Classroom Mathematics

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Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics for Social Justice: Resources for the College Classroom

Author : Gizem Karaali
Publisher : American Mathematical Soc.
ISBN 13 : 1470449269
Total Pages : 277 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics for Social Justice: Resources for the College Classroom by : Gizem Karaali

Download or read book Mathematics for Social Justice: Resources for the College Classroom written by Gizem Karaali and published by American Mathematical Soc.. This book was released on 2019-07-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus.

Tactile Learning Activities in Mathematics

Author : Julie Barnes
Publisher : American Mathematical Soc.
ISBN 13 : 1470448017
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tactile Learning Activities in Mathematics by : Julie Barnes

Download or read book Tactile Learning Activities in Mathematics written by Julie Barnes and published by American Mathematical Soc.. This book was released on 2018-08-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Q: What do feather boas, cookies, and paper shredders have in common? A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts. With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an [Author]; index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class. Whether you are new to using hands-on activities in class or are more experienced, the [Author];s hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes. Bon appetit!

Visible Thinking in the K–8 Mathematics Classroom

Author : Ted H. Hull
Publisher : Corwin Press
ISBN 13 : 1452269408
Total Pages : 184 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Visible Thinking in the K–8 Mathematics Classroom by : Ted H. Hull

Download or read book Visible Thinking in the K–8 Mathematics Classroom written by Ted H. Hull and published by Corwin Press. This book was released on 2011-01-21 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seeing is believing with this interactive approach to math instruction Do you ever wish your students could read each other’s thoughts? Now they can—and so can you! This newest book by veteran mathematics educators provides instructional strategies for maximizing students’ mathematics comprehension by integrating visual thinking into the classroom. Included are numerous grade-specific sample problems for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are: Interactive student-to-student learning Increased class participation Development of metacognitive thinking and problem-solving skills

Reimagining the Mathematics Classroom

Author : Cathery Yeh
Publisher : National
ISBN 13 : 9780873539081
Total Pages : 0 pages
Book Rating : 4.5/5 (39 download)

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Book Synopsis Reimagining the Mathematics Classroom by : Cathery Yeh

Download or read book Reimagining the Mathematics Classroom written by Cathery Yeh and published by National. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive systems approach to examining mathematics teaching. This volume synthesizes and illustrates current research on the essential elements of mathematics teaching and learning, unpacking each component. In addition, tips on using technology to assess and enhance learning are embedded throughout the book.

Environmental Mathematics in the Classroom

Author : B. A. Fusaro
Publisher : American Mathematical Soc.
ISBN 13 : 1470457105
Total Pages : 268 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Environmental Mathematics in the Classroom by : B. A. Fusaro

Download or read book Environmental Mathematics in the Classroom written by B. A. Fusaro and published by American Mathematical Soc.. This book was released on 2020-07-14 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental Mathematics seeks to marry the most pressing challenge of our time with the most powerful technology of our time - mathematics. This book does this at an elementary level and demonstrates a wide variety of significant environmental applications that can be explored without resorting to calculus. Environmental Mathematics in the Classroom includes several chapters accessible enough to be a text in a general education course or to enrich an elementary algebra course. Ground-level ozone, pollution and water use, preservation of whales, mathematical economics, the movement of clouds over a mountain range, at least one population model, and a smorgasbord of 'newspaper mathematics' can be studied at this level and would form a stimulating course. It would prepare future teachers not only to learn basic mathematics, but to understand how they can integrate it into other topics that will intrigue students.

5 Principles of the Modern Mathematics Classroom

Author : Gerald Aungst
Publisher : Corwin Press
ISBN 13 : 1506322999
Total Pages : 141 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis 5 Principles of the Modern Mathematics Classroom by : Gerald Aungst

Download or read book 5 Principles of the Modern Mathematics Classroom written by Gerald Aungst and published by Corwin Press. This book was released on 2015-10-09 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Classroom-Ready Rich Math Tasks, Grades 4-5

Author : Beth McCord Kobett
Publisher : Corwin Press
ISBN 13 : 1071841068
Total Pages : 348 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Classroom-Ready Rich Math Tasks, Grades 4-5 by : Beth McCord Kobett

Download or read book Classroom-Ready Rich Math Tasks, Grades 4-5 written by Beth McCord Kobett and published by Corwin Press. This book was released on 2021-04-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploring Mathematics Through Play in the Early Childhood Classroom

