Mathematics in Society and History

Sociological Inquiries

Author: S. Restivo

Publisher: Springer Science & Business Media

ISBN: 9781402000393

Category: Education

Page: 202

View: 1776

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.
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Mathematics in Life, Society, and the World

Author: Harold R. Parks

Publisher: N.A

ISBN: 9780130116901

Category: Mathematics

Page: 814

View: 7165

This contemporary approach to liberal arts math breaks away from traditional instruction and moves towards a more “modern” course that stresses rich ideas, little review, and more visualization. This readerfriendly book offers an accessible writing style and mathematical integrity. Its unique three-part organization (Life, Society, the World) presents readers with sound, relevant mathematics, leaving them with the (correct) impression that math is useful and affects their lives in many positive ways. Mathematical Structures and Methods. Descriptive Statistics. Collecting and Interpreting Data. Inferential Statistics. Probability. Consumer Mathematics. Management Mathematics. Critical Thinking, Logical Reasoning, and Problem Solving. Geometry. Growth and Scaling. For anyone who needs to learn or review basic math concepts and practical applications.
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New Mathematics Education Research and Practice

Author: Jürgen Maass,Wolfgang Schlöglmann

Publisher: Sense Publishers

ISBN: 9077874747

Category: Education

Page: 315

View: 5251

Mathematics education research has blossomed into many different areas, which we can see in the programmes of the ICME conferences, as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with the complexity of the same process of learning mathematics. Although our knowledge of the process is through fragmentation of research more extensive and deeper there is a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview on what is going on and what are the main results and questions what are important books or papers if further information is needed.
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Kolmogorov in Perspective

Author: American Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 0821829181

Category: Mathematics

Page: 230

View: 7785

The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's works--including the articles written for encyclopedias and newspapers. The book is illustrated with photographs and includes quotations from Kolmogorov's letters and conversations, uniquely reflecting his mathematical tastes and opinions.
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Developing Mathematics in Third World Countries

Proceedings of the international conference held in Khartoum, March 6-9, 1978

Author: N.A

Publisher: Elsevier

ISBN: 9780080871448

Category: Mathematics

Page: 206

View: 4314

Developing Mathematics in Third World Countries
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Unity and Disunity and Other Mathematical Essays

Author: Philip J. Davis

Publisher: American Mathematical Soc.

ISBN: 1470420236

Category: General -- General and miscellaneous specific topics -- Philosophy of mathematics

Page: 149

View: 1663

This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public. Philip Davis is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics. Currently a Professor Emeritus from the Division of Applied Mathematics at Brown University, Davis is known for his books both in the areas of computational mathematics and approximation theory and for books exploring certain questions in the philosophy of mathematics and the role of mathematics in society.
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Critical Issues in Mathematics Education

Author: Bharath Sriraman,Paul Ernest,Brian Greer

Publisher: IAP

ISBN: 1607522187

Category: Mathematics

Page: 503

View: 1093

The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.
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Société Mathématique Suisse

Author: Bruno Colbois,Christine Riedtmann,Viktor Schroeder

Publisher: European Mathematical Society

ISBN: 9783037190890

Category: Mathematics

Page: 517

View: 3758

Evocation de l'initiative de Georges de Rham de se réunir dès 1958 dans les locaux de l'EPUL, à l'avenue de Cour en fin de volume mais également par la contribution de Srishti Chatterji and Manuel Ojanguren, A glimpse of the de Rham era (p. 195-240).
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Slippery Math In Public Affairs

Price Tag And Defense

Author: William J. Adams

Publisher: CRC Press

ISBN: 0824743814

Category: Political Science

Page: 240

View: 9280

An examination of the flawed usage of math in public affairs through actual cases of how mathematical data and conclusions can be distorted and misrepresented to influence public opinion.
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Proceedings of the Tunisian Mathematical Society

Author: K. Trimeche,S. Zarati

Publisher: Nova Publishers

ISBN: 9781600210143

Category: Mathematics

Page: 161

View: 7512

These proceedings consist of ten carefully refereed and selected papers which were presented at the 12th symposium of Tunisian Mathematical Society held on March 18-23, 2004 in Mahdia (Tunisia). This symposium was one of the largest international meeting on Mathematics in Tunisia. A total of 200 participants from several countries attended to the meeting. In addition to the plenary, invited and contributed talks, there was a panel discussion on future research directions and problems in various areas of mathematics.
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A Mathematical View of Our World

Author: Harold Parks,Gary Musser,Lynn Trimpe,Vikki Maurer,Roger Maurer

Publisher: Cengage Learning

ISBN: 0495010618

Category: Mathematics

Page: 1000

View: 5633

A MATHEMATICAL VIEW OF OUR WORLD helps students understand and harness the power of mathematics in their present studies and future careers. Designed for a liberal arts mathematics course that has a strong focus on applications, this student-friendly textbook helps students see the beauty and power of mathematics as it is applied to the world around them. Recognizing that quantitative literacy is essential in an increasing number of professional fields as well as in the daily decision-making and communication of informed citizens, the book develops students’ mathematical self-confidence and prepares them to use mathematics in the future. In writing the book, the authors endeavored to be faithful to the recommendations of such professional mathematics associations as the MAA, AMATYC, and NCTM. Overall, students will recognize the connections, patterns, and significance of the mathematics they study, and see that mathematics has a meaningful place in their lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Math Worlds

