Benefits Of Small Group Instruction In Math

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  benefits of small group instruction in math: Making Sense of Mathematics for Teaching the Small Group Juli K. Dixon, Lisa A. Brooks, Melissa R. Carli, 2018-07-13 When done right, small-group instruction is a powerful tool for facilitating student understanding in K-5 mathematics. Throughout the book, best practices for small-group math instruction are addressed in detail, from planning tasks that encourage deep understanding to asking effective questions to engaging learners in meaningful conversations. Readers will learn how teaching mathematics in small groups allows you to differentiate instruction for both remediation and enrichment. The included small-group instruction videos demonstrate the suggested strategies in a real-classroom setting, giving readers the opportunity to see best practice in action. Develop math-specific instruction strategies for teaching small groups in elementary school: Explore the benefits of small-group math activities and how these activities are unique compared to large-group instruction. Discover the teacher's and students' roles in small-group instruction and how teachers can help students develop the skills to fulfill their role. Learn how to apply the general tasks, questions, and evidence (TQE) process to small-group instruction in order to enhance student learning and improve your knowledge of teaching mathematics. View examples of small-group instruction, which provide both math intervention and math enrichment activities for different students. Contents: Acknowledgments Table of Contents About the Authors Introduction Chapter 1: Best Practices in Small-Group Instruction Chapter 2: The TQE Process in Small-Group Instruction Chapter 3: Discourse in Small-Group Instruction Epilogue: How to Tie It All Together References Index
  benefits of small group instruction in math: Guided Math: A Framework for Mathematics Instruction Sammons, Laney, 2017-03-01 Use a practical approach to teaching mathematics that integrates proven literacy strategies for effective instruction. This professional resource will help to maximize the impact of instruction through the use of whole-class instruction, small-group instruction, and Math Workshop. Incorporate ideas for using ongoing assessment to guide your instruction and increase student learning, and use hands-on, problem-solving experiences with small groups to encourage mathematical communication and discussion. Guided Math supports the College and Career Readiness and other state standards.
  benefits of small group instruction in math: Making Sense of Mathematics for Teaching, Grades 3-5 Juli K. Dixon, Edward C. Nolan, 2016-04-11 Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
  benefits of small group instruction in math: Making Sense of Mathematics for Teaching the Small Group Juli K. Dixon, Lisa A. Brooks, Melissa R. Carli, 2018
  benefits of small group instruction in math: The On-Your-Feet Guide to Blended Learning Catlin R. Tucker, 2019-04-02 Blended learning is more than just teaching with technology; it allows teachers to maximize learning through deliberate instructional moves. This On-Your-Feet Guide zeroes in on one blended learning routine: Station Rotation. The Station Rotation model moves small groups of students through a series of online and off-line stations, building conceptual understanding and skills along the way. This On-Your-Feet-Guide provides: 7 steps to planning a Station Rotation lesson A full example of one teacher's Station Rotation A blank planning template for designing your own Station Rotation Helpful assessment strategies for monitoring learning at each station Ideas to adapt for low-tech classrooms or large class sizes Use blended learning to maximize learning and keep kids constantly engaged through your next Station Rotation lesson! Laminated, 8.5”x11” tri-fold (6 pages), 3-hole punched
  benefits of small group instruction in math: The Math Teacher's Toolbox Bobson Wong, Larisa Bukalov, 2020-04-28 Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.
  benefits of small group instruction in math: Reading and Writing with English Learners Valentina Gonzalez, Dr. Melinda Miller, 2020-09-15 Reading & Writing with English Learners offers kindergarten through fifth grade reading and writing educators a user-friendly guide and framework for supporting English learners in balanced literacy classrooms. Authors Valentina Gonzalez and Melinda Miller lead readers in exploring the components of Reading & Writing with English Learners with a special eye for increasing the effectiveness of instructional methods and quality of instruction to serve English learners. This book shares practical and effective techniques for accommodating reading and writing instruction to design learning that simultaneously increases literacy and language development. Reading & Writing with English Learners was written for: • K-5 Classroom Teachers • ESL Teachers • Reading and Writing Instructional Coaches • District Leaders Reading & Writing with English Learners includes: • the components of Reading & Writing Workshop • accommodations that support English Learners • high yield practices for Reading & Writing Workshop during remote teaching • the role of phonics • a culturally inclusive booklist • activities that support Reading & Writing Workshop And more!
