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Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 344 pages
File Size : 42,6 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.

Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl

Author : Peter Liljedahl
Publisher : Corwin
Page : 345 pages
File Size : 51,8 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374864

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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

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 121 pages
File Size : 46,5 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.

Creating Thinking Classrooms

Garfield Gini-Newman,Roland Case

Author : Garfield Gini-Newman,Roland Case
Publisher : Corwin Press
Page : 186 pages
File Size : 50,8 Mb
Release : 2018-03-22
Category : Education
ISBN : 9781506398419

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

Reinvigorating today’s schools with Critical, Creative and Collaborative thinking Critical, creative and collaborative thinking should be at the centre of all 21st century teaching and learning. Creating Thinking Classrooms is loaded with examples, stories and strategies for reinvigorating schools with this quality thinking. Written for leaders who support teachers, this guide treats educational change as a process of renovation, rather than process of revolution, and emphasizes building upon, refining and sustaining the many good things happening in today’s schools. Practical and user-friendly, it emphasizes five key principles for learning and teaching: Engaging students Sustaining inquiry Nurturing self-regulated learners Creating assessment-rich learning Enhancing learning through digital technology As a balanced and reasoned response to the challenges and opportunities facing schools, this book separates the rhetoric of school reform from reality by analyzing what’s actually happening and offering a plan educators can use. Recapture the fundamentals of classroom learning with a practical and powerful roadmap charting the way forward. As a principal and community superintendent, I observed firsthand how transformational the work of Garfield Gini-Newman and Roland Case is in the school community, and on a systemic level, in the school community, and on a systemic level. Creating Thinking Classrooms takes theory and research and places it directly into the hands of practitioners by offering thoughtful and immediately-useful strategies. Not only does this work transform engagement and achievement, but it also transforms thinking for both teachers and their students. Teaching and learning go from passive acquisition of information to active, purposeful, and deliberate interaction with the curriculum. It is a must-read! Ursula A. Hermann, Ph.D, retired principal and community superintendent Montgomery County Public Schools What impresses me most about Creating Thinking Classrooms is the notion of framing the retooling of schools as renovation or reinvigoration rather than as revolution. Too many seem to ignore that there are many good things worth preserving in our schools and others that need to be reframed or recast to give them greater currency. This book builds on what has worked and makes it better. The message – being purposeful and patiently focused on long-term success – is a powerful one that needs to be heard above the din. David Chojnacki, Executive Director Near East South Asia Council of Overseas Schools

Teaching Students to Become Self-Determined Learners

Michael Wehmeyer,Yong Zhao

Author : Michael Wehmeyer,Yong Zhao
Publisher : ASCD
Page : 160 pages
File Size : 45,8 Mb
Release : 2020-04-28
Category : Education
ISBN : 9781416628965

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Teaching Students to Become Self-Determined Learners by Michael Wehmeyer,Yong Zhao Pdf

Children are born learning machines who want to learn and can organize and manage their own learning. Unfortunately, today children have little choice over what they do in school and how and when they do it. Children prepared in this "other-determined" manner will be poorly equipped to navigate an adult world requiring that they act autonomously and self-direct learning to acquire skills in rapidly changing environments. In Teaching Students to Become Self-Determined Learners, Michael Wehmeyer and Yong Zhao explore the how and why of self-determined learning—which emphasizes autonomy and choice, turning over ownership for learning to students by supporting them in engaging in activities that are of personal value to them, thus enabling them to act volitionally. You'll learn * How to promote self-determined learning in your classroom or school * The importance of autonomy supports, competence supports, and relatedness supports * Conditions that enable self-determined learning * Teaching strategies for self-determined learning * Assessment strategies in self-determined learning * The role of technology in self-determined living The practical strategies, case studies, advice, and resources here will help you help your students to motivate themselves and become self-determined learners

The Dragon Curve

Alicia Burdess

Author : Alicia Burdess
Publisher : Unknown
Page : 56 pages
File Size : 49,6 Mb
Release : 2021-07-16
Category : Electronic
ISBN : 1039110231

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The Dragon Curve by Alicia Burdess Pdf

Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!

