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This anthology focuses on three areas in the theory of knowledge: epistemic justification; analyses of knowledge and scepticism; and recent developments in epistemology. Each of the three sections includes a brief introduction to the readings, a series of study questions, and a list of suggested readings. Section 1 deals with coherentism, foundationalism, reliabilism, and includes articles by Chisholm, BonJour, Audi, Goldman, and Fumerton. Section 2 deals with the analysis of knowledge and Gettier problems, and a variety of forms and responses to scepticism; it includes articles by Gettier, Conee, Feldman, Putnam, Nagel, and Stroud. Section 3 introduces the reader to recent developments in naturalized, feminist, and social epistemology, and includes articles by Quine, Almeder, Putnam, Anderson, Harding, Longino, Hardwig, Rorty, and Kitcher.
Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
The diversity of research in mathematics education has been addressed as both, a problem and a strength. When manifested through adherence to different intellectual roots and theoretical orientations, diversions constitute ‘refractions’ of mathematics education. The collection and analysis of empirical data in a study are by necessity refracted through the specific analytical lens employed, as well as the aim of the study itself. Refractions can also refer to looking at old phenomena through new lenses. The chapters in this book are refracted through philosophical, political, mathematical and personal lenses by distinguished authors in the field, addressing issues about the elusive exper...
This book aims to develop theoretical frameworks of the phenomena of internationalisation and globalisation and identify related ethical, moral, political and economic issues facing mathematics and science educators. It provides a wide representation of views some of which are not often represented in international publications. This is the first book to deal with issues of globalisation and internationalisation in mathematics and science education.
Based primarily on a conference, this book examines the need for interventions to increase the number of U.S. students, both males and females, pursuing careers in the sciences and engineering and describes interventions supported by the private and public sectors at the undergraduate and graduate levels of education. The individually authored chapters also describe actions taken by employers of scientists and engineers to retain their technical work force.
This text provides a critical overview of current thinking about equity issues in the teaching and learning of mathematics. Grounded in feminist theories of curriculum change and a broad range of cultural perspectives, the new approaches described here go beyond "special programmes" and "experimental treatments" designed to correct perceived problems and deficits. Instead they establish how improved instructional practices and a fuller understanding of the nature of the mathematical enterprise can overcome the systemic obstacles that have thwarted women's participation in this important field.; This book will appeal to all those who are interested in the mathematical education of women, including teachers, parents, administrators and researchers.
Clinical Simulations as Signature Pedagogy explores the use of live-actor simulations as an engaging training tool to better prepare educational professionals for school-wide challenges. In this volume, editors Benjamin H. Dotger and Kelly Chandler-Olcott present a persuasive overview of this effective method of professional development and show how it resonates with other practice-based initiatives. Through original case studies, the book’s contributors demonstrate how live-actor simulations serve as valuable assets in the training of teachers, school counselors, and school leaders. They show how simulations provide a safe shared-learning environment that closely approximates authentic pr...
An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.
In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.