Philosophical and Social Studies of Mathematics and Mathematics Education

Author: Sal P. Restivo

Publisher: SUNY Press

ISBN: 9780791413296

Category: Mathematics

Page: 292

View: 1012

An international group of distinguished scholars brings a variety of resources to bear on the major issues in the study and teaching of mathematics, and on the problem of understanding mathematics as a cultural and social phenomenon. All are guided by the notion that our understanding of mathematical knowledge must be grounded in and reflect the realities of mathematical practice. Chapters on the philosophy of mathematics illustrate the growing influence of a pragmatic view in a field traditionally dominated by platonic perspectives. In a section on mathematics, politics, and pedagogy, the emphasis is on politics and values in mathematics education. Issues addressed include gender and mathematics, applied mathematics and social concerns, and the reflective and dialogical nature of mathematical knowledge. The concluding section deals with the history and sociology of mathematics, and with mathematics and social change. Contributors include Philip J. Davis, Helga Jungwirth, Nel Noddings, Yehuda Rav, Michael D. Resnik, Ole Skovsmose, and Thomas Tymoczko.
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Rethinking Mathematics

Teaching Social Justice by the Numbers

Author: Eric Gutstein

Publisher: Rethinking Schools

ISBN: 0942961544

Category: Education

Page: 179

View: 2836

A collection of more than thirty articles shows teachers how to weave social justice principles throughout the math curriculum, and how to integrate social justice math into other curricular areas as well.
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Weaving Self-evidence

A Sociology of Logic

Author: Claude Rosental

Publisher: Princeton University Press

ISBN: 9780691139401

Category: Mathematics

Page: 294

View: 1443

The development of theorems in logic is generally thought to be a solitary and purely cerebral activity, and therefore unobservable by sociologists. In Weaving Self-Evidence, French sociologist Claude Rosental challenges this notion by tracing the history of one well-known recent example in the field of artificial intelligence--a theorem on the foundations of fuzzy logic. Rosental's analyses disclose the inherently social nature of the process by which propositions in logic are produced, disseminated, and established as truths. Rosental describes the different phases of the emergence of the theorem on fuzzy logic, from its earliest drafts through its publication and diffusion, discussion and reformulation, and eventual acceptance by the scientific community. Through observations made at major universities and scholarly conferences, and in electronic forums, he looks at the ways students are trained in symbolic manipulations and formal languages and examines how researchers work, interact, and debate emerging new ideas. By carefully analyzing the concrete mechanisms that lead to the collective development and corroboration of proofs, Rosental shows how a logical discovery and its recognition within the scholarly community are by no means the product of any one individual working in isolation, but rather a social process that can be observed and studied. Weaving Self-Evidence will interest students and researchers in sociology and the history and philosophy of science and technology, and anyone curious about how scientists work.
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Discrete Mathematics in the Schools

Author: Joseph G. Rosenstein

Publisher: American Mathematical Soc.

ISBN: 9780821885789

Category: Mathematics

Page: 452

View: 881

This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.
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New Perspectives in Mathematical Biology

Author: Society for Mathematical Biology. Conference

Publisher: American Mathematical Soc.

ISBN: 0821848453

Category: Mathematics

Page: 134

View: 2006

In the 21st century, the interdisciplinary field of mathematical biology and medicine has firmly taken center stage as one of the major themes of modern applied mathematics, with strong links to the empirical biomedical sciences. New Perspectives in Mathematical Biology provides an overview of the distinct variety and diversity of current research in the field. In every chapter of this book, which covers themes ranging from cancer modeling to infectious diseases to orthopaedics and musculoskeletal tissue mechanics, there is clear evidence of the strong connections and interactions of mathematics with the biological and biomedical sciences that have spawned new models and novel insights. This book is loosely based on the plenary lectures delivered by some of the leading authorities on these subjects at the Society for Mathematical Biology (SMB) Conference that was held in Toronto in 2008 and will be of interest to graduate students, postdoctoral fellows, and researchers currently engaged in this field, bringing the reader to the forefront of current research.
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Infinitesimal

Author: Amir Alexander

Publisher: Oneworld Publications

ISBN: 1780745338

Category: Science

Page: 368

View: 2873

On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.
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Sociocultural Research on Mathematics Education

An International Perspective

Author: Bill Atweh,Helen Forgasz,Ben Nebres

Publisher: Routledge

ISBN: 1135653119

Category: Education

Page: 480

View: 7507

This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.
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Social Workers Count

Numbers and Social Issues

Author: Michael Anthony Lewis

Publisher: Oxford University Press, USA

ISBN: 0190467134

Category: Social Science

Page: 224

View: 9660

Social work students are often required to take courses in the domain of quantitative literacy, but struggle with the relative inattention to policy and social issues of special significance to professional social workers. These courses, as well as the books written for them, may also present mathematical demands many social workers are unprepared to meet. However, issues such as poverty measurement, adjustment of the purchasing power of social welfare benefits, demographic strains on the Social Security program, and probability theory as a means of estimating the likelihood of child abuse or neglect represent only a few of the many quantitative problems related to the concerns of professional social workers. Written in an accessible style, Social Workers Count provides social workers and those in neighboring disciplines with the background necessary to engage the quantitative aspects of policy and social issues relevant to social work.
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