Building Thinking Classrooms In Mathematics Grades K 12

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Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl
Building Thinking Classrooms in Mathematics Grades K 12 Book PDF

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 49,8 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.

Modifying Your Thinking Classroom for Different Settings

Peter Liljedahl
Modifying Your Thinking Classroom for Different Settings Book PDF

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 121 pages
File Size : 53,5 Mb
Release : 2021-08-17
Category : Education
ISBN : 9781071862926

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Modifying Your Thinking Classroom for Different Settings by Peter Liljedahl Pdf

Keep thinking...keep learning in different settings In Peter Liljedahl’s bestselling Building Thinking Classrooms in Mathematics: 14 Teaching Practices for Enhancing Learning, readers discovered that thinking is a precursor to learning. Translating 15 years of research, the anchor book introduced 14 practices that have the most potential to increase student thinking in the classroom and can work for any teacher in any setting. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? This follow-up supplement will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. This guide: Provides the what, why, and how to adapt each practice in face-to-face settings that require social distancing, fixed seating, or small class sizes; synchronous and asynchronous virtual settings; synchronous and asynchronous hybrid settings; independent learning; and homeschooling. Includes guidance on using thinking classroom practices to support students in unfinished learning in small groups and one-on-one teaching or tutoring. Offers updated toolkits and a recommended order for the implementation of the practices for each of the settings. This supplement allows teachers to dip in as needed and continually modify the practices as their own classroom situations change and evolve, always keeping the thinking at the forefront of their mathematics teaching and learning.

Visible Learning for Mathematics, Grades K-12

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

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 305 pages
File Size : 49,7 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362977

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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

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.

Creating Thinking Classrooms

Garfield Gini-Newman,Roland Case
Creating Thinking Classrooms Book PDF

Author : Garfield Gini-Newman,Roland Case
Publisher : Corwin Press
Page : 305 pages
File Size : 51,8 Mb
Release : 2018-03-22
Category : Education
ISBN : 9781506398440

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Creating Thinking Classrooms by Garfield Gini-Newman,Roland Case Pdf

Creating Thinking Classrooms is loaded with examples, stories and strategies for reinvigorating schools through quality thinking and reasoning.

The Imperfect and Unfinished Math Teacher [Grades K-12]

Chase Orton
The Imperfect and Unfinished Math Teacher Grades K 12 Book PDF

Author : Chase Orton
Publisher : Corwin Press
Page : 210 pages
File Size : 41,7 Mb
Release : 2022-02-24
Category : Education
ISBN : 9781071841556

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The Imperfect and Unfinished Math Teacher [Grades K-12] by Chase Orton Pdf

The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Jennifer M. Bay-Williams,John J. SanGiovanni
Figuring Out Fluency in Mathematics Teaching and Learning Grades K 8 Book PDF

Author : Jennifer M. Bay-Williams,John J. SanGiovanni
Publisher : Corwin
Page : 265 pages
File Size : 51,7 Mb
Release : 2021-03-02
Category : Education
ISBN : 9781071818435

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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 by Jennifer M. Bay-Williams,John J. SanGiovanni Pdf

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Uncovering Student Thinking About Mathematics in the Common Core, Grades K–2

Cheryl Rose Tobey,Emily R. Fagan
Uncovering Student Thinking About Mathematics in the Common Core Grades K 2 Book PDF

Author : Cheryl Rose Tobey,Emily R. Fagan
Publisher : Corwin Press
Page : 241 pages
File Size : 43,7 Mb
Release : 2013-06-12
Category : Education
ISBN : 9781452230030

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Uncovering Student Thinking About Mathematics in the Common Core, Grades K–2 by Cheryl Rose Tobey,Emily R. Fagan Pdf

Get to the core of your students’ understanding of math! Quickly and reliably identify your primary students’ math knowledge with these convenient and easy-to-implement diagnostic tools! Tobey and Fagan provide 25 new assessments specifically for Grades K–2 and directly aligned with the Common Core. Organized by strand, the probes will enable you to: Quickly and objectively evaluate each child’s prior knowledge of basic math and numeracy Systematically address common mistakes and obstacles before they become long-term problems Make sound instructional choices to improve all students’ math skills

Teaching Math at a Distance, Grades K-12

Theresa Wills
Teaching Math at a Distance Grades K 12 Book PDF

Author : Theresa Wills
Publisher : Corwin Press
Page : 194 pages
File Size : 47,8 Mb
Release : 2020-10-12
Category : Education
ISBN : 9781071837122

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Teaching Math at a Distance, Grades K-12 by Theresa Wills Pdf

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.

