Summary of Arithmetic Investigations

Summary of Arithmetic Investigations PDF Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 32

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Book Description

Summary of Arithmetic Investigations

Summary of Arithmetic Investigations PDF Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 32

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Book Description


Summary of Arithmetic Investigations

Summary of Arithmetic Investigations PDF Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 28

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Book Description


Summary of Educational Investigations Relating to Arithmetic

Summary of Educational Investigations Relating to Arithmetic PDF Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 230

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Book Description


Investigations

Investigations PDF Author: Stuart A. Kauffman
Publisher: Oxford University Press
ISBN: 0190283858
Category : Science
Languages : en
Pages : 469

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Book Description
"It may be that I have stumbled upon an adequate description of life itself." These modest yet profound words trumpet an imminent paradigm shift in scientific, economic, and technological thinking. In the tradition of Schrödinger's classic What Is Life?, Kauffman's Investigations is a tour-de-force exploration of the very essence of life itself, with conclusions that radically undermine the scientific approaches on which modern science rests--the approaches of Newton, Boltzman, Bohr, and Einstein. Building on his pivotal ideas about order and evolution in complex life systems, Kauffman finds that classical science does not take into account that physical systems--such as people in a biosphere--effect their dynamic environments in addition to being affected by them. These systems act on their own behalf as autonomous agents, but what defines them as such? In other words, what is life? Kauffman supplies a novel answer that goes beyond traditional scientific thinking by defining and explaining autonomous agents and work in the contexts of thermodynamics and of information theory. Much of Investigations unpacks the progressively surprising implications of his definition. Significantly, he sets the stages for a technological revolution in the coming decades. Scientists and engineers may soon seek to create autonomous agents--both organic and mechanical--that can not only construct things and work, but also reproduce themselves! Kauffman also lays out a foundation for a new concept of organization, and explores the requirements for the emergence of a general biology that will transcend terrestrial biology to seek laws governing biospheres anywhere in the cosmos. Moreover, he presents four candidate laws to explain how autonomous agents co-create their biosphere and the startling idea of a "co-creating" cosmos. A showcase of Kauffman's most fundamental and significant ideas, Investigations presents a new way of thinking about the fundamentals of general biology that will change the way we understand life itself--on this planet and anywhere else in the cosmos.

Disquisitiones Arithmeticae

Disquisitiones Arithmeticae PDF Author: Carl Friedrich Gauss
Publisher: Springer
ISBN: 1493975609
Category : Mathematics
Languages : en
Pages : 491

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Book Description
Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

Real Life Math Investigations

Real Life Math Investigations PDF Author: Martin Lee
Publisher: Scholastic
ISBN: 9780590963848
Category : Educational games
Languages : en
Pages : 0

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Book Description
Each investigation in this book asks a question and presents a plan of action. None has a single 'right answer, ' yet all can be answered in some way. There's no answer key--it's up to students to use their critical thinking skills and number sense to evaluate their work and the work of their classmates. It's up to you to help them recognize and apply the math ideas embedded in every investigation, such as patterns and relationships, computation, estimation, measurement, statistics, and proportional reasoning.- from the book.Grades 5-8.

Metamathematical Investigation of Intuitionistic Arithmetic and Analysis

Metamathematical Investigation of Intuitionistic Arithmetic and Analysis PDF Author: Anne S. Troelstra
Publisher: Springer
ISBN: 3540378065
Category : Mathematics
Languages : en
Pages : 518

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Book Description


Philosophy of Arithmetic

Philosophy of Arithmetic PDF Author: Edmund Husserl
Publisher: Springer Science & Business Media
ISBN: 9401000603
Category : Mathematics
Languages : en
Pages : 558

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Book Description
This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.

Summary of Reading Investigations...

Summary of Reading Investigations... PDF Author: William Scott Gray
Publisher:
ISBN:
Category : Reading
Languages : en
Pages : 40

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Book Description


The Schools We Need

The Schools We Need PDF Author: E.D. Hirsch, Jr.
Publisher: Anchor
ISBN: 030757556X
Category : Education
Languages : en
Pages : 337

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Book Description
This paperback edition, with a new introduction, offers a powerful, compelling, and unassailable argument for reforming America's schooling methods and ideas--by one of America's most important educators, and author of the bestselling Cultural Literacy. For over fifty years, American schools have operated under the assumption that challenging children academically is unnatural for them, that teachers do not need to know the subjects they teach, that the learning "process" should be emphasized over the facts taught. All of this is tragically wrong. Renowned educator and author E. D. Hirsch, Jr., argues that, by disdaining content-based curricula while favoring abstract--and discredited--theories of how a child learns, the ideas uniformly taught by our schools have done terrible harm to America's students. Instead of preparing our children for the highly competitive, information-based economy in which we now live, our schools' practices have severely curtailed their ability, and desire, to learn. With an introduction that surveys developments in education since the hardcover edition was published, The Schools We Need is a passionate and thoughtful book that will appeal to the millions of people who can't understand why America's schools aren't educating our children.