Researching And Using Progressions Trajectories In Mathematics Education

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Researching and Using Progressions (Trajectories) in Mathematics Education

Author :
Publisher : BRILL
ISBN 13 : 9004396446
Total Pages : 255 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis Researching and Using Progressions (Trajectories) in Mathematics Education by :

Download or read book Researching and Using Progressions (Trajectories) in Mathematics Education written by and published by BRILL. This book was released on 2019-02-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1135843791
Total Pages : 552 pages
Book Rating : 4.1/5 (358 download)

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Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements

Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2009-04-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Hypothetical Learning Trajectories

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1136506942
Total Pages : 188 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Hypothetical Learning Trajectories by : Douglas H. Clements

Download or read book Hypothetical Learning Trajectories written by Douglas H. Clements and published by Routledge. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Early Childhood Mathematics Education Research

Author : Julie Sarama
Publisher : Routledge
ISBN 13 : 1135592497
Total Pages : 440 pages
Book Rating : 4.1/5 (355 download)

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Book Synopsis Early Childhood Mathematics Education Research by : Julie Sarama

Download or read book Early Childhood Mathematics Education Research written by Julie Sarama and published by Routledge. This book was released on 2009-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

Compendium for Research in Mathematics Education

Author : Jinfa Cai
Publisher : National Council of Teachers of English
ISBN 13 : 9780873537117
Total Pages : 1008 pages
Book Rating : 4.5/5 (371 download)

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Book Synopsis Compendium for Research in Mathematics Education by : Jinfa Cai

Download or read book Compendium for Research in Mathematics Education written by Jinfa Cai and published by National Council of Teachers of English. This book was released on 2017 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Learning Trajectories for Teachers

Author : Paola Sztajn
Publisher : Teachers College Press
ISBN 13 : 0807761443
Total Pages : 177 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Learning Trajectories for Teachers by : Paola Sztajn

Download or read book Learning Trajectories for Teachers written by Paola Sztajn and published by Teachers College Press. This book was released on 2019-06-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly consider and use learning trajectories to inform teacher planning and instruction.” —Dr. Francis (Skip) Fennell, professor emeritus, McDaniel College, and past president of the Association of Mathematics Teacher Educators and the National Council of Teachers of Mathematics “This is the first book that I’ve come across that unpacks what it means to have a framework for student learning at the center of one’s instruction.” —Mary Kay Stein, University of Pittsburgh School of Education “I find this book useful for mathematics educators interested in framing learning trajectories across several domains—including tasks, discourse, curriculum, learners’ understanding, and assessment—to support professional development. Learning trajectories help us make connections among the domains and deepens professional knowledge and understanding.” —Robert Q. Berry III, University of Virginia, and president of the National Council of Teachers of Mathematics

Learning Progressions in Science

Author : Alicia C. Alonzo
Publisher : Springer Science & Business Media
ISBN 13 : 9460918247
Total Pages : 495 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Learning Progressions in Science by : Alicia C. Alonzo

Download or read book Learning Progressions in Science written by Alicia C. Alonzo and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning progressions – descriptions of increasingly sophisticated ways of thinking about or understanding a topic (National Research Council, 2007) – represent a promising framework for developing organized curricula and meaningful assessments in science. In addition, well-grounded learning progressions may allow for coherence between cognitive models of how understanding develops in a given domain, classroom instruction, professional development, and classroom and large-scale assessments. Because of the promise that learning progressions hold for bringing organization and structure to often disconnected views of how to teach and assess science, they are rapidly gaining popularity in the science education community. However, there are signi?cant challenges faced by all engaged in this work. In June 2009, science education researchers and practitioners, as well as scientists, psychometricians, and assessment specialists convened to discuss these challenges as part of the Learning Progressions in Science (LeaPS) conference. The LeaPS conference provided a structured forum for considering design decisions entailed in four aspects of work on learning progressions: de?ning learning progressions; developing assessments to elicit student responses relative to learning progressions; modeling and interpreting student performance with respect to a learning progressions; and using learning progressions to in?uence standards, curricula, and teacher education. This book presents speci?c examples of learning progression work and syntheses of ideas from these examples and discussions at the LeaPS conference.

International Handbook of Mathematics Teacher Education: Volume 2

Author :
Publisher : BRILL
ISBN 13 : 9004418962
Total Pages : 445 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis International Handbook of Mathematics Teacher Education: Volume 2 by :

Download or read book International Handbook of Mathematics Teacher Education: Volume 2 written by and published by BRILL. This book was released on 2019-12-16 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and look forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 2, Tools and Processes in Mathematics Teacher Education, describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating the mathematics teacher learning and development. It provides insights of how mathematics teacher educators think about and approach their work with teachers. Thus, as the second volume in the series, it broadens our understanding of the mathematics teacher and their learning and teaching.

