Download or read book The Shape of a Life written by Shing-Tung Yau and published by Yale University Press. This book was released on 2019-02-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist

Download or read book ALTERNATIVE FORMS OF KNOWING IN MATHEMATICS written by Swapna Mukhopadhyay and published by Springer Science & Business Media. This book was released on 2012-12-28 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at:http://www.media.pdx.edu/dlcmedia/events/AFK/. Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.

Download or read book The First Sourcebook on Nordic Research in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2010-09-01 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.

Download or read book Trick or Truth written by Anthony Aguirre and published by Springer. This book was released on 2016-02-20 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Download or read book Handbook of Digital Resources in Mathematics Education written by Birgit Pepin and published by Springer Nature. This book was released on with total page 1405 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Handbook of Mathematics Teacher Education Volume 2 written by and published by BRILL. This book was released on 2008-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 2, Tools and Processes in Mathematics Teacher Education, focuses on the “how” of mathematics teacher education.

Download or read book International Perspectives on Teaching and Learning for Mathematical Literacy written by and published by BRILL. This book was released on 2024-10-10 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics plays an important role in today’s world and is used in daily life more than is often appreciated. Mathematical literacy denotes the competence to deal with the mathematical issues of life in modern society. The underlying purpose of this book is to support the development of rich understandings and practices of how an education for mathematical literacy can be realised. The collected works, emerging from several educational systems, offer a fresh perspective on mathematical literacy and the chapters include practical examples that teachers, pre-service teachers, and teacher educators might adapt to their own needs.

Download or read book Mathematics in Victorian Britain written by photographer and broadcaster Foreword by Dr Adam Hart-Davis and published by Oxford University Press. This book was released on 2011-09-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention. That spirit of creativity and ingenuity was reflected in the massive expansion in scope and complexity of many scientific disciplines during this time, with subjects evolving rapidly and the creation of many new disciplines. The subject of mathematics was no exception and many of the advances made by mathematicians during the Victorian period are still familiar today; matrices, vectors, Boolean algebra, histograms, and standard deviation were just some of the innovations pioneered by these mathematicians. This book constitutes perhaps the first general survey of the mathematics of the Victorian period. It assembles in a single source research on the history of Victorian mathematics that would otherwise be out of the reach of the general reader. It charts the growth and institutional development of mathematics as a profession through the course of the 19th century in England, Scotland, Ireland, and across the British Empire. It then focuses on developments in specific mathematical areas, with chapters ranging from developments in pure mathematical topics (such as geometry, algebra, and logic) to Victorian work in the applied side of the subject (including statistics, calculating machines, and astronomy). Along the way, we encounter a host of mathematical scholars, some very well known (such as Charles Babbage, James Clerk Maxwell, Florence Nightingale, and Lewis Carroll), others largely forgotten, but who all contributed to the development of Victorian mathematics.

Download or read book The Disorder of Mathematics Education written by Hauke Straehler-Pohl and published by Springer. This book was released on 2016-08-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research within a socio-political paradigm or “turn” has been gradually recognized and institutionalized as an important part of mathematics education. This book focuses on the neglected problems, tensions and contradictions evoked by this process. The authors do this by challenging current regimes of truth about mathematics education; by identifying how recent technological developments challenge or suspend contemporary conceptions of mathematics education; by critiquing the ideological entanglement of mathematics, its education and schooling with capitalism; by self-reflective analyses of researchers' impacts on shaping what is and can be perceived as the practice of mathematics education (research); and by confronting main-stream mathematics education with socio-political contexts that are usually neglected. In this way, "mathematical rationality" becomes contextualized within contemporary society, where it reproduces itself through technologies, social practices, media and other spheres of social life.

Download or read book Transnational and Borderland Studies in Mathematics Education written by Richard S. Kitchen and published by Routledge. This book was released on 2012-08-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every year, significant numbers of immigrant children from Mexico enter classrooms in the United States. These immigrants comprise a heterogeneous group of students with diverse needs, abilities, and experiences. Transnational and Borderland Studies in Mathematics Education is the first collection to offer research studies across these communities. Providing invaluable research on both sending and receiving communities in Mexico and the US, this collection considers the multiple aspects of children’s experiences with mathematics, including curriculum, classroom participation structures, mathematical reasoning and discourse – both in and out of school – and parents’ perceptions and beliefs about mathematics instruction. An important treatment of an insufficiently documented subject, this collection brings together researchers on both sides of the border to foster and support an interest in documenting evidence that will set the stage for future studies in mathematics education.

