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The Prime Number Conspiracy

The Prime Number Conspiracy PDF Author: Thomas Lin
Publisher: MIT Press
ISBN: 0262536358
Category : Mathematics
Languages : en
Pages : 331

Book Description
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine

The Prime Number Conspiracy

The Prime Number Conspiracy PDF Author: Thomas Lin
Publisher: MIT Press
ISBN: 0262536358
Category : Mathematics
Languages : en
Pages : 331

Book Description
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine

Directed Self-placement

Directed Self-placement PDF Author: Daniel Royer
Publisher: Hampton Press (NJ)
ISBN:
Category : Advanced placement programs (Education)
Languages : en
Pages : 280

Book Description
This guide offers updated shopping tips to people visiting China. It explains what to buy (from porcelain, jade and pearls to silk, antiques, carpets and custom-tailored clothing), how to deal with local merchants and get the best prices, and where to find the best stores, markets and shopping districts - all in a handy pocket-sized format. It also provides tips on finding airfare, hotel and dining bargains.

Learning Online

Learning Online PDF Author: Barbara Means
Publisher: Routledge
ISBN: 113621657X
Category : Education
Languages : en
Pages : 373

Book Description
At a time when more and more of what people learn both in formal courses and in everyday life is mediated by technology, Learning Online provides a much-needed guide to different forms and applications of online learning. This book describes how online learning is being used in both K-12 and higher education settings as well as in learning outside of school. Particular online learning technologies, such as MOOCs (massive open online courses), multi-player games, learning analytics, and adaptive online practice environments, are described in terms of design principles, implementation, and contexts of use. Learning Online synthesizes research findings on the effectiveness of different types of online learning, but a major message of the book is that student outcomes arise from the joint influence of implementation, context, and learner characteristics interacting with technology--not from technology alone. The book describes available research about how best to implement different forms of online learning for specific kinds of students, subject areas, and contexts. Building on available evidence regarding practices that make online and blended learning more effective in different contexts, Learning Online draws implications for institutional and state policies that would promote judicious uses of online learning and effective implementation models. This in-depth research work concludes with a call for an online learning implementation research agenda, combining education institutions and research partners in a collaborative effort to generate and share evidence on effective practices.

Redesigning America’s Community Colleges

Redesigning America’s Community Colleges PDF Author: Thomas R. Bailey
Publisher: Harvard University Press
ISBN: 0674368282
Category : Education
Languages : en
Pages : 301

Book Description
In the United States, 1,200 community colleges enroll over ten million students each year—nearly half of the nation’s undergraduates. Yet fewer than 40 percent of entrants complete an undergraduate degree within six years. This fact has put pressure on community colleges to improve academic outcomes for their students. Redesigning America’s Community Colleges is a concise, evidence-based guide for educational leaders whose institutions typically receive short shrift in academic and policy discussions. It makes a compelling case that two-year colleges can substantially increase their rates of student success, if they are willing to rethink the ways in which they organize programs of study, support services, and instruction. Community colleges were originally designed to expand college enrollments at low cost, not to maximize completion of high-quality programs of study. The result was a cafeteria-style model in which students pick courses from a bewildering array of choices, with little guidance. The authors urge administrators and faculty to reject this traditional model in favor of “guided pathways”—clearer, more educationally coherent programs of study that simplify students’ choices without limiting their options and that enable them to complete credentials and advance to further education and the labor market more quickly and at less cost. Distilling a wealth of data amassed from the Community College Research Center (Teachers College, Columbia University), Redesigning America’s Community Colleges offers a fundamental redesign of the way two-year colleges operate, stressing the integration of services and instruction into more clearly structured programs of study that support every student’s goals.

Developmental Education

Developmental Education PDF Author: Hunter R. Boylan
Publisher: Bedford/St. Martin's
ISBN: 9781457630811
Category : Language Arts & Disciplines
Languages : en
Pages : 0

Book Description
Developmental Education: Readings on Its Past, Present, and Future offers twenty-two selections on historical efforts to serve underprepared students, on the state of developmental education today, and on innovative practices and possible directions for the future. Compiled by Hunter R. Boylan, Director of the National Center for Developmental Education (NCDE) and a professor of Higher Education at Appalachian State University, and Barbara S. Bonham, a professor in the Department of Leadership and Educational Studies at Appalachian State University, each chapter also includes introductions and questions for discussion and reflection.

