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.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

    

     Made Whole is a comprehensive cookbook and resource guide that combines the Paleo approach with the low-carb/ketogenic diet, using only whole, natural, unprocessed ingredients. Cristina includes all the tools you need to be successful on a ketogenic diet, along with advice and how-tos for using the keto template to eat intuitively and develop a personalized nutrition plan based on your unique needs. Each recipe is free of grain, gluten, sugar, and dairy, along with nuts, starches, nightshades, and alcohol—making this a perfect cookbook for those following keto, Paleo, low-carb, AIP, or allergen-free diets. Cristina’s eclectic and mouthwatering recipes draw inspiration from international cuisines to keep cooking fun and exciting. You will feel like a gourmet chef with easy-to-make meals prepared from accessible ingredients that you can find at your local grocer using just the one master list that she provides in the book! Made Whole is a user-friendly guide to cooking beautiful food, eating well, and enjoying every last bite, while reaching your health and fitness goals. Sample recipes include: • Chewy Chocolate Chip Cookies • Turkey Falafel with Tzatziki Sauce  • Spaghetti and Meatballs with Roasted Beet Marinara   • Toasted Coconut Salmon • Savory Flax Waffles   • and many more! Made Whole will teach you that healthy food doesn’t have to fit into a certain label, box, or idea of what it should be. Once you begin to forget about what you can’t eat and embrace the wonderful and delicious things you can eat, you will find freedom and pleasure in fueling your body with the most exceptional sustenance that nature has to offer.

    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.

    Why, he wondered, do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes?The Math Myth expands Hacker’s scrutiny of many widely held assumptions, like the notions that mathematics broadens our minds, that mastery of azimuths and asymptotes will be needed for most jobs, that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country.In fact, Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals. Yet he shows how mandating it for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics.The Math Myth is sure to spark a heated and needed national conversation not just about mathematics but about the kind of people and society we want to be.

    The physical sciences and engineering claim to be the basis of modern technology and therefore of modern life; the social sciences discuss big issues of governance, for example, democracy and taxation; the humanities claim that they revive your soul after it has been deadened by exposure to the physical and social sciences and to engineering. Where does the subject "games of strategy," often also called game theory, fit into this picture, and why should you study it? Dixit and Skeath's Games of Strategy offers a practical motivation much more individual and closer to your personal concerns than most other subjects. You play games of strategy all the time: with your parents, siblings, friends, enemies, even with your professors. You have probably acquired a lot of instinctive expertise, and we hope you will recognize in what follows some of the lessons you have already learned. This book's authors will build on this experience, systematize it, and develop it to the point where you will be able to improve your strategic skills and use them more methodically. Opportunities for such uses will appear throughout the rest of your life; you will go on playing such games with your employers, employees, spouses, children, and even strangers. Not that the subject lacks wider importance. Similar games are played in business, politics, diplomacy, wars--in fact, whenever people interact to strike mutually agreeable deals or to resolve conflicts. Being able to recognize such games will enrich your understanding of the world around you, and will make you a better participant in all its affairs.

    But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas- sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con- ducted in statistics departments while data mining and machine learning re- search was conducted in computer science departments. Statisticians thought that computer scientists were reinventing the wheel. Computer scientists thought that statistical theory didn't apply to their problems. Things are changing. Statisticians now recognize that computer scientists are making novel contributions while computer scientists now recognize the generality of statistical theory and methodology. Clever data mining algo- rithms are more scalable than statisticians ever thought possible. Formal sta- tistical theory is more pervasive than computer scientists had realized.

    In Simply Sustainable, perfection is not required. Whether you are looking for easy changes to get you started, or more advanced, high-impact tips for your low-waste home, these simple, effective steps will forever change your relationship to disposable plastic products.Lily Cameron shows readers how to gradually transition away from plastic and curate a minimal, beautiful home in the process. Her approach teaches you how to "make plastic-free living work for you, savor your progress and celebrate that with each small change, you are making a positive impact on the environment, your health and your family's well being."Simply Sustainable proves that zero-waste living can be easy and deeply satisfying, whether shopping at the farmers market, throwing a dinner party, or packing for a getaway weekend. With practical, manageable strategies organized by room, and inspiring photographs of plastic-free homes, you can begin your journey toward intentional, low-waste living.

