Figuring Out Fluency Ten Foundations For Reasoning Strategies With Whole Numbers

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Figuring Out Fluency Ten Foundations For Reasoning Strategies With Whole Numbers
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2024-03-22
Figuring Out Fluency Ten Foundations For Reasoning Strategies With Whole Numbers written by John J. SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-22 with Education categories.
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.
Developing Mathematical Reasoning
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Author : Pamela Weber Harris
language : en
Publisher: Corwin Press
Release Date : 2025-03-17
Developing Mathematical Reasoning written by Pamela Weber Harris and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Education categories.
Math is not rote-memorizable. Math is not random-guessable. Math is figure-out-able. Author Pam Harris argues that teaching real math—math that is free of distortions—will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math "easier" are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers alike have been led to believe that they’ve learned more and more math, but in reality their brains never get any stronger. Using these tricks may make facts easier to memorize in isolation, but that very disconnect distorts the reality of math. In her landmark book Developing Mathematical Reasoning: Avoiding the Trap of Algorithms, Pam emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. Now, in this first companion volume, Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2, she demonstrates how counting and additive strategies serve as the foundation for creating efficient, accurate, and flexible thinkers. Everyone is capable of understanding and doing real math. This book: Gives step-by-step guidance on how to teach the strategies, models, and big ideas that foster confidence and long-term success, preparing students for increasingly complex mathematical challenges Offers the "what to do" to teach counting, addition, and subtraction in ways that promote reasoning over rote memorization Provides practical tools such as problem strings, models, classroom routines, and discussion questions designed to implement reasoning-based practices Includes supporting resources for creating a classroom culture where students see math as figure-out-able and gain confidence as mathematical thinkers By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math-even the very youngest students!
Figuring Out Fluency In Mathematics Teaching And Learning Grades K 8
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Author : Jennifer M. Bay-Williams
language : en
Publisher: Corwin
Release Date : 2021-03-02
Figuring Out Fluency In Mathematics Teaching And Learning Grades K 8 written by Jennifer M. Bay-Williams and has been published by Corwin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Education categories.
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.
Math Therapytm
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Author : Vanessa Vakharia
language : en
Publisher: Corwin Press
Release Date : 2024-08-08
Math Therapytm written by Vanessa Vakharia and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-08 with Education categories.
Anything is possible – even building a better relationship with math! This is much more than a book about math. This is a book about hope. Imagine failing 11th grade math – twice! – and going on to be known affectionately as The Lady Gaga of Math. That is the story of author Vanessa "The Math Guru" Vakharia. Thanks to an inspiring teacher who helped Vanessa heal her own relationship with math, Vanessa was then able to see math in a way that literally changed the trajectory of her life. Most people have experienced math trauma at least once, but by early-mid elementary school, many students have gotten the message that either they are a math person or they are not. In Math TherapyTM, Vanessa shows that with the right tools and strategies, teachers can foster a culture in which every student is capable of building a better relationship with math – and with themselves. Through the five M’s of Math TherapyTM—Mythbust, Moderate, Motivate, Makeover, and Measure—teachers can help their students overcome math trauma, cultivate a positive math identity, and develop a mathematical mindset. Written in a fun and conversational style, and grounded in research on math education and neuropsychology, this book Provides practical, hands-on strategies and tools that make it easy and fun for teachers to implement each step of Math TherapyTM in their classroom Helps teachers unpack their own math history before diving in to what they can do to help their students Addresses the trauma-induced stumbling blocks that many students face when tackling mathematics Includes humorous and engaging real-life vignettes—from celebrating Pi Day by visiting a prison, to setting off a confetti cannon to celebrate a student’s milestone, to the time Vanessa′s band opened for Bon Jovi, and more! Much more than a book about helping students kick butt in math class, this book is about empowering students to develop the skills they need to live a life in which they truly believe that anything is possible, even a better relationship with math!
The Well Rounded Math Student
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Author : Sherri Martinie
language : en
Publisher: Corwin Press
Release Date : 2025-06-03
The Well Rounded Math Student written by Sherri Martinie and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Education categories.
Integrate a holistic approach to mathematics success with essential personal and social skills Teaching math is more than just numbers. It’s about shaping future-ready students who are not only academically strong but thrive socially and emotionally. Research shows that learning both intrapersonal and interpersonal skills helps students academically, and teachers play a crucial role in providing social-emotional support. The Well-Rounded Math Student helps mathematics teachers in Grades K-12 foster both their students′ academic prowess and their social and emotional development. Through the lens of the Standards for Mathematical Practice, the book emphasizes the importance of intentionally teaching and promoting intrapersonal and interpersonal skills, or "Next Generation" skills, alongside mathematical concepts. The authors provide step-by-step guidance on how small adjustments in lesson planning can have a profound impact on students′ growth. Providing teachers with a new lens to leverage in their planning as well as concrete ways to use their mathematics lessons to explicitly teach and reinforce social and emotional competencies, this book: Holds a strengths-based mindset and approach—for both teachers and students Highlights the importance of the science and the art of teaching to enhance social development, human connection, classroom management, and community within classrooms Stresses that the overarching goal of education is to help students become responsible adults who are ready for their future Includes a lesson planning guide, competency builder activities, vignettes of enhanced lessons across grade bands, reflection questions, and suggestions for taking action The Well-Rounded Math Student bridges critical intrapersonal and interpersonal elements to help educators create an environment where students excel in math and develop the life skills they’ll carry forever.
