Books in the Corwin Mathematics Series series

This bundle includes Liljedahl's bestselling anchor book Building Thinking Classrooms in Mathematics, Grades K-12 and his new supplement title Modifying Your Thinking Classroom for Different Settings. Much of what happens in math classrooms today is guided by institutional norms laid down at the inception of an industrial-age model of public education. These norms have enabled a culture of teaching and learning that is often devoid of student thinking. Building Thinking Classrooms presents the results of over 15 years of research into which teaching practices are effective for getting students to think and which ones do not. This book takes you through a step-by-step approach that you can use to transform your classroom from a space where students mimic to a space where students think. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? The follow-up supplement, Modifying Your Thinking Classroom for Different Settings, 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.

Keep thinking¿keep learning in different settingsIn 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.

Mathematical discussion ("maths talk") has been identified as the primary vehicle for developing students' conceptual understanding of mathematics. Yet despite the importance of discussions to student learning, teachers face many challenges when facilitating mathematics discussions. This book provides a framework for "maths talk" with guidance, examples, tools and templates.

Beyond problem-solving and performance tasks - level up to project-based learning!Do you want your students to be more engaged in their mathematics lessons while also amplifying cultural relevancy and equity? If so, proceed to the next level of instruction with project-based learning (PBL)! This book provides the whole PBL game plan designed by an experienced, award-winning teacher and researcher. Whether you want to start with small steps or you are ready for full implementation in your classroom, project-based learning experiences can lead to forever memories and deeper learning for your students. Answering the why, what, and how of embarking on the journey toward PBL, readers will find Need-to-Know questions to open each chapter Student and educator vignettes to identify stumbling blocks and successes PBL Plus Tips that identify those small steps teachers can make to gradually shift toward PBL Your Turn prompts to actively connect ideas to your practiceThis approachable guide includes everything you need to move from tasks to memorable project-based experiences that leverage student voice and choice and build a welcoming classroom culture!

Finally! A book that helps solve the problem of teaching problem solving!Learning to be a problem solver is hard. Teaching students how to be problem solvers themselves can be even harder. Some students may learn to mimic procedures to come up with correct answers, but are they really learning to solve problems? To become independent problem solvers, students need to practice exploring, tinkering, and, most important, thinking!!The bite-size routines in this guide are perfect for teachers looking for the interesting, engaging, and doable practice students need to become problem-solving masters. These flexible, modifiable bursts of quality practice are designed to get students to look at problems at different ways, sparking discussion, making connections, and boosting mathematics achievement. This collection addresses the common challenges students and teachers face when learning to problem solve by offering guidance on Developing students' mathematical reasoning and conceptual understanding Building students' skills with various problem-solving strategies Nurturing mathematical confidence and improving identity and agencyFortified with standards for math practices and processes, the ideas in this guide develop the reasoning and critical-thinking skills needed to become independent problem-solvers for life!

Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed. Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students! That's a problem. But the answer isn't to supplement the curriculum with random tasks. Classroom Ready-Rich Math Tasks for Grades 6-12 equips you with a cohesive solution--50+ mathematical tasks that are rich, research-based, standards-aligned, and classroom-tested. The tasks: Are organized into learning progressions that help all students make the leap from arithmetic to algebra Offer students interesting mathematics problems to think about and solve so math is investigative, interactive, and engaging Provide opportunities for you to connect new content to prior knowledge or focus on an underdeveloped concept Engage students in conceptual understanding, procedural practice, and problem solving through critical thinking and application Come with downloadable planning tools, student resource pages,  and extension questions Include additional support for students who may be strugglingEvery learner deserves opportunities to engage in meaningful, rigorous mathematics. And every teacher can develop mathematical thinking and reasoning abilities in students. Part of the bestselling series spanning elementary and middle school, Classroom-Ready Rich Algebra Tasks, Grades 6-12 is a powerful add-on to any core mathematics program at your school.

