How Not to Be Wrong


Book Description

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.




Helping Children Learn Mathematics


Book Description

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.




Mathematics and the Image of Reason


Book Description

A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.




Basic Mathematics


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A Practical Arithmetic


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Negative Math


Book Description

Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.




Rules, Magic and Instrumental Reason


Book Description

This book offers a systematic and critical discussion of Peter Winch's writings on the philosophy of the social sciences. The author points to Winch's tendency to over-emphasize the importance of language and communication, and his insufficient attention to the role of practical, technological activites in human life and society. It also offers an appendix devoted to the controversy between the anthropologists Marshall Sahlins and Gananath Obeyesekere regarding Captain James Cook's Hawaiian adventures. Essential reading for those studying the development of philosophy in the twentieth century, this book will also be of great interest to anthropologists, sociologists, scholars of religion, and all those with an interest in the relationship between philosophy and the social sciences.