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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
For use in schools and libraries only. Uses ordinary experiences to present twelve combinations of numbers that add up to eleven.
Annotation This series helps teachers use the imaginative ideas in children s books for math lessons. Organized into four grade-level collections to respond to teachers specific classroom needs, this series includes favorite lessons based on a wide variety of children s books. Teachers will appreciate these books for the enjoyment and excitement they bring to math instruction. With introductions by Marilyn Burns, these books include vignettes of lessons and samples of student work. These lessons, based on popular children s books, address major mathematical topics such as addition, subtraction, multiplication, geometry, algebraic thinking, number sense, and place value.
A page-turning novel that is also an exploration of the great philosophical concepts of Western thought, Jostein Gaarder's Sophie's World has fired the imagination of readers all over the world, with more than twenty million copies in print. One day fourteen-year-old Sophie Amundsen comes home from school to find in her mailbox two notes, with one question on each: "Who are you?" and "Where does the world come from?" From that irresistible beginning, Sophie becomes obsessed with questions that take her far beyond what she knows of her Norwegian village. Through those letters, she enrolls in a kind of correspondence course, covering Socrates to Sartre, with a mysterious philosopher, while receiving letters addressed to another girl. Who is Hilde? And why does her mail keep turning up? To unravel this riddle, Sophie must use the philosophy she is learning—but the truth turns out to be far more complicated than she could have imagined.
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
"This resource provides classroom-tested ideas and methods for linking math and literature skills in the primary grades. Incorporating popular literature into math instruction offers an opportunity for students to experience mathematics separately from the traditional routine of workbook and textbook exercises. Ten classroom lessons, student samples, and bibliography are included."--pub. desc.
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Learning about fruits and vegetables becomes fun in What's in the Garden? This book serves as a garden tool for kids and doubles as a healthy cookbook, with tons of kid-friendly recipes for you to cook with your child. Children at home this summer will be inspired learn about the world around us! Good food doesn't begin on a store shelf with a box, it comes from a garden bursting with life, color, sounds, smells, sunshine, moisture, birds, and bees! Healthy food becomes much more interesting when children know where they come from. So what's in the garden? Kids will find a variety of fruits and vegetables, from carrots to broccoli, apples to onions. For each vegetable comes a tasty, kid-friendly recipe making this book not only the perfect gardening book for kids, but also a healthy cookbook for kids from 4-8. Author Marianne Berkes consulted with nutritionists and personally made every recipe in the book, to be sure they are both tasty and kid-friendly. Recipes include: Applesauce Carrot Muffins Tomato Sauce French Onion Soup Blueberry Pie Backmatter Includes: Further information about the foods in the book A glossary to help with food preparation Facts about gardening and plant anatomy
Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
The math teacher's go-to resource—now updated for the Common Core! What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the “how.” That’s the big service What Successful Math Teachers Do provides. It’s a powerful portal to what the best research looks like in practice strategy by strategy—now aligned to both the Common Core and the NCTM Standards. For each of the book’s 80 strategies, the authors present A brief description A summary of supporting research The corresponding NCTM and Common Core Standards Classroom applications Possible pitfalls Recommended reading and research