Download or read book Art And Practice Of Mathematics The Interviews At The Institute For Mathematical Sciences National University Of Singapore 2010 2020 written by Yu Kiang Leong and published by World Scientific. This book was released on 2021-06-23 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists who visited the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute's newsletter Imprints during the period 2010-2020, they offer glimpses of an esoteric universe as viewed and experienced by some of the leading and creative practitioners of the craft of mathematics.The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.By briefly tracing the paths traveled by the pioneers of different national backgrounds, the interviews attempt to put a cultural face to an intellectual endeavor that is often perceived as dry and austere by the uninitiated. They should also interest those who are intrigued by the influence of the environment on the creative spirit, and, in particular, those who are interested in the psychology and history of ideas.
Download or read book The Art of Science written by Rossella Lupacchini and published by Springer. This book was released on 2014-07-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to linear perspective, complex numbers and probability were notable discoveries of the Renaissance. While the power of perspective, which transformed Renaissance art, was quickly recognized, the scientific establishment treated both complex numbers and probability with much suspicion. It was only in the twentieth century that quantum theory showed how probability might be molded from complex numbers and defined the notion of “complex probability amplitude”. From a theoretical point of view, however, the space opened to painting by linear perspective and that opened to science by complex numbers share significant characteristics. The Art of Science explores this shared field with the purpose of extending Leonardo’s vision of painting to issues of mathematics and encouraging the reader to see science as an art. The intention is to restore a visual dimension to mathematical sciences – an element dulled, if not obscured, by historians, philosophers, and scientists themselves.
Download or read book Mathematical Applications and Modelling written by Berinderjeet Kaur and published by World Scientific. This book was released on 2010 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies. The book, comprising of 17 chapters, illuminates how application and modelling tasks may help develop the capacity of students to use mathematics in their present and future lives. Several renowned international researchers in the field of mathematical modelling have published their work in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers. The book is an invaluable contribution towards the emerging field of research in mathematical applications and modelling. It is a must-read for graduate research students and mathematics educators.
Download or read book 10 Celebrating 10 Years of Mathematical Synergy written by Louis Hsiao Yun Chen and published by . This book was released on 2010 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Art and Mathematics written by and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cracking the code written by UNESCO and published by UNESCO Publishing. This book was released on 2017-09-04 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report aims to 'crack the code' by deciphering the factors that hinder and facilitate girls' and women's participation, achievement and continuation in science, technology, engineering and mathematics (STEM) education and, in particular, what the education sector can do to promote girls' and women's interest in and engagement with STEM education and ultimately STEM careers.
Download or read book Theory of Solidification written by Stephen H. Davis and published by Cambridge University Press. This book was released on 2001-10-08 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This book systematically presents the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.
Download or read book Mindset written by Carol S. Dweck and published by Ballantine Books. This book was released on 2007-12-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the renowned psychologist who introduced the world to “growth mindset” comes this updated edition of the million-copy bestseller—featuring transformative insights into redefining success, building lifelong resilience, and supercharging self-improvement. “Through clever research studies and engaging writing, Dweck illuminates how our beliefs about our capabilities exert tremendous influence on how we learn and which paths we take in life.”—Bill Gates, GatesNotes “It’s not always the people who start out the smartest who end up the smartest.” After decades of research, world-renowned Stanford University psychologist Carol S. Dweck, Ph.D., discovered a simple but groundbreaking idea: the power of mindset. In this brilliant book, she shows how success in school, work, sports, the arts, and almost every area of human endeavor can be dramatically influenced by how we think about our talents and abilities. People with a fixed mindset—those who believe that abilities are fixed—are less likely to flourish than those with a growth mindset—those who believe that abilities can be developed. Mindset reveals how great parents, teachers, managers, and athletes can put this idea to use to foster outstanding accomplishment. In this edition, Dweck offers new insights into her now famous and broadly embraced concept. She introduces a phenomenon she calls false growth mindset and guides people toward adopting a deeper, truer growth mindset. She also expands the mindset concept beyond the individual, applying it to the cultures of groups and organizations. With the right mindset, you can motivate those you lead, teach, and love—to transform their lives and your own.
