Figuring Out Fluency Operations With Rational Numbers And Algebraic Equations
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Author | : Jennifer M. Bay-Williams |
Publisher | : Corwin Press |
Total Pages | : 233 |
Release | : 2022-07-25 |
Genre | : Education |
ISBN | : 1071825194 |
"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.
Author | : Jennifer M. Bay-Williams |
Publisher | : Corwin |
Total Pages | : 265 |
Release | : 2021-03-02 |
Genre | : Education |
ISBN | : 1071818430 |
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.
Author | : John J. SanGiovanni |
Publisher | : Corwin Press |
Total Pages | : 281 |
Release | : 2024-03-22 |
Genre | : Education |
ISBN | : 1071938304 |
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.
Author | : Jennifer M. Bay-Williams |
Publisher | : Corwin Press |
Total Pages | : 225 |
Release | : 2022-03-02 |
Genre | : Education |
ISBN | : 1071825933 |
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.
Author | : John J. SanGiovanni |
Publisher | : Corwin Press |
Total Pages | : 233 |
Release | : 2023-04-03 |
Genre | : Education |
ISBN | : 1071910671 |
Finally! A book that helps solve the problem of teaching problem-solving! 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 students’ 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!
Author | : Vanessa Vakharia |
Publisher | : Corwin Press |
Total Pages | : 321 |
Release | : 2024-08-08 |
Genre | : Education |
ISBN | : 1071961799 |
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!
Author | : Barbara J. Dougherty |
Publisher | : Corwin Press |
Total Pages | : 281 |
Release | : 2023-02-25 |
Genre | : Education |
ISBN | : 1071909185 |
Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed. Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students! That’s a problem. But the answer isn’t to supplement the curriculum with random tasks. Classroom Ready-Rich Math Tasks for Grades 6-12 equips you with a cohesive solution--50+ mathematical tasks that are rich, research-based, standards-aligned, and classroom-tested. The tasks: Are organized into learning progressions that help all students make the leap from arithmetic to algebra Offer students interesting mathematics problems to think about and solve so math is investigative, interactive, and engaging Provide opportunities for you to connect new content to prior knowledge or focus on an underdeveloped concept Engage students in conceptual understanding, procedural practice, and problem solving through critical thinking and application Come with downloadable planning tools, student resource pages, and extension questions Include additional support for students who may be struggling Every learner deserves opportunities to engage in meaningful, rigorous mathematics. And every teacher can develop mathematical thinking and reasoning abilities in students. Part of the bestselling series spanning elementary and middle school, Classroom-Ready Rich Algebra Tasks, Grades 6-12 is a powerful add-on to any core mathematics program at your school.
Author | : Holly Burwell |
Publisher | : Corwin Press |
Total Pages | : 449 |
Release | : 2024-08-23 |
Genre | : Education |
ISBN | : 1071963074 |
A yearlong learning adventure designed to help you build a vibrant math community A powerful math community is an active group of educators, students, and families, alive with positive energy, efficacy, and a passion for mathematics. Students, teachers, and leaders see themselves and each other as mathematically capable and experience mathematics as a joyful activity. Power Up Your Math Community is a hands-on, 10-month guide designed to help you and your school maximize your students’ math learning and strengthen your mathematics teaching and learning community. Each chapter offers a month’s worth of practice-based professional learning focused on a desired math habit alongside parallel math problems and learning activities for teachers to use themselves and with students. This format allows educators to work together to improve math teaching and learning across a school year, building a strong foundation for students′ mathematical proficiency, identity, and agency. The book ignites solutions and advocates for rigorous and joyful mathematics instruction for everyone—including school leaders, teachers, students, and their families. Authors Holly Burwell and Sue Chapman provide educators with a detailed roadmap for creating a positive and effective math community that supports all students′ mathematical learning by Offering guidance on building a math community with chapter vignettes and prompts such as Mathematical Me, Let’s Do Some Math, Since We Met Last, Let’s Try It, Math Talks, Manipulatives and Models Matter, Game Time, and more Emphasizing an assets-based approach to teaching math that recognizes the unique strengths and experiences of each student Providing strategies for promoting growth mindset in math and equity and inclusion in math education Focusing on both classroom-level and building-level improvement as well as offering support for teachers, instructional coaches, principals, and district leaders Power Up Your Math Community will inspire you to reimagine the way you teach math and empower you with the tools to make a lasting impact on your students′ mathematical understanding. So, get ready to power up your math community and watch as your students thrive in their mathematical journey!
