Mathematical Understanding of Nature

Mathematical Understanding of Nature

Author: Vladimir Igorevich Arnolʹd

Publisher: American Mathematical Soc.

Published: 2014-09-04

Total Pages: 184

ISBN-13: 1470418894

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"This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science."--


The Field Guide to Natural Wonders

The Field Guide to Natural Wonders

Author: Keith C. Heidorn

Publisher: A&C Black

Published: 2010-10-01

Total Pages: 225

ISBN-13: 1408132699

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From optical phenomena, such as rainbows and light pillars, to celestial phenomena like eclipses and the aurora borealis, this title explores a wide range of rare natural events, describing each one in detail and explaining the science behind them in simple, non-technical terms.


Reproducibility and Replicability in Science

Reproducibility and Replicability in Science

Author: National Academies of Sciences, Engineering, and Medicine

Publisher: National Academies Press

Published: 2019-10-20

Total Pages: 257

ISBN-13: 0309486165

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One of the pathways by which the scientific community confirms the validity of a new scientific discovery is by repeating the research that produced it. When a scientific effort fails to independently confirm the computations or results of a previous study, some fear that it may be a symptom of a lack of rigor in science, while others argue that such an observed inconsistency can be an important precursor to new discovery. Concerns about reproducibility and replicability have been expressed in both scientific and popular media. As these concerns came to light, Congress requested that the National Academies of Sciences, Engineering, and Medicine conduct a study to assess the extent of issues related to reproducibility and replicability and to offer recommendations for improving rigor and transparency in scientific research. Reproducibility and Replicability in Science defines reproducibility and replicability and examines the factors that may lead to non-reproducibility and non-replicability in research. Unlike the typical expectation of reproducibility between two computations, expectations about replicability are more nuanced, and in some cases a lack of replicability can aid the process of scientific discovery. This report provides recommendations to researchers, academic institutions, journals, and funders on steps they can take to improve reproducibility and replicability in science.


Critical Phenomena in Natural Sciences

Critical Phenomena in Natural Sciences

Author: Didier Sornette

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 445

ISBN-13: 366204174X

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A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.


A Framework for K-12 Science Education

A Framework for K-12 Science Education

Author: National Research Council

Publisher: National Academies Press

Published: 2012-02-28

Total Pages: 400

ISBN-13: 0309214459

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Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.


Taking Science to School

Taking Science to School

Author: National Research Council

Publisher: National Academies Press

Published: 2007-04-16

Total Pages: 404

ISBN-13: 0309133831

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What is science for a child? How do children learn about science and how to do science? Drawing on a vast array of work from neuroscience to classroom observation, Taking Science to School provides a comprehensive picture of what we know about teaching and learning science from kindergarten through eighth grade. By looking at a broad range of questions, this book provides a basic foundation for guiding science teaching and supporting students in their learning. Taking Science to School answers such questions as: When do children begin to learn about science? Are there critical stages in a child's development of such scientific concepts as mass or animate objects? What role does nonschool learning play in children's knowledge of science? How can science education capitalize on children's natural curiosity? What are the best tasks for books, lectures, and hands-on learning? How can teachers be taught to teach science? The book also provides a detailed examination of how we know what we know about children's learning of scienceâ€"about the role of research and evidence. This book will be an essential resource for everyone involved in K-8 science educationâ€"teachers, principals, boards of education, teacher education providers and accreditors, education researchers, federal education agencies, and state and federal policy makers. It will also be a useful guide for parents and others interested in how children learn.


Breaking the Spell

Breaking the Spell

Author: Daniel C. Dennett

Publisher: Penguin

Published: 2006-02-02

Total Pages: 472

ISBN-13: 110121886X

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The New York Times bestseller – a “crystal-clear, constantly engaging” (Jared Diamond) exploration of the role that religious belief plays in our lives and our interactions For all the thousands of books that have been written about religion, few until this one have attempted to examine it scientifically: to ask why—and how—it has shaped so many lives so strongly. Is religion a product of blind evolutionary instinct or rational choice? Is it truly the best way to live a moral life? Ranging through biology, history, and psychology, Daniel C. Dennett charts religion’s evolution from “wild” folk belief to “domesticated” dogma. Not an antireligious screed but an unblinking look beneath the veil of orthodoxy, Breaking the Spell will be read and debated by believers and skeptics alike.


