In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    This volume provides daily readings that offer insights into the home education experience, as well as supplies encouragement, inspiration, and companionship on the journey. The entries are honest reflections drawn from Julie's life and her interaction with the thousands of homeschoolers that are members of the Brave Writer community. Each entry is accompanied by a "quote of the day" written by a parent like you, or a notable individual. The day's entry is concluded with a "sustaining thought" to take with you. If you are looking for a safe space to reflect on your homeschooling life, free of buzz words, rigid application of ideology, and excessive cheeriness, this little volume may be just the right reading. Sink into your real lived experience, and read an entry a day to find strength and resources to keep going. May your home be a reflection of who you are, and a gracious space for growth and learning.

    Ray and Dorothy Moore show you how to make homeschooling an easy-to-live-with family adventure in learning. This low-stress, low-cost program shows you how to build a curriculum around your child's needs and interests - and around a realistic family schedule. Instead of a cut-and-dried approach, you'll discover the freedom of a flexible program that encourages creativity and initiative.

    Narration and notebooking are used to encourage critical thinking, logical ordering, retention, and record keeping. Each lesson in the book is organized with a narrative, some notebook work, an activity, and a project. The activities and projects use easy-to-find household items and truly make the lessons come alive! They include making a "light hut" in which to grow plants, dissection of a bean seed, growing seeds in plastic bags to watch the germination process, making a leaf skeleton, observing how plants grow towards light, measuring transpiration, forcing bulbs to grow out of season, and forcing pine cones to open and close. Although designed to be read by the parent to elementary students of various grade levels, it is possible for students with a 4th-grade reading level to read this book on their own. Grades K-6.

    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

    Soon the royal granaries are almost empty--will the proud king concede that he has been outwitted? A Notable Children's Trade Book in the Field of Social Studies and Outstanding Science Trade Book for Children. Full-color illustrations.

    Written shortly after World War I by Calvert School's first Head Master, Virgil Hillyer, this history storybook combines charm with facts to stimulate young minds and leave them yearning for more information. This volume of A Child's History of the World contains 79 stories that start at the beginning of time and reach to the present. With many illustrations by Carle Michel Book and M.S. Wright.

    Integrated central case studies woven throughout each chapter, use real-life stories to give you a tangible and engaging framework around which to learn and understand the science behind environmental issues. Printed on FSC (Forest Stewardship Council) certified paper, the newly revised Fourth Edition engages you through the addition of new EnvisionIt photo essays.

    That's an odd way to begin a work of popular science . . . . but amusing.Please heed the warning from the Introduction by Bruce Sterling: "If you are examining Saucer Wisdom imagining that Rudy (or some fictional 'Frank Shook') has been actually logging a lot of on board saucer time, well, you can knock that off right now. Rudy Rucker made up the flying saucer part. There is no actual flying saucer. The saucer is not an interplanetary faster-than-light device. Its what we professional authors like to call a narrative device."I'm going to spill the beans as directly as I can here: Saucer Wisdom is a work of popular science speculation. Its a nonfiction book in which Prof. Rucker takes a few quirky grains of modern scientific fact, drops them into the colorful tide pool of his own imagination, and harvests a major swarm of abalones, jellyfish, and giant anemones."Pop-science writers didn't used to treat 'science' in this boisterous way, but there might well be a trend here, there may be a real future in this. Saucer Wisdom is a book by a well-qualified mathematician and computer scientist, a veteran pop science writer, in which 'science' is treated, not as some distant and rarefied quest for absolute knowledge, but as naturally great source material for a really long, cool rant."Rucker, in character, describes, and illustrates with delightful cartoon sketches (the way he would use chalk and a blackboard while talking science), the world of the progressively more distant future as it is transformed by computer technology, biotechnology, and human evolution. He also describes a hell of a party in Berkeley. Popular science writing will never be the same.

    Offering an approach with a visual/graphical emphasis, this text offers a number of examples on the premise that students learn best by doing. This book features an emphasis on interpretation of results and critical thinking over calculations.

    of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve

    Everyone would like education to be a joyous adventure and celebration of life, as well as a solid preparation for living. Sadly, most education today falls far short of this goal.But as Susan Schaeffer Macaulay shows it doesn't have to be this way. Education can be a wonderful, life-enriching, joyous experience.For the Children's Sake is a book about what education can be--for your child, in your home, and in your school. It is based first on a Christian understanding of what it means to be human--to be a child, a parent, a teacher--and on the Christian meaning of life. At the same time it is deeply practical. Many of the central ideas have been tried and proven true over a century in almost every kind of educational situation. The ideas are in fact so true that they can be applied equally at home, in different schools, in Africa, in the inner city, and in your own community. But they are also ideas which Susan and her husband Ranald Macaulay have tried and proven in their own family and school experience.For the Children's Sake is a book which can help every parent and teacher awaken the young minds of their children and give them a new richness, stability, and joy for living.

    Updated for the most recent syllabus it provides complete content coverage with thousands of practice questions in an attractive and engaging format for both native and non-native speakers of English. The book is easy-to-use with an accessible format of worked examples and practice questions. Each book is accompanied by a free CD which provides a wealth of support for students, such as hundreds of additional homework questions, self-assessment checklists, revision and examination tips, and examiner comments. An accompanying Teacher's Guide and Revision Guide are also available. Endorsed by Cambridge International Examinations.

    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.