"Teaching through problem-solving" is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students' reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Although scientists have effectively employed the concepts of probability to address the complex problem of prediction, modern science still falls short in establishing true predictions with meaningful lead times of zero-probability major disasters. The recent earthquakes in Haiti, Chile, and China are tragic reminders of the critical need for improved methods of predicting natural disasters. Drawing on their vast practical experience and theoretical studies, Dr. Yi Lin and Professor Shoucheng OuYang examine some of the problems that exist in the modern system of science to provide the understanding required to improve our ability to forecast and prepare for such events. Presenting a series of new understandings, theories, and a new system of methodology, Irregularities and Prediction of Major Disasters simplifies the world-class problem of prediction into a series of tasks that can be learned, mastered, and applied in the analysis and prediction of forthcoming changes in materials or fluids. These internationally respected authors introduce their novel method of digitization for dealing with irregular information, proven effective for predicting transitional changes in events. They also: Unveil a new methodology for forecasting zero-probability natural disasters Highlight the reasons for common forecasting failures Propose a method for resolving the mystery of nonlinearity Include numerous real-life case studies that illustrate how to properly digitize available information Supply proven methods for forecasting small-probability natural disasters This authoritative resource provides a systematic discussion of the non-evolutionality of the modern system of science-analyzing its capabilities and limitations. By touching on the n

This mono graph is intended for an advanced undergraduate or graduate course as weIl as for the researchers who want a compilation of developments in this rapidly growing field of operations research. This is a sequel to our previous work entitled "Multiple Objective Decision Making--Methods and Applications: A State-of-the-Art Survey," (No. 164 of the Lecture Notes). The literature on methods and applications of Multiple Attribute Decision Making (MADM) has been reviewed and classified systematically. This study provides readers with a capsule look into the existing methods, their char acteristics, and applicability to analysis of MADM problems. The basic MADM concepts are defined and a standard notation is introduced in Part 11. Also introduced are foundations such as models for MADM, trans formation of attributes, fuzzy decision rules, and methods for assessing weight. A system of classifying seventeen major MADM methods is presented. These methods have been proposed by researchers in diversified disciplines; half of them are classical ones, but the other half have appeared recently. The basic concept, the computational procedure, and the characteristics of each of these methods are presented concisely in Part 111. The computational procedure of each method is illustrated by solving a simple numerical example. Part IV of the survey deals with the applications of these MADM methods."

The purpose of this book is to articulate an aspirational vision for education, one that deeply engages students in complex and meaningful work and prepares students for the personal, social, and societal problems and opportunities facing them and our society. However, simply adopting an aspirational vision for a high quality learning environment isn't the real challenge. Most educators, students, and parents don't need a lot of convincing that schools can and should do more. Many educators espouse ambitious goals for their students, articulating the need for "21st century skills," and classrooms that are more innovative, responsive, and collaborative. However, so many of our classrooms fall woefully short of these goals. That's because knowing the why and the what is sometimes not enough. Teachers need help with the how. Accordingly, this book does not stop at simply articulating a vision of the possible; the book also helps individuals visualize what it can look like, and supports teachers, parents, and other engaged community members as they work towards closing the gap between what is possible and what is currently realized.

In mainstream economics, and particularly in New Keynesian macroeconomics, the booms and busts that characterize capitalism arise because of large external shocks. The combination of these shocks and the slow adjustments of wages and prices by rational agents leads to cyclical movements. In this book, Paul De Grauwe argues for a different macroeconomics model--one that works with an internal explanation of the business cycle and factors in agents' limited cognitive abilities. By creating a behavioral model that is not dependent on the prevailing concept of rationality, De Grauwe is better able to explain the fluctuations of economic activity that are an endemic feature of market economies. This new approach illustrates a richer macroeconomic dynamic that provides for a better understanding of fluctuations in output and inflation.

De Grauwe shows that the behavioral model is driven by self-fulfilling waves of optimism and pessimism, or animal spirits. Booms and busts in economic activity are therefore natural outcomes of a behavioral model. The author uses this to analyze central issues in monetary policies, such as output stabilization, before extending his investigation into asset markets and more sophisticated forecasting rules. He also examines how well the theoretical predictions of the behavioral model perform when confronted with empirical data. Develops a behavioral macroeconomic model that assumes agents have limited cognitive abilities Shows how booms and busts are characteristic of market economies Explores the larger role of the central bank in the behavioral model Examines the destabilizing aspects of asset markets

Experienced base jumpers and other extreme sports athletes have one unwritten rule: self-knowledge. The way you think and the choices you make determine who you are and who you will become. If you know yourself, you will dare to take risks, to go your own way and to change. This rule goes for professionals who aim for high performances too. If you want your performances to have a positive drive, you first have to get to know yourself. Dare to Jump helps you to overcome your fears and gives you three power skills with which you can become the best version of yourself. Someone with a boundless mind-set, a sharp focus and a great amount of trust. You learn why focus is the new IQ, how to train yourself to enter the right flow, and how you build the level of trust within your team.