  benefits of small group instruction in math: Making Math Workshop Work Middle School Math Man, Alex O'Connor, 2018-12-31 Are you looking to find a way to reach all of your students every day? Teacher and education blogger, Alex O'Connor, shares his practical, classroom-tested strategies to implement math workshop in the classroom. This book includes everything you need to get math workshop started in your classroom.
  benefits of small group instruction in math: Teaching Writing in Small Groups Jennifer Serravallo, 2021-03-09
  benefits of small group instruction in math: Response to Intervention in Math Paul J. Riccomini, Bradley S. Witzel, 2010 Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities.
  benefits of small group instruction in math: Policies to Address Poverty in America Melissa Kearney, Benjamin Harris, 2014-06-19 One-in-seven adults and one-in-five children in the United States live in poverty. Individuals and families living in povertyÊnot only lack basic, material necessities, but they are also disproportionally afflicted by many social and economic challenges. Some of these challenges include the increased possibility of an unstable home situation, inadequate education opportunities at all levels, and a high chance of crime and victimization. Given this growing social, economic, and political concern, The Hamilton Project at Brookings asked academic experts to develop policy proposals confronting the various challenges of AmericaÕs poorest citizens, and to introduce innovative approaches to addressing poverty.ÊWhen combined, the scope and impact of these proposals has the potential to vastly improve the lives of the poor. The resulting 14 policy memos are included in The Hamilton ProjectÕs Policies to Address Poverty in America. The main areas of focus include promoting early childhood development, supporting disadvantaged youth, building worker skills, and improving safety net and work support.
  benefits of small group instruction in math: Beyond Think-Pair-Share Christina M. Krantz, Laura Gullette Smith, 2020-10-26 This book shows you how to teach K-12 students to work in pairs and groups more effectively, so that true collaboration can happen in the classroom. Coming from their experience in social work and classroom teaching, Christina M. Krantz and Laura Gullette Smith explain the problems that can occur with traditional Think-Pair-Share models and offer refreshing solutions. They provide practical strategies to help students build collegial peer relationships, learn to share tasks, and hold deeper discussions. Each chapter offers useful strategies that you can implement immediately. This book includes an invaluable appendix of resources that the authors share when leading workshops, as well as rubrics, agendas, and classroom tools designed with the strategies covered in each chapter in mind.
  benefits of small group instruction in math: The ESL / ELL Teacher's Survival Guide Larry Ferlazzo, Katie Hull Sypnieski, 2012-08-06 A much-needed resource for teaching English to all learners The number of English language learners in U.S. schools is projected to grow to twenty-five percent by 2025. Most teachers have English learners in their classrooms, from kindergarten through college. The ESL/ELL Teacher?s Survival Guide offers educators practical strategies for setting up an ESL-friendly classroom, motivating and interacting with students, communicating with parents of English learners, and navigating the challenges inherent in teaching ESL students. Provides research-based instructional techniques which have proven effective with English learners at all proficiency levels Offers thematic units complete with reproducible forms and worksheets, sample lesson plans, and sample student assignments The book?s ESL lessons connect to core standards and technology applications This hands-on resource will give all teachers at all levels the information they need to be effective ESL instructors.
  benefits of small group instruction in math: Making Sense of Mathematics for Teaching Juli K. Dixon, Edward C. Nolan, Thomasenia Lott Adams, Lisa A. Brooks, Tashana D. Howse, 2016 With Making sense of mathematics for teaching grades K-2: the TQE process, participants have the opportunity to engage in mathematics as learners. This unscripted video program addresses three specific goals: (1) to explore meaningful tasks as learners of mathematics for teaching, (2) to make sense of the TQE process (tasks, questioning, and evidence), and (3) to create a shared vision of classrooms where teachers are supporting the TQE process and students are engaged in meaningful mathematics learning experiences. The program accomplishes these goals through the use of challenging tasks for teachers, effective questions related to classroom content, and classroom video showing tasks modeled during instruction.--Container
  benefits of small group instruction in math: Revisiting Mathematics Education Hans Freudenthal, 2005-12-08 This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.
  benefits of small group instruction in math: Making Sense of Mathematics for Teaching Grades 6-8 Edward C. Nolan, Juli K. Dixon, 2016-04-13 Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index
  benefits of small group instruction in math: Guided Math Workshop Laney Sammons, Donna Boucher, 2017-03-01 This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.
