Figuring Out Fluency Addition And Subtraction With Whole Numbers

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

Jennifer M. Bay-Williams,John J. SanGiovanni
Figuring Out Fluency in Mathematics Teaching and Learning Grades K 8 Book PDF

Author : Jennifer M. Bay-Williams,John J. SanGiovanni
Publisher : Corwin
Page : 265 pages
File Size : 53,8 Mb
Release : 2021-03-02
Category : Education
ISBN : 9781071818435

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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 by Jennifer M. Bay-Williams,John J. SanGiovanni Pdf

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 Fractions and Decimals

Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh
Figuring Out Fluency Addition and Subtraction With Fractions and Decimals Book PDF

Author : Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh
Publisher : Corwin Press
Page : 272 pages
File Size : 47,7 Mb
Release : 2022-01-03
Category : Education
ISBN : 9781071862162

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Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals by Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh Pdf

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

John SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano
Figuring Out Fluency Addition and Subtraction with Whole Numbers Book PDF

Author : John SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano
Publisher : Unknown
Page : 128 pages
File Size : 40,6 Mb
Release : 2022
Category : Arithmetic
ISBN : 1071851586

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Figuring Out Fluency - Addition and Subtraction with Whole Numbers by John SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano Pdf

"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 - Multiplication and Division With Fractions and Decimals

Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh
Figuring Out Fluency Multiplication and Division With Fractions and Decimals Book PDF

Author : Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh
Publisher : Corwin Press
Page : 225 pages
File Size : 47,8 Mb
Release : 2022-03-02
Category : Education
ISBN : 9781071825938

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Figuring Out Fluency - Multiplication and Division With Fractions and Decimals by Jennifer M. Bay-Williams,John J. SanGiovanni,Sherri Martinie,Jennifer Suh Pdf

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

Jennifer Bay-Williams,Gina Kling
Math Fact Fluency Book PDF

Author : Jennifer Bay-Williams,Gina Kling
Publisher : ASCD
Page : 206 pages
File Size : 40,5 Mb
Release : 2019-01-14
Category : Education
ISBN : 9781416627227

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Math Fact Fluency by Jennifer Bay-Williams,Gina Kling Pdf

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.

Fluency Doesn't Just Happen with Addition and Subtraction

Nicki Newton,Ann Elise Record,Alison J. Mello
Fluency Doesn t Just Happen with Addition and Subtraction Book PDF

Author : Nicki Newton,Ann Elise Record,Alison J. Mello
Publisher : Routledge
Page : 248 pages
File Size : 40,5 Mb
Release : 2019-10-28
Category : Education
ISBN : 9780429619212

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Fluency Doesn't Just Happen with Addition and Subtraction by Nicki Newton,Ann Elise Record,Alison J. Mello Pdf

Fluency in math doesn’t just happen! It is a well-planned journey. In this book, you’ll find practical strategies and activities for teaching your elementary students basic addition and subtraction facts. The authors lay out the basic framework for building math fluency using a cycle of engagement (concrete, pictorial, abstract) and provide a multitude of examples illustrating the strategies in action. You’ll learn how to: help students to model their thinking with a variety of tools; keep students engaged through games, poems, songs, and technology; assess student development to facilitate active and continuous learning; implement distributed practices throughout the year; boost parental involvement so that students remain encouraged even as material becomes more complex. A final chapter devoted to action plans will help you put these strategies into practice in your classroom right away. Most importantly, you’ll open the door to deep and lasting math fluency.

Strategies for Teaching Whole Number Computation

David B. Spangler
Strategies for Teaching Whole Number Computation Book PDF

Author : David B. Spangler
Publisher : Corwin Press
Page : 224 pages
File Size : 42,9 Mb
Release : 2010-06-02
Category : Education
ISBN : 9781452296340

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Strategies for Teaching Whole Number Computation by David B. Spangler Pdf

Through error analysis and targeted instruction, you can uncover students' misconceptions in addition, subtraction, multiplication, and division and help students understand and correct their own mistakes!

