Spatial Reasoning in the Early Years

Author: Brent Davis
Publisher: Routledge
ISBN: 1317648110
Format: PDF, ePub, Mobi
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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.

Contemporary Research and Perspectives on Early Childhood Mathematics Education

Author: Iliada Elia
Publisher: Springer
ISBN: 3319734326
Format: PDF
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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?

Teaching Mathematics

Author: Brent Davis
Publisher: Routledge
ISBN: 1136520910
Format: PDF, ePub, Docs
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This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.

Early Childhood Mathematics Education Research

Author: Julie Sarama
Publisher: Routledge
ISBN: 1135592497
Format: PDF, ePub, Docs
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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.

How People Learn

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131979
Format: PDF, Docs
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First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methods--to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Engaging Minds

Author: Brent Davis
Publisher: Routledge
ISBN: 1317444299
Format: PDF, ePub
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Engaging Minds: Cultures of Education and Practices of Teaching explores the diverse beliefs and practices that define the current landscape of formal education. The 3rd edition of this introduction to interdisciplinary studies of teaching and learning to teach is restructured around four prominent historical moments in formal education: Standardized Education, Authentic Education, Democratic Citizenship Education, Systemic Sustainability Education. These moments serve as the foci of the four sections of the book, each with three chapters dealing respectively with history, epistemology, and pedagogy within the moment. This structure makes it possible to read the book in two ways – either "horizontally" through the four in-depth treatments of the moments or "vertically" through coherent threads of history, epistemology, and pedagogy. Pedagogical features include suggestions for delving deeper to get at subtleties that can’t be simply stated or appreciated through reading alone, several strategies to highlight and distinguish important vocabulary in the text, and more than 150 key theorists and researchers included among the search terms and in the Influences section rather than a formal reference list.

Plugged In

Author: Patti M. Valkenburg
Publisher: Yale University Press
ISBN: 0300228090
Format: PDF, Docs
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An illuminating study of the complex relationship between children and media in the digital age Now, as never before, young people are surrounded by media—thanks to the sophistication and portability of the technology that puts it literally in the palms of their hands. Drawing on data and empirical research that cross many fields and continents, authors Valkenburg and Piotrowski examine the role of media in the lives of children from birth through adolescence, addressing the complex issues of how media affect the young and what adults can do to encourage responsible use in an age of selfies, Twitter, Facebook, and Instagram. This important study looks at both the sunny and the dark side of media use by today’s youth, including why and how their preferences change throughout childhood, whether digital gaming is harmful or helpful, the effects of placing tablets and smartphones in the hands of toddlers, the susceptibility of young people to online advertising, the legitimacy of parental concerns about media multitasking, and more.

Taking Shape

Author: Joan Moss
Publisher:
ISBN: 9780134153490
Format: PDF, Docs
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Enrich Your Geometry Curriculum and Extend Your Students' Spatial Reasoning Research shows that children with good spatial skills perform better in mathematics overall. This research-based resource is a unique blend of professional learning and classroom activities. It includes: 32 field-tested and research-based activities designed to appeal to young children Guided lesson plans, including 15 videos, that serve as models for best practice in instruction Tips on observing, questioning, and assessing young children's geometric and spatial thinking Free access to website with videos, curriculum correlations, line masters, and observation guides

Eichmann in Jerusalem

Author: Hannah Arendt
Publisher: Penguin
ISBN: 9781101007167
Format: PDF, ePub, Mobi
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The controversial journalistic analysis of the mentality that fostered the Holocaust, from the author of The Origins of Totalitarianism Sparking a flurry of heated debate, Hannah Arendt’s authoritative and stunning report on the trial of German Nazi leader Adolf Eichmann first appeared as a series of articles in The New Yorker in 1963. This revised edition includes material that came to light after the trial, as well as Arendt’s postscript directly addressing the controversy that arose over her account. A major journalistic triumph by an intellectual of singular influence, Eichmann in Jerusalem is as shocking as it is informative—an unflinching look at one of the most unsettling (and unsettled) issues of the twentieth century.

The Interpretation of Cultures

Author: Clifford Geertz
Publisher: Basic Books
ISBN: 0465093566
Format: PDF, Mobi
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In The Interpretation of Cultures, the most original anthropologist of his generation moved far beyond the traditional confines of his discipline to develop an important new concept of culture. This groundbreaking book, winner of the 1974 Sorokin Award of the American Sociological Association, helped define for an entire generation of anthropologists what their field is ultimately about.