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Author : Stanley M. Jencks
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.3/5 (91 download)
Download or read book Building Mental Imagery in Mathematics written by Stanley M. Jencks and published by . This book was released on 1968 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rosamund Sutherland
Publisher : Springer Science & Business Media
ISBN 13 : 3642577717
Total Pages : 337 pages
Book Rating : 4.6/5 (425 download)
Download or read book Exploiting Mental Imagery with Computers in Mathematics Education written by Rosamund Sutherland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
Author : George Lakoff
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)
Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.
Author : Claudi Alsina
Publisher : MAA
ISBN 13 : 9780883857465
Total Pages : 202 pages
Book Rating : 4.8/5 (574 download)
Download or read book Math Made Visual written by Claudi Alsina and published by MAA. This book was released on 2006-07-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
Author : Mary J. Cresci
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (135 download)
Download or read book Mental Imagery in Mathematics written by Mary J. Cresci and published by . This book was released on 1986 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H.-C. Hege
Publisher : Springer Science & Business Media
ISBN 13 : 3662035677
Total Pages : 398 pages
Book Rating : 4.6/5 (62 download)
Download or read book Mathematical Visualization written by H.-C. Hege and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.
Author : Sammons, Laney
Publisher : Shell Education
ISBN 13 : 1618137743
Total Pages : 443 pages
Book Rating : 4.6/5 (181 download)
Download or read book Building Mathematical Comprehension: Using Literacy Strategies to Make Meaning written by Sammons, Laney and published by Shell Education. This book was released on 2017-03-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Apply familiar reading comprehension strategies and relevant research to mathematics instruction to aid in building students' comprehension in mathematics. This resource demonstrates how to facilitate student learning to build schema and make connections among concepts. In addition, it provides clear strategies to help students ask good questions, visualize mathematics, and synthesize their understanding. This resource is aligned to College and Career Readiness Standards.
Author : Erica N. Walker
Publisher : Teachers College Press
ISBN 13 : 0807753289
Total Pages : 169 pages
Book Rating : 4.8/5 (77 download)
Download or read book Building Mathematics Learning Communities written by Erica N. Walker and published by Teachers College Press. This book was released on 2012-05-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on perceptions, behaviors, and experiences of students at an urban high school—both high and low achievers—this timely book demonstrates how urban youth can be meaningfully engaged in learning mathematics. The author presents a "potential" model rather than a "deficit" model, complete with teaching strategies and best practices for teaching mathematics in innovative and relevant ways. This resource offers practical insights for pre- and inservice teachers and administrators on facilitating positive interactions, engagement, and achievement in mathematics, particularly with Black and Latino/a students. It also examines societal perceptions of urban students and how these affect teaching and learning, policies, and mathematics outcomes.
Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)
Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
Author : Habre, Samer
Publisher : IGI Global
ISBN 13 : 1466640510
Total Pages : 298 pages
Book Rating : 4.4/5 (666 download)
Download or read book Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software written by Habre, Samer and published by IGI Global. This book was released on 2013-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a students understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.
Author : Kelly S. Mix
Publisher : Springer
ISBN 13 : 3319987674
Total Pages : 378 pages
Book Rating : 4.3/5 (199 download)
Download or read book Visualizing Mathematics written by Kelly S. Mix and published by Springer. This book was released on 2018-12-07 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.
Author : Nathan Yau
Publisher : John Wiley & Sons
ISBN 13 : 1118654935
Total Pages : 8 pages
Book Rating : 4.1/5 (186 download)
Download or read book Data Points written by Nathan Yau and published by John Wiley & Sons. This book was released on 2013-03-25 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fresh look at visualization from the author of Visualize This Whether it's statistical charts, geographic maps, or the snappy graphical statistics you see on your favorite news sites, the art of data graphics or visualization is fast becoming a movement of its own. In Data Points: Visualization That Means Something, author Nathan Yau presents an intriguing complement to his bestseller Visualize This, this time focusing on the graphics side of data analysis. Using examples from art, design, business, statistics, cartography, and online media, he explores both standard-and not so standard-concepts and ideas about illustrating data. Shares intriguing ideas from Nathan Yau, author of Visualize This and creator of flowingdata.com, with over 66,000 subscribers Focuses on visualization, data graphics that help viewers see trends and patterns they might not otherwise see in a table Includes examples from the author's own illustrations, as well as from professionals in statistics, art, design, business, computer science, cartography, and more Examines standard rules across all visualization applications, then explores when and where you can break those rules Create visualizations that register at all levels, with Data Points: Visualization That Means Something.
Author : Sherry Parrish
Publisher : Math Solutions
ISBN 13 : 1935099116
Total Pages : 434 pages
Book Rating : 4.9/5 (35 download)
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.
Author : Barbara A. Oakley
Publisher : TarcherPerigee
ISBN 13 : 039916524X
Total Pages : 338 pages
Book Rating : 4.3/5 (991 download)
Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.
Author : Marcus Giaquinto
Publisher : Oxford University Press
ISBN 13 : 0199285942
Total Pages : 298 pages
Book Rating : 4.1/5 (992 download)
Download or read book Visual Thinking in Mathematics written by Marcus Giaquinto and published by Oxford University Press. This book was released on 2007-07-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.
Author : Linda Haggarty
Publisher : Routledge
ISBN 13 : 1134500955
Total Pages : 401 pages
Book Rating : 4.1/5 (345 download)
Download or read book Aspects of Teaching Secondary Mathematics written by Linda Haggarty and published by Routledge. This book was released on 2003-09-02 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies. The book examines current initiatives that affect teaching mathematics and identifies pointers for action in the classroom. Divided into three major sections, it looks at: the changing mathematics classroom at primary, secondary and tertiary level major components of the secondary curriculum practical pedagogical issues of particular concern to mathematics teachers. Each issue is explores in terms of major underpinnings and research in that area, and practical ideas can be drawn from the text and implemented in the reader's classroom practice. Each chapter has been written by a well-respected writer, researcher and practitioner in their field and all share a common goal: to look thoughtfully and intelligently at some of the practical issues facing mathematics teachers and offer their perspectives on those issues.
