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Employing intuitive ideas from mathematics, this quirky "meta-memoir" raises questions about our lives that most of us don't think to ask, but arguably should: What part of memory is reliable fact, what part creative embellishment? Which favorite presuppositions are unfounded, which statistically biased? By conjoining two opposing mindsets--the suspension of disbelief required in storytelling and the skepticism inherent in the scientific method--bestselling mathematician John Allen Paulos has created an unusual hybrid, a composite of personal memories and mathematical approaches to re-evaluating them. Entertaining vignettes from Paulos's biography abound--ranging from a bullying math teacher and a fabulous collection of baseball cards to romantic crushes, a grandmother’s petty larceny, and his quite unintended role in getting George Bush elected president in 2000. These vignettes serve as springboards to many telling perspectives: simple arithmetic puts life-long habits in a dubious new light; higher dimensional geometry helps us see that we're all rather peculiar; nonlinear dynamics explains the narcissism of small differences cascading into very different siblings; logarithms and exponentials yield insight on why we tend to become bored and jaded as we age; and there are tricks and jokes, probability and coincidences, and much more. For fans of Paulos or newcomers to his work, this witty commentary on his life--and yours--is fascinating reading.
From the author of the national bestseller Innumeracy, a delightful exploration and explanation of mathematical concepts from algebra to zero in easily accessible alphabetical entries. "Paulos . . . does for mathematics what The Joy of Sex did for the boudoir. . . ."--Washington Post Book World. First time in paperback.
Readers of Innumeracy will be rewarded with scores of astonishing facts, a fistful of powerful ideas, and, most important, a clearer, more quantitative way of looking at their world. Why do even well-educated people understand so little about mathematics? And what are the costs of our innumeracy? John Allen Paulos, in his celebrated bestseller first published in 1988, argues that our inability to deal rationally with very large numbers and the probabilities associated with them results in misinformed governmental policies, confused personal decisions, and an increased susceptibility to pseudoscience of all kinds. Innumeracy lets us know what we're missing, and how we can do something about it. Sprinkling his discussion of numbers and probabilities with quirky stories and anecdotes, Paulos ranges freely over many aspects of modern life, from contested elections to sports stats, from stock scams and newspaper psychics to diet and medical claims, sex discrimination, insurance, lotteries, and drug testing.
Innumeracy in the Wild presents the logic, rules, and habits that highly numerate people use in decision making, which the less numerate can employ to choose better. This text offers a state-of-the-art review of the now sizeable body of psychological and applied findings that demonstrate the critical importance of numeracy in our world. With more than two decades of experience in the decision sciences, Ellen Peters demonstrates how intervention can foster adult numeric capacity, propel people to use numeric facts in decision making, and empower people with lower numeracy to reason better.
Impressive statistics are thrown at us every day - the cost of health care; the size of an earthquake; the distance to the nearest star; the number of giraffes in the world. We know all these numbers are important - some more than others - and it's vaguely unsettling when we don't really have a clear sense of how remarkable or how ordinary they are. How do we work out what these figures actually mean? Are they significant, should we be worried, or excited, or impressed? How big is big, how small is small? With this entertaining and engaging book, help is at hand. Andrew Elliott gives us the tips and tools to make sense of numbers, to get a sense of proportion, to decipher what matters. It is a celebration of a numerate way of understanding the world. It shows how number skills help us to understand the everyday world close at hand, and how the same skills can be stretched to demystify the bigger numbers that we find in the wider contexts of science, politics, and the universe. Entertaining, full of practical examples, and memorable concepts, Is That A Big Number? renews our relationship with figures. If numbers are the musical notes with which the symphony of the universe is written, and you're struggling to hear the tune, then this is the book to get you humming again.
