Inside this book, families will find fun, mischief-making math problems to tackle—math that isn't just kid-friendly, but actually kid-appealing. With over 100 math riddles on topics from jalapeños and submarines to roller coasters and flamingos, this book bursts with math that looks nothing like school. And with three different levels of challenge (wee ones, little kids, and big kids), there's something for everyone. We can make numbers fun, and change the world, one Bedtime Math puzzle at a time.

    then, by golly, stick a tiara on your head and go teach something!" Do you wish that you had the chance to sit down with a seasoned homeschooling veteran over a cup of tea and ask every question that comes to mind? Mother of seven and twelve year homeschooling veteran Rebecca Frech is the common-sense voice of experience and reassurance that you've been hoping to find. Teaching in Your Tiara is a soup-to-nuts homeschooling book that walks you through the first years - deciding that home education is right for your family, choosing the right curriculum, understanding learning styles, not raising socially awkward kids, maintaining your own identity, and more. Whether you're the parent who's already committed to homeschooling or you're just dipping your toe into the pool of consideration, this book is for you! Rebecca's logic, honesty, and humor will leave you both amused and well-informed about the realities of homeschooling and what it could mean for your family.

    

    Nashef tells heart-stopping stories of transplants, bypasses, coronary artery repair, and cardiac arrest. He also delivers humane advice about medical realities rarely observed: the futility of obsessing over diet, the necessity of calculating risks, the role of decision making, the resilience of doctor and patient alike, and the threadbare brilliance of the NHS.Nashef is a magnificently warm and likeable doctor and writer; and he has the best imaginable bedside manner.

    Reveals the important contributions of mathematics to the physical and social sciences, philosophy, religion, literature, and art.

    It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills—and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These “bots” started with human programming and logic, but now their reach extends beyond what their creators ever expected. In this fascinating, frightening book, Christopher Steiner tells the story of how algorithms took over—and shows why the “bot revolution” is about to spill into every aspect of our lives, often silently, without our knowledge. The May 2010 “Flash Crash” exposed Wall Street’s reliance on trading bots to the tune of a 998-point market drop and $1 trillion in vanished market value. But that was just the beginning. In Automate This, we meet bots that are driving cars, penning haiku, and writing music mistaken for Bach’s. They listen in on our customer service calls and figure out what Iran would do in the event of a nuclear standoff. There are algorithms that can pick out the most cohesive crew of astronauts for a space mission or identify the next Jeremy Lin. Some can even ingest statistics from baseball games and spit out pitch-perfect sports journalism indistinguishable from that produced by humans. The interaction of man and machine can make our lives easier. But what will the world look like when algorithms control our hospitals, our roads, our culture, and our national security? What hap­pens to businesses when we automate judgment and eliminate human instinct? And what role will be left for doctors, lawyers, writers, truck drivers, and many others?  Who knows—maybe there’s a bot learning to do your job this minute.

    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.

    Using easy instructions and simple objects such as beans, blocks, pennies, buttons, and string, parents and kids solve problems together. FAMILY MATH is a rich resource of math curriculum including number and estimation, logical thinking, probability and statistics, geometry, measurement, and calculators. The stimulating games, puzzles, and projects entice kids in playful ways to master math concepts. Because this book reinforces the basic school curriculum, it is also a must for teachers. The book has a step-by-step description of how to organize a FAMILY MATH class in your community. For families with children five to twelve years old. Grades K-8. 318 pp

    "Don’t Waste Your Time Homeschooling: 72 Things I Wish I’d Known" features concrete suggestions to help you: • Discover ways to take your family’s pulse and maintain a peaceful household. • Realize how easy it can be to sidestep the isolation trap. • Find creative ways to maintain your own identity amid a sea of others’ needs. • Learn the one easy habit to help avoid conflict with busy teen drivers. • Explain to others how your children are being properly socialized.

    The Human Face of FractionsIf you know your addition and multiplication tables by heart, your next step is to get to know Fred.In this book (Life of Fred: Fractions) and the next book (Life of Fred: Decimals and Percents) you can learn everything you need to know to begin algebra!In one morning, our hero:Teaches a class at the universityBuys a bicycleIn his office, he hurts his foot and is taken to the hospital....and that's just the beginning of his day!Less Than, Billion, Cardinal and Ordinal Numbers, Diameter and Radius, Savings and Expenses, Definition of a Fraction, Sectors, Comparing Fractions, Reducing Fractions, Adding and Subtracting Fractions, Common Denominators, Roman Numerals, Least Common Multiples, Improper Fractions, Lines of Symmetry, Division by Zero, Circumference, Multiplying Mixed Numbers, Commutative Law, Canceling, Definition of a Function, Area, Unit Analysis, Division of Fractions, Geometric Figures, Estimating Answers.

    The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.

    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.

    

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.