The Use of Mathematical Concepts in the Construction of Sociological Theories PDF Download

Author: Murray Albert Beauchamp
Publisher:
ISBN:
Category :
Languages : en
Pages : 200

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Author: Thomas J. Fararo
Publisher: Taylor & Francis
ISBN: 9780677166353
Category : Mathematics
Languages : en
Pages : 196

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First Published in 1984. Routledge is an imprint of Taylor & Francis, an informa company.

Author: S. Restivo
Publisher: Springer Science & Business Media
ISBN: 9401129444
Category : Science
Languages : en
Pages : 215

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Book Description
This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

Author: Paul Ernest
Publisher: SUNY Press
ISBN: 9780791435878
Category : Philosophy
Languages : en
Pages : 336

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Book Description
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.

Author: Dr.Nivetha Martin
Publisher: SK Research Group of Companies
ISBN: 8119980948
Category : Mathematics
Languages : en
Pages : 147

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Book Description
Dr.Nivetha Martin, Assistant Professor, Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, Madurai, Tamil Nadu, India. Dr.G.Hannah Grace, Senior Assistant Professor, Department of Mathematics, Vellore Institute of Technology, Chennai, Tamil Nadu, India. Dr.N.Ramila Gandhi, Associate Professor, Department of Mathematics, PSNA College of Engineering and Technology (Autonomous), Dindigul, Tamil Nadu, India. Dr.P.Pandiammal, Assistant Professor, Department of Mathematics, G.T.N. Arts College (Autonomous), Dindigul, Tamil Nadu, India.

Author: Uwe Gellert
Publisher: Springer
ISBN: 3319790455
Category : Education
Languages : en
Pages : 343

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Book Description
This volume is a forward–looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education. The first perspective has generated a substantial body of knowledge in the mathematics education. Interactionist research has deepened our understanding of interaction processes, socio-mathematical norms and the negotiation of meaning, generating a ‘micro-sociology’ or a ‘micro-ethnography’ of the mathematics classroom. More recently, socio-political perspectives on mathematics education interrelate educational practices in mathematics with macro-social issues of social equity, class, and race and with the policies that regulate institutionalized mathematics education. This book documents, strings together and juxtaposes research that uses ethnographical classroom data to explain, on the one hand, how socio-political issues play out in the mathematics class. On the other hand, it illuminates how class, race etc. affect the micro-sociology of the mathematics classroom. The volume advances the knowledge in the field by providing an empirical grounding of socio-political research on mathematics education, and it extends the frame in which mathematical classroom cultures are conceived.

Author: James Jaccard
Publisher: Guilford Publications
ISBN: 1462542441
Category : Business & Economics
Languages : en
Pages : 545

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"This book provides young scientists with tools to assist them in the practical aspects of theory construction. We take an informal journey through the cognitive heuristics, tricks of the trade, and ways of thinking that we have found to be useful in developing theories-essentially, conceptualizations-that can advance knowledge in the social sciences. This book is intended to provide the instructor with a useful source for helping students come up with ideas for research and for fine-tuning the resultant theories that emerge from such thinking. An objective of this book is to move toward a needed balance in the emphases given to theory construction and theory testing"--

Author: Hubert M. Blalock
Publisher: Englewood Cliffs, N.J. : Prentice-Hall
ISBN:
Category : Social Science
Languages : en
Pages : 200

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Author: Heinz Steinbring
Publisher: Springer Science & Business Media
ISBN: 0387242538
Category : Education
Languages : en
Pages : 242

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Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.

Author: Jürgen Klüver
Publisher: Springer Science & Business Media
ISBN: 9401595704
Category : Philosophy
Languages : en
Pages : 297

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Book Description
When I started with this book several years ago I originally intended to write an introduction to mathematical systems theory for social scientists. Yet the more I thought about systems theory on the one side and theoretical sociology on the other the more I became convinced that the classical mathematical tools are not very well suited for the problems of sociology. Then I became acquainted with the researches on complex systems by the Santa Fe Institute and in particular with cellular automata, Boolean networks and genetic algorithms. These mathematically very simple but extremely efficient tools are, in my opinion, very well appropriate for modeling social dynamics. Therefore I tried to reformulate several classical problems of theoretical sociology in terms of these formal systems and outline new possibilities for a mathematical sociology which is able to join immediately on the great traditions of theoretical sociology. The result is this book; whether I succeeded with it is of course up to the readers. As the readers will perceive, the book could not have been written by me alone but only by the joint labors of the computer group at the Interdisciplinary Center of Research in Higher Education at the University of Essen. The members of the group, Christina Stoica, Jom Schmidt and Ralph Kier, are named in several subchapters as co-authors. Yet even more important than their contributions to this book were the permanent discussions with them and their patience with my new and very speculative ideas. Many thanks.