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Author: John de Pillis
Publisher: Cambridge University Press
ISBN: 9780883855409
Category : Mathematics
Languages : en
Pages : 364
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Book Description
Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.
Author: John de Pillis
Publisher: Cambridge University Press
ISBN: 9780883855409
Category : Mathematics
Languages : en
Pages : 364
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Book Description
Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.
Author: Gregory J. Chaitin
Publisher: Springer Science & Business Media
ISBN: 1447101855
Category : Science
Languages : en
Pages : 162
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Book Description
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.
Author: Robin Wilson
Publisher: Springer Science & Business Media
ISBN: 1461301955
Category : Mathematics
Languages : en
Pages : 486
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Book Description
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.
Author: Paola Sztajn
Publisher: Corwin Press
ISBN: 1071821571
Category : Education
Languages : en
Pages : 225
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Book Description
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.
Author: Jean-Pierre Changeux
Publisher: Princeton University Press
ISBN: 9780691004051
Category : Philosophy
Languages : en
Pages : 272
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Book Description
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.
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Category : Mathematics
Languages : en
Pages : 482
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Book Description
“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.
Author: Donald Albers
Publisher: CRC Press
ISBN: 1439865175
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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
Author: Kassia Omohundro Wedekind
Publisher: Taylor & Francis
ISBN: 1003841031
Category : Education
Languages : en
Pages : 249
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Book Description
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.
Author: Donald J. Albers
Publisher: Houghton Mifflin Harcourt P
ISBN: 9780151581757
Category : Biography & Autobiography
Languages : en
Pages : 402
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Book Description
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.
Author: Mathilde Gerbelli-Gauthier
Publisher:
ISBN: 9781470467807
Category : Communication in mathematics
Languages : en
Pages : 139
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Book Description
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.