Author : Amy Noelle Parks
Publisher : Teachers College Press
ISBN 13 : 0807773476
Total Pages : 161 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Exploring Mathematics Through Play in the Early Childhood Classroom by : Amy Noelle Parks

Download or read book Exploring Mathematics Through Play in the Early Childhood Classroom written by Amy Noelle Parks and published by Teachers College Press. This book was released on 2015-04-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill

A Focus on Addition and Subtraction

Author : Caroline B. Ebby
Publisher : Routledge
ISBN 13 : 1000220931
Total Pages : 245 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis A Focus on Addition and Subtraction by : Caroline B. Ebby

Download or read book A Focus on Addition and Subtraction written by Caroline B. Ebby and published by Routledge. This book was released on 2020-11-23 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Teaching Mathematics in the Visible Learning Classroom, High School

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 1544333129
Total Pages : 278 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, High School by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, High School written by John Almarode and published by Corwin Press. This book was released on 2018-08-17 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Joseph Assof, John Hattie, and Nancy Frey help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of high school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Classroom Discussions

Author : Suzanne H. Chapin
Publisher : Math Solutions
ISBN 13 : 1935099019
Total Pages : 314 pages
Book Rating : 4.9/5 (35 download)

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Book Synopsis Classroom Discussions by : Suzanne H. Chapin

Download or read book Classroom Discussions written by Suzanne H. Chapin and published by Math Solutions. This book was released on 2009 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on a four-year research project funded by the U.S. Department of Education, this book is divided into four sections: Talk in the Mathematics Class (introducing five discussion strategies, or “moves,” that help teachers achieve their instructional goal of strengthening students’ mathematical thinking and learning), What Do We Talk About?, Implementing Talk in the Classroom, and Case Studies."--pub. desc.

Modifying Your Thinking Classroom for Different Settings

Author : Peter Liljedahl
Publisher : Corwin Press
ISBN 13 : 1071862928
Total Pages : 121 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Modifying Your Thinking Classroom for Different Settings by : Peter Liljedahl

Download or read book Modifying Your Thinking Classroom for Different Settings written by Peter Liljedahl and published by Corwin Press. This book was released on 2021-08-17 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Challenging Mathematics In and Beyond the Classroom

Author : Edward J. Barbeau
Publisher : Springer Science & Business Media
ISBN 13 : 0387096035
Total Pages : 342 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Challenging Mathematics In and Beyond the Classroom by : Edward J. Barbeau

Download or read book Challenging Mathematics In and Beyond the Classroom written by Edward J. Barbeau and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Classroom Mathematics Inventory for Grades K-6

Author : Andrea M. Guillaume
Publisher : Pearson College Division
ISBN 13 : 9780132793773
Total Pages : 291 pages
Book Rating : 4.7/5 (937 download)

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Book Synopsis Classroom Mathematics Inventory for Grades K-6 by : Andrea M. Guillaume

Download or read book Classroom Mathematics Inventory for Grades K-6 written by Andrea M. Guillaume and published by Pearson College Division. This book was released on 2011-03-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 1544333250
Total Pages : 281 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 written by John Almarode and published by Corwin Press. This book was released on 2019-02-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Project-Based Learning in the Math Classroom

Author : Chris Fancher
Publisher : Routledge
ISBN 13 : 1000495388
Total Pages : 197 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Project-Based Learning in the Math Classroom by : Chris Fancher

Download or read book Project-Based Learning in the Math Classroom written by Chris Fancher and published by Routledge. This book was released on 2021-10-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project-Based Learning in the Math Classroom explains how to keep inquiry at the heart of mathematics teaching and helps teachers build students' abilities to be true mathematicians. This book outlines basic teaching strategies, such as questioning and exploration of concepts. It also provides advanced strategies for teachers who are already implementing inquiry-based methods. Project-Based Learning in the Math Classroom includes practical advice about strategies the authors have used in their own classrooms, and each chapter features strategies that can be implemented immediately. Teaching in a project-based environment means using great teaching practices. The authors impart strategies that assist teachers in planning standards-based lessons, encouraging wonder and curiosity, providing a safe environment where failure occurs, and giving students opportunities for revision and reflection. Grades 6-10