    The Complete Book of Numerology reveals the underlying meaning behind the numbers in your life and enables you to understand the connection between your numerological patterns and your degree of abundance, health, and general well-being. Overall, delving into the world of numbers will provide you with a simple and accurate way to decipher your experiences in the same manner that a road map helps you navigate a route that you haven't previously traveled.

    For many, home values are still too low and unemployment is still too high. Others have prospered despite the ups and downs. In Clark Howard's Living Large for the Long Haul, the renowned broadcaster examines our new paradigm through the eyes of those whose financial portfolios have beaten the odds, and those whose economic situation has gone off course. Through these fascinating personal accounts, listeners will uncover amazing opportunities and smart decisions, finding advantages in bleak times for lasting payoffs in the long run.

    Radical Frugality tells the story of 5 people who did it: Paul, 27, discovering how to overcome student loan debt; David and Winona, late 40's, living their retirement dream today; and Dan and Charlotte, family of 4, with an underwater mortgage. Waking up every morning debt-free with cash in your pocket helps your brain feel safe, secure, and smart. Embracing the concepts in this book frees you from the overwhelming anxiety of the consumer lifestyle by showing you how to take control. You can start today. What if you could spend 66% less money than you spend today setting yourself up to live a self-determined lifestyle doing exactly what you love to do regardless of financial compensation? Radical Frugality shows you exactly how to achieve those goals within one to five years. Using our step-by-step common sense plan, we teach you what to do (break the spell of the consumer credit con), when to do it (planning and preparation), and most importantly where to do it (discover the 5 top cities for living frugally). We'll help you evaluate your financial situation. Are you in the Yellow Zone, the Orange Zone, the Red Zone, or even the Dead Zone (paying debt with debt)? This book lays out a plan for how to pay off your debt and get into the Neutral Zone (getting back to monthly break-even), the Green Zone (debt free with $1,000 a month free cash-flow) or even the Golden Zone (living a self-determined life). Whether you are desperate right now about your financial situation, facing retirement, just starting out, or just plain tired and worn-out from struggling to pay bills, Radical Frugality can show you over 100 tips for feeling better today. Radical Frugality offers a soup to nuts plan for living a self-determined life that will leave you happier and healthier than ever before. CHAPTER ONE: IT'S NOT ABOUT WHAT YOU EARN—IT'S ABOUT WHAT YOU SPEND. HOW TO TAKE CONTROL CHAPTER TWO: THE CONSUMER CREDIT CON. HOW MARKETERS PLAY TRICKS ON YOUR BRAIN CHAPTER THREE: WHY FRUGALITY? GETTING STRAIGHT ABOUT WHY YOU'RE ON THE PLANET CHAPTER FOUR: WHO ARE YOU TODAY? EVALUATE YOUR SPENDING PROFILE CHAPTER FIVE: HOW TO DO IT. YOUR STEP BY STEP PLAN TO GAIN CONTROL CHAPTER SIX: GOING GREEN AND NEVER LOOKING BACK. THIS IS YOUR BRAIN ON CASH CHAPTER SEVEN: WHEN WILL YOU BE READY? LEARNING TO ASK THE RIGHT QUESTIONS CHAPTER EIGHT: LIVING THE DREAM. WHERE YOU LIVE DETERMINES HOW YOU LIVE

    Developed by computer science instructors, books in the For the absolute beginner series teach the principles of programming through simple game creation. You will acquire the skills that you need for more practical Python programming applications and you will learn how these skills can be put to use in real-world scenarios. Best of all, by the time you finish this book you will be able to apply the basic principles you've learned to the next programming language you tackle.Features Fun approach to a difficult topic Readers will create games with Python as they learn the fundamentals of this programming language The CD will include games that readers can cut and paste into their own Web site The author provides challenges at the end of chapters to push readers to program on their own.