Toward A Mathematics Of Politics

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Mathematics and Politics

Author : Alan D. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 0387776435
Total Pages : 378 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematics and Politics by : Alan D. Taylor

Download or read book Mathematics and Politics written by Alan D. Taylor and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger

A Mathematics Course for Political and Social Research

Author : Will H. Moore
Publisher : Princeton University Press
ISBN 13 : 0691159173
Total Pages : 450 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Mathematics Course for Political and Social Research by : Will H. Moore

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

Toward Equity and Social Justice in Mathematics Education

Author : Tonya Gau Bartell
Publisher : Springer
ISBN 13 : 3319929070
Total Pages : 343 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Toward Equity and Social Justice in Mathematics Education by : Tonya Gau Bartell

Download or read book Toward Equity and Social Justice in Mathematics Education written by Tonya Gau Bartell and published by Springer. This book was released on 2018-08-14 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges by narrowing in on four foci: theoretical and political perspectives toward equity and justice in mathematics education, identifying and connecting to family and community funds of knowledge, student learning and engagement in preK-12 mathematics classrooms, and supporting teachers in addressing the needs of marginalized learners. Each of these areas examines how race, class, culture, power, justice and mathematics teaching and learning intersect in mathematics education to sustain or disrupt inequities, and include contributions from scholars writing about mathematics education in diverse contexts. Included in the coverage: Disrupting policies and reforms to address the needs of marginalized learners A socio-spatial framework for urban mathematics education Linking literature on allywork to the work of mathematics teacher educators Transnational families’ mathematical funds of knowledge Multilingual and technological contexts for supporting learners’ mathematical discourse Preservice teachers’ strategies for teaching mathematics with English learners Toward Equity and Social Justice in Mathematics Education is of significant interest to mathematics teacher educators and mathematics education researchers currently addressing the needs of marginalized students in school mathematics. It is also relevant to teachers of related disciplines, administrators, and instructional designers interested in pushing our thinking and work toward equity and justice in mathematics education.

The Oxford Handbook of Law and Politics

Author : Keith E. Whittington
Publisher : OUP Oxford
ISBN 13 : 0191616281
Total Pages : 828 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Oxford Handbook of Law and Politics by : Keith E. Whittington

Download or read book The Oxford Handbook of Law and Politics written by Keith E. Whittington and published by OUP Oxford. This book was released on 2010-06-11 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of law and politics is one of the foundation stones of the discipline of political science, and it has been one of the most productive areas of cross-fertilization between the various subfields of political science and between political science and other cognate disciplines. This Handbook provides a comprehensive survey of the field of law and politics in all its diversity, ranging from such traditional subjects as theories of jurisprudence, constitutionalism, judicial politics and law-and-society to such re-emerging subjects as comparative judicial politics, international law, and democratization. The Oxford Handbook of Law and Politics gathers together leading scholars in the field to assess key literatures shaping the discipline today and to help set the direction of research in the decade ahead.

Opening the Cage

Author : Ole Skovsmose
Publisher : Springer Science & Business Media
ISBN 13 : 9460918085
Total Pages : 387 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Opening the Cage by : Ole Skovsmose

Download or read book Opening the Cage written by Ole Skovsmose and published by Springer Science & Business Media. This book was released on 2012-09-05 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The picture on the front of this book is an illustration for Totakahini: The tale of the parrot, by Rabindranath Tagore, in which he satirized education as a magnificent golden cage. Opening the cage addresses mathematics education as a complex socio-political phenomenon, exploring the vast terrain that spans critique and politics. Opening the cage includes contributions from educators writing critically about mathematics education in diverse contexts. They demonstrate that mathematics education is politics, they investigate borderland positions, they address the nexus of mathematics, education, and power, and they explore educational possibilities. Mathematics education is not a free enterprise. It is carried on behind bars created by economic, political, and social demands. This cage might not be as magnificent as that in Tagore’s fable. But it is strong. Opening the cage is a critical and political challenge, and we may be surprised to see what emerges.

Critical Mathematics Education

Author : Paul Ernest
Publisher : IAP
ISBN 13 : 1681232618
Total Pages : 361 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Critical Mathematics Education by : Paul Ernest

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Toward a Mathematics of Politics

Author : Gordon Tullock
Publisher : Ann Arbor : University of Michigan Press
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Toward a Mathematics of Politics by : Gordon Tullock

Download or read book Toward a Mathematics of Politics written by Gordon Tullock and published by Ann Arbor : University of Michigan Press. This book was released on 1967 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin Press
ISBN 13 : 1594205221
Total Pages : 480 pages
Book Rating : 4.5/5 (942 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Reading and Writing the World with Mathematics

Author : Eric Gutstein
Publisher : Routledge
ISBN 13 : 1136284656
Total Pages : 274 pages
Book Rating : 4.1/5 (362 download)

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Book Synopsis Reading and Writing the World with Mathematics by : Eric Gutstein

Download or read book Reading and Writing the World with Mathematics written by Eric Gutstein and published by Routledge. This book was released on 2012-09-10 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education in the United States can reproduce social inequalities whether schools use either "basic-skills" curricula to prepare mainly low-income students of color for low-skilled service jobs or "standards-based" curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.

Change They Can't Believe In

Author : Christopher S. Parker
Publisher : Princeton University Press
ISBN 13 : 0691163618
Total Pages : 394 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Change They Can't Believe In by : Christopher S. Parker

Download or read book Change They Can't Believe In written by Christopher S. Parker and published by Princeton University Press. This book was released on 2014-10-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the political beliefs of Tea Party supporters are connected to far-right social movements Are Tea Party supporters merely a group of conservative citizens concerned about government spending? Or are they racists who refuse to accept Barack Obama as their president because he's not white? Change They Can’t Believe In offers an alternative argument—that the Tea Party is driven by the reemergence of a reactionary movement in American politics that is fueled by a fear that America has changed for the worse. Providing a range of original evidence and rich portraits of party sympathizers as well as activists, Christopher Parker and Matt Barreto show that the perception that America is in danger directly informs how Tea Party supporters think and act. In a new afterword, Parker and Barreto reflect on the Tea Party’s recent initiatives, including the 2013 government shutdown, and evaluate their prospects for the 2016 election.

