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| effective strategies for promoting mathematical discourse: Activating Math Talk Paola Sztajn, Daniel Heck, Kristen Malzahn, 2020-09-24 Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning. |
| effective strategies for promoting mathematical discourse: Principles to Actions National Council of Teachers of Mathematics, 2014-02 This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning. |
| effective strategies for promoting mathematical discourse: 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. |
| effective strategies for promoting mathematical discourse: Getting Smart Tom Vander Ark, 2011-09-20 A comprehensive look at the promise and potential of online learning In our digital age, students have dramatically new learning needs and must be prepared for the idea economy of the future. In Getting Smart, well-known global education expert Tom Vander Ark examines the facets of educational innovation in the United States and abroad. Vander Ark makes a convincing case for a blend of online and onsite learning, shares inspiring stories of schools and programs that effectively offer personal digital learning opportunities, and discusses what we need to do to remake our schools into smart schools. Examines the innovation-driven world, discusses how to combine online and onsite learning, and reviews smart tools for learning Investigates the lives of learning professionals, outlines the new employment bargain, examines online universities and smart schools Makes the case for smart capital, advocates for policies that create better learning, studies smart cultures |
| effective strategies for promoting mathematical discourse: Classroom Discourse Courtney B. Cazden, 1988 Readers will emerge from the book with a better understanding of the significance of quality teacher-student talk and some of the most important research and researchers. |
| effective strategies for promoting mathematical discourse: Teaching Math to Multilingual Students, Grades K-8 Kathryn B. Chval, Erin Smith, Lina Trigos-Carrillo, Rachel J. Pinnow, 2021-01-07 Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction. |
| effective strategies for promoting mathematical discourse: Principles and Standards for School Mathematics , 2000 This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards. |
| effective strategies for promoting mathematical discourse: Teaching Math at a Distance, Grades K-12 Theresa Wills, 2020-10-12 Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the new normal, educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth. |
| effective strategies for promoting mathematical discourse: More Good Questions Marian Small, Amy Lin, 2022 Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development. |
| effective strategies for promoting mathematical discourse: The Five Practices in Practice [Elementary] Margaret (Peg) Smith, Victoria Bill, Miriam Gamoran Sherin, 2019-08-14 Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. |
| effective strategies for promoting mathematical discourse: 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. ' |
| effective strategies for promoting mathematical discourse: The School Wellness Wheel: A Framework Addressing Trauma, Culture, and Mastery to Raise Student Achievement Mike Ruyle, Libby Child, Nancy Dome, 2021-10 Your school can evolve to address trauma, promote well-being, and elevate learning. The School Wellness Wheel by Mike Ruyle, Libby Child, and Nancy Dome will show you how. Backed by educational, psychological, and medical research, the resource introduces a growth-focused framework for supporting students' cognitive, social, and emotional needs. Each chapter contains vignettes, examples, and advice from educators who are actively engaged in transforming their schools into centers of healing and resilience. Learn how to develop resilience-centered schools that promote healing and higher levels of wellness and learning. Discover and grow the three components of the school wellness wheel: (1) mastery-based learning, (2) trauma-responsive schooling, and (3) culturally responsive teaching. Acquire research-based practices to foster a culture of mastery and ownership and build positive teacher-student relationships. Understand the effects of trauma and adverse childhood experiences on students' cognitive, social, and emotional growth. Study how an educator's self-regulation is related to students' self-regulation. Contents: Introduction Chapter 1: The School Wellness Wheel and Culture Chapter 2: Culture of Adult Ownership, Expertise, and Professionalism Chapter 3: Culture of Mastery Chapter 4: Culture of Learning Chapter 5: Culture of Connection Chapter 6: Culture of Empowerment Chapter 7: Culture of Humanity References and Resources Index |
| effective strategies for promoting mathematical discourse: Teaching Students to Communicate Mathematically Laney Sammons, 2018-04-04 Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In Teaching Students to Communicate Mathematically, Laney Sammons provides practical assistance for K–8 classroom teachers. Drawing on her vast knowledge and experience as a classroom teacher, she covers the basics of effective mathematical communication and offers specific strategies for teaching students how to speak and write about math. Sammons also presents useful suggestions for helping students incorporate correct vocabulary and appropriate representations when presenting their mathematical ideas. This must-have resource will help you help your students improve their understanding of and their skill and confidence in mathematical communication. |
| effective strategies for promoting mathematical discourse: 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. |
