Building The Foundation Whole Numbers In The Primary Grades

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Building the Foundation: Whole Numbers in the Primary Grades

Author : Maria G. Bartolini Bussi
Publisher : Springer
ISBN 13 : 3319635557
Total Pages : 536 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Building the Foundation: Whole Numbers in the Primary Grades by : Maria G. Bartolini Bussi

Download or read book Building the Foundation: Whole Numbers in the Primary Grades written by Maria G. Bartolini Bussi and published by Springer. This book was released on 2018-03-29 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Building the Foundation

Author : Maria G. Bartolini Bussi
Publisher :
ISBN 13 : 9783319635569
Total Pages : 536 pages
Book Rating : 4.6/5 (355 download)

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Book Synopsis Building the Foundation by : Maria G. Bartolini Bussi

Download or read book Building the Foundation written by Maria G. Bartolini Bussi and published by . This book was released on 2018 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Learning and Teaching of Number

Author : Rina Zazkis
Publisher : Taylor & Francis
ISBN 13 : 0429757964
Total Pages : 229 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis The Learning and Teaching of Number by : Rina Zazkis

Download or read book The Learning and Teaching of Number written by Rina Zazkis and published by Taylor & Francis. This book was released on 2021-05-23 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.

Mathematics Curriculum Reforms Around the World

Author : Yoshinori Shimizu
Publisher : Springer Nature
ISBN 13 : 3031135482
Total Pages : 569 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics Curriculum Reforms Around the World by : Yoshinori Shimizu

Download or read book Mathematics Curriculum Reforms Around the World written by Yoshinori Shimizu and published by Springer Nature. This book was released on 2023-06-28 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Open Access volume by the International Commission on Mathematical Instruction (ICMI) is an outcome of the ICMI Study 24 and gives a status-quo of school mathematics reform around the world and what we can learn from this movement. Each theme and section of the book offers descriptions and analyses of multiple case studies in different countries and contexts, along with opportunities to compare, contrast and learn from these diverse experiences. The volume provides a synthesis and meta-analysis of the different historical, geographical and global aspects of school mathematics reforms and explores in which way curricula are elaborated, proposed, changed, and reorganized. It offers a more informed and comprehensive analysis of the roles of different actors and of the many aspects influencing and shaping mathematics curriculum reforms that are taking or have taken place. It also explores the possibilities and means to tackle a curricular reform in the current scenario we live in and how to unfold future developments. This book will be of interest to practitioners and scholars with an interest in school mathematics curriculum reforms. It will also be a useful resource to those involved in school mathematics curriculum reform initiatives by providing current information about the curriculum changes that are taking place in respect of content, teacher education, educational materials, and a range of implementation challenges across diverse contexts.

Mathematics Education in the Early Years

Author : Martin Carlsen
Publisher : Springer Nature
ISBN 13 : 3030347761
Total Pages : 453 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematics Education in the Early Years by : Martin Carlsen

Download or read book Mathematics Education in the Early Years written by Martin Carlsen and published by Springer Nature. This book was released on 2020-03-13 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.

Designing, Conducting, and Publishing Quality Research in Mathematics Education

Author : Keith R. Leatham
Publisher : Springer Nature
ISBN 13 : 303023505X
Total Pages : 270 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Designing, Conducting, and Publishing Quality Research in Mathematics Education by : Keith R. Leatham

Download or read book Designing, Conducting, and Publishing Quality Research in Mathematics Education written by Keith R. Leatham and published by Springer Nature. This book was released on 2019-09-12 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to collect, organize and disseminate collective wisdom with respect to designing, conducting, and publishing quality research in mathematics education. This wisdom will be gleaned from among those who, over the past several decades, have been instrumental in guiding the field in the pursuit of excellence in mathematics education research—insightful editors, educative reviewers, prolific writers, and caring mentors. Each chapter is written to the novice researcher with the intent of aiding them in avoiding common pitfalls, navigating difficult intellectual terrain, and understanding that they are not alone in experiencing rejection, frustration, confusion, and doubt. This book differs from existing literature in the sense that it is written about the enterprise of designing, conducting and publishing research in mathematics education as opposed to being reports of the results of such work. It also differs in the sense that it is written with the intent to mentor the rising generation as opposed to capture the state of the field (as would happen in a handbook, for example). It is written for the express purpose of helping the field work collectively to aid in the often isolated enterprise of mentoring new researchers. The primary audience is a potentially wide one: graduate students, novice researchers, graduate faculty, advisors, and mentors – or anyone seeking to improve their own abilities to design, conduct, and publish quality research in mathematics education.

Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1000288544
Total Pages : 549 pages
Book Rating : 4.0/5 (2 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 2020-12-29 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

European Traditions in Didactics of Mathematics

Author : Werner Blum
Publisher : Springer
ISBN 13 : 3030055140
Total Pages : 212 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis European Traditions in Didactics of Mathematics by : Werner Blum

Download or read book European Traditions in Didactics of Mathematics written by Werner Blum and published by Springer. This book was released on 2019-02-18 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Understanding Dyscalculia

Author : Daniela Lucangeli
Publisher : Routledge
ISBN 13 : 042975244X
Total Pages : 158 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Understanding Dyscalculia by : Daniela Lucangeli

Download or read book Understanding Dyscalculia written by Daniela Lucangeli and published by Routledge. This book was released on 2020-12-21 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book provides evidence-based guidelines on dyscalculia, offering a thorough explanation of the science behind the disorder. It combines this theoretical framework with practical recommendations, offering interventions for managing the condition at home and school and avoiding potential behavioural consequences. Written in a straightforward style, this book provides a concise summary of relevant research to empower the reader to take an informed and positive approach to dyscalculia and those who live with it. The internationally based team of contributors examine the different models that explain the construct of dyscalculia, looking at definitions and theories alongside signs, symptoms and diagnosis. Chapters also explore how to communicate diagnosis to peers, possible cultural differences and sensitivities when related to mathematics education and dyscalculia and the importance of maintaining a proactive attitude when working with children with dyscalculia. Understanding Dyscalculia is essential reading for parents and practitioners in clinical and educational psychology, education professionals and students and researchers of special educational needs, educational psychology and counselling psychology.

Mathematics and Its Connections to the Arts and Sciences (MACAS)

Author : Claus Michelsen
Publisher : Springer Nature
ISBN 13 : 3031105184
Total Pages : 560 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics and Its Connections to the Arts and Sciences (MACAS) by : Claus Michelsen

Download or read book Mathematics and Its Connections to the Arts and Sciences (MACAS) written by Claus Michelsen and published by Springer Nature. This book was released on 2022-12-19 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.

Ebook: Special Educational Needs, Inclusion and Diversity, 4e

Author : DUNSMUIR
Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335251358
Total Pages : 732 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis Ebook: Special Educational Needs, Inclusion and Diversity, 4e by : DUNSMUIR

Download or read book Ebook: Special Educational Needs, Inclusion and Diversity, 4e written by DUNSMUIR and published by McGraw-Hill Education (UK). This book was released on 2024-03-19 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on special educational needs which offers a balance between theory, research and practice as well as a unique analysis of the implications of the effects of linguistic, cultural and ethnic diversity on special educational needs. The fourth edition of this textbook will be revised and updated in order to respond to changes in the field, including developments in national policy and in ways of thinking about special educational needs and inclusion. It will take account of research and publications that have appeared since 2014, in particular in the international literature. There will be more on the theoretical aspects of inclusive practice and some of the case studies and learning activities will be updated to make them as relevant as possible, reflecting contemporary examples of best practice in the field. In addition to the central cross-cutting theme (equality, diversity and inclusion), other themes incorporated across chapters will include professional ethics, parental support for learning, person-centred practices and the effects of poverty.

Indigenous STEM Education

Author : Pauline W. U. Chinn
Publisher : Springer Nature
ISBN 13 : 3031304519
Total Pages : 303 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Indigenous STEM Education by : Pauline W. U. Chinn

Download or read book Indigenous STEM Education written by Pauline W. U. Chinn and published by Springer Nature. This book was released on 2023-08-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores ways in which systems of local knowledge, culture, language, and place are foundational for STEM learning in Indigenous communities. It is part of a two-volume set that addresses a growing recognition that interdisciplinary, cross-cultural and cross-hybrid learning is needed to foster scientific and cultural understandings and move STEM learning toward more just and sustainable futures for all learners. Themes of learning from elders, through practice and place-based experiences are found across cultures. Each chapter brings a uniquely Indigenous point of view to the educational transformation efforts taking place in these distinct contexts. In the second section the chapters use authentic research stories to explain many ways in which regular disciplinary policies and practices can impact Indigenous students’ participation in STEM classrooms and careers. These authors go on to discuss ways to engage learners in STEM activities that are interconnected with the contexts of their lives.

Knowing and Teaching Elementary Mathematics

Author : Liping Ma
Publisher : Routledge
ISBN 13 : 1000023087
Total Pages : 220 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2020-01-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.

Piaget’s Genetic Epistemology for Mathematics Education Research

Author : Paul Christian Dawkins
Publisher : Springer Nature
ISBN 13 : 3031473868
Total Pages : 620 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Piaget’s Genetic Epistemology for Mathematics Education Research by : Paul Christian Dawkins

Download or read book Piaget’s Genetic Epistemology for Mathematics Education Research written by Paul Christian Dawkins and published by Springer Nature. This book was released on 2024-01-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.

Improving Primary Mathematics Education, Teaching and Learning

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

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

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

Algebra Structure Sense Development amongst Diverse Learners

Author : Teresa Rojano
Publisher : Taylor & Francis
ISBN 13 : 1000591530
Total Pages : 210 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Algebra Structure Sense Development amongst Diverse Learners by : Teresa Rojano

Download or read book Algebra Structure Sense Development amongst Diverse Learners written by Teresa Rojano and published by Taylor & Francis. This book was released on 2022-06-07 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels. Positing algebra structure sense as fundamental to developing students’ broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity. Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.

Contemporary Research and Perspectives on Early Childhood Mathematics Education

Author : Iliada Elia
Publisher : Springer
ISBN 13 : 3319734326
Total Pages : 326 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Contemporary Research and Perspectives on Early Childhood Mathematics Education by : Iliada Elia

Download or read book Contemporary Research and Perspectives on Early Childhood Mathematics Education written by Iliada Elia and published by Springer. This book was released on 2018-02-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?