  benefits of small group instruction in math: How to Differentiate Instruction in Academically Diverse Classrooms Carol Ann Tomlinson, 2017-03-22 First published in 1995 as How to Differentiate Instruction in Mixed-Ability Classrooms, this new edition reflects evolving best practices, practitioners' experience, and Tomlinson's ongoing thinking about how to help all students access high-quality curriculum; engage in meaningful learning experiences; and feel safe and valued in their school. Written as a practical guide for teachers, this expanded 3rd edition of Carol Ann Tomlinson's groundbreaking work covers the fundamentals of differentiation and provides additional guidelines and new strategies for how to go about it. You'll learn What differentiation is and why it's essential How to set up the flexible and supportive learning environment that promotes success How to manage a differentiated classroom How to plan lessons differentiated by readiness, interest, and learning profile How to differentiate content, process, and products How to prepare students, parents, and yourself for the challenge of differentiation We differentiate instruction to honor the reality of the students we teach. They are energetic and outgoing. They are quiet and curious. They are confident and self-doubting. They are interested in a thousand things and deeply immersed in a particular topic. They are academically advanced and kids in the middle and struggling due to cognitive, emotional, economic, or sociological challenges. More of them than ever speak a different language at home. They learn at different rates and in different ways. And they all come together in our academically diverse classrooms.
  benefits of small group instruction in math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 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.
  benefits of small group instruction in math: Meaningful Small Groups in Math, Grades K-5 Kimberly Rimbey, 2022-08-19 Target the Math...Support the Students...Provide Access for All The need for focused small group math instruction has never been greater. Today’s education landscape is fraught with learning divides unlike anything we’ve faced in recent years. We need new ways of teaching students who have remarkably varying levels of understanding and vastly different needs. Meaningful Small Groups in Math, Grades K-5 offers practical guidance on how to meet the diverse needs of today’s students. Written for K-5 classroom teachers, math interventionists and instructional coaches, this user-friendly, accessible book provides guidance on the necessary components of small group instruction in math, trajectories for small-group instruction on specific concepts, and practical steps for getting started. Readers will find Checklists and templates for implementing small group, sample lessons in the major content domains Emphasis on flexible groups Intervention and extension ideas for differentiating learning A chapter devoted to developing small-group programs across a school or organization Small group instruction in mathematics has not been as well-developed as its counterpart in the reading world. In K-5 math classrooms, small-group instruction has typically been reduced to learning centers and rotation stations, with little emphasis on differentiated, small-group, teacher-facilitated learning. To meet the needs of today’s students, a more focused approach is needed.
  benefits of small group instruction in math: Detracking for Excellence and Equity Carol Corbett Burris, Delia T. Garrity, 2008 Proven strategies for launching, sustaining, and monitoring a reform that will offer all students access to the best curriculum, raise achievement across the board, and close the achievement gap.
  benefits of small group instruction in math: Culturally Responsive Teaching Geneva Gay, 2010 The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of English Plus instruction.
  benefits of small group instruction in math: Math Work Stations Debbie Diller, 2023-10-10 If you' ve ever questioned how to make math stations work, you' ll find this photo-filled, idea-packed resource invaluable. This book extends Debbie Diller' s best-selling work on literacy work stations and classroom design to the field of mathematics. In Math Work Stations you' ll find ideas to help children develop conceptual understanding and skills, use math vocabulary as they talk about their mathematical thinking, and connect big ideas to meaningful independent exploration and practice. This book details how to set up, manage, and keep math stations going throughout the year. There' s even a chapter devoted solely to organizing and using math manipulatives. Each chapter includes: key concepts based on NCTM and state math standards; math vocabulary resources and literature links; suggested materials to include at each station for the corresponding math content strand; ideas for modeling, troubleshooting, differentiating, and assessment; and reflection questions for professional development.Throughout the book, Debbie has included hundreds of color photos showing math work stations in action from a variety of classrooms in which she has worked. Charts, reproducible forms, and math work stations icons are included to provide everything you' ll need to get started with stations in your classroom right away.
  benefits of small group instruction in math: Math Exchanges Kassia Omohundro Wedekind, 2011 Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous math exchanges. The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?
  benefits of small group instruction in math: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
  benefits of small group instruction in math: Five Practices for Orchestrating Productive Mathematics Discussions Margaret Schwan Smith, Mary Kay Stein, 2011 Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.
  benefits of small group instruction in math: Questioning the Author Isabel L. Beck, 1997 To address the concern that students are not actively engaging with what they read, the authors present a strategy called Questioning the Author (QtA), an approach designed to establish student interactions with text to build greater understanding. Contents: -Introduction Chapter 1: What Is Questioning the Auther and How Was It Developed? Chapter 2: Queries Chapter 3: Planning Chapter 4: Discussion Chapter 5: Implementation Chapter 6: Where Has Questioning the Author Been and Where Is It Going?