| effective strategies for promoting mathematical discourse: Teaching for Thinking Grace Kelemanik, Amy Lucenta, 2022-01-24 Teaching our children to think and reason mathematically is a challenge, not because students can't learn to think mathematically, but because we must change our own often deeply-rooted teaching habits. This is where instructional routines come in. Their predictable design and repeatable nature support both teachers and students to develop new habits. In Teaching for Thinking, Grace Kelemanik and Amy Lucenta pick up where their first book, Routines for Reasoning, left off. They draw on their years of experience in the classroom and as instructional coaches to examine how educators can make use of routines to make three fundamental shifts in teaching practice: Focus on thinking: Shift attention away from students' answers and toward their thinking and reasoning Step out of the middle: Shift the balance from teacher-student interactions toward student-student interactions Support productive struggle: Help students do the hard thinking work that leads to real learning With three complete new routines, support for designing your own routine, and ideas for using routines in your professional learning as well as in your classroom teaching, Teaching for Thinking will help you build new teaching habits that will support all your students to become and see themselves as capable mathematicians. |
| effective strategies for promoting mathematical discourse: 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. |
| effective strategies for promoting mathematical discourse: Strengths-Based Teaching and Learning in Mathematics Beth McCord Kobett, Karen S. Karp, 2020-02-27 This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. |
| effective strategies for promoting mathematical discourse: Number Talks Sherry Parrish, 2010 A multimedia professional learning resource--Cover. |
| effective strategies for promoting mathematical discourse: 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. |
| effective strategies for promoting mathematical discourse: High Quality Teaching and Learning Linda Darling-Hammond, ANN LIEBERMAN, 2013-06-19 This book brings together and compares the teacher education policies and practices of eight high-achieving countries to consider what creates high-quality teachers in today's world. |
| effective strategies for promoting mathematical discourse: Classroom Discussions in Math Suzanne H. Chapin, Mary Catherine O'Connor, Nancy Canavan Anderson, 2013 Classroom Discussions in Math: A Teacher's Guide for Using Talk Moves to Support the Common Core and Moreoffers an award-winning, unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students' mathematical understanding and learning. Based on a four-year research project funded by the U.S. Department of Education, this resource is divided into three sections: Section I: Getting Started: Mathematics Learning with Classroom Discussions Section II: The Mathematics: What Do We Talk About? Section III: Implementing Classroom Discussions This multimedia third edition continues to emphasize the talk moves and tools that teachers can use to facilitate whole-class discussions that deepen students' mathematical understanding. New to This Edition 46 video clips from every grade, kindergarten through sixth, show students and teachers engaged in successful classroom discussions. Some video clips are new to Classroom Discussions in Math; others are all-time favorites selected from Classroom Discussions in Math: A Facilitator's Guide to Support Professional Learning of Discourse and the Common Core support for teaching with the Common Core State Standards for Mathematics Try This Lesson sections offer specific mathematics problems, questions, and more than twenty lesson plans ready for immediate use in the classroom (downloads provided upon purchasing this resource) Math Talk Tips highlight strategies for using specific talk moves, tools, and formats to develop students' mathematical learning The DVD The accompanying DVD organizes forty-six video clips by chapter and by grade level for viewing convenience. The clips range from one to nine minutes in length with a total viewing time of approximately two hours and twenty-six minutes. |
| effective strategies for promoting mathematical discourse: Implementing Effective Mathematics Teaching Practices in Kindergarten-grade 5 DeAnn Huinker, 2017 |
| effective strategies for promoting mathematical discourse: Limitless Mind Jo Boaler, 2019-09-03 “Boaler is one of those rare and remarkable educators who not only know the secret of great teaching but also know how to give that gift to others.” — CAROL DWECK, author of Mindset “Jo Boaler is one of the most creative and innovative educators today. Limitless Mind marries cutting-edge brain science with her experience in the classroom, not only proving that each of us has limitless potential but offering strategies for how we can achieve it.” — LAURENE POWELL JOBS “A courageous freethinker with fresh ideas on learning.” — BOOKLIST In this revolutionary book, a professor of education at Stanford University and acclaimed math educator who has spent decades studying the impact of beliefs and bias on education, reveals the six keys to unlocking learning potential, based on the latest scientific findings. From the moment we enter school as children, we are made to feel as if our brains are fixed entities, capable of learning certain things and not others, influenced exclusively by genetics. This notion follows us into adulthood, where we tend to simply accept these established beliefs about our skillsets (i.e. that we don’t have “a math brain” or that we aren’t “the creative type”). These damaging—and as new science has revealed, false—assumptions have influenced all of us at some time, affecting our confidence and willingness to try new things and limiting our choices, and, ultimately, our futures. Stanford University professor, bestselling author, and acclaimed educator Jo Boaler has spent decades studying the impact of beliefs and bias on education. In Limitless Mind, she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. Our brains are not “fixed,” but entirely capable of change, growth, adaptability, and rewiring. Want to be fluent in mathematics? Learn a foreign language? Play the guitar? Write a book? The truth is not only that anyone at any age can learn anything, but the act of learning itself fundamentally changes who we are, and as Boaler argues so elegantly in the pages of this book, what we go on to achieve. |
