Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1544374844
  • Category : Education
  • Languages : en
  • Pages : 454

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.


Summary of Peter Liljedahl's Building Thinking Classrooms in Mathematics Grades K12

Summary of Peter Liljedahl's Building Thinking Classrooms in Mathematics Grades K12

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  • Author: Milkyway Media
  • Publisher: Milkyway Media
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 22

Get the Summary of Peter Liljedahl's Building Thinking Classrooms in Mathematics Grades K12 in 20 minutes. Please note: This is a summary & not the original book. Peter Liljedahl's "Building Thinking Classrooms in Mathematics Grades K12" presents a comprehensive approach to fostering critical thinking in mathematics education. The book introduces a variety of engaging tasks, such as Highly Engaging Thinking Tasks, Card Tricks, and Numeracy Tasks, which are designed to provoke thought and encourage the application of mathematical concepts. Liljedahl emphasizes the importance of transforming standard curriculum tasks into opportunities for critical thinking by introducing them before teaching the methods to solve them...


Modifying Your Thinking Classroom for Different Settings

Modifying Your Thinking Classroom for Different Settings

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1071862928
  • Category : Education
  • Languages : en
  • Pages : 121

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.


Teaching Mathematics as Storytelling

Teaching Mathematics as Storytelling

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  • Author: Rina Zazkis
  • Publisher: BRILL
  • ISBN: 9087907354
  • Category : Education
  • Languages : en
  • Pages : 148

This book presents storytelling in mathematics as a medium for creating a classroom in which mathematics is appreciated, understood, and enjoyed. The authors demonstrate how students’ mathematical activity can be engaged via storytelling. Readers are introduced to many mathematical stories of different kinds, such as stories that provide a frame or a background to mathematical problems, stories that deeply intertwine with the content, and stories that explain concepts or ideas. Moreover, the authors present a framework for creating new stories, ideas for using and enriching existing stories, as well as several techniques for storytelling that make telling more interactive and more appealing to the learner. This book is of interest for those who teach mathematics, or teach teachers to teach mathematics. It may be of interest to those who like stories or like mathematics, or those who dislike either mathematics or stories, but are ready to reconsider their position.


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

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

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  • Author: Chase Orton
  • Publisher: Corwin Press
  • ISBN: 1071841556
  • Category : Education
  • Languages : en
  • Pages : 210

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.


Teaching Mathematics through Problem-Solving in K–12 Classrooms

Teaching Mathematics through Problem-Solving in K–12 Classrooms

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  • Author: Matthew Oldridge
  • Publisher: Rowman & Littlefield
  • ISBN: 1475843348
  • Category : Education
  • Languages : en
  • Pages : 134

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.


United We Solve

United We Solve

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  • Author: Tim Erickson
  • Publisher: eeps media
  • ISBN: 0964849607
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 192


Good Questions for Math Teaching

Good Questions for Math Teaching

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  • Author: Peter Sullivan
  • Publisher: Math Solutions
  • ISBN: 0941355519
  • Category : Education
  • Languages : en
  • Pages : 113

Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data.


Problem Solving in Mathematics Education

Problem Solving in Mathematics Education

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  • Author: Peter Liljedahl
  • Publisher: Springer
  • ISBN: 3319407309
  • Category : Education
  • Languages : en
  • Pages : 46

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.


Necessary Conditions

Necessary Conditions

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  • Author: Geoff Krall
  • Publisher: Taylor & Francis
  • ISBN: 1003842798
  • Category : Education
  • Languages : en
  • Pages : 492

During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students--when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussions Quality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math people Effective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectations My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem. -- Geoff Krall from his book, Necessary Conditions