Author | : Steven Leinwand |
Publisher | : Corwin Press |
Total Pages | : 161 |
Release | : 2024-10-12 |
Genre | : Education |
ISBN | : 1071973827 |
Boost confidence, reduce anxiety, and spark those "aha" moments for students through effective math tutoring! Filled with research-backed guidance for tutors to ensure students develop the confidence and skills they need, The Math Tutor′s Handbook: Strategies and Tips for Success is the ultimate guide for effective math tutoring. As national data suggest that students are falling behind in mathematics performance, the role of the math tutor is more critical than ever before. The authors bring decades of wisdom and know-how to the tutoring table. Steve Leinwand—a renowned leader in math education—and Caroline Welty—a sought-after tutor who brings current insight into today’s learners—have blended their collective experience into a comprehensive handbook that offers clear guidance for effective tutoring in grades K-12 mathematics. With their conversational style, the authors provide hands-on resources to help diagnose individuals’ mathematical strengths and needs to make sure that each tutoring session carries the necessary impact.. Through a range of activities, checklists, examples, stories, and suggestions, this handbook Focuses on the importance of personalized instruction that no computer program can match Describes how to develop strong, supportive relationships between tutor and student Identifies common stumbling blocks around the big ideas in mathematics across grade levels and suggests how to overcome them Celebrates mistakes as valuable learning opportunities to foster a deeper comprehension of mathematical concepts rather than just getting the right answer Promotes skills needed for the future, such as problem-solving and critical thinking, which are beneficial not only in future math classes but also in various aspects of life and work Let The Math Tutor′s Handbook empower you to create a positive learning environment for your students and help them boost self-confidence, reduce math anxiety, and master essential skills. Whether you are a private tutor or parent, you work in a tutoring center, or you are an in-school K-12 math teacher, coach, or specialist, this is the resource you need for the math tutoring strategies and practices that are foundational to successful learning.
Author | : Michael D. Steele |
Publisher | : Corwin Press |
Total Pages | : 157 |
Release | : 2024-07-19 |
Genre | : Education |
ISBN | : 1071953389 |
Foster a love of mathematics by creating a more inclusive and empowering learning environment through asset-based teaching! An asset-based perspective on math education means starting with what students already know instead of focusing on what’s missing. This approach elevates student thinking and reasoning skills. In this way, educators acknowledge that all students bring prior experiences, strengths, talents, and resources to the learning process and can contribute meaningfully in an authentic learning environment. Transform Your Math Class Using Asset-Based Teaching for Grades 6-12 provides insight into asset-based perspectives in mathematics education to create an environment where all students feel valued and capable of being doers of mathematics. In the book, Michael Steele and Joleigh Honey highlight the importance of using language, instructional routines, and systemic structure that positively impact student engagement, their math identity, and ultimately their outcomes. Providing a wealth of knowledge and practical strategies that can be used to transform math classrooms into inclusive, supportive, and empowering learning environments, this book: Introduces an asset-based perspective that focuses on students′ strengths, assets, and potential to learn mathematics Includes a variety of frameworks and tools that teachers can use to build and grow their sense of asset-based perspectives Offers strategies for promoting a growth mindset in mathematics, encouraging productive struggle in math, and promoting equitable math instruction Supports teachers in reflecting on their decisions, self-awareness, and self-management Includes a companion online study guide to support teachers individually or as part of a professional learning community Adopting asset-based perspectives is about movement over time, not about flipping a switch. This book paves the path for an asset-based journey that ultimately helps to transform our math classrooms and advance all students’ learning and development.