| effective strategies for promoting mathematical discourse: Mathematical Discourse: Let the Kids Talk! Barbara Blanke, 2019-12-10 This invaluable resource provides teachers with the tools they need to facilitate mathematical discourse and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. This book will help teachers develop a new set of pedagogical skills and strategies to assess, plan, and organize their classrooms in a manner that is conducive to mathematical discourse. With helpful tips and strategies that are easy to implement, this standards-based book supports an equitable learning environment by encouraging active listening, clear communication, justification of perspective, and acknowledgement of students' experiences. Each chapter includes Culturally and Linguistically Responsive Teaching and Learning strategies to address cultural norms for diverse populations, and support the needs of English language learners. With tips for implementing Math Talks and Number Talks, this resource will get students thinking like mathematicians in no time. |
| effective strategies for promoting mathematical discourse: Routines for Reasoning Grace Kelemanik, Amy Lucenta, Susan Janssen Creighton, 2016 Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher. |
| effective strategies for promoting mathematical discourse: Enhancing Classroom Practice with Research Behind Principles to Actions Denise A. Spangler, Jeffrey J. Wanko, 2017 Summarizes and synthesizes the research behind the guiding principles and essential elements that form the heart of Principles to Actions, NCTM's statement on best practices in the teaching and learning of mathematics. Then, linking research to practice, it gives readers a flavour of what a principle or an element might look like in practice, in a classroom. |
| effective strategies for promoting mathematical discourse: Literacy Strategies for Improving Mathematics Instruction Joan M. Kenney, Euthecia Hancewicz, Loretta Heuer, 2005 An eyeopening look at how teachers can use literacy strategies to help students better understand mathematics. |
| effective strategies for promoting mathematical discourse: Good Questions Marian Small, 2012-01-01 Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability. |
| effective strategies for promoting mathematical discourse: Understanding by Design Grant P. Wiggins, Jay McTighe, 2005 What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike. |
| effective strategies for promoting mathematical discourse: Daily Routines to Jump-Start Math Class, High School Eric Milou, John J. SanGiovanni, 2018-07-31 Too often, middle school and high school teachers say, ‘These students are lacking number sense.’ These books will help secondary teachers with good pedagogy to help build number sense in a creative way. Eric Milou and John SanGiovanni have created short routines that are teacher-friendly, with lots of examples, and easy to adapt to each teacher’s needs. These are the books that secondary teachers have been waiting for to help engage students in building number sense. Pamela J. Dombrowski, Secondary Math Specialist Geary County School District Junction City, KS Kickstart your high school math class! Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction? This guide answers the question What could I do differently? Taking cues from popular number sense and reasoning routines, this book gives you the rundown on how to engage in five different daily 5–10 minute routines, all of which include content-specific examples, extensions, and variations of each for algebra, functions, geometry, and data analysis. Video demonstrations allow you to see the routines in action and the book includes a year’s worth of daily instructional material that you can use to begin each class period. The routines in this book will help students Frequently revisit essential mathematical concepts Foster and shore up conceptual understanding Engage in mental mathematics, leading to efficiency and fluency Engage in mathematical discourse by constructing viable arguments and critiquing the reasoning of others Reason mathematically, and prepare for high stakes assessments Move learning beyond correctness by valuing mistakes and discourse and encouraging a growth mindset From trusted authors and experts Eric Milou and John SanGiovanni, this teacher-friendly resource will give you all the tools and tips you need to reinvent those critical first five or ten minutes of math class for the better! |
| effective strategies for promoting mathematical discourse: Teaching Mathematics to English Language Learners Gladis Kersaint, Denisse R. Thompson, Mariana Petkova, 2014-06-05 Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might address them in the secondary mathematics classroom. Framed by a research perspective, Teaching Mathematics to English Language Learners presents practical instructional strategies for engaging learners that can be incorporated as a regular part of instruction. The authors offer context-specific strategies for everything from facilitating classroom discussions with all students, to reading and interpreting math textbooks, to tackling word problems. A fully annotated list of math web and print resources completes the volume, making this a valuable reference to help mathematics teachers meet the challenges of including all learners in effective instruction. Features and updates to this new edition include: An updated and streamlined Part 1 provides an essential overview of ELL theory in a mathematics specific context. Additional practical examples of mathematics problems and exercises make turning theory into practice easy when teaching ELLs New pedagogical elements in Part 3 include tips on harnessing new technologies, discussion questions and reflection points. New coverage of the Common Core State Standards, as well as updates to the web and print resources in Part 4. |
| effective strategies for promoting mathematical discourse: Implementing Standards-based Mathematics Instruction Mary Kay Stein, 2000 Presents prevalent cases of maths instruction drawn from research of classroom lessons. The Mathematical Tasks Framework, developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes. |
