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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
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.
NATIONAL BESTSELLER • Bold futurist Ray Kurzweil, author of The Singularity Is Near, offers a framework for envisioning the future of machine intelligence—“a book for anyone who wonders where human technology is going next” (The New York Times Book Review). “Kurzweil offers a thought-provoking analysis of human and artificial intelligence and a unique look at a future in which the capabilities of the computer and the species that invented it grow ever closer.”—BILL GATES Imagine a world where the difference between man and machine blurs, where the line between humanity and technology fades, and where the soul and the silicon chip unite. This is not science fiction. This is the twenty-first century according to Ray Kurzweil, the “restless genius” (The Wall Street Journal), “ultimate thinking machine” (Forbes), and inventor of the most innovative and compelling technology of our era. In his inspired hands, life in the new millennium no longer seems daunting. Instead, it promises to be an age in which the marriage of human sensitivity and artificial intelligence fundamentally alters and improves the way we live. More than just a list of predictions, Kurzweil’s prophetic blueprint for the future guides us through the inexorable advances that will result in: • Computers exceeding the memory capacity and computational ability of the human brain (with human-level capabilities not far behind) • Relationships with automated personalities who will be our teachers, companions, and lovers • Information fed straight into our brains along direct neural pathways Eventually, the distinction between humans and computers will have become sufficiently blurred that when the machines claim to be conscious, we will believe them.
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Republished version of the Ray's Arithmetic from the late 1870's and early 1880's. Includes the following books: (some in hardback and some in paperback) Primary Arithmetic, Intellectual Arithmetic, Practical Arithmetic, Key to the Primary/Intellectual/Practical, Test Examples in Arithmetic, Higher Arithmetic, Key to Higher Arithmetic, Parent Teacher Guide (by Ruth Beechick).