The 'Resource' Approach to Mathematics Education

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Author :
Publisher : Springer Nature
ISBN 13 : 303020393X
Total Pages : 564 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The 'Resource' Approach to Mathematics Education by : Luc Trouche

Download or read book The 'Resource' Approach to Mathematics Education written by Luc Trouche and published by Springer Nature. This book was released on 2019-11-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.

The 'resource' Approach to Mathematics Education

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Publisher :
ISBN 13 : 9783030203948
Total Pages : pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis The 'resource' Approach to Mathematics Education by :

Download or read book The 'resource' Approach to Mathematics Education written by and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers' work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers' work through their interactions with resources for teaching, held in Lyon, France.

Language and Mathematics Education

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Author :
Publisher : Information Age Pub Incorporated
ISBN 13 : 9781617351594
Total Pages : 180 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Language and Mathematics Education by : Judit N. Moschkovich

Download or read book Language and Mathematics Education written by Judit N. Moschkovich and published by Information Age Pub Incorporated. This book was released on 2010 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University Marketing description: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutierrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.

Strengths-Based Teaching and Learning in Mathematics

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Author :
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.

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.

Latinos/as and Mathematics Education

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Author :
Publisher : IAP
ISBN 13 : 1617354228
Total Pages : 363 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Latinos/as and Mathematics Education by : Kip Téllez

Download or read book Latinos/as and Mathematics Education written by Kip Téllez and published by IAP. This book was released on 2011-05-01 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

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Author :
Publisher : Corwin
ISBN 13 : 1071818430
Total Pages : 265 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 by : Jennifer M. Bay-Williams

Download or read book Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 written by Jennifer M. Bay-Williams and published by Corwin. This book was released on 2021-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. 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.

Mathematics Education for a New Era

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Author :
Publisher : CRC Press
ISBN 13 : 1439867712
Total Pages : 218 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics Education for a New Era by : Keith Devlin

Download or read book Mathematics Education for a New Era written by Keith Devlin and published by CRC Press. This book was released on 2011-02-25 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math. Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce videogames for mathematics education, Mathematics Education for a New Era: Video Games as a Medium for Learning describes exactly what is involved in designing and producing successful math educational videogames that foster the innovative mathematical thinking skills necessary for success in a global economy. Read the author's monthly MAA column Devlin's Angle

Mathematics Education in the Digital Age

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Author :
Publisher : Routledge
ISBN 13 : 1000390799
Total Pages : 246 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematics Education in the Digital Age by : Alison Clark-Wilson

Download or read book Mathematics Education in the Digital Age written by Alison Clark-Wilson and published by Routledge. This book was released on 2021-05-24 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

Improving Primary Mathematics Education, Teaching and Learning

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Author :
Publisher : Springer
ISBN 13 : 1137529806
Total Pages : 255 pages
Book Rating : 4.1/5 (375 download)

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Book Synopsis Improving Primary Mathematics Education, Teaching and Learning by : Mellony Graven

Download or read book Improving Primary Mathematics Education, Teaching and Learning written by Mellony Graven and published by Springer. This book was released on 2017-01-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.

Compendium for Early Career Researchers in Mathematics Education

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Publisher : Springer
ISBN 13 : 3030156362
Total Pages : 532 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Compendium for Early Career Researchers in Mathematics Education by : Gabriele Kaiser

Download or read book Compendium for Early Career Researchers in Mathematics Education written by Gabriele Kaiser and published by Springer. This book was released on 2019-04-26 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.

New Directions for Situated Cognition in Mathematics Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387715770
Total Pages : 728 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis New Directions for Situated Cognition in Mathematics Education by : Anne Watson

Download or read book New Directions for Situated Cognition in Mathematics Education written by Anne Watson and published by Springer Science & Business Media. This book was released on 2008-01-03 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research.

Focus on Mathematics Education Research

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Author :
Publisher : Nova Science Publishers
ISBN 13 : 9781536118261
Total Pages : 0 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Focus on Mathematics Education Research by : Keith Patterson

Download or read book Focus on Mathematics Education Research written by Keith Patterson and published by Nova Science Publishers. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecturing quality and professional development for lecturers has received growing attention within international undergraduate mathematics forums. The use of videos to inform teacher-practice has been common in research and in pre-service teacher education for many years. However, more recent interest has focused on how videos may be used for professional development of teachers, as separate from the more common research focus. It is indisputable that the verification of the gained knowledge constitutes a significant part of educational process. It not only provides the pupils and their parents with important information on the level of gained capabilities, but it is also a form of control for a teacher who can on the basis of them assess the efficiency of the methods used in the teaching process. Early mathematics education is foundational and attention to quality early math education is vital to ensure students succeed in schools. This book also looks at an innovative approach designed for mathematics in chemistry degree courses, which takes advantage of the Laplace Transform versatility. Strong content knowledge not only allows mathematics teachers to recognize students misconceptions, but it also enables them to direct students to a deeper understanding of the concepts involved. There is empirical evidence to indicate that mathematics teachers who possess deep content knowledge in the subject area tend to have greater repertoire of effective instructional strategies. Since the late eighties, research on the history of mathematics education in Spain has experienced an increase. The increase of calls for research projects both at national and regional level, has contributed to the creation of research groups and it has injected economic resources to research in this field.

Handbook of International Research in Mathematics Education

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Author :
Publisher : Routledge
ISBN 13 : 1134626649
Total Pages : 739 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English

Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2015-07-30 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.

Teaching Mathematics in Primary Schools

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Author :
Publisher : Routledge
ISBN 13 : 1000247708
Total Pages : 451 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Teaching Mathematics in Primary Schools by : Robyn Jorgensen

Download or read book Teaching Mathematics in Primary Schools written by Robyn Jorgensen and published by Routledge. This book was released on 2020-08-12 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is an outstanding book: it should be high on the list of any primary school teacher's set of references and a required text for pre-service teachers.' Australian Primary Mathematics Classroom In our technology-rich world, numeracy is just as important as the smartphone in your pocket. Students need to develop mathematical ways of seeing the world and strong problem-solving skills, and those foundations are taught in the primary school classroom. Teaching Mathematics in Primary Schools covers the mathematical content taught in primary and middle years, always emphasising how students can connect what they learn in mathematics with other curriculum areas and with the world beyond the classroom. The authors draw on the latest international research to show how teachers can develop a rich repertoire of classroom teaching techniques, and effective planning, assessment and reporting methods. They outline approaches to creating supportive learning environments for all students, and to building their knowledge and confidence in using mathematics. This third edition has been updated throughout and includes a new chapter on numeracy. Evidence-based uses of digital technologies to support learning and teaching are included in every chapter. With practical strategies that can be implemented in the classroom, this book is an invaluable resource for pre-service and early career primary and middle years mathematics teachers.

Eyes on Math

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Publisher : Teachers College Press
ISBN 13 : 0807772364
Total Pages : 241 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Eyes on Math by : Marian Small

Download or read book Eyes on Math written by Marian Small and published by Teachers College Press. This book was released on 2015-04-25 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with: Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding. This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students. “This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.” —Lucy West, education consultant Praise for Good Questions and More Good Questions! “A must for any educator who is serious about reaching more students more often and achieving more positive results.” —Resources for the Mathematics Educator “A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.” —Choice “A great resource.” —Mathematics Teaching in the Middle School “I highly recommend this user-friendly resource for all mathematics teachers.” —Teaching Children Mathematics

A Focus on Addition and Subtraction

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Author :
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.