Innovations in Teaching Abstract Algebra

Innovations in Teaching Abstract Algebra
Author: Allen C. Hibbard
Publisher: Mathematical Association of America (MAA)
Total Pages: 174
Release: 2002
Genre: Mathematics
ISBN:

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MAA Notes

MAA Notes
Author:
Publisher:
Total Pages: 536
Release: 1983
Genre: Mathematics
ISBN:

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Perspectives on Contemporary Statistics

Perspectives on Contemporary Statistics
Author: David Caster Hoaglin
Publisher: Mathematical Association of America (MAA)
Total Pages: 200
Release: 1992
Genre: Mathematics
ISBN:

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This book is a must for anyone who teaches statistics, particularly those who teach beginning statistics - mathematicians, social scientists, engineers - as well as graduate students and others new to the field. The authors focus on topics central to the teaching of statistics for beginners, and other expositions that are guided by the current state of statistical research and practice. Statistical practice has changed radically during the past generation under the impact of ever cheaper and more accessible computing power. Beginning instruction has lagged behind the evolution of the field. Software now enables students to shortcut unpleasant calculations, but this is only the most obvious consequences of changing statistical practice, the content and emphases of statistics instruction still needs much rethinking. This volume assembles nine new essays on important topics in present-day statistics at the college with various levels of mathematics preparation, and from diverse disciplinary backgrounds. Accordingly the chapters present modern perspectives on central aspects of statistics and emphasize the conceptual content that should accompany all varieties of beginning instruction. The books opens with a contemporary overview of statistics as the science of data - a view much broader than the "inference from data" emphasized by much traditional teaching. The next two chapters discuss the philosophy and some of the tools used in data analysis and describe the impact of computing on data analysis and inference and its implication for teaching. The book conlucdes with introductions to diagnostics and to the alternative approach embodied in resistent and robut procedures. -- from back cover.

International Handbook of Mathematics Education

International Handbook of Mathematics Education
Author: Alan Bishop
Publisher: Springer Science & Business Media
Total Pages: 1336
Release: 2012-12-06
Genre: Education
ISBN: 9400914652

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ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.

Visualization in Teaching and Learning Mathematics

Visualization in Teaching and Learning Mathematics
Author: Walter Zimmermann
Publisher: MAA Press
Total Pages: 242
Release: 1991
Genre: Mathematics
ISBN:

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The twenty papers in the book give an overview of research analysis, practical experience, and informed opinion about the role of visualization in teaching and learning mathematics, especially at the undergraduate level. Visualization, in its broadest level. Visualization, in its broadest sense, is as old as mathematics, but progress in computer graphics has generated a renaissance of interest in visual representations and visual thinking in mathematics.

The Long Crisis

The Long Crisis
Author: Benjamin Holtzman
Publisher: Oxford University Press
Total Pages: 336
Release: 2021-02-01
Genre: History
ISBN: 0190843713

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Across all the boroughs, The Long Crisis shows, New Yorkers helped transform their broke and troubled city in the 1970s by taking the responsibilities of city governance into the private sector and market, steering the process of neoliberalism. Newspaper headlines beginning in the mid-1960s blared that New York City, known as the greatest city in the world, was in trouble. They depicted a metropolis overcome by poverty and crime, substandard schools, unmanageable bureaucracy, ballooning budget deficits, deserting businesses, and a vanishing middle class. By the mid-1970s, New York faced a situation perhaps graver than the urban crisis: the city could no longer pay its bills and was tumbling toward bankruptcy. The Long Crisis turns to this turbulent period to explore the origins and implications of the diminished faith in government as capable of solving public problems. Conventional accounts of the shift toward market and private sector governing solutions have focused on the rising influence of conservatives, libertarians, and the business sector. Benjamin Holtzman, however, locates the origins of this transformation in the efforts of city dwellers to preserve liberal commitments of the postwar period. As New York faced an economic crisis that disrupted long-standing assumptions about the services city government could provide, its residents--organized within block associations, non-profits, and professional organizations--embraced an ethos of private volunteerism and, eventually, of partnership with private business in order to save their communities' streets, parks, and housing from neglect. Local liberal and Democratic officials came to see such alliances not as stopgap measures but as legitimate and ultimately permanent features of modern governance. The ascent of market-based policies was driven less by a political assault of pro-market ideologues than by ordinary New Yorkers experimenting with novel ways to maintain robust public services in the face of the city's budget woes. Local people and officials, The Long Crisis argues, built neoliberalism from the ground up, creating a system that would both exacerbate old racial and economic inequalities and produce new ones that continue to shape metropolitan areas today.

Current Practices in Quantitative Literacy

Current Practices in Quantitative Literacy
Author: Rick Gillman
Publisher: MAA
Total Pages: 200
Release: 2006
Genre: Education
ISBN: 0883851806

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Presents a wide sampling of efforts being made on campuses across the country to achieve our common goal of having a quantitatively literate citizenry.

Mathematics, Education and History

Mathematics, Education and History
Author: Kathleen M. Clark
Publisher: Springer
Total Pages: 389
Release: 2018-03-30
Genre: Education
ISBN: 3319739247

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This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.