Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

    It is a book that brought Ivan Illich to public attention. Full of detail on programs and concerns, the book gives examples of the ineffectual nature of institutionalized education. Illich posited self-directed education, supported by intentional social relations in fluid informal arrangements.

    In Physics of the Impossible, the renowned physicist Michio Kaku explores to what extent the technologies and devices of science fiction that are deemed equally impossible today might well become commonplace in the future.From teleportation to telekinesis, Kaku uses the world of science fiction to explore the fundamentals—and the limits—of the laws of physics as we know them today. He ranks the impossible technologies by categories—Class I, II, and III, depending on when they might be achieved, within the next century, millennia, or perhaps never. In a compelling and thought-provoking narrative, he explains:· How the science of optics and electromagnetism may one day enable us to bend light around an object, like a stream flowing around a boulder, making the object invisible to observers “downstream”· How ramjet rockets, laser sails, antimatter engines, and nanorockets may one day take us to the nearby stars· How telepathy and psychokinesis, once considered pseudoscience, may one day be possible using advances in MRI, computers, superconductivity, and nanotechnology· Why a time machine is apparently consistent with the known laws of quantum physics, although it would take an unbelievably advanced civilization to actually build oneKaku uses his discussion of each technology as a jumping-off point to explain the science behind it. An extraordinary scientific adventure, Physics of the Impossible takes readers on an unforgettable, mesmerizing journey into the world of science that both enlightens and entertains.

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    Today millions of students, parents, and teachers use the Khan Academy's free videos and software, which have expanded to encompass nearly every conceivable subject; and Academy techniques are being employed with exciting results in a growing number of classrooms around the globe.Like many innovators, Khan rethinks existing assumptions and imagines what education could be if freed from them. And his core idea-liberating teachers from lecturing and state-mandated calendars and opening up class time for truly human interaction-has become his life's passion. Schools seek his advice about connecting to students in a digital age, and people of all ages and backgrounds flock to the site to utilize this fresh approach to learning.In THE ONE WORLD SCHOOLHOUSE, Khan presents his radical vision for the future of education, as well as his own remarkable story, for the first time. In these pages, you will discover, among other things:* How both students and teachers are being bound by a broken top-down model invented in Prussia two centuries ago* Why technology will make classrooms more human and teachers more important* How and why we can afford to pay educators the same as other professionals* How we can bring creativity and true human interactivity back to learning* Why we should be very optimistic about the future of learning.Parents and politicians routinely bemoan the state of our education system. Statistics suggest we've fallen behind the rest of the world in literacy, math, and sciences. With a shrewd reading of history, Khan explains how this crisis presented itself, and why a return to "mastery learning," abandoned in the twentieth century and ingeniously revived by tools like the Khan Academy, could offer the best opportunity to level the playing field, and to give all of our children a world-class education now.More than just a solution, THE ONE WORLD SCHOOLHOUSE serves as a call for free, universal, global education, and an explanation of how Khan's simple yet revolutionary thinking can help achieve this inspiring goal.

    These luminous, entertaining essays travel both the vastness of the cosmos and the intimacy of the human mind, posing such fascinating questions as how did the universe originate and how will it end, and how can we meld science and compassion to meet the challenges of the coming century? Here, too, is a rare, private glimpse of Sagan's thoughts about love, death, and God as he struggled with fatal disease. Ever forward-looking and vibrant with the sparkle of his unquenchable curiosity, Billions & Billions is a testament to one of the great scientific minds of our day.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    Their visionary answers flow from the frontiers of psychology, philosophy, economics, physics, sociology, and more. Surprising and enlightening, these insights will revolutionize the way you think about yourself and the world.Contributors include:Daniel Kahneman on the “focusing illusion”Jonah Lehrer on controlling attentionRichard Dawkins on experimentationAubrey De Grey on conquering our fear of the unknownMartin Seligman on the ingredients of well-beingNicholas Carr on managing “cognitive load”Steven Pinker on win-win negotiatingDaniel Goleman on understanding our connection to the natural worldMatt Ridley on tapping collective intelligenceLisa Randall on effective theorizingBrian Eno on “ecological vision”J. Craig Venter on the multiple possible origins of life  Helen Fisher on temperamentSam Harris on the flow of thoughtLawrence Krauss on living with uncertainty

    Now, the internationally recognized leader on creativity and human potential focuses on one of the most critical issues of our time: how to transform the nation’s troubled educational system. At a time when standardized testing businesses are raking in huge profits, when many schools are struggling, and students and educators everywhere are suffering under the strain, Robinson points the way forward. He argues for an end to our outmoded industrial educational system and proposes a highly personalized, organic approach that draws on today’s unprecedented technological and professional resources to engage all students, develop their love of learning, and enable them to face the real challenges of the twenty-first century. Filled with anecdotes, observations and recommendations from professionals on the front line of transformative education, case histories, and groundbreaking research—and written with Robinson’s trademark wit and engaging style—Creative Schools will inspire teachers, parents, and policy makers alike to rethink the real nature and purpose of education.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    We’re a little taller or shorter than the average, our salary is a bit higher or lower than the average, and we wonder about who it is that is buying the average-priced home. All around us, we think, are the average people—with the average height, the average salary and the average house.But the average doesn’t just influence how we see ourselves—our entire social system has been built around this average-size-fits-all model. Schools are designed for the average student. Healthcare is designed for the average patient. Employers try to fill average job descriptions with employees on an average career trajectory. Our government implements programs and initiatives to serve the average person. For more than a century, we’ve believed that the best way to run our institutions is by focusing on the average person. But when you actually drill down into the numbers, you find an amazing fact: no one is average—which means that our society built for everyone is actually serving no one.In the 1950s, the American Air Force found itself with a massive problem—performance in expensive, custom-made planes was suffering terribly, with crashes peaking at seventeen in a single day. Since the state-of-the-art planes they were flying had been meticulously crafted to fit the average pilot, pilot error was assumed to be at fault. Until, that is, the Air Force investigated just how many of their pilots were actually average. The shocking answer: out of thousands of active-duty pilots, exactly zero were average. Not one. This discovery led to simple solutions (like adjustable seats) that dramatically reduced accidents, improved performance, and expanded the pool of potential pilots. It also led to a huge change in thinking: planes didn’t need to be designed for everyone—they needed to be designed so they could adapt to suit the individual flying them.The End of Average shows how success lies in customizing to our individual needs in all aspects of our lives, from the way we mark tests to the medical treatment we receive. Using principles from The Science of the Individual, it shows how we can break down the average to create individualized success that benefits everyone in the long run. It's time we stopped settling for average, and in The End of Average, Todd Rose will show you how.

    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    Historically, the humanities have been central to education because they have rightly been seen as essential for creating competent democratic citizens. But recently, Nussbaum argues, thinking about the aims of education has gone disturbingly awry both in the United States and abroad. Anxiously focused on national economic growth, we increasingly treat education as though its primary goal were to teach students to be economically productive rather than to think critically and become knowledgeable and empathetic citizens. This shortsighted focus on profitable skills has eroded our ability to criticize authority, reduced our sympathy with the marginalized and different, and damaged our competence to deal with complex global problems. And the loss of these basic capacities jeopardizes the health of democracies and the hope of a decent world. In response to this dire situation, Nussbaum argues that we must resist efforts to reduce education to a tool of the gross national product. Rather, we must work to reconnect education to the humanities in order to give students the capacity to be true democratic citizens of their countries and the world. Drawing on the stories of troubling--and hopeful--educational developments from around the world, Nussbaum offers a manifesto that should be a rallying cry for anyone who cares about the deepest purposes of education.