John Allen Paulos cleverly scrutinizes the mathematical structures of jokes, puns, paradoxes, spoonerisms, riddles, and other forms of humor, drawing examples from such sources as Rabelais, Shakespeare, James Beattie, René Thom, Lewis Carroll, Arthur Koestler, W. C. Fields, and Woody Allen. "Jokes, paradoxes, riddles, and the art of non-sequitur are revealed with great perception and insight in this illuminating account of the relationship between humor and mathematics."—Joseph Williams, New York Times "'Leave your mind alone,' said a Thurber cartoon, and a really complete and convincing analysis of what humour is might spoil all jokes forever. This book avoids that danger. What it does. . .is describe broadly several kinds of mathematical theory and apply them to throw sidelights on how many kinds of jokes work."—New Scientist "Many scholars nowadays write seriously about the ludicrous. Some merely manage to be dull. A few—like Paulos—are brilliant in an odd endeavor."—Los Angeles Times Book Review
The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.
Learn how to make informed decisions through statistical reasoning! Using a qualitative approach to introduce statistical reasoning, The Numerate Leader: How to Pull Game-Changing Insights from Statistical Data is a cutting-edge book that helps the reader extract information from unfamiliar data sets. Combining introductory statistics with a few ideas from the philosophy of science, this work helps generalists find patterns that may be expected to recur in the future. Identifying one or two such relationships can be a game-changer for the reader and their employer or client. Thomas A. King's revelatory writing is easy to understand and conversational in tone. King makes the complex, tedious topics that you studied in the classroom—but likely didn't yet understand—easily comprehensible. Historical examples and humorous anecdotes illuminate technical concepts so that readers may pull insights from data sets and then explain conclusions reached through effective storytelling. What's more, the book is fun to read. A natural teacher, King emphasizes that complex software is unnecessary for success in this field. Readers, however, will find: Real-life examples that help put statistical concepts into an understandable context A glossary of important statistical terms and their use An appendix detailing ten math facts numerate people should know Perfect for undergraduate and graduate students entering advanced data analytics courses, as well as data analysts and c-suite executives just starting out, The Numerate Leader is key in helping develop the skills to identify provisional relationships between disparate data sets and then assess the significance of conclusions reached.
Can a renowned mathematician successfully outwit the stock market? Not when his biggest investment is WorldCom. In A Mathematician Plays the Stock Market , best-selling author John Allen Paulos employs his trademark stories, vignettes, paradoxes, and puzzles to address every thinking reader's curiosity about the market -- Is it efficient? Is it random? Is there anything to technical analysis, fundamental analysis, and other supposedly time-tested methods of picking stocks? How can one quantify risk? What are the most common scams? Are there any approaches to investing that truly outperform the major indexes? But Paulos's tour through the irrational exuberance of market mathematics doesn't end there. An unrequited (and financially disastrous) love affair with WorldCom leads Paulos to question some cherished ideas of personal finance. He explains why "data mining" is a self-fulfilling belief, why "momentum investing" is nothing more than herd behavior with a lot of mathematical jargon added, why the ever-popular Elliot Wave Theory cannot be correct, and why you should take Warren Buffet's "fundamental analysis" with a grain of salt. Like Burton Malkiel's A Random Walk Down Wall Street , this clever and illuminating book is for anyone, investor or not, who follows the markets -- or knows someone who does.
Being numerate involves more than mastering basic mathematics. Numeracy connects the mathematics learned at school with out-of-school situations that require capabilities such as problem solving, critical judgment, and sense-making related to non-mathematical contexts. This book provides prospective and practising teachers with practical, research-based strategies for embedding numeracy across the primary and secondary school curriculum. Based on the authors' ten-year research program, the text explains what numeracy is and how numeracy has developed as an educational goal. It describes in detail the five dimensions of the authors' model: attention to real-life contexts; application of mathematical knowledge; use of physical, representational and digital tools; the promotion of positive dispositions towards the use of mathematics to solve problems encountered in day-to-day life; and a critical orientation to interpreting mathematical results and making evidence-based judgements. There is guidance on how to embed numeracy across all subjects within the curriculum, how to assess numeracy learning and how to deal with challenges and dilemmas including working with discipline boundaries and developing support resources. Featuring practical examples and case studies throughout, this book will build pre-service teacher confidence, demystify common misconceptions and grounds theory into practice in this vital area of student competency. 'The authors of this text are recognised authorities on numeracy. They have engaged heavily in numeracy research over many years and this text reflects the depth of their understanding and knowledge.' - Geoff Hilton, University of Queensland