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Cognitive Foundations For Improving Mathematical Learning

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Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2019-01-30
ISBN : 0128159529
Language : En, Es, Fr & De

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Book Description :

Cognitive Foundations for Improving Mathematical Learning, Volume 5, the latest release in the Mathematical Cognition and Learning series, focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. Chapters cover the use of numerical play and games for improving foundational number knowledge, school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. In addition, the book examines learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and more. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2019-01-03
ISBN : 0128159537
Language : En, Es, Fr & De

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Book Description :

The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Advances in Child Development and Behavior

Advances in Child Development and Behavior Book
Author : Anonim
Publisher : Academic Press
Release : 2021-07-13
ISBN : 0323850669
Language : En, Es, Fr & De

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Book Description :

Advances in Child Development and Behavior, Volume 61, the latest release in this classic resource on the field of developmental psychology, includes a variety of timely updates, with this release presenting chapters on The Development of Mental Rotation Ability Across the First Year After Birth, Groups as Moral Boundaries: A Developmental Perspective, The Development of Time Concepts, Mother-child Physiological Synchrony, Children's Social Reasoning About Others: Dispositional and Contextual Influences, Mindful Thinking: Does it Really Help Children?, On the Emergence of Differential Responding to Social Categories, Trust in Early Childhood, Infant Imitation, Social-Cognition and Brain Development, and more. Contains chapters that highlight some of the most recent research in the area of child development and behavior Presents a high-quality and wide range of topics covered by well-known professionals

Development of Mathematical Cognition

Development of Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2015-10-03
ISBN : 0128019093
Language : En, Es, Fr & De

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Book Description :

Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Book
Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2017-02-08
ISBN : 0128133686
Language : En, Es, Fr & De

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Book Description :

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Building the Foundation Whole Numbers in the Primary Grades

Building the Foundation  Whole Numbers in the Primary Grades Book
Author : Maria G. Bartolini Bussi,Xu Hua Sun
Publisher : Springer
Release : 2018-03-29
ISBN : 3319635557
Language : En, Es, Fr & De

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Book Description :

This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.

International Handbook of Mathematical Learning Difficulties

International Handbook of Mathematical Learning Difficulties Book
Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Release : 2019-01-30
ISBN : 3319971484
Language : En, Es, Fr & De

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Book Description :

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2018-07-27
ISBN : 0128125756
Language : En, Es, Fr & De

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Book Description :

Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers

Spatial Reasoning in the Early Years

Spatial Reasoning in the Early Years Book
Author : Brent Davis,Spatial Reasoning Study Group
Publisher : Routledge
Release : 2015-04-17
ISBN : 1317648110
Language : En, Es, Fr & De

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Book Description :

Over the past several years, "spatial reasoning" has gained renewed prominence among mathematics educators, as spatial skills are proving to be not just essential to mathematical understanding but also strong predictors of future success beyond the classroom in fields such as science, technology, and engineering. By exploring both primary and emergent dimensions, Spatial Reasoning in the Early Years helps define the concept of spatial reasoning and provides compelling evidence of the need for a clear focus within early education specifically. The authors review the research, look across current theories, and investigate implications for contemporary school mathematics pedagogy as they identify areas of inquiry necessary to bring a stronger spatial reasoning emphasis into the classroom. The book contains many classroom- or workshop-based vignettes, highlighting the complexity of spatial reasoning in educational practice, providing an in-depth analysis of spatial reasoning as it applies to classroom practice, and offering new ways of framing lessons to help young students hone their spatial reasoning abilities. The book concludes with a forward-looking agenda that contributes to developing a greater understanding of the role spatial reasoning plays in educational contexts and beyond. Supported by plentiful visual representations, Spatial Reasoning in the Early Years skillfully integrates the conceptual and the concrete, making this text a dynamic and accessible resource.