Special Issues in Early Childhood Mathematics Education Research

Author :
Publisher : BRILL
ISBN 13 : 9004510680
Total Pages : 323 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :

Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Authentic Assessment and Evaluation Approaches and Practices in a Digital Era

Author :
Publisher : BRILL
ISBN 13 : 9004501576
Total Pages : 414 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Authentic Assessment and Evaluation Approaches and Practices in a Digital Era by :

Download or read book Authentic Assessment and Evaluation Approaches and Practices in a Digital Era written by and published by BRILL. This book was released on 2021-09-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expertly illustrates the important process of authentic assessment and evaluation in the construction and dissemination of educational knowledge. One of the key strengths of this book is the diversity of contexts in which the various aspects of assessment are evidenced and discussed.

Research in Mathematics Education in Australasia 2020–2023

Author : Carmel Mesiti
Publisher : Springer Nature
ISBN 13 : 981971964X
Total Pages : 351 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Research in Mathematics Education in Australasia 2020–2023 by : Carmel Mesiti

Download or read book Research in Mathematics Education in Australasia 2020–2023 written by Carmel Mesiti and published by Springer Nature. This book was released on with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantitative Measures of Mathematical Knowledge

Author : Jonathan Bostic
Publisher : Routledge
ISBN 13 : 0429942249
Total Pages : 267 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Quantitative Measures of Mathematical Knowledge by : Jonathan Bostic

Download or read book Quantitative Measures of Mathematical Knowledge written by Jonathan Bostic and published by Routledge. This book was released on 2019-04-29 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.

Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness

Author : Betts, Anastasia Lynn
Publisher : IGI Global
ISBN 13 : 1799886514
Total Pages : 860 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness by : Betts, Anastasia Lynn

Download or read book Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness written by Betts, Anastasia Lynn and published by IGI Global. This book was released on 2022-02-11 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: School readiness is as much about schools recognizing the existing capabilities and knowledge each child has when they enter school as it is about supporting children and families in their preparation for entering formal learning environments. Effective approaches that address learning variability must take these differences into account, recognizing and leveraging opportunities inherent in the child’s ecosystem of resources. The Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness assembles the most current research and thought-leadership on the ways in which innovative education stakeholders are working together to impact the most critical years in a child’s life—the years leading up to and including kindergarten. Covering topics such as change agency, experience quality, and social-emotional development, this book is a crucial resource for educational researchers, child development professionals, school administrators, pre-K teachers, pre-service teachers, program managers, policymakers, non-profit service organizations, early childhood EdTech developers, curriculum developers, and academicians.

Enabling Mathematics Learning of Struggling Students

Author : Yan Ping Xin
Publisher : Springer Nature
ISBN 13 : 3030952169
Total Pages : 389 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Enabling Mathematics Learning of Struggling Students by : Yan Ping Xin

Download or read book Enabling Mathematics Learning of Struggling Students written by Yan Ping Xin and published by Springer Nature. This book was released on 2022-07-11 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students’ mathematical thinking, thus contributing an alternative view of mathematical progression in which students are taught conceptually. The research-based volume presents a unique collaboration among researchers in special education, psychology, and mathematics education from around the world. It reflects an ongoing work by members of the International Group for the Psychology of Mathematics Education (PME) and the North American Chapter of the PME Working Groups. The authors of chapters in this book, who have been collaborating extensively over the past 7 years, are from Australia, Canada, the United Kingdom, and the United States.

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 Conceptually

Author : Beth L. MacDonald
Publisher : Sage Publications UK
ISBN 13 : 1529618177
Total Pages : 268 pages
Book Rating : 4.5/5 (296 download)

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Book Synopsis Teaching Mathematics Conceptually by : Beth L. MacDonald

Download or read book Teaching Mathematics Conceptually written by Beth L. MacDonald and published by Sage Publications UK. This book was released on 2023-04-08 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expands upon the guiding principles at the heart of Math Recovery® instruction, exploring their connections with learning theory, practical application in the classroom and their wider links to agreed concepts of high-quality mathematics teaching. It provides a well-rounded overview of all major aspects of mathematics teaching including inquiry-based and constructivist approaches, planning and assessment, and strategies that offer children opportunities for reflection, satisfaction and increasing challenge. Particular focus is placed on equitable and inclusive practices in mathematics and how we can develop teaching that connects with the abilities, cultures, and lived experiences of all children. This is essential reading for all teachers familiar with the Math Recovery® approach and classroom mathematics teachers in elementary and primary schools everywhere seeking to enhance their own professional knowledge and understanding. Beth L. MacDonald is an associate professor in Early Childhood Mathematics Education in the School of Teaching and Learning at Illinois State University. Jonathan N. Thomas is an associate professor of mathematics education and the chairperson of the Department of STEM Education at the University of Kentucky.