Now revised and updated, this introduction to decision theory is both accessible and comprehensive, covering topics including decision making under ignorance and risk, the foundations of utility theory, the debate over subjective and objective probability, Bayesianism, causal decision theory, game theory, and social choice theory. No mathematical skills are assumed, with all concepts and results explained in non-technical and intuitive as well as more formal ways. There are now over 140 exercises with solutions, along with a glossary of key terms and concepts. This second edition includes a new chapter on risk aversion as well as updated discussions of numerous central ideas, including Newcomb's problem, prisoner's dilemmas, and Arrow's impossibility theorem. The book will appeal particularly to philosophy students but also to readers in a range of disciplines, from computer science and psychology to economics and political science.

The purpose of this book is to share with teachers a successful coaching model that has been researched, designed, piloted, evaluated and used across a range of schools. It is a peer coaching model which teachers use with teachers. It is a model which, as a coach or coachee, both parties will learn from. While the model is directed to teachers, it is equally applicable and transferable to other professions.The book is clear and concise with relevant background information, a step-by-step process, and includes case studies.

Prospect Theory: For Risk and Ambiguity provides the first comprehensive and accessible textbook treatment of the way decisions are made both when we have the statistical probabilities associated with uncertain future events (risk) and when we lack them (ambiguity). The book presents models, primarily prospect theory, that are both tractable and psychologically realistic. A method of presentation is chosen that makes the empirical meaning of each theoretical model completely transparent. Prospect theory has many applications in a wide variety of disciplines. The material in the book has been carefully organized to allow readers to select pathways through the book relevant to their own interests. With numerous exercises and worked examples, the book is ideally suited to the needs of students taking courses in decision theory in economics, mathematics, finance, psychology, management science, health, computer science, Bayesian statistics, and engineering.

What if you had the power to change ANYTHING in your life? Finances, Health, Happiness, even your DNA. Mind Change will help give you the tools to tap into the tremendous potential of the Mind/Body connection. In a world full of "life hacks," you can finally learn how to "hack" into the biochemistry of your brain. The information within this book has helped countless people transform their lives by changing their minds.

After finding herself at death's door and then healing from numerous "incurable" diseases, Heather McKean was on a mission to help empower others to have their own success story. After diving into the cutting edge information on neuroplasticity, epigenetics, psychoneuroimmunology and more...Mind Change takes key research and ideas and makes them practical and easy to digest. Using concepts from Neuro-Linguistic Programming, Hypnosis, EMDR, EFT, and many other useful tools, Mind Change takes all of the best information and slims it down into a few fast and easy-to-follow steps.

Whether you have "tried everything" and you are still stuck in pain, dis-ease, depression, bad relationships, addiction or you are simply not living your BEST life; Mind Change will enable you to live a healthier and happier life. If you are tired of living in a powerless or victimized state and you are ready to challenge everything you thought you knew, then Mind Change is for you!

Are you ready to change your mind? It's time to explore the newest and most unfamiliar territory known to man...the landscape of our mind. See you on the other side!

Richard Pettigrew offers an extended investigation into a particular way of justifying the rational principles that govern our credences (or degrees of belief). The main principles that he justifies are the central tenets of Bayesian epistemology, though many other related principles are discussed along the way. These are: Probabilism, the claims that credences should obey the laws of probability; the Principal Principle, which says how credences in hypotheses about the objective chances should relate to credences in other propositions; the Principle of Indifference, which says that, in the absence of evidence, we should distribute our credences equally over all possibilities we entertain; and Conditionalization, the Bayesian account of how we should plan to respond when we receive new evidence. Ultimately, then, this book is a study in the foundations of Bayesianism. To justify these principles, Pettigrew looks to decision theory. He treats an agent's credences as if they were a choice she makes between different options, gives an account of the purely epistemic utility enjoyed by different sets of credences, and then appeals to the principles of decision theory to show that, when epistemic utility is measured in this way, the credences that violate the principles listed above are ruled out as irrational. The account of epistemic utility set out here is the veritist's: the sole fundamental source of epistemic utility for credences is their accuracy. Thus, Pettigrew conducts an investigation in the version of Iepistemic utility theory known as accuracy-first epistemology. The book can also be read as an extended reply on behalf of the veritist to the evidentialist's objection that veritism cannot account for certain evidential principles of credal rationality, such as the Principal Principle, the Principle of Indifference, and Conditionalization.