Daily Routines To Jump Start Geometry Measurement And Data Grades K 5
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2025-06-03
Daily Routines To Jump Start Geometry Measurement And Data Grades K 5 written by John J. SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Education categories.
Geometry, measurement, and data aren’t just math topics—they’re fundamental skills for understanding the world around us Geometry, measurement, and data concepts play a major role in everyday life. Yet, when it comes to teaching math in the elementary grades, these concepts can be overshadowed by other content, like number concepts, computation, or fractions. Instead, what if these ideas about measurement, geometry, and data were connected to number and computation? What if they were featured content for bursts of engagement, reasoning, and discussion? The bite-sized routines in this guide are just that! The routines in this book are perfect for teachers looking for interesting and doable daily practice that engage students in geometry, measurement, and data to foster reasoning, critical thinking, and sense-making. Daily Routines to Jump-Start Geometry, Measurement, and Data, Grades K-5 provides routines that are practical, easy-to -implement, and meant for quick engagements to ignite thinking and reasoning skills while being adaptable to various content. Fortified with standards for math practices and processes, this book Provides a collection of 20 routines with extensions and modifications for measurement, data, and geometry Includes a detailed example for each routine on why it matters, the challenges it addresses, and how to facilitate it in the classroom Offers guidance for selecting and introducing routines as well as how to design your own routines Helps you integrate the geometry, measurement, and data concepts earlier in the school year and can complement any curriculum or textbook program Features bonus activities that infuse money and time! Extends learning through a companion website that includes each routine as a downloadable and an editable set of PowerPoint slides that provides templates for making your own examples By implementing these daily routines, you can not only enhance your student′s understanding and engagement in geometry, measurement, and data but also foster a deeper connection between math and the real world.
Figuring Out Fluency Addition And Subtraction With Whole Numbers
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2021-07-27
Figuring Out Fluency Addition And Subtraction With Whole Numbers written by John J. SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Education categories.
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 Fractions And Decimals
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Author : Jennifer M. Bay-Williams
language : en
Publisher: Corwin Press
Release Date : 2022-03-02
Figuring Out Fluency Multiplication And Division With Fractions And Decimals written by Jennifer M. Bay-Williams and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-02 with Education categories.
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.
Rethinking Disability And Mathematics
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Author : Rachel Lambert
language : en
Publisher: Corwin Press
Release Date : 2024-04-08
Rethinking Disability And Mathematics written by Rachel Lambert and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-08 with Education categories.
Every child has a right to make sense of math, and to use math to make sense of their worlds. Despite their gifts, students with disabilities are often viewed from a deficit standpoint in mathematics classrooms. These students are often conceptualized as needing to be fixed or remediated. Rethinking Disability and Mathematics argues that mathematics should be a transformative space for these students, a place where they can discover their power and potential and be appreciated for their many strengths. Author Rachel Lambert introduces Universal Design for Learning for Math (UDL Math), a way to design math classrooms that empowers disabled and neurodiverse students to engage in mathematics in ways that lead to meaningful and joyful math learning. The book showcases how UDL Math can open up mathematics classrooms so that they provide access to meaningful understanding and an identity as a math learner to a wider range of students. Weaved throughout the book are the voices of neurodiverse learners telling their own stories of math learning. Through stories of real teachers recognizing the barriers in their own math classrooms and redesigning to increase access, the book: Reframes students with disabilities from a deficit to an asset perspective, paving the way for trusting their mathematical thinking Offers equitable math instruction for all learners, including those with disabilities, neurodiverse students, and/or multilingual learners Applies UDL to the math classroom, providing practical tips and techniques to support students′ cognitive, affective, and strategic development Immerses readers in math classrooms where all students are engaged in meaningful mathematics, from special education day classes to inclusive general education classrooms, from grades K-8. Integrates research on mathematical learning including critical math content such as developing number sense and place value, fluency with math facts and operations, and understanding fractions and algebraic thinking. Explores critical issues such as writing IEP goals in math This book is designed for all math educators, both those trained as general education teachers and those trained as special education teachers. The UDL Math approach is adapted to work for all learners because everyone varies in how they perceive the world and in how they approach mathematical problem solving. When we rethink mathematics to include multiple ways of being a math learner, we make math accessible and engaging for a wider group of learners.
Figuring Out Fluency Addition And Subtraction With Fractions And Decimals
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Author : Jennifer M. Bay-Williams
language : en
Publisher: Corwin Press
Release Date : 2022-01-03
Figuring Out Fluency Addition And Subtraction With Fractions And Decimals written by Jennifer M. Bay-Williams and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-03 with Education categories.
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.