Productive Math Struggle

John J. SanGiovanni,Susie Katt,Kevin J. Dykema

Author : John J. SanGiovanni,Susie Katt,Kevin J. Dykema
Publisher : Corwin
Page : 217 pages
File Size : 45,9 Mb
Release : 2020-03-09
Category : Education
ISBN : 9781544369433

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Productive Math Struggle by John J. SanGiovanni,Susie Katt,Kevin J. Dykema Pdf

All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work

Posing and Solving Mathematical Problems

Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick

Author : Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Publisher : Springer
Page : 402 pages
File Size : 40,6 Mb
Release : 2016-04-29
Category : Education
ISBN : 9783319280233

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Posing and Solving Mathematical Problems by Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick Pdf

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Mathematical Problem Solving

Peter Liljedahl,Manuel Santos-Trigo

Author : Peter Liljedahl,Manuel Santos-Trigo
Publisher : Springer
Page : 362 pages
File Size : 51,9 Mb
Release : 2019-02-12
Category : Education
ISBN : 9783030104726

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Mathematical Problem Solving by Peter Liljedahl,Manuel Santos-Trigo Pdf

This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Open Middle Math

Robert Kaplinsky

Author : Robert Kaplinsky
Publisher : Unknown
Page : 195 pages
File Size : 55,7 Mb
Release : 2019
Category : Language arts
ISBN : 9781625311740

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Open Middle Math by Robert Kaplinsky Pdf

Imagine that you assign a math problem and your students, instead of getting discouraged after not solving it on the first attempt, start working harder--as if on a quest to figure out the answer. They talk to each other and enthusiastically share their discoveries. What could possibly make this fantastic scenario come true? The answer is: the Open Middle math problems and strategies in this book. Open Middle Math by Robert Kaplinsky gives middle and high school teachers the problems and planning guidance that will encourage students to see mathematics in an entirely different light. These challenging and rewarding Open Middle math problems will help you see your students build genuine conceptual understanding, perseverance, and creativity. Inside, you'll learn how to: Implement Open Middle math problems that are simultaneously accessible for both students who are struggling and those looking for more challenge. Select and create Open Middle math problems that will help you detect students' misconceptions and strengthen their conceptual understanding. Prepare for and facilitate powerful classroom conversations using Open Middle math problems. Access resources that will help you continue learning beyond this book. With these practical and intuitive strategies, extensive resources, and Robert's own stories about his journey learning to use Open Middle math problems successfully, you will be able to support, challenge, and motivate all your students.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Matthew Oldridge

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
Page : 134 pages
File Size : 53,5 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.

Classroom-Ready Rich Math Tasks, Grades 4-5

Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe

Author : Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe
Publisher : Corwin Press
Page : 348 pages
File Size : 55,9 Mb
Release : 2021-04-14
Category : Education
ISBN : 9781071841068

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Classroom-Ready Rich Math Tasks, Grades 4-5 by Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe Pdf

Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.

Concept-Based Mathematics

Jennifer T.H. Wathall

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
Page : 296 pages
File Size : 55,7 Mb
Release : 2016-01-14
Category : Education
ISBN : 9781506332659

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Concept-Based Mathematics by Jennifer T.H. Wathall Pdf

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

5 Principles of the Modern Mathematics Classroom

Gerald Aungst

Author : Gerald Aungst
Publisher : Corwin Press
Page : 141 pages
File Size : 49,5 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

Teaching Numeracy

Margie Pearse,K. M. Walton

Author : Margie Pearse,K. M. Walton
Publisher : Corwin Press
Page : 241 pages
File Size : 55,6 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.

Building Thinking Classrooms In Mathematics

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

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

Modifying Your Thinking Classroom for Different Settings by Peter Liljedahl Pdf

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

Teaching Students to Become Self-Determined Learners by Michael Wehmeyer,Yong Zhao Pdf

The Dragon Curve by Alicia Burdess Pdf

Productive Math Struggle by John J. SanGiovanni,Susie Katt,Kevin J. Dykema Pdf

Posing and Solving Mathematical Problems by Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick Pdf

Mathematical Problem Solving by Peter Liljedahl,Manuel Santos-Trigo Pdf

Open Middle Math by Robert Kaplinsky Pdf

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

Classroom-Ready Rich Math Tasks, Grades 4-5 by Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe Pdf

Concept-Based Mathematics by Jennifer T.H. Wathall Pdf

5 Principles of the Modern Mathematics Classroom by Gerald Aungst Pdf

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

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