Virtual Mathematics
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Studying Virtual Math Teams
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Author : Gerry Stahl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-03
Studying Virtual Math Teams written by Gerry Stahl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-03 with Education categories.
Studying Virtual Math Teams centers on detailed empirical studies of how students in small online groups make sense of math issues and how they solve problems by making meaning together. These studies are woven together with materials that describe the online environment and pedagogical orientation, as well as reflections on the theoretical implications of the findings in the studies. The nature of group cognition and shared meaning making in collaborative learning is a foundational research issue in CSCL. More generally, the theme of sense making is a central topic in information science. While many authors allude to these topics, few have provided this kind of detailed analysis of the mechanisms of intersubjective meaning making. This book presents a coherent research agenda that has been pursued by the author and his research group. The book opens with descriptions of the project and its methodology, as well as situating this research in the past and present context of the CSCL research field. The core research team then presents five concrete analyses of group interactions in different phases of the Virtual Math Teams research project. These chapters are followed by several studies by international collaborators, discussing the group discourse, the software affordances and alternative representations of the interaction, all using data from the VMT project. The concluding chapters address implications for the theory of group cognition and for the methodology of the learning sciences. In addition to substantial introductory and concluding chapters, this important new book includes analyses based upon the author's previous research, thereby providing smooth continuity and an engaging flow that follows the progression of the research. The VMT project has dual goals: (a) to provide a source of experience and data for practical and theoretical explorations of group knowledge building and (b) to develop an effective online environment and educational service for collaborative learning of mathematics. Studying Virtual Math Teams reflects these twin orientations, reviewing the intertwined aims and development of a rigorous science of small-group cognition and a Web 2.0 educational math service. It documents the kinds of interactional methods that small groups use to explore math issues and provides a glimpse into the potential of online interaction to promote productive math discourse.
International Perspectives On Teaching And Learning Mathematics With Virtual Manipulatives
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Author : Patricia S. Moyer-Packenham
language : en
Publisher: Springer
Release Date : 2016-06-21
International Perspectives On Teaching And Learning Mathematics With Virtual Manipulatives written by Patricia S. Moyer-Packenham and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Education categories.
This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.
Virtual Mathematics
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Author : Simon Duffy
language : en
Publisher:
Release Date : 2006
Virtual Mathematics written by Simon Duffy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Mastering Math Manipulatives Grades 4 8
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Author : Sara Delano Moore
language : en
Publisher: Corwin Press
Release Date : 2021-10-21
Mastering Math Manipulatives Grades 4 8 written by Sara Delano Moore and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-21 with Education categories.
Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It′s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!
Studying Virtual Math Teams Pre Publication Version
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Author : Gerry Stahl
language : en
Publisher:
Release Date : 2016-01-28
Studying Virtual Math Teams Pre Publication Version written by Gerry Stahl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with categories.
This book presents a coherent research agenda that has been pursued by the author and his research group. The book opens with descriptions of the project and its methodology, as well as situating this research in the past and present context of the CSCL research field. The core research team then presents five concrete analyses of group interactions in different phases of the Virtual Math Teams research project. These chapters are followed by several studies by international collaborators, discussing the group discourse, the software affordances and alternative representations of the interaction, all using data from the VMT project. The concluding chapters address implications for the theory of group cognition and for the methodology of the learning sciences.
Mastering Math Manipulatives Grades K 3
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Author : Sara Delano Moore
language : en
Publisher: Corwin Press
Release Date : 2021-10-26
Mastering Math Manipulatives Grades K 3 written by Sara Delano Moore and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-26 with Education categories.
Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It′s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!
The Definitive Guide To How Computers Do Math
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Author : Clive Maxfield
language : en
Publisher: John Wiley & Sons
Release Date : 2005-10-27
The Definitive Guide To How Computers Do Math written by Clive Maxfield 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 2005-10-27 with Computers categories.
