Mathematics for Equity

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Publisher : Teachers College Press
ISBN 13 : 0807773069
Total Pages : 289 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Mathematics for Equity by : Na’ilah Suad Nasir

Download or read book Mathematics for Equity written by Na’ilah Suad Nasir and published by Teachers College Press. This book was released on 2014-12-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, nationally renowned scholars join classroom teachers to share equity-oriented approaches that have been successful with urban high school mathematics students. Compiling for the first time major research findings and practitioner experiences from Railside High School, the volume describes the evolution of a fundamentally different conception of learners and teaching. The chapters bring together research and reflection on teacher collaboration and professional community, student outcomes and mathematics classroom culture, reform curricula and pedagogy, and ongoing teacher development. Mathematics for Equity will be invaluable reading for teachers, schools, and districts interested in maintaining a focus on equity and improving student learning while making sense of the new demands of the Common Core State Standards. Book Features: Core principles of an equity-centered mathematics program. Examples of how to focus and organize the collaborative work of a math department to develop a shared pedagogy. Student experiences with an equity pedagogy that focuses on building perseverance, flexibility in thinking, and deep conceptual understanding. Connections between reconceptualizing learners and teaching, and achieving deep mathematics learning and equitable outcomes. Contributors include: Jo Boaler, Ilana Seidel Horn, Judith Warren Little, and Rachel Lotan. “Mathematics for Equity provides a kaleidoscopic view, in the voices of teachers, researchers, and students themselves, of one of the nation’s most ambitious and successful attempts at teaching mathematics for equity. It shows what it takes to create a climate that supports students and teachers in engaging in meaningful mathematical activity—and, alas, how vulnerable such environments are to the wrong kinds of ‘accountability.’ Read it and learn.” —Alan H. Schoenfeld, University of California at Berkeley “Want to fix what's wrong with mathematics instruction in your school? Read this book with your colleagues and do what it inspires you to do. Written by the brave teachers and former students who did it, as well as researchers.” —Phil Daro, writing team, Common Core Standards, Strategic Education Research Partnership

Choosing to See

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Author :
Publisher : Dave Burgess Consulting
ISBN 13 : 9781951600808
Total Pages : 230 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Choosing to See by : Pam Seda

Download or read book Choosing to See written by Pam Seda and published by Dave Burgess Consulting. This book was released on 2021-03-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Choosing to See: A Framework for Equity in the Math Classroom By Pamela Seda and Kyndall Brown Most of the top jobs for the future require students to have a strong foundational understanding of mathematics. Our failure to mathematically educate most students in general, and students of color in particular, is bad not only for these students individually but also for our society. In Choosing to See, Pamela Seda and Kyndall Brown offer a substantive, rigorous, and necessary set of interventions to move mathematics education toward greater equity, particularly in serving the needs of Black and Brown students, who are underrepresented and underserved as math scholars. The authors' thoughtful ICUCARE equity framework serves as a lens to help teachers see where they are achieving this alignment and where they are not. Through this lens, choosing to see means caring enough about what you see to act. It means accepting that every one of your students can be an expert given the opportunity. It means recognizing negative stereotypes about marginalized students and understanding their effects. It means knowing that your students have rich lives outside the classroom that can inform what you do inside the classroom. And it means recognizing and celebrating their human dimensions, so that all students' strengths, capabilities, and talents can grow. "A provocative and practical read! Seda and Brown remind us that equity is not a destination but a journey we take together with our students, their families, and our colleagues." DR. TRENA L. WILKERSON, professor, Department of Curriculum and Instruction, Baylor University, president, NCTM "It's one thing to embrace Standards for Mathematics Practices (SMP) but quite another to see the human potential of minoritized children and teach them in ways that ensure they actually succeed. The authors of this book share rich personal stories that not only help teachers to see their students but to also perceive who they are and what they can become." JACQUELINE LEONARD, professor of Mathematics Education, University of Wyoming "Choosing to See is the emotional and spiritual journey that all math educators need to embark on wholeheartedly. The book is a timely primer that takes the deep and complex issue of race and systemic bias in the mathematical experiences of Black students and presents them with unflinching clarity and candor." SUNIL SINGH, author of Pi of Life "This book helps close the gap between recognizing that we can do more to make math classrooms equitable and actually having a plan for how to do it. Pamela and Kyndall are respected leaders in the mathematics education community and help unpack the problems we may not be aware of as well as solutions for addressing them." ROBERT KAPLINSKY, author of Open Middle Math

The Impact of Identity in K-8 Mathematics Learning and Teaching

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Publisher :
ISBN 13 : 9780873536899
Total Pages : 126 pages
Book Rating : 4.5/5 (368 download)

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Book Synopsis The Impact of Identity in K-8 Mathematics Learning and Teaching by : Julia Aguirre

Download or read book The Impact of Identity in K-8 Mathematics Learning and Teaching written by Julia Aguirre and published by . This book was released on 2013 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions

New Directions for Equity in Mathematics Education

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Publisher : Cambridge University Press
ISBN 13 : 9780521477208
Total Pages : 380 pages
Book Rating : 4.4/5 (772 download)

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Book Synopsis New Directions for Equity in Mathematics Education by : Walter G. Secada

Download or read book New Directions for Equity in Mathematics Education written by Walter G. Secada and published by Cambridge University Press. This book was released on 1995-04-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines equity from the standpoint of mathematics education - an excellent forum for the topic, since the results are quantifiable and the disparity in performance is stark.

