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In this fully revised second edition of the classic Young Children Reinvent Arithmetic, Constance Kamii describes and develops an innovative program of teaching arithmetic in the early elementary grades. Kamii bases her educational strategies on renowned constructivist Jean Piaget's scientific ideas of how children develop logico-mathematical thinking. Written in collaboration with a classroom teacher, and premised upon the conviction that children are capable of much more than teachers and parents generally realize, the book provides a rich theoretical foundation and a compelling explanation of educational goals and objectives. Kamii calls attention to the ways in which traditional textbook-based teaching can be harmful to children’s development of numerical reasoning, and uses extensive research and classroom-tested studies to illuminate the efficacy of the approach. This book is full of practical suggestions and developmentally appropriate activities that can be used to stimulate numerical thinking among students of varying abilities and learning styles, both within and outside of the classroom. “In this new edition of her important book, Connie Kamii demonstrates scholarship not just in what she has written, but in her willingness to incorporate new ideas and findings. Many people update their books; few assiduously revise them, confronting what they believe to be past errors or gaps in their thinking. Such intellectual honesty, along with consistent connections between theory and practice, make this book a solid contribution to mathematics education of young children.” —Douglas Clements, State University of New York at Buffalo “The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision provides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.” —Frances R. Curcio, New York University

"Making Mathematics with Needlework will inspire mathematicians, mathematics educators, and crafters; every chapter has an overview as well as sections on mathematics and mathematics education and detailed instructions for completing the chapter's project. All readers will be able to understand the overview sections, as they include introductions to the various fiber arts as well as summaries of the mathematical content. While the mathematics sections are written for mathematicians, the authors have made a special effort to make their work accessible to lay readers by providing definitions of mathematical terms and many diagrams. The project sections are written for crafters, so that non-mathematician readers can have a tangible experience with mathematical concepts."--BOOK JACKET.

Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.

From America’s preeminent columnist, named by the Financial Times the most influential commentator in the nation, a must-have collection of Charles Krauthammer’s essential, timeless writings. A brilliant stylist known for an uncompromising honesty that challenged conventional wisdom at every turn, Krauthammer dazzled readers for decades with his keen insight into politics and government. His weekly column was a must-read in Washington and across the country. Don’t miss the best of Krauthammer’s intelligence, erudition and wit collected in one volume. Readers will find here not only the country’s leading conservative thinker offering a pas­sionate defense of limited government, but also a highly independent mind whose views—on feminism, evolution and the death penalty, for example—defy ideological convention. Things That Matter also features several of Krautham­mer’s major path-breaking essays—on bioeth­ics, on Jewish destiny and on America’s role as the world’s superpower—that have pro­foundly influenced the nation’s thoughts and policies. And finally, the collection presents a trove of always penetrating, often bemused re­flections on everything from border collies to Halley’s Comet, from Woody Allen to Win­ston Churchill, from the punishing pleasures of speed chess to the elegance of the perfectly thrown outfield assist. With a special, highly autobiographical in­troduction in which Krauthammer reflects on the events that shaped his career and political philosophy, this indispensible chronicle takes the reader on a fascinating journey through the fashions and follies, the tragedies and triumphs, of the last three decades of American life.

Acknowledgments -- Introduction: the power of algorithms -- A society, searching -- Searching for Black girls -- Searching for people and communities -- Searching for protections from search engines -- The future of knowledge in the public -- The future of information culture -- Conclusion: algorithms of oppression -- Epilogue -- Notes -- Bibliography -- Index -- About the author