Researching And Using Progressions Trajectories In Mathematics Education

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Researching And Using Progressions Trajectories In Mathematics Education

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Author :
language : en
Publisher: BRILL
Release Date : 2019-02-04

Researching And Using Progressions Trajectories In Mathematics Education written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-04 with Education categories.

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 Over Time

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Author : Alan P. Maloney
language : en
Publisher: Information Age Publishing
Release Date : 2014-06-18

Learning Over Time written by Alan P. Maloney and has been published by Information Age Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-18 with Education categories.

This book explores how children learn mathematics through learning trajectories, providing insights into their development and applications. It emphasizes conceptual understanding over procedural knowledge and highlights the importance of these trajectories in instruction, professional development, standards, and assessment.

Learning And Teaching Early Math

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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2009-04-01

Learning And Teaching Early Math written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-01 with Education categories.

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

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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2012-12-06

Hypothetical Learning Trajectories written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.

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

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Author : Julie Sarama
language : en
Publisher: Routledge
Release Date : 2009-04-01

Early Childhood Mathematics Education Research written by Julie Sarama and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-01 with Education categories.

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.

International Handbook Of Mathematics Teacher Education Volume 2

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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-16

International Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with Education categories.

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.

Learning Trajectories For Teachers

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Author : Paola Sztajn
language : en
Publisher: Teachers College Press
Release Date : 2019-06-07

Learning Trajectories For Teachers written by Paola Sztajn and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-07 with Education categories.

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

Special Issues In Early Childhood Mathematics Education Research

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Author :
language : en
Publisher: BRILL
Release Date : 2022-02-14

Special Issues In Early Childhood Mathematics Education Research written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-14 with Education categories.

In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood. The chapters cover all mathematics curriculum-related issues in early childhood (number, geometry, patterns and structures and mathematics in daily life). Special attention is given to teachers knowledge and innovative research issues such as quantifiers among young children. Contributors are: Abraham Arcavi, Ruthi Barkai, Douglas H. Clements, Bat-Sheva Eylon, Dina Hassidov, Rina Hershkowitz, Leah Ilani, Bat-Sheva Ilany, Candace Joswick, Esther Levenson, Zvia Markovits, Zemira Mevarech, Joanne Mulligan, Sherman Rosenfeld, Flavia Santamaria, Julie Sarama, Juhaina Awawdeh Shahbari, Amal Sharif-Rasslan, Tal Sharir, Nora Scheuer, Pessia Tsamir, Dina Tirosh and Ana Clara Ventura.

Playful Mathematics

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Author : Helen J. Williams
language : en
Publisher: Sage Publications UK
Release Date : 2022-03-10

Playful Mathematics written by Helen J. Williams and has been published by Sage Publications UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-10 with Education categories.

Empowering early years teachers to see the learning potential of playful mathematics

Early Childhood Mathematics Education Research

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Author : Julie Sarama
language : en
Publisher: Routledge
Release Date : 2009-04-01

Early Childhood Mathematics Education Research written by Julie Sarama and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-01 with Education categories.

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.