Whole Class Mathematics Discussions

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Whole Class Mathematics Discussions

Author : Teruni Lamberg
Publisher : Allyn & Bacon
Page : 0 pages
File Size : 40,6 Mb
Release : 2013
Category : Forums (Discussion and debate)
ISBN : 0132117339

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Whole Class Mathematics Discussions by Teruni Lamberg Pdf

Filled with research-based ideas, practical strategies and tools, this book and the accompanying website supports teachers in facilitating effective whole class discussions to enhance K-8 students' mathematical understanding.

Math with Bad Drawings

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 53,5 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022

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Math with Bad Drawings by Ben Orlin Pdf

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Five Practices for Orchestrating Productive Mathematics Discussions

Author : Margaret Schwan Smith,Mary Kay Stein
Publisher : Unknown
Page : 104 pages
File Size : 48,9 Mb
Release : 2011
Category : Communication in mathematics
ISBN : 1483351114

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Five Practices for Orchestrating Productive Mathematics Discussions by Margaret Schwan Smith,Mary Kay Stein Pdf

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Classroom Discussions

Author : Suzanne H. Chapin,Mary Catherine O'Connor,Nancy Canavan Anderson
Publisher : Math Solutions
Page : 314 pages
File Size : 47,5 Mb
Release : 2009
Category : Discussion
ISBN : 9781935099017

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Classroom Discussions by Suzanne H. Chapin,Mary Catherine O'Connor,Nancy Canavan Anderson Pdf

"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.

The Five Practices in Practice [Elementary]

Author : Margaret (Peg) Smith,Victoria Bill,Miriam Gamoran Sherin
Publisher : Corwin Press
Page : 241 pages
File Size : 41,6 Mb
Release : 2019-08-14
Category : Education
ISBN : 9781544321141

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The Five Practices in Practice [Elementary] by Margaret (Peg) Smith,Victoria Bill,Miriam Gamoran Sherin Pdf

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.

The Five Practices in Practice [High School]

Author : Margaret (Peg) Smith,Michael D. Steele,Miriam Gamoran Sherin
Publisher : Corwin Press
Page : 189 pages
File Size : 48,9 Mb
Release : 2020-02-26
Category : Education
ISBN : 9781544321264

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The Five Practices in Practice [High School] by Margaret (Peg) Smith,Michael D. Steele,Miriam Gamoran Sherin Pdf

"This book makes the five practices accessible for high school mathematics teachers. Teachers will see themselves and their classrooms throughout the book. High school mathematics departments and teams can use this book as a framework for engaging professional collaboration. I am particularly excited that this book situates the five practices as ambitious and equitable practices." Robert Q. Berry, III NCTM President 2018-2020 Samuel Braley Gray Professor of Mathematics Education, University of Virginia Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms and learn to apply them with confidence. This follow-up to the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in high school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through · Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins · Video excerpts from real high school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction · "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it · "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.

Number Talks

Author : Sherry Parrish
Publisher : Math Solutions
Page : 434 pages
File Size : 40,6 Mb
Release : 2010
Category : Education
ISBN : 9781935099116

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Number Talks by Sherry Parrish Pdf

"A multimedia professional learning resource"--Cover.

Math on the Move

Author : Malke Rosenfeld
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 43,9 Mb
Release : 2016-10-18
Category : Education
ISBN : 0325074704

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Math on the Move by Malke Rosenfeld Pdf

"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Classroom Discussions in Math

Author : Suzanne H. Chapin,Mary Catherine O'Connor,Nancy Canavan Anderson
Publisher : Math Solutions Publications
Page : 0 pages
File Size : 47,8 Mb
Release : 2013
Category : Discussion
ISBN : 1935099566

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Classroom Discussions in Math by Suzanne H. Chapin,Mary Catherine O'Connor,Nancy Canavan Anderson Pdf

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.

The Culture of the Mathematics Classroom

Author : Falk Seeger,Jörg Voigt,Ute Waschescio
Publisher : Cambridge University Press
Page : 276 pages
File Size : 48,7 Mb
Release : 1998-08-13
Category : Psychology
ISBN : 0521571073

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The Culture of the Mathematics Classroom by Falk Seeger,Jörg Voigt,Ute Waschescio Pdf

The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.

Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 42,7 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

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.

5 Principles of the Modern Mathematics Classroom

Author : Gerald Aungst
Publisher : Corwin Press
Page : 141 pages
File Size : 51,7 Mb
Release : 2015-10-09
Category : Education
ISBN : 9781506322995

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5 Principles of the Modern Mathematics Classroom by Gerald Aungst Pdf

Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

Visible Learning for Mathematics, Grades K-12

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 43,5 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

5 Practices for Orchestrating Productive Mathematics Discussions

Author : Margaret Schwan Smith,Mary Kay Stein
Publisher : Unknown
Page : 104 pages
File Size : 40,9 Mb
Release : 2011
Category : Communication in mathematics
ISBN : 0873536770

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5 Practices for Orchestrating Productive Mathematics Discussions by Margaret Schwan Smith,Mary Kay Stein Pdf

Learn the 5 practices for facilitating effective inquiry-oriented classrooms: Anticipating what students will do - what strategies they will use - in solving a problem Monitoring their work as they approach the problem in class Selecting students whose strategies are worth discussing in class Sequencing those students' presentations to maximise their potential to increase students' learning Connecting the strategies and ideas in a way that helps students understand the mathematics learned This book presents and discusses a framework for orchestrating mathematically productive discussions that are rooted in student thinking. The 5 Practices framework identifies a set of instructional practises that will help teachers achieve high-demand learning objectives by using student work as the launching point for discussions in which important mathematical ideas are brought to the surface, contradictions are exposed and understandings are developed or consolidated. By giving teachers a road map of things that they can do in advance and during whole-class discussions, these practises have the potential for helping teachers to more effectively orchestrate discussions that are responsive to both students and the discipline. Includes a Professional Development Guide.

Guided Math: A Framework for Mathematics Instruction Second Edition

Author : Laney Sammons
Publisher : Teacher Created Materials
Page : 378 pages
File Size : 50,5 Mb
Release : 2019-03-22
Category : Mathematics
ISBN : 9781642903768

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Guided Math: A Framework for Mathematics Instruction Second Edition by Laney Sammons Pdf

This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. This updated math resource takes an innovative approach to mathematics instruction and uses the same teaching philosophies for guided reading. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and Math Workshop to engage K-12 students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This 2nd edition guided math resource written by Laney Sammons provides practical guidance and sample lessons for grade level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!