Towards a Philosophy of Critical Mathematics Education

Author : Ole Skovsmose
Publisher : Springer Science & Business Media
ISBN 13 : 9401735565
Total Pages : 312 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Towards a Philosophy of Critical Mathematics Education by : Ole Skovsmose

Download or read book Towards a Philosophy of Critical Mathematics Education written by Ole Skovsmose and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Nineteen Eighty-Four George Orwell gives a description of different forms of suppression. We learn about the telescreens placed everywhere, through which it is possible for Big-Brother to watch the inhabitants of Oceania. However, it is not only important to control the activities of the inhabitants, it is important as well to control their thoughts, and the Thought Police are on guard. This is a very direct form of monitoring and control, but Orwell also outlines a more imperceptible and calculated line of thought control. In the Appendix to Nineteen Eighty-Four Orwell explains some struc tures of 'Newspeak', which is going to become the official language of Oceania. Newspeak is being developed by the Ministry of Truth, and this language has to substitute 'Oldspeak' (similar to standard English). Newspeak should fit with the official politics of Oceania ruled by the Ingsoc party: "The purpose of Newspeak was not only to provide a medium of expression for the world-view and mental habits proper to the devotees of Ingsoc, but to make all other modes of thought impos sible. It was intended that when Newspeak had been adopted once and for all and Oldspeak forgotten, a heretical thought - that is, a thought diverging from the principles of Ingsoc - should be literally unthink able, at least as far as thought is dependent on words.

The Politics of the Veil

Author : Joan Wallach Scott
Publisher : Princeton University Press
ISBN 13 : 0691147981
Total Pages : 224 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Politics of the Veil by : Joan Wallach Scott

Download or read book The Politics of the Veil written by Joan Wallach Scott and published by Princeton University Press. This book was released on 2010-08-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2004, the French government instituted a ban on the wearing of "conspicuous signs" of religious affiliation in public schools. Though the ban applies to everyone, it is aimed at Muslim girls wearing headscarves. Proponents of the law insist it upholds France's values of secular liberalism and regard the headscarf as symbolic of Islam's resistance to modernity. The Politics of the Veil is an explosive refutation of this view, one that bears important implications for us all. Joan Wallach Scott, the renowned pioneer of gender studies, argues that the law is symptomatic of France's failure to integrate its former colonial subjects as full citizens. She examines the long history of racism behind the law as well as the ideological barriers thrown up against Muslim assimilation. She emphasizes the conflicting approaches to sexuality that lie at the heart of the debate--how French supporters of the ban view sexual openness as the standard for normalcy, emancipation, and individuality, and the sexual modesty implicit in the headscarf as proof that Muslims can never become fully French. Scott maintains that the law, far from reconciling religious and ethnic differences, only exacerbates them. She shows how the insistence on homogeneity is no longer feasible for France--or the West in general--and how it creates the very "clash of civilizations" said to be at the root of these tensions. The Politics of the Veil calls for a new vision of community where common ground is found amid our differences, and where the embracing of diversity--not its suppression--is recognized as the best path to social harmony.

Mathematics and Democracy

Author : Steven J. Brams
Publisher : Princeton University Press
ISBN 13 : 1400835593
Total Pages : 390 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics and Democracy by : Steven J. Brams

Download or read book Mathematics and Democracy written by Steven J. Brams and published by Princeton University Press. This book was released on 2009-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.

Towards Higher Mathematics: A Companion

Author : Richard Earl
Publisher : Cambridge University Press
ISBN 13 : 1107162386
Total Pages : 545 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Towards Higher Mathematics: A Companion by : Richard Earl

Download or read book Towards Higher Mathematics: A Companion written by Richard Earl and published by Cambridge University Press. This book was released on 2017-09-07 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

Asymmetric Politics

Author : Matthew Grossmann
Publisher : Oxford University Press
ISBN 13 : 0190626607
Total Pages : 417 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Asymmetric Politics by : Matthew Grossmann

Download or read book Asymmetric Politics written by Matthew Grossmann and published by Oxford University Press. This book was released on 2016 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Republican Party is the vehicle of an ideological movement whereas the Democratic Party is a coalition of social groups with concrete policy concerns. Democrats prefer a more moderate party leadership that makes compromises, whereas Republicans favor a more conservative party leadership that sticks to principles. Each party finds popular support for its approach because the American public simultaneously favors liberal positions on specific policy issues and conservative views on the broader role of government.

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Author : Wendy M. Smith
Publisher : American Mathematical Soc.
ISBN 13 : 1470463776
Total Pages : 348 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning by : Wendy M. Smith

Download or read book Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning written by Wendy M. Smith and published by American Mathematical Soc.. This book was released on 2021-05-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?

The Mathematics of Voting and Apportionment

Author : Sherif El-Helaly
Publisher : Springer
ISBN 13 : 3030147681
Total Pages : 275 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Mathematics of Voting and Apportionment by : Sherif El-Helaly

Download or read book The Mathematics of Voting and Apportionment written by Sherif El-Helaly and published by Springer. This book was released on 2019-05-21 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics. The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrow’s theorems on dictatorship, Gibbard’s theorem on oligarchy, and Gärdenfors’ theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to “prove or disprove” types. The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications. No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity that enables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as “contrapositive” and “counterexample.”