Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    Each day brings a new adventure that can range from being serious to whimsical to humorous.

    . . . One day I picked up a basketball, and it never let me go."For fifty seasons Lute Olson has been teaching young athletes the skills of basketball---and life. Starting as a high school coach, he worked his way to the top of the basketball world, winning more than a thousand games, a national championship, and a world championship, producing some of the NBA's biggest stars, and eventually being enshrined in the basketball Hall of Fame.This is the story of his upbringing in Mayville, North Dakota, where he learned his famous work ethic and survival skills; the telling of the eighteen years it took to finally coach for a major college team; the fond memories of coaching famed players as well as the stories of bitter losses and breathtaking wins. This is his story, from recruiting in the dangerous projects of big cities and the vast farmlands of the Midwest, to finally winning an NCAA championship. It's the inside-the-locker-room story of many extraordinary emotional moments that will live forever in basketball lore. "Lute! Lute! Lute!" The cheer by which the Arizona fans greet their coach before each game is the story of a man with a lifelong passion for a game. This book will take the reader inside the incredibly popular world of collegiate basketball, as seen through the eyes of a giant of the sport.But his is far more than a basketball story. Lute's partner for forty-seven years in building championship programs was his high school sweetheart, Bobbi, whose blueberry pancakes became as widely known in the basketball world as his own full head of white hair. While Lute was the taciturn coach, she became the player's mother-away-from-home. America got to meet her as she fought her way courtside through cheering fans after Lute's Arizona team had earned a trip to the Final Four, and on national television he swept her off her feet and the two of them whirled round and round in joy. It is a love story of a couple who together built a sports legend. Lute and Bobbi Olson were a team. The Arizona community loved her almost as much as he did---traditionally at the beginning of each game the Wildcat band greeted them with a cheer. Their almost half-century love affair ended with Bobbi's death from cancer. Lute explores how he dealt with her death, and how he moved forward to find a new love.This is the chronicle of one American boy's dream to become a great basketball coach---his achievements, his coaching strategies, and the wins and losses he faced as boy, man, and coach, but always with one constant in his life: the game of basketball. This is the story of fifty seasons in the life of Lute Olson.

    Packing Light contains 130+ pages of carry on packing advice in an organized, easy-to-read format.

    In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing. Today, data is so plentiful that researchers spend precious little time distinguishing between good, meaningful indicators and total rubbish. Not only do others use data to fool us, we fool ourselves.With the breakout success of Nate Silver’s The Signal and the Noise, the once humdrum subject of statistics has never been hotter. Drawing on breakthrough research in behavioral economics by luminaries like Daniel Kahneman and Dan Ariely and taking to task some of the conclusions of Freakonomics author Steven D. Levitt, Standard Deviations demystifies the science behind statistics and makes it easy to spot the fraud all around.

    Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on* the relationship between mathematical knots and DNA* how computers based on quantum logic can significantly speed up the factoring of large composite numbers* the relationship between four-dimensional geometry and physical theories of the nature of matter* the application of cellular automata models to social questions and the peregrinations of virtual ants* a novel mathematical model of quasicrystals based on decagon-shaped tilesBlazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Her twin brother. The secrets and lies that would tear them apart.There is a special bond that twins share, an ethereal connection that can't be put into words.Margaret Harrod shared that unique bond with her twin brother, Michael.As children they were inseparable, and at age 22, together, they gave their lives to the Catholic Church. Margaret became a nun and Michael a Salesian priest - it was the proudest day of their deeply religious parents' lives. Margaret cherishes those carefree childhood memories because the brother she adored is now in jail. Father Michael Aulsebrook pleaded guilty to multiple charges of molesting children, some as young as seven. And the unlikely whistle-blower was his courageous twin sister.It cost Margaret everything, but she couldn't stay silent any longer about the damage her brother was wreaking in his community. Margaret knows of that damage firsthand, having had that trust betrayed herself.Blood on the Rosary is a heartfelt, brave and inspiring memoir that tells Margaret Harrod's story - how she sacrificed everything she held dear in the pursuit of the truth and how she bravely fought her church and her community to bring paedophile priests, including her beloved brother, to justice.

    However, there were more than 150,000 applicants, and you can be sure the successful candidates had not only relevant backgrounds, but also determination and a genuine desire to embark on one of the most coveted, rewarding, and challenging careers in the world.Joe Koletar, whose own blue-ribbon career at the Bureau is second to none, shows how to get the job-and how to thrive once you've got it.In The FBI Career Guide, Koletar’s inside look at the real FBI reveals:Smart educational and career decisions to improve your odds of being hiredHow to meet and network with current FBI agentsWhat Special Agents do, day-to-day, in different roles and environmentsHow undercover investigations, SWAT team operations, and specialty assignmentsWhat agents earn, and what benefits they receiveThe prospects for advancement, and some typical (and not so typical) career pathsHow the job may affect your personal and family lifeThis book also reveals the common mistakes applicants make, and shows how to avoid them while also giving you detailed information on excelling in the Agent Training Program.Finally, Koletar offers profiles of real agents who have gone on to successful post-FBI careers, and will help you lay the groundwork for a rewarding life after the Bureau. Above all, The FBI Career Guide will help you find out if you've got what it takes to succeed -- and if you do, how to show it.

    Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy.Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.

    What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    In her critically acclaimed memoir Dork Whore, Iris Bahr finally lost her virginity in the summer between high school and Brown University. In this book, she’s ready for love a year later—but not much wiser. Through all of her uproarious capers, she tries to reconcile her craving for mindblowing sex with her desire for a meaningful relationship—all in an attempt to become an adult. Sort of.