Lara Buchak sets out an original account of the principles that govern rational decision-making in the face of risk. A distinctive feature of these decisions is that individuals are forced to consider how their choices will turn out under various circumstances, and decide how to trade off the possibility that a choice will turn out well against the possibility that it will turn out poorly. The orthodox view is that there is only one acceptable way to do this: rational individuals must maximize expected utility. Buchak's contention, however, is that the orthodox theory (expected utility theory) dictates an overly narrow way in which considerations about risk can play a role in an individual's choices. Combining research from economics and philosophy, she argues for an alternative, more permissive, theory of decision-making: one that allows individuals to pay special attention to the worst-case or best-case scenario (among other 'global features' of gambles). This theory, risk-weighted expected utility theory, better captures the preferences of actual decision-makers. Furthermore, it isolates the distinct roles that beliefs, desires, and risk-attitudes play in decision-making. Finally, contra the orthodox view, Buchak argues that decision-makers whose preferences can be captured by risk-weighted expected utility theory are rational. Thus, Risk and Rationality is in many ways a vindication of the ordinary decision-maker-particularly his or her attitude towards risk-from the point of view of even ideal rationality.

Whilst a great deal of progress has been made in recent decades, concerns persist about the course of the social sciences. Progress in these disciplines is hard to assess and core scientific goals such as discovery, transparency, reproducibility, and cumulation remain frustratingly out of reach. Despite having technical acumen and an array tools at their disposal, today's social scientists may be only slightly better equipped to vanquish error and construct an edifice of truth than their forbears - who conducted analyses with slide rules and wrote up results with typewriters. This volume considers the challenges facing the social sciences, as well as possible solutions. In doing so, we adopt a systemic view of the subject matter. What are the rules and norms governing behavior in the social sciences? What kinds of research, and which sorts of researcher, succeed and fail under the current system? In what ways does this incentive structure serve, or subvert, the goal of scientific progress?

When making decisions, people naturally face uncertainty about the potential consequences of their actions due in part to limits in their capacity to represent, evaluate or deliberate. Nonetheless, they aim to make the best decisions possible. In Decision Theory with a Human Face, Richard Bradley develops new theories of agency and rational decision-making, offering guidance on how 'real' agents who are aware of their bounds should represent the uncertainty they face, how they should revise their opinions as a result of experience and how they should make decisions when lacking full awareness of, or precise opinions on relevant contingencies. He engages with the strengths and flaws of Bayesian reasoning, and presents clear and comprehensive explorations of key issues in decision theory, from belief and desire to semantics and learning. His book draws on philosophy, economics, decision science and psychology, and will appeal to readers in all of these disciplines.

Today's instantaneous and ever-present news stream frequently presents a sensationalized or otherwise distorted view of the world, demanding constant critical engagement on the part of everyday citizens. The Critical Thinker's Guide to Bias, Lies, and Politics in the News reveals the power of critical thinking to make sense of overwhelming and often subjective media by detecting ideology, slant, and spin at work. Building off the Richard Paul and Linda Elder framework for critical thinking, Elder focuses on the internal logic of the news as well as societal influences on the media while illustrating essential elements of trustworthy journalism. With up-to-date discussions of social media, digital journalism, and political maneuvering inside and outside the fourth estate, Fact or Fake is an essential handbook for those who want to stay informed but not influenced by our modern news reporting systems.

Distinguished authors like Daniel Kahneman, Dan Ariely, and Nassim Nicholas Taleb have written much about the flaws in the human brain when it comes time to make a decision. Our intuitions and passions frequently fail us, leading to outcomes we don't want.
In this book, Eyal Winter, Professor of Economics and Director of the Center for the Study of Rationality at the Hebrew University of Jerusalem, wonders: why? If our emotions are so destructive and unreliable, why has evolution left us with them? The answer is that, even though they may not behave in a purely logical manner, our emotions frequently lead us to better, safer, more optimal outcomes.
In fact, as Winter discovers, there is often logic in emotion, and emotion in logic. For instance, many mutually beneficial commitments--such as marriage, or being a member of a team--are only possible when underscored by emotion rather than deliberate thought. The difference between pleasurable music and bad noise is mathematically precise; yet it is also the result of evolution. And our inherent overconfidence--the mathematically impossible fact that most people see themselves as above average--affords us advantages in competing for things we benefit from, like food and money and romance. Other subjects illuminated in the book include the rationality of seemingly illogical feelings like trust, anger, shame, ego, and generosity.
Already a bestseller in Israel, "Rational Emotions" brings together game theory, evolution, and behavioral science to produce a surprising and very persuasive defense of how we think, even when we don't.