| effective strategies for promoting mathematical discourse: Teaching Mathematics Meaningfully David H. Allsopp, David Allsopp (Ph. D.), Maggie M. Kyger, LouAnn H. Lovin, 2007 Making mathematics concepts understandable is a challenge for any teacher--a challenge that's more complex when a classroom includes students with learning difficulties. With this highly practical resource, educators will have just what they need to teach mathematics with confidence: research-based strategies that really work with students who have learning disabilities, ADHD, or mild cognitive disabilities. This urgently needed guidebook helps teachers Understand why students struggle.Teachers will discover how the common learning characteristics of students with learning difficulties create barriers to understanding mathematics. Review the Big Ideas. Are teachers focusing on the right things? A helpful primer on major NCTM-endorsed mathematical concepts and processes helps them be sure. Directly address students' learning barriers. With the lesson plans, practical strategies, photocopiable information-gathering forms, and online strategies in action, teachers will have concrete ways to help students grasp mathematical concepts, improve their proficiency, and generalize knowledge in multiple contexts. Check their own strengths and needs. Educators will reflect critically on their current practices with a thought-provoking questionnaire. With this timely book--filled with invaluable ideas and strategies adaptable for grades K-12--educators will know just what to teach and how to teach it to students with learning difficulties. |
| effective strategies for promoting mathematical discourse: The K-3 Guide to Academic Conversations Jeff Zwiers, Sara Hamerla, 2017-10-25 “For thousands of years people have been using the skills we describe in this book to engage in conversations with others. What isn’t as prevalent, however, is instruction--especially in primary grades—in which we engage students in productive conversations about academic ideas. This book fills that very big need.” --Jeff Zwiers & Sara Hamerla Talk about content mastery . . . Primary teachers, you won’t want to miss this: if you’re looking for a single resource to foster purposeful content discussions and high-quality interpersonal engagement, then put Jeff Zwiers and Sara Hamerla’s K-3 Guide to Academic Conversations at the top of your reading list. Whether your students love to talk or not, all must be equipped with key conversation skills such as active listening, taking turns, posing, clarifying, supporting with examples, and arguing ideas. This ready resource comes packed with every imaginable tool you could need to make academic conversations part of your everyday teaching: Sample lesson plans and anchor charts Guidelines for creating effective prompts Applications across content areas, with corresponding assessments Rubrics and protocols for listening to student speech Transcripts of conversations and questions for reflection Companion website with video and downloadable resources Tens of thousands of students in the upper grades have reaped the benefits of academic conversations: high-quality face-to-face interactions, increased motivation, stronger collaborative argumentation skills, and better understanding and retention of content. The K-3 Guide to Academic Conversations is that resource for providing your primary students with the same powerful learning opportunities. |
| effective strategies for promoting mathematical discourse: Rethinking Mathematics Eric Gutstein, Bob Peterson, 2005 In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind. |
| effective strategies for promoting mathematical discourse: Mathematics Framework for California Public Schools California. Curriculum Development and Supplemental Materials Commission, 1999 |
| effective strategies for promoting mathematical discourse: Inquiry Strategies for Science and Mathematics Learning Denise Jarrett, 1997 |
| effective strategies for promoting mathematical discourse: 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. |
| effective strategies for promoting mathematical discourse: Thinking Together Rozlynn Dance, Tessa Kaplan, 2018 Want students to understand-really understand-and retain the math they're learning? Focus on building your classroom community first. In Thinking Together, veteran teachers Rozlynn Dance and Tessa Kaplan explore nine beliefs that lead to a powerful community of learners. When students are part of a classroom where they feel valued and included, they are more likely to take risks, ask questions, and grow exponentially as mathematicians. Rozlynn and Tessa tell us, We must create a kind, caring, trusting community of learners who feel comfortable tackling the unknown, taking risks, and making mistakes. This book doesn't pretend teaching is simple-instead, it celebrates the potential in the everyday messiness of learning together. Each chapter includes: opportunities to reflect on your practice through an exploration of beliefs such as Mistakes are great! and It's not just about the answer practical guidance for building your classroom community through student-centered strategies and classroom examples When Things Don't Seem to be Working sections for troubleshooting common challenges and adapting to teaching that doesn't go as planned. An environment fine-tuned for learning creates conditions in which your students can thrive as mathematical thinkers. Thinking Together will help shape your beliefs about what it means to be a learning community and provide support for building those beliefs into your classroom. |
| effective strategies for promoting mathematical discourse: The Impact of Identity in K-8 Mathematics Learning and Teaching Julia Aguirre, Danny Bernard Martin, 2013 Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions |
EFFECTIVE Definition & Meaning - Merriam-Webster
The meaning of EFFECTIVE is producing a decided, decisive, or desired effect. How to use effective in a sentence. Comparing Efficient, Effective, and Proficient Synonym Discussion of …
EFFECTIVE | English meaning - Cambridge Dictionary
EFFECTIVE definition: 1. successful or achieving the results that you want: 2. (used about a treatment or drug) working…. Learn more.
