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Numbers Rule

Numbers Rule
Author: George Szpiro
Publisher: Princeton University Press
Total Pages: 240
Release: 2020-11-03
Genre: History
ISBN: 0691209081

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The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.


Values and Valuing in Mathematics Education

Values and Valuing in Mathematics Education
Author: Philip Clarkson
Publisher: Springer
Total Pages: 222
Release: 2019-04-24
Genre: Education
ISBN: 3030168921

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This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but also students’ interactions with their cultural setting and each other. The book brings together the work of world leaders and new thinkers in mathematics educational research to improve the learning and teaching of mathematics. Addressing themes such as discovering hidden cultural values, a multicultural society and methodological issues in the investigation of values in mathematics, it stimulates readers to consider these topics in cross-cultural ways, and offers suggestions for research and classroom practice. It is a valuable resource for scholars of mathematics education, from early childhood through to higher education and an inspiring read for all mathematics teachers.


The United States Democratic Review

The United States Democratic Review
Author:
Publisher:
Total Pages: 568
Release: 1840
Genre: United States
ISBN:

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Vols. 1-3, 5-8 contain the political and literary portions; v. 4 the historical register department, of the numbers published from Oct. 1837 to Dec. 1840.


The Democratic Differentiated Classroom

The Democratic Differentiated Classroom
Author: Sheryn Spencer-Waterman
Publisher: Routledge
Total Pages: 136
Release: 2013-09-27
Genre: Education
ISBN: 1317922735

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This book provides tips and strategies which unify two popular and effective trends - the differentiated classroom, in which teachers align their instruction to meet the needs of individual students. - the democratic classroom, in which students are intrinsically motivated to learn because they are given chances to make choices.


Case and Comment

Case and Comment
Author:
Publisher:
Total Pages: 1106
Release: 1917
Genre: Law
ISBN:

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Wittgenstein and Democratic Politics

Wittgenstein and Democratic Politics
Author: Lotar Rasiński
Publisher: Taylor & Francis
Total Pages: 343
Release: 2024-10-28
Genre: Philosophy
ISBN: 1040188850

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This volume demonstrates how Wittgenstein’s philosophy can illuminate our understanding of politics and open new ways of conceptualizing democratic theory and practice. Its focus is on language, reason and communication as central to identifying present confusions in our understanding of democracy. The book seeks to engage Wittgenstein’s philosophical insights, aiming to go beyond the dichotomous oppositions and conceptual entanglements pervading existing frameworks of social and political theories of democracy. Its key topic is the irreplaceable role of dialogue in civic democratic engagement as a condition for the understanding of self and others and, hence, for political life in which reason has a role. Indeed, it presents concrete examples of how Wittgenstein can be constructively applied to current political discourse. Part I of the volume focuses on the general idea of applying Wittgenstein’s philosophy to political and democratic theory and explains the deep and intrinsic relation between Wittgenstein’s thought and politics. Part II discusses Wittgenstein’s concrete concepts as illuminating for understanding selected aspects of democratic politics. Part III deals with a possible exchange between Wittgenstein and other political thinkers, especially Hannah Arendt. Wittgenstein and Democratic Politics will appeal to researchers and advanced students working on Wittgenstein’s philosophy, political philosophy and democratic theory.