Smarter Together! Collaboration and Equity in Elementary Mathematics

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536561
Total Pages : 147 pages
Book Rating : 4.5/5 (365 download)

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Book Synopsis Smarter Together! Collaboration and Equity in Elementary Mathematics by : Helen Featherstone

Download or read book Smarter Together! Collaboration and Equity in Elementary Mathematics written by Helen Featherstone and published by National Council of Teachers of English. This book was released on 2011 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the boys in the group responded, “That’s so smart! That’s so smart! That’s what we should do!” Complex Instruction (CI) is a response to the paradox that group work offers much potential but often creates circumstances where few students seem to learn. CI is a set of ideas and strategies that address the problems that confound group work, but that create powerful learning for children. This book offers guidance to readers on how to use these strategies and ideas. The authors describe the lessons they learned using group work, explain how complex instruction helps unsuccessful students and analyse how to design assignments that support group learning - using group-worthy tasks - giving readers examples of good tasks and help in adapting math problems from their own curricula.

Improving Access to Mathematics

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Improving Access to Mathematics by : Na'ilah Suad Nasir

Download or read book Improving Access to Mathematics written by Na'ilah Suad Nasir and published by . This book was released on 2007 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key experts with extensive research and classroom experience examine how the multiple dimensions of race, class, culture, power, and knowledge interact in mathematics classrooms to foster and create inequities. Chapters explore new theoretical perspectives, describe successful classroom practices, and offer insights into how we might develop an effective sociocultural approach to equity in math education. Seeing diversity as an instructional resource rather than as an obstacle to be overcome, this forward-looking volume: Helps us to understand the process by which diverse learners experience mathematics education. Examines the way students’ identities can influence their mathematics learning. Describes mathematics education programs that have demonstrated their success with poor, urban, and rural students of color. Explains why certain teaching and learning interventions are successful. Offers culturally based approaches to mathematics education, including activities for the classroom.

Strengths-Based Teaching and Learning in Mathematics

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Publisher : Corwin
ISBN 13 : 1544374909
Total Pages : 273 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin. This book was released on 2020-02-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Equity in Mathematics Education

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Author :
Publisher : IAP
ISBN 13 : 1641137304
Total Pages : 250 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis Equity in Mathematics Education by : Constantinos Xenofontos

Download or read book Equity in Mathematics Education written by Constantinos Xenofontos and published by IAP. This book was released on 2019-10-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the steps of the socio-political turn of the discipline, Equity in Mathematics Education: Addressing a Changing World emerged as a response of the editor and the chapter authors to the enormous changes that have in the last years occurred at a global level (for example, the ongoing war in Syria, the political [in]actions of powerful nations to fight climate change, the rise of far-right parties in many countries around the world, and so on). In recent years, massive migration waves from the Middle East have caused significant demographic changes to many European countries, Canada and the US, that are reflected in schools and classrooms. These observations have led this book’s contributors to reconsider the concept and/or practice of equity, and its related concept, social justice, and the role of mathematics education research in addressing and promoting a fairer world. Contrary to other, perhaps highly specialized books concerned with similar topics, this book aims to provide a smooth, yet deep introduction to those who are new to this research area. Equity in Mathematics Education: Addressing a Changing World contributes to the understanding of equity and its complex relations to mathematics education. It is anticipated that it will support individuals in teaching, educational research, policy making and planning, and teacher education, in becoming more aware of the interplay between school mathematics and socio-political issues that, ultimately, impacts the lives of learners and their communities, teachers as practitioners and as citizens, the wider society, and the world as a whole. Even though each chapter can be read independently of others, an engagement with all chapters in this volume will provide readers with a solid holistic understanding of the research territory of equity and mathematics education.

Building Thinking Classrooms in Mathematics, Grades K-12

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Author :
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.

Rethinking Mathematics

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Publisher : Rethinking Schools
ISBN 13 : 0942961544
Total Pages : 192 pages
Book Rating : 4.9/5 (429 download)

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Book Synopsis Rethinking Mathematics by : Eric Gutstein

Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Reimagining the Mathematics Classroom

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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.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

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Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Principles to Actions

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Publisher : National Council of Teachers of Mathematics, Incorporated
ISBN 13 : 9780873537742
Total Pages : 139 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Principles to Actions by : National Council of Teachers of Mathematics

Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Teaching Math at a Distance, Grades K-12

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Publisher : Corwin Press
ISBN 13 : 1071837125
Total Pages : 194 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math at a Distance, Grades K-12 by : Theresa Wills

Download or read book Teaching Math at a Distance, Grades K-12 written by Theresa Wills and published by Corwin Press. This book was released on 2020-10-12 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide 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 Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.

Visible Learning for Mathematics, Grades K-12

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Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

English Language Learners in the Mathematics Classroom

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Publisher : Corwin Press
ISBN 13 : 1452282501
Total Pages : 145 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis English Language Learners in the Mathematics Classroom by : Debra Coggins

Download or read book English Language Learners in the Mathematics Classroom written by Debra Coggins and published by Corwin Press. This book was released on 2007-01-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen mathematical understandings and academic vocabulary with standards-based strategies! With straightforward language and examples, the authors help teachers develop specialized understanding and knowledge of strategies for supporting a high level of mathematics learning along with language acquisition for ELLs. Providing specific suggestions for teaching standards-based mathematics, this resource: Demonstrates how to incorporate ELL supports and strategies through sample lessons Uses concrete materials and visuals to connect mathematical concepts with language development Focuses on essential mathematical vocabulary Includes brief research summaries with rationales for recommended practices

A Journey in Mathematics Education Research

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9048197295
Total Pages : 255 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis A Journey in Mathematics Education Research by : Erna Yackel

Download or read book A Journey in Mathematics Education Research written by Erna Yackel and published by Springer Science & Business Media. This book was released on 2010-11-30 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.