Probabilistic Thinking
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| Author | : Egan J. Chernoff |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 746 |
| Release | : 2013-12-05 |
| Genre | : Education |
| ISBN | : 940077155X |
This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.
| Author | : Shane Parrish |
| Publisher | : Penguin |
| Total Pages | : 209 |
| Release | : 2024-10-15 |
| Genre | : Business & Economics |
| ISBN | : 0593719972 |
Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
| Author | : Ariel Amir |
| Publisher | : Cambridge University Press |
| Total Pages | : 243 |
| Release | : 2020-12-17 |
| Genre | : Mathematics |
| ISBN | : 1108479529 |
An introductory text providing the reader with a thorough background to the rich world of applications of stochastic processes.
| Author | : H. Fischbein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 228 |
| Release | : 1975-11-30 |
| Genre | : Psychology |
| ISBN | : 9027706263 |
About a year ago I promised my friend Fischbein a preface to his book of which I knew the French manuscript. Now with the printer's proofs under my eyes I like the book even better than I did then, because of, and influenced by, new experiences in the meantime, and fresh thoughts that crossed my mind. Have I been influenced by what I remembered from the manuscript? If so, it must have happened unconsciously. But of course, what struck me in this work a year ago, struck a responsive chord in my own mind. In the past, mathematics teaching theory has strongly been influenced by a view on mathematics as a heap of concepts, and on learning mathematics as concepts attainment. Mathematics teaching practice has been jeopardised by this theoretical approach, which in its most dangerous form expresses itself as a radical atomism. To concepts attainment Fischbein opposes acquisition of intuitions. In my own publications I avoided the word "intuition" because of the variety of its meanings across languages. For some time I have used the term "constitution of mathematical objects", which I think means the same as Fischbein's "acquisition of intuitions" - indeed as I view it, constituting a mental object precedes its conceptualising, and under this viewpoint I tried to observe mathematical activities of young children.
| Author | : Gaurav Garg |
| Publisher | : Gaurav Garg |
| Total Pages | : 151 |
| Release | : 2024-08-22 |
| Genre | : Mathematics |
| ISBN | : |
In a world obsessed with certainty, this book dares to embrace the unknown. "Dancing with Uncertainty" isn't just a catchy title—it's a revolutionary approach to navigating the complexities of modern life. Within these pages, you'll discover how to harness the power of probabilistic thinking to make better decisions, manage risks, and find opportunities where others see only chaos. From the boardroom to the bedroom, from financial investments to personal relationships, this book will transform the way you view the world. Key concepts you'll explore include: The Probabilistic Mindset: Learn to see life as a series of probabilities rather than absolutes. The 60/40 Rule: A practical guide to decision-making in uncertain situations. Expected Value Calculations: Maximize your 'life ROI' by understanding the true value of your choices. The Monte Carlo Method: Simulate multiple futures to prepare for any outcome. Bayesian Thinking: Update your beliefs intelligently as new information comes to light. But this isn't just a dry textbook. It's filled with real-life examples, practical exercises, and even a dash of humor. You'll learn from poker players, stock traders, meteorologists, and everyday people who've used probabilistic thinking to achieve extraordinary results. "In an uncertain world, the only mistake is to be unprepared. This book is your guide to turning uncertainty into your greatest advantage." Whether you're a CEO making high-stakes decisions, a student planning your future, or simply someone looking to navigate life with more confidence, "Dancing with Uncertainty" offers a new lens through which to view the world. So, are you ready to embrace the power of probability? To see opportunities where others see only risk? To dance with uncertainty and lead a richer, more calculated life? Open this book, and take your first step into a larger, more probabilistic world.