Standards in the Classroom

Richard H. Audet,Linda K. Jordan
Standards in the Classroom Book PDF

Author : Richard H. Audet,Linda K. Jordan
Publisher : Corwin Press
Page : 204 pages
File Size : 43,7 Mb
Release : 2002-11-20
Category : Business & Economics
ISBN : 0761938575

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Standards in the Classroom by Richard H. Audet,Linda K. Jordan Pdf

This book provides support and guidance to teachers in their professional development. A constructivist approach was used while exploring the implementation of standards into the mathematics and science curriculum. Contents include: (1) "Engagement: Thinking about Standards and Instruction"; (2) "Exploration: Discovering National Standards Resources"; (3) "Explanation I: Researching National Standards to Clarify Learning Goals"; (4) "Explanation II: Assessment in a Standards-Based System"; (5) "Extension I: Developing Standards-Based Curriculum Materials"; (6) "Extension II: Analyzing and Evaluating Curriculum Materials"; (7) "Extension III: Curriculum Mapping"; (8) "Evaluation: Discoveries about Standards-Based Teaching and Learning"; and (9) "Endurance: Sustaining Change". (YDS).

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Matthew Oldridge
Teaching Mathematics through Problem Solving in K 12 Classrooms Book PDF

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
Page : 134 pages
File Size : 50,6 Mb
Release : 2018-10-31
Category : Education
ISBN : 9781475843347

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Teaching Mathematics through Problem-Solving in K–12 Classrooms by Matthew Oldridge Pdf

This book shows how problems can be the vehicle for learning mathematics itself, and presents a comprehensive pedagogy based on classroom discourse, assessment, critical and creative thinking.

Strengths-Based Teaching and Learning in Mathematics

Beth McCord Kobett,Karen S. Karp
Strengths Based Teaching and Learning in Mathematics Book PDF

Author : Beth McCord Kobett,Karen S. Karp
Publisher : Corwin
Page : 273 pages
File Size : 45,9 Mb
Release : 2020-02-27
Category : Education
ISBN : 9781544374901

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Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf

"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.

Blended Learning in Grades 4–12

Catlin R. Tucker
Blended Learning in Grades 4 12 Book PDF

Author : Catlin R. Tucker
Publisher : Corwin Press
Page : 273 pages
File Size : 50,6 Mb
Release : 2012-06-13
Category : Education
ISBN : 9781452240862

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Blended Learning in Grades 4–12 by Catlin R. Tucker Pdf

This book comes at the right time with answers for teachers, principals, and schools who want to be on the cutting edge of the effective use of technology, the internet, and teacher pedagogy.

Mastering Math Manipulatives, Grades K-3

Sara Delano Moore,Kimberly Rimbey
Mastering Math Manipulatives Grades K 3 Book PDF

Author : Sara Delano Moore,Kimberly Rimbey
Publisher : Corwin Press
Page : 321 pages
File Size : 55,8 Mb
Release : 2021-10-04
Category : Education
ISBN : 9781071816035

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Mastering Math Manipulatives, Grades K-3 by Sara Delano Moore,Kimberly Rimbey Pdf

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 two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, 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 75 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.

Teaching Numeracy

Margie Pearse,K. M. Walton
Teaching Numeracy Book PDF

Author : Margie Pearse,K. M. Walton
Publisher : Corwin Press
Page : 241 pages
File Size : 40,7 Mb
Release : 2011-03-23
Category : Education
ISBN : 9781452224404

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Teaching Numeracy by Margie Pearse,K. M. Walton Pdf

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Teaching Math to Multilingual Students, Grades K-8

Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Teaching Math to Multilingual Students Grades K 8 Book PDF

Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin
Page : 249 pages
File Size : 54,7 Mb
Release : 2020-12-21
Category : Education
ISBN : 9781071810811

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Teaching Math to Multilingual Students, Grades K-8 by Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow Pdf

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.