Foundations for the Future in Mathematics Education

Foundations for the Future in Mathematics Education Book
Author : Richard A. Lesh,Eric Hamilton,James J. Kaput
Publisher : Routledge
Release : 2020-10-08
ISBN : 1000149501
Language : En, Es, Fr & De

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Book Description :

The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.

Resources in Education

Resources in Education Book
Author : Anonim
Publisher : Unknown
Release : 1998
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Resources in Education book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Reading Difficulties and Dyslexia

Reading Difficulties and Dyslexia Book
Author : J P Das
Publisher : Sage Publications Pvt. Limited
Release : 2020-09-15
ISBN : 9353884640
Language : En, Es, Fr & De

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Book Description :

Previously, dyslexia was defined as primarily a deficit at the word reading level. When the original edition of this book was published, the core deficit was thought to be phonological coding. The search for a single factor for dyslexia is no longer pursued. However, we must explore why approximately 15 per cent of school children have difficulties in learning to read or doing math. This updated edition offers an explanation based on contemporary developments in the study of cognition and neuroscience. It also studies the impact of poverty on learning, a relatively new but extremely important area of interest. Going beyond a simple view of reading and math, Reading Difficulties and Dyslexia discusses distal factors such as cognitive flexibility and attentional control. A distinguishing feature of this book is that it presents intervention programmes, based on the distal factors, which can greatly improve word decoding and comprehension, and enhance number sense.

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood Book
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Release : 2009-12-13
ISBN : 0309128064
Language : En, Es, Fr & De

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Book Description :

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Deaf Cognition

Deaf Cognition Book
Author : Marc Marschark,Peter C Hauser
Publisher : Oxford University Press
Release : 2008-06-30
ISBN : 0190451351
Language : En, Es, Fr & De

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Book Description :

Deaf Cognition examines the cognitive underpinnings of deaf individuals' learning. Marschark and Hauser have brought together scientists from different disciplines, which rarely interact, to share their ideas and create this book. It contributes to the science of learning by describing and testing theories that might either over or underestimate the role that audition or vision plays in learning and memory, and by shedding light on multiple pathways for learning. International experts in cognitive psychology, brain sciences, cognitive development, and deaf children offer a unique, integrative examination of cognition and learning, with discussions on their implications for deaf education. Each chapter focuses primarily on the intersection of research in cognitive psychology, developmental psychology, and deaf education. The general theme of the book is that deaf and hearing individuals differ to some extent in early experience, brain development, cognitive functioning, memory organization, and problem solving. Identifying similarities and differences among these domains provides new insights into potential methods for enhancing achievement in this traditionally under-performing population.

The Cognitive Foundations of Reading and Its Acquisition

The Cognitive Foundations of Reading and Its Acquisition Book
Author : Wesley A. Hoover,William E. Tunmer
Publisher : Springer Nature
Release : 2020-06-09
ISBN : 3030441954
Language : En, Es, Fr & De

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Book Description :

This book serves as a succinct resource on the cognitive requirements of reading. It provides a coherent, overall view of reading and learning to read, and does so in a relatively sparse fashion that supports retention. The initial sections of the book describe the cognitive structure of reading and the cognitive foundation upon which that structure is built. This is followed by discussions of how an understanding of these cognitive requirements can be used in practice with standards, assessments, curriculum and instruction, to advance the teaching of reading and the delivery of interventions for students who encounter difficulties along the way. The book focuses on reading in English as its exemplar, but shows how its framework can be adapted to understand the broad cognitive requirements for reading and learning to read in any phonologically-based orthography. It provides a way for reading professionals to think about reading and its development and gives them mechanisms that, coupled with such understanding, will help them link what children must know to become strong readers to what teaching can best provide through the competent use of available tools. In this way, the book will help reading professionals be both efficient and effective in what they provide all their students and be much better equipped to support those students who struggle to learn to read.