  benefits of small group instruction in math: Rough Draft Math Amanda Jansen, 2023-10-10 Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. In Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '
  benefits of small group instruction in math: Mastering Math Manipulatives, Grades 4-8 Sara Delano Moore, Kimberly Rimbey, 2021-10-04 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness.
  benefits of small group instruction in math: Making Sense of Mathematics for Teaching High School Edward C. Nolan, Juli K. Dixon, Farhsid Safi, Erhan Selcuk Haciomeroglu, 2016-05-19 Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index
  benefits of small group instruction in math: Classroom Discussions Suzanne H. Chapin, Mary Catherine O'Connor, Nancy Canavan Anderson, 2009 Based on a four-year research project funded by the U.S. Department of Education, this book is divided into four sections: Talk in the Mathematics Class (introducing five discussion strategies, or “moves,” that help teachers achieve their instructional goal of strengthening students’ mathematical thinking and learning), What Do We Talk About?, Implementing Talk in the Classroom, and Case Studies.--pub. desc.
  benefits of small group instruction in math: Equity by Design Mirko Chardin, Katie Novak, 2020-07-20 Our calling is to drop our egos, commit to removing barriers, and treat our learners with the unequivocal respect and dignity they deserve. --Mirko Chardin and Katie Novak When it comes to the hard work of reconstructing our schools into places where every student has the opportunity to succeed, Mirko Chardin and Katie Novak are absolutely convinced that teachers should serve as our primary architects. And by teachers they mean legions of teachers working in close collaboration. After all, it’s teachers who design students’ learning experiences, who build student relationships . . . who ultimately have the power to change the trajectory of our students’ lives. Equity by Design is intended to serve as a blueprint for teachers to alter the all-too-predictable outcomes for our historically under-served students. A first of its kind resource, the book makes the critical link between social justice and Universal Design for Learning (UDL) so that we can equip students (and teachers, too) with the will, skill, and collective capacity to enact positive change. Inside you’ll find: Concrete strategies for designing and delivering a culturally responsive, sustainable, and equitable framework for all students Rich examples, case studies, and implementation spotlights of educators, students (including Parkland survivors), and programs that have embraced a social justice imperative Evidence-based application of best practices for UDL to create more inclusive and equitable classrooms A flexible format to facilitate use with individual teachers, teacher teams, and as the basis for whole-school implementation Every student, Mirko and Katie insist, deserves the opportunity to be successful regardless of their zip code, the color of their skin, the language they speak, their sexual and/or gender identity, and whether or not they have a disability. Consider Equity by Design a critical first step forward in providing that all-important opportunity. Also From Corwin: Hammond/Culturally Responsive Teaching & the Brain: 9781483308012 Moore/The Guide for White Women Who Teach Black Boys: 9781506351681 France/Reclaiming Professional Learning: 9781544360669
  benefits of small group instruction in math: Guided Math AMPED Reagan Tunstall, 2021-03-31 In today's classrooms, the instructional needs and developmental levels of our students are highly varied, and the conventional math whole-group model has its downsides. In contrast to the rigid, one-size-ts-all approach of conventional whole-group instruction, guided math allows us to structure our math block to support student learning in risk-free, small-group instruction. Guided math goes beyond just reorganizing your math block; it also gives you an opportunity to approach math instruction with a renewed sense of perspective and purpose. Drawing on two decades of experience, Reagan Tunstall oers step-by-step best practices to help educators revolutionize their math blocks with a student-centered approach. Whether you're a new teacher who's curious about guided math or a veteran educator looking to hone your methodology, Guided Math AMPED will transform your math block into an exciting and engaging encounter that encourages your students to see themselves as genuine mathematicians. Most educators have come to realize that the magic happens at the teacher table or during small-group instruction. If that's the case, Guided Math AMPED is the spell book. -JENNIFER SALYARDS, M.Ed., principal, Chamberlin Elementary, Stephenville ISD Guided Math AMPED provides educators with a practical framework for enhancing math instruction in a way that provides research-based practices, differentiated instruction, and fun, all while strengthening relationships with students and developing math mindsets. No matter your experience or tenure in education, Guided Math AMPED will give you tips and tricks to implement in your classroom. -MATT BERES, district administrator, Wooster, OH Guided math is one of the best things you can implement in your classroom, and Reagan Tunstall is the best to learn from, thanks to her perfect framework and step-by-step instructions. She has thought through every potential roadblock and offers concise solutions because she's experienced it all in her own classroom. -HALEE SIKORSKI, educator, A Latte Learning Don't you dare let another teacher borrow this book . . . you may never get it back! From the rst page to the end, this book is lled with practical ideas and guidelines guaranteed to take your guided math block to the next level. -LORI MCDONALD, M.Ed., retired educator
  benefits of small group instruction in math: Integrating Literacy and Math Ellen Fogelberg, Carole Skalinder, Patti Satz, Barbara Hiller, Lisa Bernstein, Sandra Vitantonio, 2013-10-15 Many K–6 teachers--and students--still think of mathematics as a totally separate subject from literacy. Yet incorporating math content into the language arts block helps students gain skills for reading many kinds of texts. And bringing reading, writing, and talking into the math classroom supports the development of conceptual knowledge and problem solving, in addition to computational skills. This invaluable book thoroughly explains integrated instruction and gives teachers the tools to make it a reality. Grounded in current best practices for both language arts and math, the book includes planning advice, learning activities, assessment strategies, reproducibles, and resources, plus a wealth of examples from actual classrooms.
