It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

    Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns will guarantee any child success in math. In MATH APPEAL, Tang continues to challenge kids with his innovative approach to math.

    It's filled with specific teaching ideas for helping children in kindergarten through Grade 3 who are having difficulty in reading and writing.We want these young students to think and behave like effective readers who not only solve words skillfully but comprehend deeply and read fluently. To achieve our goal, we need to place them in situations in which they can succeed and then provide powerful teaching. Gay Su Pinnell and Irene Fountas offer numerous examples and descriptions of instruction that can help initially struggling readers become strategic readers. When Readers Struggle: Teaching That Works focuses on small-group intervention and individual interactions during reading and writing. Pinnell and Fountas also illustrate how to closely observe readers to make the best possible teaching decisions for them as well as how to support struggling readers in whole-class settings.Find immediately usable answers to your questions about struggling readers from educators you trust. Read Pinnell and Fountas's When Readers Struggle: Teaching That Works and find teaching that works for struggling readers.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    Discusses ways to improve the American educational system, arguing that the art of teaching is far more important than increased spending.

    By the time he was thirteen, Urschel was auditing college-level calculus courses. But when he joined his high school football team, a new interest began to eclipse the thrill he once felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. Accepting a scholarship to play football at Penn State, Urschel refused to sacrifice one passion for another, and simultaneously pursued his bachelor's and then master's degrees in mathematics. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete, and so when he was drafted to the Baltimore Ravens, he enrolled in his PhD at MIT.Weaving together two separate yet bound narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he turned his back on offers from Ivy League universities and refused to abandon his team, and contends with his mother's repeated request, at the end of every season, that he quit the sport and pursue a career in rocket science. Perhaps most personally, he opens up about the correlation between football and CTE, and the risks he took for the game he loves. Equally at home with both Bernard Riemann's notion of infinity and Bill Belichick's playbook, Urschel reveals how each challenge - whether on the field or in the classroom - has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. He asks why, "So often, people want to divide the world into two. Matter and energy. Wave and particle. Athlete and mathematician. Why can't something be both?"

    Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random.Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.

    In this new seventh edition, the authors have streamlined the discussion by pruning older material and weaving in new developments. The result is an authoritative source on all major dimensions of Texas school law that is both well integrated and easy to read.Intended for Texas school personnel, school board members, interested attorneys, and taxpayers, the seventh edition explains what the law is and what the implications are for effective school operations. It is designed to help professional educators avoid expensive and time-consuming lawsuits by taking effective preventive action. It is an especially valuable resource for school law courses and staff development sessions.The seventh edition begins with a review of the legal structure of the Texas school system. Successive chapters address attendance and the instructional program, the education of children with special needs, employment and personnel, expression and associational rights, the role of religion in public schools, student discipline, open meetings and records, privacy, search and seizure, and legal liability under both federal and Texas law. In addition to state law, the book addresses the growing role of the federal government in school operation through such major federal legislation as the Americans with Disabilities Act, the Individuals with Disabilities Education Act, and the No Child Left Behind Act.

    Thanks to it, you will be able to UNLEASH the full power of your Amazon Echo, Echo Dot and Amazon Tap. AND you will find my email address at the end of the book, so feel free to ask me any questions you might have about Alexa. What is Amazon Echo Dot and Alexa Let me help you figure out what this this exciting technology is all about, so you can enjoy it too! Amazon Echo is a speaker connected to the internet that you can control with your voice. Alexa is the built-in vocal assistant of Amazon Echo. Alexa lets you play music, control your lights, ask for the weather and more. What you will learn: Step-by-step instructions on how to set up your device Get to know about all the things that Amazon Echo can do Get customized News, Traffic and Weather updates Connect your Google Calendar to your device Everything you need to know about Alexa in a single HIGH-QUALITY book Stream music from your favorite audio sources: iPhone, Android, Spotify, Amazon Music, Pandora, iHeartRadio, TuneIn Get ACTIONABLE ADVICE on how to build your smart home Control your lights, TV and room temperature with your voice Explore the complete list of Alexa-enabled devices organized per category Have fun by playing with 500 Easter Eggs Learn How IFTTT and Yonomi help you to better control your home Get to know the 20 most useful Alexa Skills Learn how Amazon Echo was created Written By An Alexa Lover For (future) Alexa Lovers How to troubleshoot your Echo Learn how Alexa works behind the scenes Explore the future of Alexa And much, much more! This is the only Amazon Echo book you will ever need Get your copy today! This book will save you hours figuring out how Echo works. I am sharing all my hacks so you can go from Beginner to Expert in an hour. I wish that upon reading this book, you will realise this exciting times that we live in. That you will see all the possibilities that the Amazon Echo has to offer. The time for innovation is now, and it is up to you to enjoy it now. Through the book, you will come to see Echo for what it is and what it can be. I am exploring in depth numerous topics such as Playing Music, Building your Smart Home, Using Alexa Skills and more. This book will help save you many hours trying to figure out what the Echo can do. Bonus Sign up to my free weekly newsletter to get the best new Alexa Skills in your inbox. Table of Contents 1. Preface 2. The Genesis of Amazon Echo 3. How Does Alexa Work? 4.

    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

    students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.

    From man's first act of counting to higher mathematics, from the smallest living creature to the dazzling reaches of outer space, Asimov is a master at "explaining complex material better than any other living person." (The New York Times) You'll learn: HOW to make a trillion seem small; WHY imaginary numbers are real; THE real size of the universe - in photons; WHY the zero isn't "good for nothing;" AND many other marvelous discoveries, in ASIMOV ON NUMBERS.