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The Philosophy of Mathematics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319405681 9783319405698 Year: Pages: 26 DOI: 10.1007/978-3-319-40569-8 Language: English
Publisher: Springer
Subject: Mathematics
Added to DOAB on : 2016-12-20 12:25:58
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This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

The Challenge of Chance: A Multidisciplinary Approach from Science and the Humanities

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Book Series: The Frontiers Collection ISSN: 1612-3018 ISBN: 9783319262987 9783319263007 Year: Pages: 276 DOI: 10.1007/978-3-319-26300-7 Language: English
Publisher: Springer
Subject: Statistics
Added to DOAB on : 2017-01-24 17:28:09
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This book presents a multidisciplinary perspective on chance, with contributions from distinguished researchers in the areas of biology, cognitive neuroscience, economics, genetics, general history, law, linguistics, logic, mathematical physics, statistics, theology and philosophy. The individual chapters are bound together by a general introduction followed by an opening chapter that surveys 2500 years of linguistic, philosophical, and scientific reflections on chance, coincidence, fortune, randomness, luck and related concepts.A main conclusion that can be drawn is that, even after all this time, we still cannot be sure whether chance is a truly fundamental and irreducible phenomenon, in that certain events are simply uncaused and could have been otherwise, or whether it is always simply a reflection of our ignorance. Other challenges that emerge from this book include a better understanding of the contextuality and perspectival character of chance (including its scale-dependence), and the curious fact that, throughout history (including contemporary science), chance has been used both as an explanation and as a hallmark of the absence of explanation. As such, this book challenges the reader to think about chance in a new way and to come to grips with this endlessly fascinating phenomenon.

Who Will Be the Next President?: A Guide to the U.S. Presidential Election System

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ISBN: 9783319446950 9783319446967 Year: Pages: 165 DOI: 10.1007/978-3-319-44696-7 Language: English
Publisher: Springer
Subject: Social and Public Welfare --- Manufactures --- Law
Added to DOAB on : 2017-03-13 12:24:24
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This book addresses the peculiarities of the current presidential election system not yet addressed in other publications. It argues that any rules for electing a President that may have a chance to replace the current ones should provide an equal representation of states as equal members of the Union, and of the nation as a whole. This book analyzes the National Popular Vote plan and shows that this plan may violate the Supreme Court decisions on the equality of votes cast in statewide popular elections held to choose state electors. That is, the National Popular Vote plan may violate the Equal Protection Clause of the Fourteenth Amendment. The book proposes a new election system in which the will of the states and the will of the nation as a whole are determined by direct popular elections for President and Vice President in the 50 states and in D.C. This system a) would elect President a candidate who is the choice of both the nation as a whole and of the states as equal members of the Union, b) would let the current system elect a President only if the nation as a whole and the states as equal members of the Union fail to agree on a common candidate, and c) would encourage the candidates to campaign nationwide. The second edition has been updated to include a proposal on how to make established non-major party presidential candidates and independent candidates welcome participants in national televised presidential debates with the major-party candidates.

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