Designing Learning Environments For Developing Understanding Of Geometry And Space
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Designing Learning Environments For Developing Understanding Of Geometry And Space
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Author : Richard Lehrer
language : en
Publisher: Routledge
Release Date : 2012-11-12
Designing Learning Environments For Developing Understanding Of Geometry And Space written by Richard Lehrer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.
This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
Engaging Young Children In Mathematics
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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2004
Engaging Young Children In Mathematics written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.
Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.
Designing For Science
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Author : Kevin Crowley
language : en
Publisher: Psychology Press
Release Date : 2001-03-01
Designing For Science written by Kevin Crowley and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-01 with Psychology categories.
This volume explores the integration of recent research on everyday, classroom, and professional scientific thinking. It brings together an international group of researchers to present core findings from each context; discuss connections between contexts, and explore structures; technologies, and environments to facilitate the development and practice of scientific thinking. The chapters focus on: * situations from young children visiting museums, * middle-school students collaborating in classrooms, * undergraduates learning about research methods, and * professional scientists engaged in cutting-edge research. A diverse set of approaches are represented, including sociocultural description of situated cognition, cognitive enthnography, educational design experiments, laboratory studies, and artificial intelligence. This unique mix of work from the three contexts deepens our understanding of each subfield while at the same time broadening our understanding of how each subfield articulates with broader issues of scientific thinking. To provide a common focus for exploring connections between everyday, instructional, and professional scientific thinking, the book uses a "practical implications" subtheme. In particular, each chapter has direct implications for the design of learning environments to facilitate scientific thinking.
Learning And Teaching Early Math
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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2014-05-23
Learning And Teaching Early Math written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Education categories.
In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second 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 quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.
Handbook Of Psychology Educational Psychology
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Author : William M. Reynolds
language : en
Publisher: John Wiley & Sons
Release Date : 2003-06-02
Handbook Of Psychology Educational Psychology written by William M. Reynolds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-02 with Psychology categories.
Includes established theories and cutting-edge developments. Presents the work of an international group of experts. Presents the nature, origin, implications, an future course of major unresolved issues in the area.
Algebra In The Early Grades
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Author : James J. Kaput
language : en
Publisher: Routledge
Release Date : 2017-09-25
Algebra In The Early Grades written by James J. Kaput and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Education categories.
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Measuring And Visualizing Space In Elementary Mathematics Learning
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Author : Richard Lehrer
language : en
Publisher: Taylor & Francis
Release Date : 2023-03-31
Measuring And Visualizing Space In Elementary Mathematics Learning written by Richard Lehrer and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Education categories.
Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for supporting a deeper understanding of number operations and rational numbers. The concept of measurement is centrally implicated in a number of mathematical operations, yet is not often given the placement it deserves in the elementary mathematics curriculum. By drawing on K-5 classroom research, authors Lehrer and Schauble have been able to articulate a learning progression that describes benchmarks of student learning about measure in length, angle, area, volume, and rational number, exploring related concepts, classroom experiences, and instructional practices at each stage. Offering a unique, research driven resource for helping students develop a deep understanding of measurement to further enhance mathematical understanding, as well as further learning in other STEM disciplines; the book will be relevant for scholars, teacher educators, and specialists in math education. The book is accompanied by online resources developed for practitioners, including instructional guides, examples of student thinking, and other teacher-focused materials, helping clarify how to bring concepts of measure and rational number to life in classrooms.
Handbook Of Psychology Educational Psychology
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Author : Irving B. Weiner
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-05
Handbook Of Psychology Educational Psychology written by Irving B. Weiner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-05 with Psychology categories.
Psychology is of interest to academics from many fields, as well as to the thousands of academic and clinical psychologists and general public who can't help but be interested in learning more about why humans think and behave as they do. This award-winning twelve-volume reference covers every aspect of the ever-fascinating discipline of psychology and represents the most current knowledge in the field. This ten-year revision now covers discoveries based in neuroscience, clinical psychology's new interest in evidence-based practice and mindfulness, and new findings in social, developmental, and forensic psychology.
The Learning Sciences In Conversation
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Author : Marie-Claire Shanahan
language : en
Publisher: Taylor & Francis
Release Date : 2022-07-29
The Learning Sciences In Conversation written by Marie-Claire Shanahan and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-29 with Education categories.
The Learning Sciences in Conversation explores the unique pluralities, complex networks, and distinct approaches of the learning scientists of today. Focused on four key scholarly areas – transdisciplinarity, design, cognition, and technology – this cutting-edge volume draws on empirical and theoretical foundations to illustrate the directions, perspectives, methods, and questions that continue to define this evolving field. Contributions by researchers are put in dialogue with one another, offering an exemplary analysis of a field that synthesizes, in situ, various scholarly traditions and orientations to create a critical and heterogenous understanding of learning.
Volume 1 Research Syntheses
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Author : M. Kathleen Heid
language : en
Publisher: IAP
Release Date : 2008-07-01
Volume 1 Research Syntheses written by M. Kathleen Heid and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-01 with Mathematics categories.
According to NCTM’s Principles and Standards for School mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students’ learning.” How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.