Planning and management is increasingly problematic in the real-world environment of spiralling change and uncertainty. Knowledge is incomplete, values are in dispute and the decisions of others are often unpredictable.

Problem structuring methods (PSMs) are now widely accepted within Operational Research and the systems movement, and have generated an impressive record of high-profile applications. This new edition provides easier access to PSMs. Each of five methods is presented from both a theoretical and a practical perspective. The justification for each approach is explained, and an illustration of applying each method is given in a practical case study. New topics in line with the many advances in the field of problem structuring methods are explored and multimethodology is introduced for the first time.

This book does not peddle methods for optimum solutions, but instead shows you how to facilitate an enriched and fluid decision-making process. Participatory methods are explained to assist the formulation and re-formulation of problem solving in an uncertain world.

Offering contributions from leading thinkers in the field and building on the success of the first edition, this theoretical guide and practical source will prove invaluable to students of management, systems and OR and to practitioners negotiating real-life problems in today's complex, conflicting and uncertain business climate.

Reviews of the first edition:

'.....probably the most referenced book by JORS authors over the last 10 years.'
J. Ranyard, Journal of Operational Research Society 51 (12), 2001

' . . . a thought provoking collection of articles, delivering a strong message about the way decision analysis is moving.'
Helen Couclelis, University of California at Santa Barbara, USA

' . . .sets out extremely clearly what soft OR is about . . . the editor and authors deserve all credit.'
M.C. Jackson, Systems Practice

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades. Drawing on work by economic theorists mainly, but also with contributions from political science, philosophy and psychology, the collection shows how the related areas of decision theory and social choice have developed in their applications and moved well beyond the basic models of expected utility and utilitarian approaches to welfare economics.
Containing twenty-three contributions, in many cases by leading figures in their fields, the handbook shows how the normative foundations of economics have changed dramatically as more general and explicit models of utility and group choice have been developed. This is perhaps the first time these developments have been brought together in a manner that seeks to identify and make accessible the recent themes and developments that have been of particular interest to researchers in recent years. The collection will be of particular value to researchers in economics with interests in utility or welfare but it will also be of interest to any social scientist or philosopher interested in theories of rationality or group decision-making.

Behind heart disease and cancer, medical error is now listed as one of the leading causes of death. Of the many medical errors that may lead to injury and death, diagnostic failure is regarded as the most significant. Generally, the majority of diagnostic failures are attributed to the clinicians directly involved with the patient, and to a lesser extent, the system in which they work. In turn, the majority of errors made by clinicians are due to decision making failures manifested by various departures from rationality. Of all the medical environments in which patients are seen and diagnosed, the emergency department is the most challenging. It has been described as a "wicked" environment where illness and disease may range from minor ailments and complaints to severe, life-threatening disorders. The Cognitive Autopsy is a novel strategy towards understanding medical error and diagnostic failure in 42 clinical cases with which the author was directly involved or became aware of at the time. Essentially, it describes a cognitive approach towards root cause analysis of medical adverse events or near misses. Whereas root cause analysis typically focuses on the observable and measurable aspects of adverse events, the cognitive autopsy attempts to identify covert cognitive processes that may have contributed to outcomes. In this clinical setting, no cognitive process is directly observable but must be inferred from the behavior of the individual clinician. The book illustrates unequivocally that chief among these cognitive processes are cognitive biases and other flaws in decision making, rather than knowledge deficits.

Nils Brunsson is one of the leading European organization theorists who has written and researched decision-making in organizations. He has often questioned the rationality of decision-making, and argued that it is as important to understand other consequences of decision-making apart from choice - such things as mobilizing action, allocating responsibility, and legitimizing organizations. These consequences of decisions can influence decision-making and the assumptions about feasible norms that provide their context. Decisions often run counter to actions and are part of what Brunsson calls organizational hypocrisy. Decisions can substitute for action, or decrease the probability of the action they call for. The norm of rationality is far from obvious: sometimes decision-makers can recommend systematic irrationality. This book collects together a wide-range of Nils Brunsson's most important writing on decision-making, brought together in one volume for the first time, with an introduction from the author.