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: 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: Margaret Schwan Smith
Publisher:
ISBN: 9781483351117
Category : Communication in mathematics
Languages : en
Pages : 104

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Book Description
Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Author: E. B. Dynkin
Publisher: Courier Corporation
ISBN: 0486154912
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Comprises Multicolor Problems, dealing with map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; Random Walks, addressing basic problems in probability theory. 1963 edition.

Author: John Stevens
Publisher:
ISBN: 9781946444028
Category : Education
Languages : en
Pages : 138

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Book Description
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.

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: 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: Margaret (Peg) Smith
Publisher: Corwin Press
ISBN: 1544321147
Category : Education
Languages : en
Pages : 241

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Book Description
Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.

Author: Sherry Parrish
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434

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Book Description
"A multimedia professional learning resource"--Cover.

Author: Jennifer S. McCray
Publisher: Routledge
ISBN: 131729517X
Category : Education
Languages : en
Pages : 183

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Book Description
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.