Enhancing Mathematics Understanding through Visualization The Role of Dynamical Software

Enhancing Mathematics Understanding through Visualization  The Role of Dynamical Software Book
Author : Habre, Samer
Publisher : IGI Global
Release : 2013-05-31
ISBN : 1466640510
Language : En, Es, Fr & De

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Book Description :

Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood Book
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Release : 2009-11-13
ISBN : 9780309147439
Language : En, Es, Fr & De

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Book Description :

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

EBOOK Improving Primary Mathematics Teaching and Learning

EBOOK  Improving Primary Mathematics Teaching and Learning Book
Author : Mary McAteer
Publisher : McGraw-Hill Education (UK)
Release : 2013-01-16
ISBN : 033524677X
Language : En, Es, Fr & De

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Book Description :

This book stems from the authors’ shared passion for primary mathematics teaching and offers an exploration of contemporary issues facing teachers. Drawing on research and case studies from practice, the book explores a wide range of concepts as starting points for professional reflection and personal development to improve teaching and learning in primary mathematics. Topics covered include:Using children’s mathematical misconceptions to support teaching and learningThe role of talk in developing mathematical understandingEvidence-based teaching and learningMaking mathematics real and purposeful beyond the classroomThe role of games in teaching and learning mathematicsICT and mathematicsThe book illustrates the ways in which professional development that is rooted in practitioner inquiry and research enables teachers to advance their practice, resulting in improved outcomes for their pupils. Improving Primary Mathematics Teaching and Learning is appropriate for teachers undertaking professional development programmes (e.g. MaST, MA programmes), trainee teachers and staff on those programmes, both local authority and independent. Contributors: Mike Askew, Sue Bailey, Elizabeth Carruthers, Victoria Grinyer, Alice Hansen, Lynne McClure, Effie Maclellan, Suzan Nelson, Carol Rushworth-Little, Steve Sherer, Ian Thompson, Vivien Townsend, Maulfry Worthington. "In this book Mary McAteer brings together contributors with a wealth of experience in research and practice. The way in which practical and theoretical perspectives are brought to life with case studies and examples make it a highly readable text and every chapter adds new insights into children's mathematics learning." Dr Julia Anghileri, University of Cambridge (retired)

Improving Primary Mathematics Education Teaching and Learning

Improving Primary Mathematics Education  Teaching and Learning Book
Author : Mellony Graven,Hamsa Venkat
Publisher : Springer
Release : 2017-01-19
ISBN : 1137529806
Language : En, Es, Fr & De

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Book Description :

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.

Towards Equity in Mathematics Education

Towards Equity in Mathematics Education Book
Author : Helen Forgasz,Ferdinand Rivera
Publisher : Springer Science & Business Media
Release : 2012-03-19
ISBN : 3642277020
Language : En, Es, Fr & De

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Book Description :

​​This volume gathers together twenty major chapters that tackle a variety of issues associated with equity in mathematics education along the dimensions of gender, culture, curriculum diversity, and matters of a biological nature. The pursuit of equity in mathematics education is an important concern in the history of the present. Since there is no doubt about the significant role of mathematics in almost every aspect of life, it means that all individuals regardless of sex, in any age range, and in whatever context need to be provided with an opportunity to become mathematically able. The publication of this Springer volume on equity in mathematics education is situated at a time when there is strong and sustained research evidence indicating the persistence of an equity gap in mathematics, which has now enabled the mathematics education community to engage in a discourse of access for all. The research studies that are reported and discussed in the volume have been drawn from an international group of distinguished scholars whose impressive, forward-looking, and thought-provoking perspectives on relevant issues incite, broaden, and expand complicated conversations on how we might effectively achieve equity in mathematics education at the local, institutional, and systemic levels. Further, the up-to-date research knowledge in the field that is reflected in this volume provides conceptual and practical outlines for mechanisms of change, including models, examples, and usable theories that can inform the development of powerful equitable practices and the mobilization of meaningful equity interventions in different contexts of mathematics education.​