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Author: Albert Cuoco
Publisher: MIT Press
ISBN: 9780262530712
Category : Computers
Languages : en
Pages : 636
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Book Description
Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus. This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher. In three parts, Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Author: Edward Zaccaro
Publisher:
ISBN: 9780967991580
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Investigations on topics such as the dangers of short term loans, interest, and other topics of financial literacy. Explore the math behind current topics such as ethanol and hybrid cars. Learn how math mistakes in the media have had significant consequences. These and other fascinating math investigations show the ability of mathematics to cut through deception and flawed thinking.
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.
Author: Albert Cuoco
Publisher: MIT Press
ISBN: 9780262530712
Category : Computers
Languages : en
Pages : 636
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Book Description
Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus. This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher. In three parts, Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Author: Arya ökten
Publisher: Tumblehome, Incorporated
ISBN: 9781943431625
Category : Juvenile Fiction
Languages : en
Pages : 0
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Book Description
"A playful approach to some core ideas of mathematics, this book will help lay the foundation for understanding algebra and probability. Dr. O and his young associate Arya explore and discover ideas in ciphers, triangular numbers, primes and composites, probability, and a variety of fascinating number patterns. For a parent and curious child, or for a curious child alone, these mathematical investigations will invite re-reading and further exploration."--Back cover.
Author: Steve Benson
Publisher: Corwin Press
ISBN: 9780761931058
Category : Education
Languages : en
Pages : 266
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Book Description
Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.
Author: Vasile Berinde
Publisher: Springer Science & Business Media
ISBN: 9783764370190
Category : Mathematics
Languages : en
Pages : 272
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Book Description
This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions to over 100 problems and hints for over 150 further problems and exercises.
Author: Jerald Murdock
Publisher:
ISBN: 9781559539845
Category : Algebra
Languages : en
Pages : 0
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Book Description
Changes in society and the workplace require a careful analysis of the algebra curriculum that we teach. The curriculum, teaching, and learning of yesterday do not meet the needs of today's students.
Author: Erica Dakin Voolich
Publisher: Dale Seymour Publications
ISBN: 9780769008288
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Presents the mathematics of the past and includes information about important persons and cultures who developed it.
Author: Brian Harvey
Publisher:
ISBN:
Category : Computer programming
Languages : en
Pages : 388
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Book Description
Author: Harris et al
Publisher:
ISBN: 9781524921286
Category :
Languages : en
Pages :
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Book Description