Create a pathway to equity by detracking mathematics The tracked mathematics system has been operating in US schools for decades. However, research demonstrates negative effects on subgroups of students by keeping them in a single math track, thereby denying them access to rigorous coursework needed for college and career readiness. The journey to change this involves confronting some long-standing beliefs and structures in education.When supported with the right structures, instructional shifts, coalition building, and educator training and support, the detracking of mathematics courses can be a primary pathway to equity. The ultimate goal is to increase more students' access to and achievement in higher levels of mathematics learning-especially for students who are historically marginalized. Based on the stories and lessons learned from the San Francisco Unified School District educators who have talked the talk and walked the walk, this book provides a model for all those involved in taking on detracking efforts from policymakers and school administrators, to math coaches and teachers.By sharing stories of real-world examples, lessons learned, and prompts to provoke discussion about your own context, the book walks you through:  Designing and gaining support for a policy of detracked math courses Implementing the policy through practical shifts in scheduling, curriculum, professional development, and coaching Supporting and improving the policy through continuous research, monitoring, and maintenance. This book offers the big ideas that help you in your own unique journey to advance equity in your school or district's mathematics education and also provides practical information to help students in a detracked system thrive.

A strengths and assets-based approach to multilingual learner successAs the number of multilingual learners (MLLs) in US schools continues to grow, educators need to learn the moves necessary to support the success of these students in mathematics and science.Equity Moves to Support Multilingual Learners in Mathematics and Science, Grades K-8 focuses on the literacy opportunities that MLLs can achieve when language scaffolds are taught alongside rigorous math and science content. It provides a framework teachers can use to develop equity-centered, scaffolded math, science, or STEAM lessons. Readers will find Anchor phenomena that demonstrate issues with lesson design and delivery and highlight areas to include language and content scaffolds Examples for honoring the languages of students, families, and communities Culturally responsive techniques and easy-to-use tables featuring the equity moves Vignettes showcasing the equity move in the classroom setting A focus on four language demands: vocabulary, discourse, multiple modes of representation, and text featuresWith an assets-based approach to what MLLs can do, this book helps teachers unpack the language demands of mathematics and science and encourages reflection of their own practices in scaffolding for language and culture.

Math really is for everyone-so let's prove it.You've heard it from kids, from friends, and from celebrities: "I'm bad at math." It's a line that society tends to accept without examination-after all, some people just aren't "math people," right?Wrong. As we do with other essential skills, we need to expose the stereotypes, challenge the negative mindsets, and finally confront the systemic opportunity gaps in math education, and replace them with a new vision for what math is, who it's for, and who can excel at it. In this book you'll find Research on teacher and student mindsets and their effect on student achievement Audience-specific and differentiated tools, reflection questions, and suggested actions for educators at all levels of the system Examples from popular media, as well as personal stories and anecdotes Quotes, data-driven figures, and suggestions for deeper learning on all aspects of a positive and equitable vision of math educationBoth social commentary and a toolkit of solutions, this bold new book directly challenges the constructs that have historically dictated our perceptions of what makes someone a "math person". Only by dismantling those misplaced assumptions can we reform math education so it works for everyone. Because in truth, we are all math people.

Target the Math¿Support the Students¿Provide Access for All The need for focused small group math instruction has never been greater. Today¿s education landscape is fraught with learning divides unlike anything we¿ve faced in recent years. We need new ways of teaching students who have remarkably varying levels of understanding and vastly different needs. Meaningful Small Groups in Math, Grades K-5 offers practical guidance on how to meet the diverse needs of today¿s students. Written for K-5 classroom teachers, math interventionists and instructional coaches, this user-friendly, accessible book provides guidance on the necessary components of small group instruction in math, trajectories for small-group instruction on specific concepts, and practical steps for getting started. Readers will find Checklists and templates for implementing small group, sample lessons in the major content domains Emphasis on flexible groups Intervention and extension ideas for differentiating learning A chapter devoted to developing small-group programs across a school or organization Small group instruction in mathematics has not been as well-developed as its counterpart in the reading world. In K-5 math classrooms, small-group instruction has typically been reduced to learning centers and rotation stations, with little emphasis on differentiated, small-group, teacher-facilitated learning. To meet the needs of today¿s students, a more focused approach is needed.