Understanding Natural Phenomena

Understanding Natural Phenomena

Author: Vinod Wadhawan

Publisher: Createspace Independent Publishing Platform

Published: 2017-07-04

Total Pages: 586

ISBN-13: 9781548527938

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'This book is epic in the sense that it covers so much ground that one is left somewhat dizzy. And yet, it all makes sense once one realizes how it is possible for something that is complex, for example a flower, to evolve via natural processes from humble beginnings. After all, starting with single-cell creatures such as amoebae we follow a complicated but rational evolutionary path to arrive at the most complex organizations that we know of - ourselves. So, if you follow the logic of this book, starting with the basic concepts of thermodynamics, symmetry, quantum theory and so on, you will be treated to many many thought-provoking ideas, which will likely challenge your own preconceptions and leave you thirsting for more.' (From the foreword by Prof. A. M. Glazer, University of Oxford) Science is all about trying to understand natural phenomena under the strict discipline imposed by the celebrated scientific method. Practically all the systems we encounter in Nature are dynamical systems, meaning that they evolve with time. Among them there are the 'simple' or 'simplifiable' systems, which can be handled by traditional, reductionistic science; and then there are 'complex' systems, for which nonreductionistic approaches have to be attempted for understanding their evolution. In this book the author makes a case that a good way to understand a large number of natural phenomena, both simple and complex, is to focus on their self-organization and emergence aspects. Self-organization and emergence are rampant in Nature and, given enough time, their cumulative effects can be so mind-boggling that many people have great difficulty believing that there is no designer involved in the emergence of all the structure and order we see around us. But it is really quite simple to understand how and why we get so much 'order for free'. It all happens because, as ordained by the infallible second law of thermodynamics, all 'thermodynamically open' systems in our ever-expanding and cooling (and therefore gradient-creating) universe constantly tend to move towards equilibrium and stability, often ending up in ordered configurations. In other words, order emerges because Nature tends to find efficient ways to annul gradients of all types. This book will help you acquire a good understanding of the essential features of many natural phenomena, via the complexity-science route. It has four parts: (1) Complexity Basics; (2) Pre-Human Evolution of Complexity; (3) Humans and the Evolution of Complexity; and (4) Appendices. The author gives centrestage to the second law of thermodynamics for 'open' systems, which he describes as 'the mother of all organizing principles'. He also highlights a somewhat unconventional statement of this law: 'Nature abhors gradients'. The book is written at two levels, one of which hardly uses any mathematical equations; the mathematical treatment of some relevant topics has been pushed to the last part of the book, in the form of ten appendices. Therefore the book should be accessible to a large readership. It is a general-science book written in a reader-friendly language, but without any dumbing down of the narrative.


Mechanism

Mechanism

Author: Domenico Bertoloni Meli

Publisher: University of Pittsburgh Press

Published: 2019-04-18

Total Pages: 295

ISBN-13: 0822986523

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The mechanical philosophy first emerged as a leading player on the intellectual scene in the early modern period—seeking to explain all natural phenomena through the physics of matter and motion—and the term mechanism was coined. Over time, natural phenomena came to be understood through machine analogies and explanations and the very word mechanism, a suggestive and ambiguous expression, took on a host of different meanings. Emphasizing the important role of key ancient and early modern protagonists, from Galen to Robert Boyle, this book offers a historical investigation of the term mechanism from the late Renaissance to the end of the seventeenth century, at a time when it was used rather frequently in complex debates about the nature of the notion of the soul. In this rich and detailed study, Domenico Bertoloni Melifocuses on strategies for discussing the notion of mechanism in historically sensitive ways; the relation between mechanism, visual representation, and anatomy; the usage and meaning of the term in early modern times; and Marcello Malpighi and the problems of fecundation and generation, among the most challenging topics to investigate from a mechanistic standpoint.


Scientific Understanding

Scientific Understanding

Author: Henk W. de Regt

Publisher: University of Pittsburgh Pre

Published: 2014-08-09

Total Pages: 365

ISBN-13: 0822971240

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To most scientists, and to those interested in the sciences, understanding is the ultimate aim of scientific endeavor. In spite of this, understanding, and how it is achieved, has received little attention in recent philosophy of science. Scientific Understanding seeks to reverse this trend by providing original and in-depth accounts of the concept of understanding and its essential role in the scientific process. To this end, the chapters in this volume explore and develop three key topics: understanding and explanation, understanding and models, and understanding in scientific practice. Earlier philosophers, such as Carl Hempel, dismissed understanding as subjective and pragmatic. They believed that the essence of science was to be found in scientific theories and explanations. In Scientific Understanding, the contributors maintain that we must also consider the relation between explanations and the scientists who construct and use them. They focus on understanding as the cognitive state that is a goal of explanation and on the understanding of theories and models as a means to this end. The chapters in this book highlight the multifaceted nature of the process of scientific research. The contributors examine current uses of theory, models, simulations, and experiments to evaluate the degree to which these elements contribute to understanding. Their analyses pay due attention to the roles of intelligibility, tacit knowledge, and feelings of understanding. Furthermore, they investigate how understanding is obtained within diverse scientific disciplines and examine how the acquisition of understanding depends on specific contexts, the objects of study, and the stated aims of research.