Download or read book How to Solve Problems written by Wayne A. Wickelgren and published by W.H. Freeman. This book was released on 1974-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examples help explain the seven basic mathematical problem-solving methods, including inference, classification of action sequences, working backward, and contradiction

Download or read book Social Problem Solving written by Thomas J. D'Zurilla and published by Amer Psychological Assn. This book was released on 2004-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We put together a book that would offer readers multiple perspectives, insights, and directions in understanding social problem solving as an important theory that has driven wide-ranging scientific research and as an important means of training to empower and elevate the lives of individuals. We believe that social problem solving can help individuals free themselves from the problems they face or the distress that these problems cause. We recognize that some problems may be difficult or impossible to solve, but we believe that considerable value remains in understanding and promoting effective social problem solving to foster the novel insights and methods in which problems that seem insurmountable ultimately may be conquered in incremental steps, across time and across individuals. Moreover, we believe that problems can be solved in different ways. When problematic situations or circumstances are manageable or controllable, a good problem solver tries to find ways to change them for the better. However, when such situations or circumstances are unchangeable or uncontrollable, one can still use problem solving to find ways to accept and tolerate with less distress that which cannot be changed or controlled"--Preface. (PsycINFO Database Record (c) 2005 APA, all rights reserved)

Download or read book Theory of Constraints written by Umesh P. Nagarkatte and published by CRC Press. This book was released on 2017-11-27 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to assist professionals and students to become proactive in their own education, improve thinking, resolve personal and interpersonal conflicts, improve pedagogy, manage departmental affairs and guide administrative decisions. The text captures the practical experience of the authors with and formal training in TOC to address many of the issues facing today’s education stakeholders. The text is designed to teach methods for 1) "win-win" conflict resolution, 2) decision-making, 3) problem solving, and 4) analysis of systems using TOC’s powerful logic-based graphical Thinking Process tools. A creative thinker can identify, plan and achieve his or her goals just knowing the Thinking Process Tools.

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Download or read book Research and Practice on the Theory of Inventive Problem Solving TRIZ written by Leonid Chechurin and published by Springer. This book was released on 2016-09-12 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book clarifies the common misconception that there are no systematic instruments to support ideation, heuristics and creativity. Using a collection of articles from professionals practicing the Theory of Inventive Problem Solving (TRIZ), this book presents an overview of current trends and enhancements within TRIZ in an international context, and shows its different roles in enhancing creativity for innovation in research and practice. Since its first introduction by Genrikh Saulovich Altshuller in 1956 in the USSR, the TRIZ method has been widely used by inventors, design engineers and has become a standard element of innovation support tools in many Fortune 500 companies. However, TRIZ has only recently entered the domain of scientific publications and discussion. This collection of articles is meant as a record of scientific discussion on TRIZ that reflects the most interesting talking points, research interests, results and expectations. Topics such as Creative and Inventive Design, Patent Mining, and Knowledge Harvesting are also covered in this book.

Download or read book Everyday Problem Solving written by Jan D. Sinnott and published by Praeger. This book was released on 1989-01-18 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Psychological, educational, gerontological, marketing, and other literatures all report recent research in everyday problem solving, yet few sources have made these various types of results available in one state-of-the-art volume. Everyday Problem Solving makes accessible many of these points of view for all readers, coordinates them, and provides directions from which to formulate new studies. The wide but methodical scope of this work will interest researchers, clinicians, philosophers, marketing specialists, administrators, artificial intelligence scientists, educators, guidance counselors and psychologists. Undergraduate and graduate students in these fields will also find this an invaluable source. The collection of reports includes an examination of models from information processing theory and postformal cognitive developmental theory, and an overview of the tasks used in everyday problem solving research. Several leading theories, including Sinnott's, are applied to describe the thoughts and emotions of adults as they solve illstructured problems. Reports on applied research include: techniques of master teachers; the ways adults resolve conflicts; consumer behavior; academic intelligence; the connection of memory to problem solving; intervention strategies and the elderly.

Download or read book Complex Problem Solving written by Peter A. Frensch and published by Psychology Press. This book was released on 2014-04-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a state-of-the-science review of the most promising current European research -- and its historic roots of research -- on complex problem solving (CPS) in Europe. It is an attempt to close the knowledge gap among American scholars regarding the European approach to understanding CPS. Although most of the American researchers are well aware of the fact that CPS has been a very active research area in Europe for quite some time, they do not know any specifics about even the most important research. Part of the reason for this lack of knowledge is undoubtedly the fact that European researchers -- for the most part -- have been rather reluctant to publish their work in English-language journals. The book concentrates on European research because the basic approach European scholars have taken to studying CPS is very different from one taken by North American researchers. Traditionally, American scholars have been studying CPS in "natural" domains -- physics, reading, writing, and chess playing -- concentrating primarily on exploring novice-expert differences and the acquisition of a complex skill. European scholars, in contrast, have been primarily concerned with problem solving behavior in artificially generated, mostly computerized, complex systems. While the American approach has the advantage of high external validity, the European approach has the advantage of system variables that can be systematically manipulated to reveal the effects of system parameters on CPS behavior. The two approaches are thus best viewed as complementing each other. This volume contains contributions from four European countries -- Sweden, Switzerland, Great Britain, and Germany. As such, it accurately represents the bulk of empirical research on CPS which has been conducted in Europe. An international cooperation started two years ago with the goal of bringing the European research on complex problem solving to the awareness of American scholars. A direct result of that effort, the contributions to this book are both informative and comprehensive.

