Visual Mathematics And Cyberlearning
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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?
Visual Mathematics Lessons 11 20
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Author : Linda Cooper Foreman
language : en
Publisher:
Release Date : 1996
Visual Mathematics Lessons 11 20 written by Linda Cooper Foreman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Visual Mathematics Lessons 16 30
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Author : Linda Cooper Foreman
language : en
Publisher:
Release Date : 1995
Visual Mathematics Lessons 16 30 written by Linda Cooper Foreman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Intermediate Visual Mathematics
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Author : Kiran Desai
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2013-05-24
Intermediate Visual Mathematics written by Kiran Desai and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Mathematics categories.
One cannot be an expert in Autonomous Vehicle Navigation Systems without a proper understanding of the preliminary visual concepts being covered in this book. It is a COMPENDIUM of the intermediate level books in the Visual Mathematics Series. They cover topics of - Elementary (introductory solved visual problems) - Pre-algebra - Geometry - AlgebraThis book intends to test the mathematical concepts taught in intermediate school with an emphasis on the visual skills. The problems are based on middle school curriculum but they are meant to be challenging, and meant for visual learners and high achievers. The use of diagrams and color coding scheme allows enhancing the description of the problems presented in this book and to lead the problem solver towards the solution.The problems presented in this book are in FULL COLOR and they create a visual dimension to the underlying mathematical concepts. It intends to appeal to both sides of the brain - the left and the right. It requires understanding the problem presented in a visual manner, but requires solving the problems using a combination of visual insight and mathematical discipline.This book provides a wide variety of problems, albeit a very limited number of each type. The main goal is to maintain the student's interest. The first eighteen pages include solved examples of visual math problems and should provide the necessary background. Many of the problems in the Pre-Algebra section will remind you of logic based grid puzzles, but the problems in this book have a variety of graph as well as grid representations. The problems in the Geometry section require thinking in relative terms and many of the problems have a certain artistic flavor. The algebra section is also about geometry problems that require algebraic problem solving.
Math And Art
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Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2021-09-26
Math And Art written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-26 with Mathematics categories.
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and approximately 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganized and expanded chapters More use of color throughout
Visual Mathematics Series Elementary Math Problems
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Author : Kiran R. Desai, Ph.d.
language : en
Publisher: Createspace Independent Pub
Release Date : 2011-06-22
Visual Mathematics Series Elementary Math Problems written by Kiran R. Desai, Ph.d. and has been published by Createspace Independent Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-22 with Mathematics categories.
Solving the problems in this book will help demonstrate mastery of the mathematical concepts taught in elementary school. They are represented in a visually engaging manner in order to make mathematics more fun and interesting. More emphasis is paid to problem solving abilities rather than the usual mathematics grind. A visual approach should help bring a learner one step closer to developing the ability to solve real world problems.Problems presented in this book include:• Finding the sum of consecutive numbers: sequential, odd, even, or constant distance• Visual representation of single variable algebra• Visual depictions for mathematical laws of associativity/commutativity/distributivity• Visual partitioning of numbers based on factorization• Mathematical constraint based addition/subtraction/multiplication• Identification of regular patterns to simplify multiplication of fractions in a long series• Computing statistical median and mean under visual representation of data• Determining area of interesting shapes based on visual information• Graphical charts: pie, bar, stacked, sorted, and doughnut• Mathematical puzzles based on various mathematical constraints• Multiply and add/subtract calculations for consecutive numbers (A.x + B.y)• Determining volume of solid objects depicted using two dimensional views• Determining probability of an event tied to object shape/color/geometric properties• Enumerating number of distinct ways for partitioning addition terms
Toward A Visually Oriented School Mathematics Curriculum
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Author : Ferdinand Rivera
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-06
Toward A Visually Oriented School Mathematics Curriculum written by Ferdinand Rivera 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 2011-01-06 with Education categories.
What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."
Teaching Mathematics Visually And Actively
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Author : Tandi Clausen-May
language : en
Publisher: SAGE
Release Date : 2013-10-14
Teaching Mathematics Visually And Actively written by Tandi Clausen-May and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-14 with Education categories.
This practical book provides teachers in primary and secondary schools with advice and resources to develop a visual and active approach to teaching mathematics. It includes, specific examples of teaching strategies and ideas for lesson activities to support teaching mathematics to learners who take information and ideas visually and actively. Accompanying this second edition is a companion website that includes a range of resources for teaching each topic including: - Dynamic PowerPoint animations which can be used to help learners to develop their understanding of key mathematical concepts - Posters of each concept And in addition to all this, each chapter suggests even further links to other useful resources for every topic to enhance your teaching. With clear explanations and strong visual layout, this is an ideal resource for teachers, SENCOs (Special Educational Needs Co-ordinators) and teaching assistants who want to motivate their learners with different and exciting ways of teaching and learning maths.
Creativity And Technology In Mathematics Education
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Author : Viktor Freiman
language : en
Publisher: Springer
Release Date : 2018-09-03
Creativity And Technology In Mathematics Education written by Viktor Freiman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Education categories.
This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.
Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer Nature
Release Date : 2023-01-24
Foundation Mathematics For Computer Science written by John Vince and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-24 with Computers categories.
In this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers. John Vince describes a range of mathematical topics that provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with calculating area and volume using calculus. Readers will find that the author’s visual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This third edition includes new, full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will help consolidate the understanding of abstract mathematical concepts. Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.