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Reconceptualizing Early Mathematics Learning

Reconceptualizing Early Mathematics Learning Author Lyn D. English
ISBN-10 9789400764408
Release 2013-05-09
Pages 329
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This book emanated primarily from concerns that the mathematical capabilities of young children continue to receive inadequate attention in both the research and instructional arenas. Research over many years has revealed that young children have sophisticated mathematical minds and a natural eagerness to engage in a range of mathematical activities. As the chapters in this book attest, current research is showing that young children are developing complex mathematical knowledge and abstract reasoning a good deal earlier than previously thought. A range of studies in prior to school and early school settings indicate that young learners do possess cognitive capacities which, with appropriately designed and implemented learning experiences, can enable forms of reasoning not typically seen in the early years. Although there is a large and coherent body of research on individual content domains such as counting and arithmetic, there have been remarkably few studies that have attempted to describe characteristics of structural development in young students’ mathematics. Collectively, the chapters highlight the importance of providing more exciting, relevant, and challenging 21st century mathematics learning for our young students. The chapters provide a broad scope in their topics and approaches to advancing young children’s mathematical learning. They incorporate studies that highlight the importance of pattern and structure across the curriculum, studies that target particular content such as statistics, early algebra, and beginning number, and studies that consider how technology and other tools can facilitate early mathematical development. Reconceptualising the professional learning of teachers in promoting young children’s mathematics, including a consideration of the role of play, is also addressed.



Digital Games and Mathematics Learning

Digital Games and Mathematics Learning Author Tom Lowrie
ISBN-10 9789401795173
Release 2015-10-05
Pages 309
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Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field. Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a te xtual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space.



Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education Author Lyn D. English
ISBN-10 9781134626649
Release 2015-07-30
Pages 726
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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.



Engaging Families as Children s First Mathematics Educators

Engaging Families as Children s First Mathematics Educators Author Sivanes Phillipson
ISBN-10 9789811025532
Release 2016-11-29
Pages 261
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This book explores how professionals can engage and inspire parents to support their young children’s mathematics learning. Bringing together international experts, researchers and scholars, it proposes a framework for engaging with and supporting parents, including those who are less aware of the crucial development of children’s mathematical skills in the early years. Focusing on mathematics learning from birth to 5 years, the book’s underlying assumption is that it is possible to offer guidance to professionals working with families with young children concerning how to engage and support families in the area of mathematics learning, including those families who seem alienated from education services. Specifically, the respective chapters present a framework for understanding children’s early mathematical development and the important role of families in this regard. They describe effective strategies for engaging families in their children’s mathematics learning, including those who are marginalised and experience multiple disadvantages, so that all families can best support their children’s mathematical learning and their development of positive attitudes towards learning. In closing, hurdles and opportunities within the systems surrounding family engagement are addressed.



Theories of Mathematics Education

Theories of Mathematics Education Author Bharath Sriraman
ISBN-10 9783642007422
Release 2009-10-13
Pages 668
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Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.



Journal for Research in Mathematics Education

Journal for Research in Mathematics Education Author
ISBN-10 UCSD:31822041794199
Release 2014
Pages
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Journal for Research in Mathematics Education has been writing in one form or another for most of life. You can find so many inspiration from Journal for Research in Mathematics Education also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Journal for Research in Mathematics Education book for free.



Loose leaf Version for Reconceptualizing Mathematics

Loose leaf Version for Reconceptualizing Mathematics Author Judith Sowder
ISBN-10 9781319108250
Release 2016-11-18
Pages 896
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Reconceptualizing Mathematics, founded on research and studies of learning and mathematics teaching for many years, is designed for use in classrooms in which students take an active part in learning and experience doing math. The esteemed author team has written the only textbook of its kind to both incorporate aspects of student-centered learning into lessons and model the teaching that will be expected of their students. To this end, the authors provide worthwhile tasks, activities, and support for facilitating discussions. Quantitative reasoning and problem solving are recurring themes in Reconceptualizing Mathematics. The authors approach problem solving that teaches students to understand the quantities embedded in the situation and how they relate to each other.



