Building Thinking Classrooms in Mathematics, Grades K-12

2020-09-28
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.

Classroom-Ready Rich Math Tasks, Grades 4-5

2021-04-14
Classroom-Ready Rich Math Tasks, Grades 4-5

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  • Author: Beth McCord Kobett
  • Publisher: Corwin Press
  • ISBN: 1071841068
  • Category : Education
  • Languages : en
  • Pages : 348

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.

Mathematics Tasks for the Thinking Classroom, Grades K-5

2024-05-21
Mathematics Tasks for the Thinking Classroom, Grades K-5

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1071951890
  • Category : Education
  • Languages : en
  • Pages : 0

Practical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.

Classroom-Ready Rich Math Tasks, Grades K-1

2021-04-20
Classroom-Ready Rich Math Tasks, Grades K-1

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  • Author: Beth McCord Kobett
  • Publisher: Corwin Press
  • ISBN: 1071841238
  • Category : Education
  • Languages : en
  • Pages : 341

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 K-1 details 56 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.

Mine the Gap for Mathematical Understanding, Grades 3-5

2016-09-16
Mine the Gap for Mathematical Understanding, Grades 3-5

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  • Author: John SanGiovanni
  • Publisher: Corwin Press
  • ISBN: 1506375502
  • Category : Education
  • Languages : en
  • Pages : 384

Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct “gap” commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Modifying Your Thinking Classroom for Different Settings

2021-08-17
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.

Mine the Gap for Mathematical Understanding, Grades K-2

2016-11-15
Mine the Gap for Mathematical Understanding, Grades K-2

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  • Author: John SanGiovanni
  • Publisher: Corwin Press
  • ISBN: 1506382290
  • Category : Education
  • Languages : en
  • Pages : 384

Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct “gap” commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

The Five Practices in Practice [Elementary]

2019-08-14
The Five Practices in Practice [Elementary]

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  • Author: Margaret (Peg) Smith
  • Publisher: Corwin Press
  • ISBN: 1544321147
  • Category : Education
  • Languages : en
  • Pages : 241

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.

Engaging in Culturally Relevant Math Tasks

2022-03-08
Engaging in Culturally Relevant Math Tasks

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  • Author: Lou Edward Matthews
  • Publisher: Corwin Press
  • ISBN: 1071841688
  • Category : Education
  • Languages : en
  • Pages : 173

Empower your students as they reimagine the world around them through mathematics Culturally relevant mathematics teaching engages and empowers students, helping them learn and understand math more deeply and make connections to themselves, their communities, and the world around them. The mathematics task provides opportunities for a direct pathway to this goal; however, how can you find, adapt, and implement math tasks that build powerful learners? Engaging in Culturally Relevant Math Tasks helps teachers to design and refine inspiring mathematics learning experiences driven by the kind of high-quality and culturally relevant mathematics tasks that connect students to their world. With the goal of inspiring all students to see themselves as doers of mathematics, this book provides intensive, in-the-moment guidance and practical classroom tools that empower educators to shape culturally relevant experiences while systematically building tasks that are standards-based. It includes A pathway for moving through the process of asking, imagining, planning, creating, and improving culturally relevant math tasks. Tools and strategies for designing culturally relevant math tasks that preservice, novice, and veteran teachers can use to grow their practice day by day. Research-based teaching practices seen through the lens of culturally relevant instruction that help students develop deep conceptual understanding, procedural knowledge, fluency, and application in all K-5 mathematical content. Examples, milestones, opportunities for reflection, and discussion questions guide educators to strengthen their classroom practices, and to reimagine math instruction in response. This book is for any educator who wants to teach mathematics in a more authentic, inclusive, and meaningful way, and it is especially beneficial for teachers whose students are culturally different from them.

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

2013-05-31
Uncovering Student Thinking About Mathematics in the Common Core, Grades K–2

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  • Author: Cheryl Rose Tobey
  • Publisher: Corwin Press
  • ISBN: 1452284814
  • Category : Education
  • Languages : en
  • Pages : 241

Get to the core of your students’ understanding of math! Back by popular demand, Cheryl Tobey and new coauthor Emily Fagan bring you 25 entirely new formative assessment probes—this time specifically for Grades K–2 and directly aligned to the Common Core. Thousands of teachers have already discovered that using probes may be the single-best way to identify students’ understandings and misunderstandings of key math concepts and then follow-up with the most appropriate instructional choices. Organized by strand, the probes will enable you to: Objectively evaluate each child’s prior basic numeracy and math knowledge Systematically address common mistakes and obstacles before they become long-term problems Help students integrate new mathematical ideas and immediately pinpoint areas of struggle Plan targeted instruction that builds on students’ current understandings while addressing their identified difficulties With the help of these probes, K–2 teachers will eliminate once and for all the perception "some kids just aren’t good at math" and put all students on the path of lifelong proficiency. "Tobey and Fagan provide both a roadmap and GPS for navigating the Common Core Standards for Mathematics. In a time when teachers are asked to do more and more, this is a fabulous resource to guide instruction that will meet the needs of individual students. I was so impressed with the content, I found myself taking copious notes as I read." —Roxie R. Ahlbrecht, Math Intervention Specialist Lowell MST, Sioux Falls, SD "These probes get to the heart of the Common Core Standards. The Teacher Notes provide valuable guidance on interpreting student results and using the information to inform instruction." —Donna Boucher, K–5 Math Instructional Coach Morton Ranch Elementary School, Katy ISD, Katy, TX