  benefits of small group instruction in math: Investing in Children Ariel Kalil, Ron Haskins, Jenny Chesters, 2012-05-03 Investing in Children: Work, Education, and Social Policy in Two Rich Countries presents new research by leading scholars in Australia and the United States on economic factors that influence children's development and the respective social policies that the two nations have designed to boost human capital development. The volume is organized around three major issues: parental employment, early childhood education and child care, and postsecondary education. All three issues are intimately linked with human capital development. Since both Australia and the United States have created extensive policies to address these three issues, there is potential for each to learn from the other's experiences and policies. This volume helps fulfill that potential. The authors demonstrate that in both nations, the effects of low family income and income inequality emerge early in life and persist. However, policies that increase parental employment, augment family income, and promote quality preschool and postsecondary education can boost children's development and at least partially offset the negative developmental effects of family economic disadvantage.
  benefits of small group instruction in math: Two Teachers in the Room Elizabeth Stein, 2017 This new co-publication from Routledge and MiddleWeb provides a wealth of practical strategies and tips to help K-12 educators co-teach more effectively. Author Elizabeth Stein presents examples of different co-teaching models and shows how to cultivate a dynamic co-teaching relationship to benefit all students. Whether you're a brand new co-teacher or are simply looking to improve the dynamics in your classroom, the research-based strategies, vignettes, and ready-to-use assessment rubrics in this book will help you create a positive learning culture that influences all learners, teachers, and students alike. Topics include: Selecting and implementing the appropriate co-teaching model to optimize student learning; Developing an effective curriculum that plays to the strengths of both teachers; Creating a learning environment that promotes self-reflection and nurtures critical thinking; Accommodating all learners by embracing a multi-dimensional view of teacher knowledge; and Providing specific, attentive feedback to help students take charge of their learning. The book also features book discussion questions for each chapter so you can work with colleagues during book studies and PLCs.
  benefits of small group instruction in math: The Knowledge Gap Natalie Wexler, 2020-08-04 The untold story of the root cause of America's education crisis--and the seemingly endless cycle of multigenerational poverty. It was only after years within the education reform movement that Natalie Wexler stumbled across a hidden explanation for our country's frustrating lack of progress when it comes to providing every child with a quality education. The problem wasn't one of the usual scapegoats: lazy teachers, shoddy facilities, lack of accountability. It was something no one was talking about: the elementary school curriculum's intense focus on decontextualized reading comprehension skills at the expense of actual knowledge. In the tradition of Dale Russakoff's The Prize and Dana Goldstein's The Teacher Wars, Wexler brings together history, research, and compelling characters to pull back the curtain on this fundamental flaw in our education system--one that fellow reformers, journalists, and policymakers have long overlooked, and of which the general public, including many parents, remains unaware. But The Knowledge Gap isn't just a story of what schools have gotten so wrong--it also follows innovative educators who are in the process of shedding their deeply ingrained habits, and describes the rewards that have come along: students who are not only excited to learn but are also acquiring the knowledge and vocabulary that will enable them to succeed. If we truly want to fix our education system and unlock the potential of our neediest children, we have no choice but to pay attention.
  benefits of small group instruction in math: Math Fact Fluency Jennifer Bay-Williams, Gina Kling, 2019-01-14 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.
  benefits of small group instruction in math: How I Wish I'd Taught Maths Craig Barton, 2018 Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.
  benefits of small group instruction in math: Mathematics Learning in Early Childhood National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Committee on Early Childhood Mathematics, 2009-11-13 Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
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