Supporting Online Students

Supporting Online Students PDF Author: Anita Crawley
Publisher: John Wiley & Sons
ISBN: 1118192842
Category : Education
Languages : en
Pages : 170

Book Description
Supporting Online Students shows how effective and efficiently delivered support services improve academic success and course retention for online learners. Drawing on a decade's worth of research, Anita Crawley describes the scope of services from admissions and registration to advising and student engagement. The book includes guidelines and standards, planning and implementation, innovative practices, and describes specialized services needed by particular online student groups. "Effective student support is the single most important factor in sustaining high-quality online learning programs. Anita Crawley presents the most effective guide to achieving that success. Her book is a blueprint for building thriving online programs through comprehensive student support." Ray Schroeder, director, Center for Online Learning, Research and Service, University of Illinois Springfield "As distance learning continues to grow, this book addresses the often neglected other side of the coin: online student services. This book provides a great introduction and overview of the research, literature, and innovative practices for planning, implementing, and evaluating support services for online learners." George Steele, director, eStudent Services, OhioLearns "Anita Crawley has crafted a splendid volume on a topic of increasing importance in contemporary higher education. Her book promises to be the foundational piece for those who work with students in an online environment. Her thinking and analysis are superb and undoubtedly will provide the basis upon which to develop online programs and services in the future." John H. Schuh, Distinguished Professor of Educational Leadership and Policy Studies Emeritus, Iowa State University "Bringing together extensive examples of innovative practices, summaries of current research, and a wealth of experience in student services, Anita Crawley's comprehensive guide to supporting online students is a rich resource for institutions with existing, growing, or new online programs. Diane J. Goldsmith, former executive director, Connecticut Distance Learning Consortium

The Important Role of Institutional Data in the Development of Academic Programming in Higher Education

The Important Role of Institutional Data in the Development of Academic Programming in Higher Education PDF Author: Sydney Freeman, Jr.
Publisher: John Wiley & Sons
ISBN: 1119301017
Category : Education
Languages : en
Pages : 107

Book Description
Institutional data is one of the important aspects that informs the development and sustainability of academic programming within the academy. Centrality of institutional data is key when making decisions related to a range of academic programs. This volume addresses with both depth and breadth: various types of academic programing (i.e. academic degrees, research centers/institutes), diverse institutional types including community colleges, doctoral/research universities, minority-serving and for-profit institutions, and concrete examples and steps regarding how to utilize institutional data to improve academic planning and development. This is the 168th volume of this Jossey-Bass quarterly report series. Timely and comprehensive, New Directions for Institutional Research provides planners and administrators in all types of academic institutions with guidelines in such areas as resource coordination, information analysis, program evaluation, and institutional management.

After Admission

After Admission PDF Author: James E. Rosenbaum
Publisher: Russell Sage Foundation
ISBN: 1610444787
Category : Education
Languages : en
Pages : 281

Book Description
Enrollment at America's community colleges has exploded in recent years, with five times as many entering students today as in 1965. However, most community college students do not graduate; many earn no credits and may leave school with no more advantages in the labor market than if they had never attended. Experts disagree over the reason for community colleges' mixed record. Is it that the students in these schools are under-prepared and ill-equipped for the academic rigors of college? Are the colleges themselves not adapting to keep up with the needs of the new kinds of students they are enrolling? In After Admission, James Rosenbaum, Regina Deil-Amen, and Ann Person weigh in on this debate with a close look at this important trend in American higher education. After Admission compares community colleges with private occupational colleges that offer accredited associates degrees. The authors examine how these different types of institutions reach out to students, teach them social and cultural skills valued in the labor market, and encourage them to complete a degree. Rosenbaum, Deil-Amen, and Person find that community colleges are suffering from a kind of identity crisis as they face the inherent complexities of guiding their students towards four-year colleges or to providing them with vocational skills to support a move directly into the labor market. This confusion creates administrative difficulties and problems allocating resources. However, these contradictions do not have to pose problems for students. After Admission shows that when colleges present students with clear pathways, students can effectively navigate the system in a way that fits their needs. The occupational colleges the authors studied employed close monitoring of student progress, regular meetings with advisors and peer cohorts, and structured plans for helping students meet career goals in a timely fashion. These procedures helped keep students on track and, the authors suggest, could have the same effect if implemented at community colleges. As college access grows in America, institutions must adapt to meet the needs of a new generation of students. After Admission highlights organizational innovations that can help guide students more effectively through higher education.

Perspectives on Mathematics

Perspectives on Mathematics PDF Author: Dennis Almeida
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 112

Book Description


College Knowledge

College Knowledge PDF Author: David T. Conley
Publisher: John Wiley & Sons
ISBN: 0787996750
Category : Education
Languages : en
Pages : 384

Book Description
Although more and more students have the test scores and transcripts to get into college, far too many are struggling once they get there. These students are surprised to find that college coursework demands so much more of them than high school. For the first time, they are asked to think deeply, write extensively, document assertions, solve non-routine problems, apply concepts, and accept unvarnished critiques of their work. College Knowledge confronts this problem by looking at the disconnect between what high schools do and what colleges expect and proposes a solution by identifying what students need to know and be able to do in order to succeed. The book is based on an extensive three-year project sponsored by the Association of American Universities in partnership with The Pew Charitable Trusts. This landmark research identified what it takes to succeed in entry-level university courses. Based on the project's findings - and interviews with students, faculty, and staff - this groundbreaking book delineates the cognitive skills and subject area knowledge that college-bound students need to master in order to succeed in today's colleges and universities. These Standards for Success cover the major subject areas of English, mathematics, natural sciences, social sciences, second languages, and the arts.