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.


Figuring Out Fluency - Addition and Subtraction With Whole Numbers

Figuring Out Fluency - Addition and Subtraction With Whole Numbers

Author: John J. SanGiovanni

Publisher: Corwin Press

Published: 2021-07-27

Total Pages: 193

ISBN-13: 1071825100

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or 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 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. 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

Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals

Author: Jennifer M. Bay-Williams

Publisher: Corwin Press

Published: 2022-01-03

Total Pages: 272

ISBN-13: 1071862162

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or 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 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 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 Whole Numbers

Figuring Out Fluency - Addition and Subtraction with Whole Numbers

Author: John SanGiovanni

Publisher:

Published: 2022

Total Pages:

ISBN-13: 9781071851586

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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"--


Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals

Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals

Author: Jennifer M. Bay-Williams

Publisher: Corwin Press

Published: 2021-12-19

Total Pages: 241

ISBN-13: 1071825976

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or 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 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 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--Ten Foundations for Reasoning Strategies With Whole Numbers

Figuring Out Fluency--Ten Foundations for Reasoning Strategies With Whole Numbers

Author: John J. SanGiovanni

Publisher: Corwin Press

Published: 2024-03-22

Total Pages: 281

ISBN-13: 1071938304

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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 Figuring Out Fluency in Mathematics Teaching and Learning 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. Figuring Out Fluency-Ten Underlying Foundations for Reasoning Strategies 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 Help children develop these foundational understandings, critical to reasoning and number sense. Leverage over 100 classroom-ready routines, centers, and games to develop these concepts both in first instruction, practice, and intervention. Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation Develop each and every students’ knowledge and power to become skilled and confident mathematical thinkers and doers.


Figuring Out Fluency - Multiplication and Division With Fractions and Decimals

Figuring Out Fluency - Multiplication and Division With Fractions and Decimals

Author: Jennifer M. Bay-Williams

Publisher: Corwin Press

Published: 2022-03-02

Total Pages: 225

ISBN-13: 1071825933

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or 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 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 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 multiplying and dividing fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of multiplication and division 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.


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.


Number Talks

Number Talks

Author: Sherry Parrish

Publisher: Math Solutions

Published: 2010

Total Pages: 434

ISBN-13: 1935099116

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"A multimedia professional learning resource"--Cover.


Figuring Out Fluency – Operations With Rational Numbers and Algebraic Equations

Figuring Out Fluency – Operations With Rational Numbers and Algebraic Equations

Author: Jennifer M. Bay-Williams

Publisher: Corwin Press

Published: 2022-07-25

Total Pages: 233

ISBN-13: 1071825194

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"This book is awesome! What stood out to me was the deep understanding I was able to have about what fluency actually means. Too often the message has been fluency and accuracy, especially at the middle school level. By providing teachers with tools for building fluency with integers, expressions, and algebra, this book shifts that message to also focus on flexibility and strategy selection." Lindsey Henderson Secondary Mathematics Specialist, Utah State Board of Education Salt Lake City, UT Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or 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 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—Operations With Rational Numbers and Algebraic Equations. With this book, teachers can Dive deeper into the Significant Strategies for fluency explained in the anchor book as they apply to rational number operations Explore how these strategies can be applied for proportional reasoning, solving equations for unknowns, and solving systems of linear equations Access over 100 classroom-ready activities, including worked examples, routines, and games. Find activities to explicitly teach students how to use and choose strategies to operate on rational numbers and solve algebraic equations 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.