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Conversations With A Mathematician
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Book Synopsis 777 Mathematical Conversation Starters by : John de Pillis
Download or read book 777 Mathematical Conversation Starters written by John de Pillis and published by Cambridge University Press. This book was released on 2002 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.
Book Synopsis Conversations with a Mathematician by : Gregory J. Chaitin
Download or read book Conversations with a Mathematician written by Gregory J. Chaitin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, G. J. Chaitin, shows that God plays dice not only in quantum mechanics but also in the foundations of mathematics. According to Chaitin there exist mathematical facts that are true for no reason. This fascinating and provocative text contains a collection of his most wide-ranging and non-technical lectures and interviews. It will be of interest to anyone concerned with the philosophy of mathematics, the similarities and differences between physics and mathematics, and mathematics as art.
Book Synopsis Conversations on Mind, Matter, and Mathematics by : Jean-Pierre Changeux
Download or read book Conversations on Mind, Matter, and Mathematics written by Jean-Pierre Changeux and published by Princeton University Press. This book was released on 1998-12-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.
Book Synopsis Mathematical Conversations by : Robin Wilson
Download or read book Mathematical Conversations written by Robin Wilson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.
Book Synopsis How Not to Be Wrong by : Jordan Ellenberg
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Book Synopsis Activating Math Talk by : Paola Sztajn
Download or read book Activating Math Talk written by Paola Sztajn and published by Corwin Press. This book was released on 2020-09-24 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.
Book Synopsis Hands Down, Speak Out by : Kassia Omohundro Wedekind
Download or read book Hands Down, Speak Out written by Kassia Omohundro Wedekind and published by Taylor & Francis. This book was released on 2023-10-10 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math coach, Kassia Omohundro Wedekind and literacy coach, Christy Hermann Thompson, have spent years comparing notes on how to build effective classroom communities across the content areas. How, they wondered, can we lay the groundwork for classroom conversations that are less teacher-directed and more conducive to student-to-student dialogue? Their answers start with Hands-Down Conversations, an innovative discourse structure in which students' ideas and voices take the lead while teachers focus on listening and facilitating. In addition to classrom stories and examples, Christy and Kassia provide 28 micro-lessons designed to help K-5 students develop and excercise their speaking and listening muscles. Inside Hands Down, Speak Out you'll learn how to: Build talk communities that are accessible to everyone, especially those whose voices are often traditionally left out of classroom discourse. Analyze classroom conversations in order to plan next steps for developing the classroom talk community Plan and facilitate three types of conversations across literacy and math Christy and Kassia believe that the development of dialogue skills is worth the investment of time not only becuase it has the power to deepen our understanding of literacy and mathematics, but also to deepen our understanding of ourselves, our communities, and the world.
Download or read book Table Talk Math written by John Stevens and published by . This book was released on 2017-03-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making math part of everyday conversations is a powerful way to help children and teens learn to love math. In Table Talk Math, John Stevens offers parents (and teachers!) ideas for initiating authentic, math-based conversations that will get kids notice and be curious about all the numbers, patterns, and equations in the world around them.
Book Synopsis Mathematical People by : Donald Albers
Download or read book Mathematical People written by Donald Albers and published by CRC Press. This book was released on 2008-09-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introdu
Download or read book Recountings written by Joel Segel and published by CRC Press. This book was released on 2009-01-03 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the history of the MIT Department of Mathematics-one of the most important mathematics departments in the world-through candid, in-depth, lively conversations with a select and diverse group of its senior members. The process reveals much about the motivation, path, and impact of research mathematicians in a society that owes so mu
Book Synopsis A Conversation on Professional Norms in Mathematics by : Mathilde Gerbelli-Gauthier
Download or read book A Conversation on Professional Norms in Mathematics written by Mathilde Gerbelli-Gauthier and published by . This book was released on 2021 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume grew out of a 2019 workshop, held at Johns Hopkins University, that was inspired by a belief that when mathematicians take time to reflect on the social forces involved in the production of mathematics, actionable insights result. Topics range from mechanisms that lead to an inclusion-exclusion dichotomy within mathematics to common pitfalls and better alternatives to how mathematicians approach teaching, mentoring and communicating mathematical ideas.
Book Synopsis More Mathematical People by : Donald J. Albers
Download or read book More Mathematical People written by Donald J. Albers and published by Houghton Mifflin Harcourt P. This book was released on 1990 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of the first volume of Mathematical People comes another collection of interviews and profiles with some of the most prestigious mathematicians of our time. The chapters tell in the mathematicians' own words how they became interested in mathematics, how they chose their speciality, and about their hobbies and personal lives. Each interview has its own colorful character and is full of photographs so personal and lively that they add a new dimension to the reader's perception. -- from dust jacket.
Book Synopsis Growing Mathematical Minds by : Jennifer S. McCray
Download or read book Growing Mathematical Minds written by Jennifer S. McCray and published by Routledge. This book was released on 2018-09-03 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.
Book Synopsis Classroom Discussions by : Suzanne H. Chapin
Download or read book Classroom Discussions written by Suzanne H. Chapin and published by Math Solutions. This book was released on 2009 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on a four-year research project funded by the U.S. Department of Education, this book is divided into four sections: Talk in the Mathematics Class (introducing five discussion strategies, or “moves,” that help teachers achieve their instructional goal of strengthening students’ mathematical thinking and learning), What Do We Talk About?, Implementing Talk in the Classroom, and Case Studies."--pub. desc.
Book Synopsis Mathematics for Human Flourishing by : Francis Su
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.
Book Synopsis 777 Mathematical Conversation Starters by : John dePillis
Download or read book 777 Mathematical Conversation Starters written by John dePillis and published by American Mathematical Soc.. This book was released on 2002-12-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 777 Mathematical Conversation Starters shows that there are few degrees of separation between mathematics and topics that provoke interesting conversations. The topics presented in this unique book are accessible to mathematicians and non-mathematicians alike. They include thought-provoking conversation starters such as: the value of fame; why language matters; the anatomy of thought; how we know what we know; how the Pythagorean theorem (with very little physics) shows that Einstein was correct about time dilation and distance contraction; and how mathematics produces intuition-defying examples. The format is unique, too: topics (conversation starters) are numbered, extensively cross-referenced, and divided into small digestible units. Published for the first time in 777 Mathematical Conversation Starters are original quotes from Joshua Lederberg, Ron Graham, Jay Leno, Martin Gardner, and many others.
Author :Anita A. Wager Publisher :National Council of Teachers of English ISBN 13 :9780873536790 Total Pages :213 pages Book Rating :4.5/5 (367 download)
Book Synopsis Teaching Mathematics for Social Justice by : Anita A. Wager
Download or read book Teaching Mathematics for Social Justice written by Anita A. Wager and published by National Council of Teachers of English. This book was released on 2012 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This collection of original articles is the start of a compelling conversation among some of the leading figures in critical and social justice mathematics, a number of teachers and educators who have been inspired by them-and who have inspiring stories of their own to tell - and any reader interested in the intersection of education and social justice. An important read for every educator, this book shows how to teach mathematics so that all students are given the tools they need to confront issues of social justice today and in the years ahead"--page [4] of cover.