| Author | : H. Fischbein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 221 |
| Release | : 2012-12-06 |
| Genre | : Psychology |
| ISBN | : 9401018588 |
About a year ago I promised my friend Fischbein a preface to his book of which I knew the French manuscript. Now with the printer's proofs under my eyes I like the book even better than I did then, because of, and influenced by, new experiences in the meantime, and fresh thoughts that crossed my mind. Have I been influenced by what I remembered from the manuscript? If so, it must have happened unconsciously. But of course, what struck me in this work a year ago, struck a responsive chord in my own mind. In the past, mathematics teaching theory has strongly been influenced by a view on mathematics as a heap of concepts, and on learning mathematics as concepts attainment. Mathematics teaching practice has been jeopardised by this theoretical approach, which in its most dangerous form expresses itself as a radical atomism. To concepts attainment Fischbein opposes acquisition of intuitions. In my own publications I avoided the word "intuition" because of the variety of its meanings across languages. For some time I have used the term "constitution of mathematical objects", which I think means the same as Fischbein's "acquisition of intuitions" - indeed as I view it, constituting a mental object precedes its conceptualising, and under this viewpoint I tried to observe mathematical activities of young children.
| Author | : Raymond S. Nickerson |
| Publisher | : Psychology Press |
| Total Pages | : 798 |
| Release | : 2004-06-24 |
| Genre | : Business & Economics |
| ISBN | : 113561461X |
Lack of ability to think probabilistically makes one prone to a variety of irrational fears and vulnerable to scams designed to exploit probabilistic naiveté, impairs decision making under uncertainty, facilitates the misinterpretation of statistical information, and precludes critical evaluation of likelihood claims. Cognition and Chance presents an overview of the information needed to avoid such pitfalls and to assess and respond to probabilistic situations in a rational way. Dr. Nickerson investigates such questions as how good individuals are at thinking probabilistically and how consistent their reasoning under uncertainty is with principles of mathematical statistics and probability theory. He reviews evidence that has been produced in researchers' attempts to investigate these and similar types of questions. Seven conceptual chapters address such topics as probability, chance, randomness, coincidences, inverse probability, paradoxes, dilemmas, and statistics. The remaining five chapters focus on empirical studies of individuals' abilities and limitations as probabilistic thinkers. Topics include estimation and prediction, perception of covariation, choice under uncertainty, and people as intuitive probabilists. Cognition and Chance is intended to appeal to researchers and students in the areas of probability, statistics, psychology, business, economics, decision theory, and social dilemmas.
| Author | : Jaakko Hintikka |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 379 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 940172766X |
The two volumes to which this is apreface consist of the Proceedings of the Second International Conference on History and Philosophy of Science. The Conference was organized by the Joint Commission of the International Union of History and Philosophy of Science (IUHPS) under the auspices of the IUHPS, the Italian Society for Logic and Philosophy of Science, and the Domus Galilaeana of Pisa, headed by Professor Vincenzo Cappelletti. Domus Galilaeana also served as the host institution, with some help from the University of Pisa. The Conference took place in Pisa, Italy, on September 4-8, 1978. The editors of these two volumes of the Proceedings of the Pisa Conference acknowledge with gratitude the help by the different sponsoring organizations, and in the first place that by both Divisions of the IUHPS, which made the Conference possible. A special recognition is due to Professor Evandro Agazzi, President of the Italian Society for Logic and Philosophy of Science, who was co opted as an additional member of the Organizing Committee. This committee was otherwise identical with the Joint Commission, whose members were initially John Murdoch, John North, Arpad Szab6, Robert Butts, Jaakko Hintikka, and Vadim Sadovsky. Later, Erwin Hiebert and Lubos Novy were appointed as additional members.
| Author | : Patrick Leach |
| Publisher | : |
| Total Pages | : 197 |
| Release | : 2006 |
| Genre | : Business |
| ISBN | : 9780964793859 |
Decision making 101 for executives. A solid overview of the key decision analysis concepts sprinkled with pearls of wisdom and wry humor. Explains the language of risk, uncertainty, and decision making.
| Author | : Graham A. Jones |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2005-03-21 |
| Genre | : Education |
| ISBN | : 9780387245294 |
Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.