The Basics of Computer Arithmetic Made Enjoyable andAccessible-with a Special Program Included for Hands-onLearning "The combination of this book and its associated virtual computeris fantastic! Experience over the last fifty years has shown methat there's only one way to truly understand how computers work;and that is to learn one computer and its instruction set-no matterhow simple or primitive-from the ground up. Once you fullycomprehend how that simple computer functions, you can easilyextrapolate to more complex machines." -Fred Hudson, retired engineer/scientist "This book-along with the virtual DIY Calculator-is an incrediblyuseful teaching and learning tool. The interesting trivia nuggetskeep you turning the pages to see what's next. Students will haveso much fun reading the text and performing the labs that theywon't even realize they are learning." -Michael Haghighi, Chairperson of the Business and ComputerInformation Systems Division, Calhoun Community College,Alabama "At last, a book that presents an innovative approach to theteaching of computer architecture. Written with authority andverve, witty, superbly illustrated, and enhanced with manylaboratory exercises, this book is a must for students and teachersalike." -Dr. Albert Koelmans, Lecturer in Computer Engineering, Universityof Newcastle upon Tyne, UK, and the 2003 recipient of theEASIT-Eng. Gold Award for Innovative Teaching in ComputerEngineering Packed with nuggets of information and tidbits of trivia, HowComputers Do Math provides an incredibly fun and interestingintroduction to the way in which computers perform their magic ingeneral and math in particular. The accompanying CD-ROM contains avirtual computer/calculator called the DIY Calculator, and thebook's step-by-step interactive laboratories guide you in thecreation of a simple program to run on your DIY Calculator. How Computers Do Math can be enjoyed by non-technical individuals;students of computer science, electronics engineering, andmathematics; and even practicing engineers. All of theillustrations and interactive laboratories featured in the book areprovided on the CD-ROM for use by high school, college, anduniversity educators as lecture notes and handouts. For online resources and more information please visit theauthor's website at ahref="http://www.diycalculator.com/"www.DIYCalculator.com/a.
Enchantment Of The Virtual
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Author : Gilles Chatelet
language : en
Publisher: MIT Press
Release Date : 2023-04-25
Enchantment Of The Virtual written by Gilles Chatelet and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-25 with Philosophy categories.
Collected essays, interviews, and reviews by the late French philosopher and mathematician. This rich collection brings together a set of newly translated essays, dialogues, and reviews by Gilles Châtelet (1944–1999). Châtelet was not only a philosopher, political theorist, theorist of individuation and of the magnification of human freedoms, but also a talented mathematician and an original theorist of the virtual, the diagram, and the gesture. With their characteristic ebullience and speculative agility in transporting concepts between different fields, Châtelet's polymath interrogations were an acknowledged inspiration to his fellow philosophers, including Gilles Deleuze and Alain Badiou. In the essays collected in this volume, Châtelet explores the articulation between mathematics and physical reality, algebra and geometry, romanticism and science, finite beings and the infinite manifestations of nature, and gesture and abstraction. The book also offers interviews with Châtelet and review articles in which he reckons with contemporaries including Badiou, Deleuze, Roger Penrose, and René Thom. The extensive introduction by Châtelet's former colleague Charles Alunni outlines the life and career of this “last romantic philosopher” and the continuing importance of his work for our understanding of the relationships between the mathematical and the physical, the abstract and the concrete, and scientific thinking and the politics of liberation.
Visual Mathematics And Cyberlearning
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Author : Dragana Martinovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-24
Visual Mathematics And Cyberlearning written by Dragana Martinovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-24 with Education categories.
This first book in the series will describe the Net Generation as visual learners who thrive when surrounded with new technologies and whose needs can be met with the technological innovations. These new learners seek novel ways of studying, such as collaborating with peers, multitasking, as well as use of multimedia, the Internet, and other Information and Communication Technologies. Here we present mathematics as a contemporary subject that is engaging, exciting and enlightening in new ways. For example, in the distributed environment of cyber space, mathematics learners play games, watch presentations on YouTube, create Java applets of mathematics simulations and exchange thoughts over the Instant Messaging tool. How should mathematics education resonate with these learners and technological novelties that excite them?
An Invitation To Knot Theory
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Author : Heather A. Dye
language : en
Publisher: CRC Press
Release Date : 2018-09-03
An Invitation To Knot Theory written by Heather A. Dye and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.
The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.