Mitchel Resnick's book is one of the very few in the field of computing with an interdisciplinary discourse that can reach beyond the technical community to philosophers, psychologists, and historians and sociologists of science." -- Sherry Turkle, Professor, Program in Science, Technology, and Society, Massachusetts Institute of Technology "Resnick's work provides a rare glimpse of what I am sure will become a new paradigm for research in education.

    

    It suggests that patience and confusion--rather than rigor and certainty--are the essential precursors of wisdom.With a compelling argument that the mind works best when we trust our unconscious, or "undermind," psychologist Guy Claxton makes an appeal that we be less analytical and let our creativity have free rein. He also encourages reevaluation of society's obsession with results-oriented thinking and problem-solving under pressure. Packed with Interesting anecdotes, a dozen puzzles to test your reasoning, and the latest related research, Hare Brain, Tortoise Mind is an Illuminating, uplifting, stimulating read that focuses on a new kind of well-being and cognition.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    Understanding these basics is key to becoming a successful musician and well-rounded music lover. Music Theory 101 covers everything novice musicians and lifelong learners need to know, including: -How to read sheet music -Understanding the construction of chords and scales -The different rhythm and time signatures -How keys are identified and organized Full of music trivia, music history, comprehensive instruction, and visual aids of scales, music symbols, and chords throughout, Music Theory 101 is the essential guide you need for a crash course in music theory that even professional musicians would envy.

    

    It was his feeling that a proper analysis of the use of language would clarify concepts and lead to the solution of (what seem to be) philosophical problems.Sometimes, Wittgenstein's expository method is pre-Socratic: a flow of disconnected statements, not unlike Heraclitean fragments, that range from clear aphorisms to cryptic oracles. Elsewhere, there are brief Socratic dialogues with imaginary persons, opponents of equally severe seriousness, representatives of the other half of Wittgenstein strove for total clarity of language as a means of solving philosophical problems, but some of his most meaningful statements here are expressed suggestively, subjectively, poetically.

    Today’s kids have adopted sedentary lifestyles filled with television, video games, and computer screens. But more and more, studies show that children need “rough and tumble” outdoor play in order to develop their sensory, motor, and executive functions. Disturbingly, a lack of movement has been shown to lead to a number of health and cognitive difficulties, such as attention deficit/hyperactivity disorder (ADHD), emotion regulation and sensory processing issues, and aggressiveness at school recess break. So, how can you ensure your child is fully engaging their body, mind, and all of their senses? Using the same philosophy that lies at the heart of her popular TimberNook program—that nature is the ultimate sensory experience, and that psychological and physical health improves for children when they spend time outside on a regular basis—author Angela Hanscom offers several strategies to help your child thrive, even if you live in an urban environment. Today it is rare to find children rolling down hills, climbing trees, or spinning in circles just for fun. We’ve taken away merry-go-rounds, shortened the length of swings, and done away with teeter-totters to keep children safe. Children have fewer opportunities for unstructured outdoor play than ever before, and recess times at school are shrinking due to demanding educational environments. With this book, you’ll discover little things you can do anytime, anywhere to help your kids achieve the movement they need to be happy and healthy in mind, body, and spirit.

    Look at the headlines. Read the blogs. Study the survey data. It seems that everyone is wary, that everyone is just looking out for themselves. But a sense of social trust and togetherness can be restored.In The Leap, best-selling author Ulrich Boser shows how the emerging research on trust can improve our lives, rebuild our economy, and strengthen society. As part of this engaging and deeply reported narrative, Boser visits a radio soap opera in Rwanda that aims to restore the country’s broken trust, profiles the man who brought honesty to one of the most corrupt cities in Latin America, and explains how a college dropout managed to con his way into American high society. Boser even goes skydiving to see if the experience will increase his levels of oxytocin, the so-called "trust hormone.”A powerful mix of hard science and compelling storytelling, The Leap explores how we trust, why we trust, and what we can all do to deepen social trust. The book includes insightful policy recommendations along with surprising new data on the state of social trust in America today.

    

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    Carla Hannaford brings the latest insights from scientific research to questions that affect learners of all ages. Examining the body's role in learning, from infancy through adulthood she presents the mounting scientific evidence that movement is crucial to learning. Dr. Hannaford offers clear alternatives and remedies that people can put into practice right away to make a real difference in their ability to learn. She advocates more enlightened educational practices for homes and schools including: a more holistic view of each learner; less emphasis on rote learning; more experiential, active instruction; less labeling of learning disabilities; more physical movement; more personal expression through arts, sports and music; less prescribing of Ritalin and other drugs whose long term effects are not even known.

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    They experiment, explore, test, and play, and they learn a great deal about problem-solving through questions and hands-on experiments. They don't see lines between disciplines; rather, they notice interesting materials and ideas that are worth exploring. This book is about creative experiments, in all fields, that help kids explore the world.Children gravitate toward sensory experiences (playing with slime), figuring out how things work (taking toys apart), and testing the limits of materials (mixing a tray of paint together until it makes a solid mass of brown). They're not limited by their imaginations, and a wooden spoon can become a magic wand as quickly as a bag of pom-poms can become a hot bowl of soup. This book is about helping parents and teachers of babies, toddlers, and preschoolers understand and tap into this natural energy with engaging, kid-tested, easy-to-implement projects that value process over product. The creative experiments shared in this book foster curiosity, promote creative and critical thinking, and encourage tinkering--mindsets that are important to children growing up in a world that values independent thinking.In addition to offering a host of activities that parents and teachers can put to use right away, this book also includes a buffet of recipes (magic potions, different kinds of play dough, silly putty, and homemade butter) and a detailed list of materials to include in the art pantry.