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.

    Today he is one of the world s most brilliant surgeons. Gifted Hands Kids Edition tells the extraordinary true story of an angry, young boy from the inner city who, through faith and determination, grew up to become one of the world s leading pediatric neurosurgeons. When Ben was in school, his peers called him the class dummy. But his mother encouraged him to succeed, and Ben discovered a deep love of learning. Ben found that anything is possible with trust and determination."

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

     Oh, and she can't forget the winter dance (d)Then there's the suspicious guy Tess's parents know, but that's a whole different problem.Can Tess find the solutions?

    Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    His father, musician Vincenzio Galilei said, “Truth is not found behind a man’s reputation. Truth appears only when the answers to questions are searched out by a free mind. This is not the easy path in life but it is the most rewarding.” Galileo challenged divine law and the physics of Aristotle, and questioned everything in search of truths. And it was through this quest for truth that he was able to establish a structure for modern science.

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    If you toured Mammoth Cave in Kentucky in the year 1838, you would have been led by candlelight through dark, winding tunnels to the edge of a terrifying bottomless pit. Your guide would have been seventeen-year-old Stephen Bishop, an African American slave who became known around the world for his knowledge of Mammoth Cave. Bishop needed bravery, intelligence, and curiosity to explore the vast cavern. Using only a lantern, rope, and other basic caving equipment, he found a way to cross the bottomless pit and discover many more miles of incredible grottoes and tunnels. For the rest of his life he guided visitors through the cave, showing them how to stoop, bend, and crawl through passageways that were sometimes far from the traditional tour route. Based on the narratives of those who toured the cave with him, Journey to the Bottomless Pit is the first book for young readers ever written about Stephen Bishop.

    More than 200 color images transport kids to intriguing places, and 115 pages of full-size National Geographic maps help them locate countries, cities, regions, and more.Created by the most trusted name in cartography, these colorful maps have been custom designed for middle-grade students. Boundaries, place-names, and data reflect the most current information available, and every map appears in the context of surrounding areas to ensure that a full picture of the world develops. Same-size physical and political maps make for easy comparisons and help youngsters understand how physical features influence patterns of human settlement and economic activity. Locator globes and color-coding make it easy for kids to keep track of where they are and quickly navigate from one region to another.Stunning images from space draw visual links between real-world scenes and cartography. Plus, an interactive Web feature links kids to the Society’s vast archive of maps, articles, photos, videos, music, languages, crafts, quizzes, and more. With a dynamic reference like this, homework has never been so fascinating.

    If you lived at the time of the Civil War--Would you have seen a battle?--Did you continue to go to school?--Was it hard to get food?This book tells you what it was like to live at the time of the Civil War from 1861 to 1865.

    Recommended by the Califorina Department of Education.Book Details: Format: Hardcover Publication Date: 2/29/2000 Pages: 32 Reading Level: Age 6 and Up

    Cyr slide from a Cardano grille? Did you know that the discovery of a substitution cipher caused Mary Queen of Scots to lose her head? Don't look now, but packed into this practical field guide is everything a young person needs to know about the art of concealment - making and breaking codes, mastering cipher systems, and experimenting with secret writing. Offering plenty of hands-on practice sessions, tips for creating a code-making kit, sidebars on secret codes in history, and an amusing pair of spies to illustrate techniques, Paul B. Janeczko's tantalizing TOP SECRET won't stay a secret for long.

    It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.Visit http://minireference.com for more details.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    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.