Because fluency practice is not a worksheet.Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered 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. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Multiplication and Division with Fractions and Decimals. With this book, teachers can: Dive deeper into the Significant Strategies for fluency explained in the anchor book Learn how these strategies grow from and relate to the basic fact strategies children learn  Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in multiplying and dividing fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of multiplication and division fluency for fractions and decimals, plus support for engaging families  Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.

How to build productive relationships in math education I wasn¿t taught this way. I can¿t help my child! These are common refrains from parents and guardians, who are often overwhelmed, confused, and frustrated about how to best support their children with what they see as the "new math." Partnering With Parents in Elementary School Math provides educators with long overdue guidance on how to communicate with families about their children¿s learning. Readers will find guidance on how to:  · Understand what fuels parents¿ anxieties and concerns· Set parents¿ expectations about their children¿s math instruction and homework· Communicate clearly and productively about students¿ mathematical progress, strengths, and needs · Run informative and fun family events · Coach parents to portray a productive disposition at home

Detailed plans for helping elementary students experience deep mathematical learning The mathematical tasks in this guide will challenge your youngest students to do deep problem-based learning. These ready-to-implement tasks connect concepts, skills, and practices and encourage students to reason, problem-solve, discuss, explore, justify, 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, 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

Because fluency practice is not a worksheet.Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered 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. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Fractions and Decimals. With this book, teachers can: Dive deeper into the Significant Strategies for fluency explained in the anchor book Learn how these strategies grow from and relate to the basic fact strategies children learn  Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting fractions and decimals, including worked examples, routines, games, and centers Find activities for assessing all components of addition and subtraction fluency for fractions and decimals, plus support for engaging families  Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.

Your guide to grow and learn as a math teacher!Let¿s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally ¿delivers knowledge¿ to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they¿ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues¿especially new teachers¿every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom:  1. How do I build a positive math community?2. How do I structure, organize, and manage my math class?3. How do I engage my students in math?4. How do I help my students talk about math?5. How do I know what my students know and move them forward?Woven throughout, yoüll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question¿Where do I go from here?¿ offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it!  What will be your first step on the journey?

Because fluency practice is not a worksheet.The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered 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. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Multiplication and Division with Whole Numbers. With this book, teachers can:¿ Dive deeper into the Significant Strategies for fluency explained in the anchor book¿ Learn how these strategies grow from and relate to the basic fact strategies children learn ¿ Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers¿ Find activities for assessing all components of multiplication and division fluency plus support for engaging families ¿ Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

Because fluency practice is not a worksheet.The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered 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. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can:¿ Dive deeper into the Significant Strategies for fluency explained in the anchor book¿ Learn how these strategies grow from and relate to the basic fact strategies children learn ¿ Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers¿ Find activities for assessing all components of addition and subtraction fluency plus support for engaging families ¿ Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

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 base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters,  geometric strips and solids, geoboards, 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 over 70 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.

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.

Detailed plans for helping elementary students experience deep mathematical learning The 56 mathematical tasks in this guide will challenge your youngest students to do deep problem-based learning. These ready-to-implement tasks connect concepts, skills, and practices and encourage students to reason, problem-solve, discuss, explore, justify, 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, 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.

Teach your students to become decision makers who rely on their own mathematical thinking.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.

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

Make Rich Math Instruction Come to Life OnlineWhen distance learning is the "new normal," educators know that rich remote math teaching involves more than direct instruction and endless practice problems.This powerful guide translates what we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue and 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·         Assess mathematics learning from a distanceTeaching Math at a Distance offers the support, clarity, and inspiration teachers need to provide all students with deep learning and academic growth.

A schoolwide solution for mathematics success!When "rules" seem to change from year to year, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Yoüll learn to avoid "rules that expire"¿tricks that may seem to help students in one grade but hurt in the long run. Features include ·         Abundant grade-specific examples·         Effective working plans for sustainability·         Barrier-busting tips, to-dos, and try-it-outs·         PLC prompts and discussion points