PDF Ray's New Intellectual Arithmetic Download
- Author: Joseph Ray
- Publisher:
- ISBN:
- Category : Mental arithmetic
- Languages : en
- Pages : 156
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In 19th century America, Joseph Ray was the McGuffey of arithmetic. His textbooks, used throughout the United States, laid the mathematical foundations for the generations of inventors, engineers and businessmen who would make the nation a world power.
Guides your scheduling and planning through the Ray's Arithmetic books. Shows where you can adapt to the needs of slower or advanced students, making selective use of basic portions that are important for all students and higher-level portions that challenge the best students. Provides a test for each unit. Describes games and activities which add variety to your teaching.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
The transformation of schooling from a twelve-year jail sentence to freedom to learn. John Taylor Gatto's Weapons of Mass Instruction , now available in paperback, focuses on mechanisms of traditional education which cripple imagination, discourage critical thinking, and create a false view of learning as a byproduct of rote-memorization drills. Gatto's earlier book, Dumbing Us Down , introduced the now-famous expression of the title into the common vernacular. Weapons of Mass Instruction adds another chilling metaphor to the brief against conventional schooling. Gatto demonstrates that the harm school inflicts is rational and deliberate. The real function of pedagogy, he argues, is to render the common population manageable. To that end, young people must be conditioned to rely upon experts, to remain divided from natural alliances and to accept disconnections from their own lived experiences. They must at all costs be discouraged from developing self-reliance and independence. Escaping this trap requires a strategy Gatto calls "open source learning" which imposes no artificial divisions between learning and life. Through this alternative approach our children can avoid being indoctrinated-only then can they achieve self-knowledge, good judgment, and courage.
A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.