paul Giganti

Publisher: Harper Collins

Published: 1999-04-27

Total Pages: 36

ISBN-13: 068813985X

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If each orange has 8 slices and each slice has 2 seeds, how many seeds are there in all? You'll have fun wether you multiply, add or count your way through the math puzzles hiding in the world all around you. In this companion volume to How Many Snails?, dynamic illustrations and appealing words combine to introduce beginning math concepts and reinforce visual literacy.


Principles to Actions

Principles to Actions

Author: National Council of Teachers of Mathematics

Publisher: National Council of Teachers of Mathematics, Incorporated

Published: 2014-02

Total Pages: 139

ISBN-13: 9780873537742

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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.


Developing Numerical Fluency

Developing Numerical Fluency

Author: Patsy Kanter

Publisher: Heinemann Educational Books

Published: 2018

Total Pages: 184

ISBN-13: 9780325093123

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"This is a must-read book for any teachers of math." -Jo Boaler, Professor of Mathematics Education at Stanford University and author of Mathematical Mindsets Numerical fluency is about understanding Numerical fluency is about understanding, not memorization. It comes over time as students engage in active thinking and doing, not endless worksheets and timed tests. Classroom instruction and materials, however, often don't feel aligned with these realities. In Developing Numerical Fluency, Patsy Kanter and Steven Leinwand take a fresh look at a commonly-asked question: "How do I teach number facts so my students know them fluently?" They apply their decades of experience teaching mathematics to rethinking effective fluency instruction. Classroom-tested ideas you can use right away Each chapter introduces ideas, techniques, and strategies that contribute to meaningful fluency for all students. You'll find: pivotal understandings that illuminate what contributes to real numerical fluency six instructional processes that support lasting fluency development classroom structures and activities for building fluency in addition, subtraction, multiplication, and division suggestions for creating a school-wide culture of numerical fluency. Patsy and Steve remind us that, "Students do not develop numerical fluency by memorizing and regurgitating rules." But many of us learned mathematics in exactly this way, making shifting our instruction challenging. Developing Numerical Fluency provides just the right support, offering big ideas for rethinking instruction paired with classroom-tested activities you can use right away.