Download or read book Are Science and Mathematics Socially Constructed written by Richard C. Brown and published by World Scientific. This book was released on 2009 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a history, analysis, and criticism of what the author calls OC postmodern interpretations of scienceOCO (PIS) and the closely related OC sociology of scientific knowledgeOCO (SSK). This movement traces its origin to Thomas Kuhn''s revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a OC social constructionOCO, having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex.
Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Download or read book Constructing Mathematical Knowledge written by Paul Ernest and published by Routledge. This book was released on 2012-10-12 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
Download or read book The Social Construction of What written by Ian Hacking and published by Harvard University Press. This book was released on 1999-05-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lost in the raging debate over the validity of social construction is the question of what, precisely, is being constructed. Facts, gender, quarks, reality? Ian Hacking’s book explores an array of examples to reveal the deep issues underlying contentious accounts of reality—especially regarding the status of the natural sciences.
Download or read book Making 20th Century Science written by Stephen G. Brush and published by Oxford University Press, USA. This book was released on 2015 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, the scientific method has been said to require proposing a theory, making a prediction of something not already known, testing the prediction, and giving up the theory (or substantially changing it) if it fails the test. A theory that leads to several successful predictions is more likely to be accepted than one that only explains what is already known but not understood. This process is widely treated as the conventional method of achieving scientific progress, and was used throughout the twentieth century as the standard route to discovery and experimentation. But does science really work this way? In Making 20th Century Science, Stephen G. Brush discusses this question, as it relates to the development of science throughout the last century. Answering this question requires both a philosophically and historically scientific approach, and Brush blends the two in order to take a close look at how scientific methodology has developed. Several cases from the history of modern physical and biological science are examined, including Mendeleev's Periodic Law, Kekule's structure for benzene, the light-quantum hypothesis, quantum mechanics, chromosome theory, and natural selection. In general it is found that theories are accepted for a combination of successful predictions and better explanations of old facts. Making 20th Century Science is a large-scale historical look at the implementation of the scientific method, and how scientific theories come to be accepted.
Download or read book Making Science written by Stephen Cole and published by Harvard University Press. This book was released on 1992 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sociology of science is dominated today by relativists who boldly argue that the content of science is not influenced by evidence from the empirical world but is instead socially constructed in the laboratory. Making Science is the first serious critique by a sociologist of the social constructivist position. Stephen Cole begins by making a distinction between two kinds of knowledge: the core, which consists of those contributions that have passed the test of evaluation and are universally accepted as true and important, and the research frontier, which is composed of all work in progress that is still under evaluation. Of the thousands of scientific contributions made each year, only a handful end up in the core. What distinguishes those that are successful? Agreeing with the constructivists, Cole argues that there exists no set of rules that enables scientists to certify the validity of frontier knowledge. This knowledge is "underdetermined" by the evidence, and therefore social factors--such as professional characteristics and intellectual authority--can and do play a crucial role in its evaluation. But Cole parts company with the constructivists when he asserts that it is impossible to understand which frontier knowledge wins a place in the core without first considering the cognitive characteristics of the contributions. He concludes that although the focus of scientific research, the rate of advance, and indeed the everyday making of science are influenced by social variables and processes, the content of the core of science is constrained by nature. In Making Science, Cole shows how social variables and cognitive variables interact in the evaluation of frontier knowledge.
Download or read book Three Plays of Maureen Hunter written by Hunter, Maureen and published by OIBooks-Libros. This book was released on 2003 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book is clean and tight. No writing in text. Like New
Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Download or read book Sociology Science and the End of Philosophy written by Sal Restivo and published by Springer. This book was released on 2017-07-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique analysis of how ideas about science and technology in the public and scientific imaginations (in particular about maths, logic, the gene, the brain, god, and robots) perpetuate the false reality that values and politics are separate from scientific knowledge and its applications. These ideas are reinforced by cultural myths about free will and individualism. Restivo makes a compelling case for a synchronistic approach in the study of these notoriously 'hard' cases, arguing that their significance reaches far beyond the realms of science and technology, and that their sociological and political ramifications are of paramount importance in our global society. This innovative work deals with perennial problems in the social sciences, philosophy, and the history of science and religion, and will be of special interest to professionals in these fields, as well as scholars of science and technology studies.
Download or read book Philosophy of Mathematics written by Øystein Linnebo and published by Princeton University Press. This book was released on 2020-03-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.
Download or read book Mathematics Substance and Surmise written by Ernest Davis and published by Springer. This book was released on 2015-11-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran
Download or read book A Philosophy of the Social Construction of Crime written by David Polizzi and published by Policy Press. This book was released on 2016 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book situates the social construction of crime and criminal behaviour within the philosophical context of phenomenology and explores how these constructions inform, and justify, the policies employed to address them. It is essential reading for academics and students interested in social theory and theories of criminology.
Download or read book Mathematics for Social Scientists written by Jonathan Kropko and published by . This book was released on 2016 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Topology and Modern Analysis written by George Finlay Simmons and published by Ingram. This book was released on 1963 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other --- Product Description.
Download or read book Life Part 1 The Cell written by William K. Purves and published by Macmillan. This book was released on 2004-08-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Framework for K 12 Science Education written by National Research Council and published by National Academies Press. This book was released on 2012-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Mathematics Course for Political and Social Research written by Will H. Moore and published by Princeton University Press. This book was released on 2013-08-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set") Selected solutions available online to students