Mine the Gap for Mathematical Understanding, Grades K-2

John SanGiovanni
Mine the Gap for Mathematical Understanding Grades K 2 Book PDF

Author : John SanGiovanni
Publisher : Corwin Press
Page : 384 pages
File Size : 42,5 Mb
Release : 2016-11-15
Category : Education
ISBN : 9781506382296

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Mine the Gap for Mathematical Understanding, Grades K-2 by John SanGiovanni Pdf

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 young learners’ 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 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. 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: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct “gap” commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. 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

John SanGiovanni
Mine the Gap for Mathematical Understanding Grades 3 5 Book PDF

Author : John SanGiovanni
Publisher : Corwin Press
Page : 384 pages
File Size : 55,9 Mb
Release : 2016-09-16
Category : Education
ISBN : 9781506375502

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Mine the Gap for Mathematical Understanding, Grades 3-5 by John SanGiovanni Pdf

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: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct “gap” commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. 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.

Figuring Out Fluency - Addition and Subtraction With Whole Numbers

John J. SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano
Figuring Out Fluency Addition and Subtraction With Whole Numbers Book PDF

Author : John J. SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano
Publisher : Corwin Press
Page : 192 pages
File Size : 49,7 Mb
Release : 2021-07-27
Category : Education
ISBN : 9781071825105

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Figuring Out Fluency - Addition and Subtraction With Whole Numbers by John J. SanGiovanni,Jennifer M. Bay-Williams,Rosalba Serrano Pdf

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 - Multiplication and Division with Whole Numbers

John SanGiovanni,Jennifer M Bay-Williams,Rosalba Serrano
Figuring Out Fluency Multiplication and Division with Whole Numbers Book PDF

Author : John SanGiovanni,Jennifer M Bay-Williams,Rosalba Serrano
Publisher : Corwin Publishers
Page : 194 pages
File Size : 42,9 Mb
Release : 2022
Category : Division
ISBN : 1071851551

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Figuring Out Fluency - Multiplication and Division with Whole Numbers by John SanGiovanni,Jennifer M Bay-Williams,Rosalba Serrano Pdf

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 - 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 - Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

Number Sense Routines

Jessica Shumway
Number Sense Routines Book PDF

Author : Jessica Shumway
Publisher : Taylor & Francis
Page : 193 pages
File Size : 41,5 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839781

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Number Sense Routines by Jessica Shumway Pdf

In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.

Helping Children Learn Mathematics

National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
Helping Children Learn Mathematics Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
Publisher : National Academies Press
Page : 52 pages
File Size : 50,5 Mb
Release : 2002-07-31
Category : Education
ISBN : 9780309131988

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Helping Children Learn Mathematics by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee Pdf

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we’re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Mathematize It! [Grades K-2]

Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak
Mathematize It Grades K 2 Book PDF

Author : Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak
Publisher : Corwin Press
Page : 184 pages
File Size : 42,6 Mb
Release : 2020-04-23
Category : Education
ISBN : 9781071811375

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Mathematize It! [Grades K-2] by Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak Pdf

"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Mine the Gap for Mathematical Understanding, Grades 6-8

John SanGiovanni,Jennifer Rose Novak
Mine the Gap for Mathematical Understanding Grades 6 8 Book PDF

Author : John SanGiovanni,Jennifer Rose Novak
Publisher : Corwin Press
Page : 408 pages
File Size : 54,9 Mb
Release : 2017-09-12
Category : Education
ISBN : 9781506379838

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Mine the Gap for Mathematical Understanding, Grades 6-8 by John SanGiovanni,Jennifer Rose Novak Pdf

See a gap in understanding? Mine it to move your students forward. How good are you at exploiting students’ mathematical mistakes? In this remarkable book, the authors remind us that student mistakes are not random, and when we take the time to “mine the gap,” we can dispel misunderstandings before they take root. Included are 180 downloadable high-quality tasks, aligned to the standards and big ideas of grades 6–8 mathematics. Each task includes sample student work, commentary on strengths and gaps, and next instructional steps. Whether you use this bank of tasks for instruction or assessment, you will love how it helps you easily identify students’ thinking and then follow up with instruction that brings clear, complete understanding.