Download or read book The Science of Learning and Development written by Pamela Cantor and published by Routledge. This book was released on 2021-06-21 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essential text unpacks major transformations in the study of learning and human development and provides evidence for how science can inform innovation in the design of settings, policies, practice, and research to enhance the life path, opportunity and prosperity of every child. The ideas presented provide researchers and educators with a rationale for focusing on the specific pathways and developmental patterns that may lead a specific child, with a specific family, school, and community, to prosper in school and in life. Expanding key published articles and expert commentary, the book explores a profound evolution in thinking that integrates findings from psychology with biology through sociology, education, law, and history with an emphasis on institutionalized inequities and disparate outcomes and how to address them. It points toward possible solutions through an understanding of and addressing the dynamic relations between a child and the contexts within which he or she lives, offering all researchers of human development and education a new way to understand and promote healthy development and learning for diverse, specific youth regardless of race, socioeconomic status, or history of adversity, challenge, or trauma. The book brings together scholars and practitioners from the biological/medical sciences, the social and behavioral sciences, educational science, and fields of law and social and educational policy. It provides an invaluable and unique resource for understanding the bases and status of the new science, and presents a roadmap for progress that will frame progress for at least the next decade and perhaps beyond.
Download or read book The Art of the Intelligible written by J. Bell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.
Download or read book Improving Education for Multilingual and English Learner Students written by and published by . This book was released on 2020-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Globalization and the Singapore Curriculum written by Zongyi Deng and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a multi-faceted and critical analysis of the Singapore curriculum in relation to globalization. First, it details reform initiatives established by the Singapore government to meet the challenges posed by globalization. Next, Globalization and the Singapore Curriculum presents how these reforms have been translated into programs, school subjects and operational frameworks and then examines, in turn, how well these have been implemented in schools and classrooms across the country. Through this examination, the book reveals how the initiatives, together with their curricular translation and classroom enactment, reflect on the one hand global features and tendencies and, on the other, distinct national traditions, concerns and practices. It brings to light a set of issues, problems and challenges that not only concern policymakers, educators and reformers in Singapore but also those in other countries as well. Written by curriculum scholars, policy analysts, researchers and teacher educators, Globalization and the Singapore Curriculum offers an up-to-date reference for postgraduate students, scholars and researchers in the areas of curriculum and instruction, comparative education, educational sociology, educational policy and leadership in Singapore, the Asia Pacific region and beyond. It also offers a vital contribution to the story of modern education around the globe: providing international students, scholars and researchers valuable insights into curriculum and curriculum reform for the 21st century.
Download or read book Assessment in Mathematics Education written by Christine Suurtamm and published by Springer. This book was released on 2016-07-07 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.
Download or read book Morality and Mathematics written by Justin Clarke-Doane and published by Oxford University Press. This book was released on 2020-03-12 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to being empirically justified than our moral beliefs. It is also incorrect that reflection on the genealogy of our moral beliefs establishes a lack of parity between the cases. In general, if one is a moral antirealist on the basis of epistemological considerations, then one ought to be a mathematical antirealist as well. And, yet, Clarke-Doane shows that moral realism and mathematical realism do not stand or fall together — and for a surprising reason. Moral questions, insofar as they are practical, are objective in a sense that mathematical questions are not, and the sense in which they are objective can only be explained by assuming practical anti-realism. One upshot of the discussion is that the concepts of realism and objectivity, which are widely identified, are actually in tension. Another is that the objective questions in the neighborhood of factual areas like logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Download or read book Several Complex Variables written by Michael Schneider and published by Cambridge University Press. This book was released on 1999 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Download or read book A Hierarchy of Turing Degrees written by Rod Downey and published by Princeton University Press. This book was released on 2020-06-16 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped degrees -- Embeddings of the 1-3-1 lattice -- Prompt permissions.