EFFECTIVE Definition & Meaning | Dictionary.com
Effective definition: adequate to accomplish a purpose; producing the intended or expected result.. See examples of EFFECTIVE used in a sentence.
Effective - definition of effective by The Free Dictionary
1. adequate to accomplish a purpose; producing the intended or expected result: effective teaching methods. 2. in operation or in force; functioning; operative: The law becomes …
EFFECTIVE definition and meaning | Collins English Dictionary
Effective means having a particular role or result in practice, though not officially or in theory. They have had effective control of the area since the security forces left. The restructuring resulted …
effective adjective - Definition, pictures, pronunciation and usage ...
producing the result that is wanted or intended; producing a successful result. Aspirin is a simple but highly effective treatment. Some people believe that violence is an effective way of …
effective - Wiktionary, the free dictionary
Jun 2, 2025 · effective (comparative more effective, superlative most effective) Having the power to produce a required effect or effects. The pill is an effective method of birth control.
856 Synonyms & Antonyms for EFFECTIVE - Thesaurus.com
Find 856 different ways to say EFFECTIVE, along with antonyms, related words, and example sentences at Thesaurus.com.
What does Effective mean? - Definitions.net
Effectiveness is the capability of producing a desired result or the ability to produce desired output. When something is deemed effective, it means it has an intended or expected …
Effectual vs. Effective: What's the Difference? - Grammarly
Effectual and effective describe concepts of success and capability, but from different angles. Effectual emphasizes the potential to achieve a goal, while effective confirms the successful …
EFFECTIVE Definition & Meaning - Merriam-Webster
The meaning of EFFECTIVE is producing a decided, decisive, or desired effect. How to use effective in a sentence. Comparing Efficient, Effective, and Proficient Synonym Discussion of Effective.
EFFECTIVE | English meaning - Cambridge Dictionary
EFFECTIVE definition: 1. successful or achieving the results that you want: 2. (used about a treatment or drug) working…. Learn more.
EFFECTIVE Definition & Meaning | Dictionary.com
Effective definition: adequate to accomplish a purpose; producing the intended or expected result.. See examples of EFFECTIVE used in a sentence.
Effective - definition of effective by The Free Dictionary
1. adequate to accomplish a purpose; producing the intended or expected result: effective teaching methods. 2. in operation or in force; functioning; operative: The law becomes effective at …
EFFECTIVE definition and meaning | Collins English Dictionary
Effective means having a particular role or result in practice, though not officially or in theory. They have had effective control of the area since the security forces left. The restructuring resulted in …
effective adjective - Definition, pictures, pronunciation and usage ...
producing the result that is wanted or intended; producing a successful result. Aspirin is a simple but highly effective treatment. Some people believe that violence is an effective way of …
effective - Wiktionary, the free dictionary
Jun 2, 2025 · effective (comparative more effective, superlative most effective) Having the power to produce a required effect or effects. The pill is an effective method of birth control.
856 Synonyms & Antonyms for EFFECTIVE - Thesaurus.com
Find 856 different ways to say EFFECTIVE, along with antonyms, related words, and example sentences at Thesaurus.com.
What does Effective mean? - Definitions.net
Effectiveness is the capability of producing a desired result or the ability to produce desired output. When something is deemed effective, it means it has an intended or expected outcome, or …
Effectual vs. Effective: What's the Difference? - Grammarly
Effectual and effective describe concepts of success and capability, but from different angles. Effectual emphasizes the potential to achieve a goal, while effective confirms the successful …