Handbook of Research on Mathematics Teaching and Learning

Handbook of Research on Mathematics Teaching and Learning Author Douglas Grouws
ISBN-10 9781607528746
Release 2006-11-01
Pages 785
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Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of wellestablished conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twentynine chapters are complete resources for both current and past work in that particular area.



Towards Equity in Mathematics Education

Towards Equity in Mathematics Education Author Helen Forgasz
ISBN-10 9783642277023
Release 2012-03-19
Pages 598
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​​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.​



Journeys

Journeys Author Veronica Pacini-Ketchabaw
ISBN-10 9781442609426
Release 2015
Pages 256
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Inspired by the idea of documentation as a valuable tool for making learning visible, pedagogical narration offers an opportunity to move beyond checklists and quick answers to a more complex understanding of how children learn, and how teachers might facilitate and support that learning in innovative ways. The authors use stories they collected during a collaborative study to offer a range of possibilities for alternative childhood pedagogies. Cutting edge, yet practical; detailed in its analysis, yet inspiring, this book is a boon to the field of early childhood and primary education studies.



A Journey in Mathematics Education Research

A Journey in Mathematics Education Research Author Erna Yackel
ISBN-10 9048197295
Release 2010-11-30
Pages 248
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Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.



Adding It Up

Adding It Up Author National Research Council
ISBN-10 0309132843
Release 2001-11-13
Pages 480
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Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.



Mathematics Education and Language

Mathematics Education and Language Author Tony Brown
ISBN-10 9780306472138
Release 2006-04-11
Pages 270
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`Contemporary thinking on philosophy and the social sciences has been dominated by analyses that emphasise the importance of language in understanding societies and individuals functioning within them; important developments which have been under-utilised by researchers in mathematics education. This book reaches out to contemporary work in these broader fields; drawing on original sources in key areas such as Gadamer and Ricoeur's development of hermeneutics, Habermas' work in critical social theory, Schutz's social phenomenology, Saussure's linguistics and the post-structuralist analysis of Derrida, Foucault and Barthes. Through examining the writings of these major thinkers it is shown how language is necessarily instrumental in developing mathematical understanding; but a language that is in a permanent state of becoming, resisting stable connections to the ideas it locates. The analysis offered extends from children doing mathematics to teachers inspecting and developing their own professional practices.'



Early Childhood and Compulsory Education

Early Childhood and Compulsory Education Author Peter Moss
ISBN-10 9780415687737
Release 2013
Pages 226
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What should be the relationship between early childhood and compulsory education? What can they learn from one another and by working together? The rapid expansion of early childhood education and care means that most children in affluent countries now have several years at pre-school before compulsory education. This raises an important question about the relationship between the two. Whilst it's widely assumed that the former should prepare children for the latter, there are alternatives. This book contests the 'readying for school' relationship as neither self-evident nor unproblematic; and explores some alternative relationships, including a strong and equal partnership and the vision of a meeting place. In this ground-breaking book, Professor Peter Moss discusses the issue with leading early childhood figures - from Belgium, France, Italy, New Zealand, Norway, Sweden and the United States -who bring very different perspectives to this contentious relationship. The book starts with an extended essay by Peter Moss, to which the other contributors are invited to respond critically, as well as offering their own thinking about the relationship between early childhood and compulsory education, both their current understandings and suggestions on future directions. Students, researchers and academics in the field of early childhood education will find this an insightful and timely text. But so too will their peers in compulsory education, since the book time and again raises searching questions about pedagogical purpose and practice in this sector.



Modeling Students Mathematical Modeling Competencies

Modeling Students  Mathematical Modeling Competencies Author Richard Lesh
ISBN-10 9789400762718
Release 2013-03-17
Pages 651
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Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.



Early Algebraization

Early Algebraization Author Jinfa Cai
ISBN-10 3642177352
Release 2011-02-24
Pages 624
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In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.



The Philosophy of Mathematics Education

The Philosophy of Mathematics Education Author Paul Ernest
ISBN-10 9783319405698
Release 2016-07-15
Pages 26
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This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.