Download or read book Modelling and Applications in Mathematics Education written by Peter L. Galbraith and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

Download or read book Sociopolitical Dimensions of Mathematics Education written by Murad Jurdak and published by Springer. This book was released on 2018-01-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents and expands on the diverse social and political dimensions of mathematics education issues, concerns, perspectives, contexts, and approaches presented in Topic Study Group 34 of the 13th International Congress on Mathematical Education (ICME-13). The book also argues for and promotes the mainstreaming of the sociopolitical dimensions of mathematics education through an ongoing critique and inquiry into content, policies, practices and theories. Accordingly, the main theme throughout the book is captured and illuminated by bringing voices from the margin to the mainstream. In this respect it is both aspirational and a reality, as evidenced by the increasing references to the sociopolitical dimensions in other areas of mathematics education—for example, in several of the plenary presentations at the ICME-13. The authors have reflected on their ideas with a view to orienting and enhancing research in the sociopolitical dimensions of mathematics education that is grounded in current education systems within their specific sociocultural contexts.

Download or read book Critical Mathematics Education written by Ole Skovsmose and published by Springer Nature. This book was released on 2023-02-28 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Critical Mathematics Education provides Ole Skovsmose’s recent contribution to the further development of critical mathematics education. It gives examples of learning environments, which invite students to engage in investigative processes. It discusses how mathematics can be used for identifying cases of social injustice, and it shows how mathematics itself can become investigated critically. Critical Mathematics Education addresses issues with respect to racism, oppression, erosion of democracy, sustainability, formatting power of mathematics, and banality of mathematical expertise. It explores relationships between mathematics, ethics, crises, and critique. Ole Skovsmose has published what I might call his magnum opus, a 280-page synthesis and extension of his work simply called Critical Mathematics Education. In it he brings together his deep philosophical understanding and theorisation of mathematics itself, mathematics in society from a critical perspective, and mathematics in the teaching, learning and formation of students. For the mathematics education community, especially those concerned with social justice, philosophy, critical pedagogy and the nature of mathematics this is likely to be the publishing event of the year. In this book he offers something lacking in the literature, a philosophy of applied mathematics, as well as much more. Paul Ernest, Emeritus Professor, University of Exeter, UK

Download or read book Philosophy of Mathematics written by and published by Elsevier. This book was released on 2009-07-08 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics.-Comprehensive coverage of all main theories in the philosophy of mathematics-Clearly written expositions of fundamental ideas and concepts-Definitive discussions by leading researchers in the field-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included

Download or read book Quarterly Review of Distance Education written by Michael Simonson and published by IAP. This book was released on 2024-08-01 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quarterly Review of Distance Education is a rigorously refereed journal publishing articles, research briefs, reviews, and editorials dealing with the theories, research, and practices of distance education. The Quarterly Review publishes articles that utilize various methodologies that permit generalizable results which help guide the practice of the field of distance education in the public and private sectors. The Quarterly Review publishes full-length manuscripts as well as research briefs, editorials, reviews of programs and scholarly works, and columns. The Quarterly Review defines distance education as institutionally based, formal education, where the learning group is separated and where interactive technologies are used to unite the learning group.

Download or read book Critical Pedagogy and Cognition written by Curry Stephenson Malott and published by Springer Science & Business Media. This book was released on 2011-02-10 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book simultaneously contributes to the fields of critical pedagogy and educational psychology in new and innovative ways by demonstrating how critical pedagogy, postformal psychology, and Enlightenment science, seemingly separate and distinct disciplines, are actually part of the same larger, contextualized, complex whole from the inner most developmentally-fixed biological context of human faculties to the perpetually shifting, socially and politically constructed context of individual schema and human civilization. The text’s uniqueness stems from its bold attempt to connect the postformal critical constructivist/pedagogy work of Joe Kincheloe and others to Western science through a shared, although previously misunderstood, critique and rejection of crude forms of social control, which the psychologists call behaviorism and Western scientists identify as mechanical philosophy. This book therefore argues that critical pedagogy— which includes, among others, anarchist, Marxist, feminist, Indigenous (globally conceived), Afro-Caribbean/American, and postmodern traditions—and critical/constructivist educational psychology have much to gain by engaging previously rejected work in critical solidarity, that is, without compromising one’s values or democratic commitments. The goal of this book is therefore to contribute to this vision of developing a more transgressive and transformational educational psychology.

Download or read book Early mathematics counts written by Yasmin A Sitabkhan and published by RTI Press. This book was released on 2018-07-23 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This occasional paper examines common instructional strategies in early-grade mathematics interventions through a review of studies in classrooms in low- and middle-income countries. Twenty-four studies met the criteria for inclusion, and analyses reveal four sets of instructional strategies for which there is evidence from multiple contexts. Of the 24 studies, 16 involved the use of multiple representations, 10 involved the use of developmental progressions, 6 included supporting student use of explanation and justification, and 5 included integration of informal mathematics. Based on the review, we provide conclusions and recommendations for future research and policy