Exploring, Investigating and Discovering in Mathematics PDF Download
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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: Vasile Berinde
Publisher: Springer Science & Business Media
ISBN: 9783764370190
Category : Mathematics
Languages : en
Pages : 272
Get Book Here
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: Vasile Berinde
Publisher: Birkhäuser
ISBN: 3034878893
Category : Mathematics
Languages : en
Pages : 250
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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: A. Gardiner
Publisher: Courier Corporation
ISBN: 0486452999
Category : Mathematics
Languages : en
Pages : 226
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Book Description
The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.
Author: John Meier
Publisher: Cambridge University Press
ISBN: 1107128986
Category : Mathematics
Languages : en
Pages : 341
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Book Description
With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.
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: Angela Eckhoff
Publisher: Gryphon House Incorporated
ISBN: 9780876597293
Category : Education
Languages : en
Pages : 0
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Book Description
Encourages teachers to explore play , imagination deep involvement and risk taking all I the mathematical context.
Author: Caroline Cohrssen
Publisher: Springer Nature
ISBN: 3030656241
Category : Education
Languages : en
Pages : 302
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Book Description
This book approaches STEAM (Science, Technology, Engineering, the Arts and Mathematics) in early childhood education from multiple angles. It focuses on the teaching and learning of children from two years of age to the early years of school. Proponents of STEAM describe how it can create opportunities for children to learn creatively, and various chapter authors make strong connections between discipline areas within the context of an informal curriculum. Others advocate for an integrated STEM, rather than STEAM, approach. With a light touch on theory and a focus on how to embed STE(A)M in an integrated early childhood curriculum, the editors and contributors examine the STEAM versus STEM question from multiple angles. The chapters provide helpful frameworks for parents, teachers and higher education institutions, and make practical suggestions of ways to support young children’s inquiry learning. Drawing on pedagogy and research from around the world, this book will be of interest to scholars of STEAM education, early childhood educators, students of early childhood education and parents of young children.
Author: Shai Simonson
Publisher: American Mathematical Soc.
ISBN: 1470451204
Category : Education
Languages : en
Pages : 207
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Book Description
Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.
Author: Michael Serra
Publisher: Kendall/Hunt Publishing Company
ISBN: 9781559530743
Category : Juvenile Nonfiction
Languages : en
Pages : 262
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Book Description
Author: Allen C. Rosales
Publisher: Redleaf Press
ISBN: 1605543969
Category : Education
Languages : en
Pages : 150
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Book Description
This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.