Download or read book Models of Discovery written by Herbert A. Simon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: We respect Herbert A. Simon as an established leader of empirical and logical analysis in the human sciences while we happily think of him as also the loner; of course he works with many colleagues but none can match him. He has been writing fruitfully and steadily for four decades in many fields, among them psychology, logic, decision theory, economics, computer science, management, production engineering, information and control theory, operations research, confirmation theory, and we must have omitted several. With all of them, he is at once the technical scientist and the philosophical critic and analyst. When writing of decisions and actions, he is at the interface of philosophy of science, decision theory, philosophy of the specific social sciences, and inventory theory (itself, for him, at the interface of economic theory, production engineering and information theory). When writing on causality, he is at the interface of methodology, metaphysics, logic and philosophy of physics, systems theory, and so on. Not that the interdisciplinary is his orthodoxy; we are delighted that he has chosen to include in this book both his early and little-appreciated treatment of straightforward philosophy of physics - the axioms of Newtonian mechanics, and also his fine papers on pure confirmation theory.

Download or read book Group Problem Solving written by Patrick R. Laughlin and published by Princeton University Press. This book was released on 2011-01-24 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental research by social and cognitive psychologists has established that cooperative groups solve a wide range of problems better than individuals. Cooperative problem solving groups of scientific researchers, auditors, financial analysts, air crash investigators, and forensic art experts are increasingly important in our complex and interdependent society. This comprehensive textbook--the first of its kind in decades--presents important theories and experimental research about group problem solving. The book focuses on tasks that have demonstrably correct solutions within mathematical, logical, scientific, or verbal systems, including algebra problems, analogies, vocabulary, and logical reasoning problems. The book explores basic concepts in group problem solving, social combination models, group memory, group ability and world knowledge tasks, rule induction problems, letters-to-numbers problems, evidence for positive group-to-individual transfer, and social choice theory. The conclusion proposes ten generalizations that are supported by the theory and research on group problem solving. Group Problem Solving is an essential resource for decision-making research in social and cognitive psychology, but also extremely relevant to multidisciplinary and multicultural problem-solving teams in organizational behavior, business administration, management, and behavioral economics.

Download or read book TRIZ Theory of Inventive Problem Solving written by Vladimir Petrov and published by Springer. This book was released on 2019-04-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book describes the initial (first) level of studying the theory of inventive problem solving (TRIZ) from the series “TRIZ from A to Z,” and presents the most general methods for solving inventive problems and generating new ideas. Chapter 1 examines traditional technologies for problem solving, based on trial and error. Chapter 2 describes the general concept of TRIZ, while Chapter 3 explains the main notions of “system” approaches, like system thinking, system and its hierarchy, system effect, emergency, synergetic effect and systematicity. In turn, Chapter 4 describes the notion of “ideality” and Chapter 5 addresses the notion of resources, their types, and methods for using them. Chapter 6 acquaints readers with one of the most important aspects of TRIZ: contradiction. Chapter 7 describes the inventive principles, while Chapter 8 includes descriptions of the systems of trends proposed by G. Altshuller and the author. In closing, the author makes recommendations on how to most effectively use TRIZ tools, on how readers can improve their knowledge, skills and habits concerning the use of TRIZ, and on how they can hone their inventive thinking skills. The book also features Appendices that include analyses of selected problems, a list of the main websites related to TRIZ, and lists of examples, problems, illustrations, tables and formulae.

Download or read book Introduction to Number Theory written by Mathew Crawford and published by Ingram. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes motivated solutions to these problems, through which concepts and curriculum of number theory are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains hundreds of problems ... This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of number theory will find this book an instrumental part of their mathematics libraries."--Publisher's website

Download or read book Thinking and Problem Solving written by Robert J. Sternberg and published by Elsevier. This book was released on 1998-05-13 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking and Problem-Solving presents a comprehensive and up-to-date review of literature on cognition, reasoning, intelligence, and other formative areas specific to this field. Written for advanced undergraduates, researchers, and academics, this volume is a necessary reference for beginning and established investigators in cognitive and educational psychology. Thinking and Problem-Solving provides insight into questions such as: how do people solve complex problems in mathematics and everyday life? How do we generate new ideas? How do we piece together clues to solve a mystery, categorize novel events, and teach others to do the same? Provides a comprehensive literature review Covers both historical and contemporary approaches Organized for ease of use and reference Chapters authored by leading scholars

Download or read book Problem Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Download or read book Problem Solving and Selected Topics in Number Theory written by Michael Th. Rassias and published by Springer Science & Business Media. This book was released on 2010-11-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Download or read book Toward a Unified Theory of Problem Solving written by Mike U. Smith and published by Routledge. This book was released on 2012-11-12 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most active fields of educational research in recent years has been the investigation of problem-solving performance. Two opposing views of current research -- one suggesting that there are more differences than similarities within different domains, and the other stating that there is great similarity -- lead to a variety of questions: * Is problem solving a single construct? * Are there aspects of problem-solving performance that are similar across a variety of content domains? * What problem-solving skills learned within one context can be expected to transfer to other domains? The purpose of this book is to serve as the basis for the productive exchange of information that will help to answer these questions -- by drawing together preliminary theoretical understandings, sparking debate and disagreement, raising new questions and directions, and perhaps developing new world views.

Download or read book Real Mathematical Analysis written by Charles Chapman Pugh and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.

Download or read book Schemas in Problem Solving written by Sandra P. Marshall and published by Cambridge University Press. This book was released on 1995-06-30 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schemas in Problem Solving introduces a new approach to the study of learning, instruction, and assessment. Focusing on the area of arithmetic story problems, Marshall shows how instruction can lead to more meaningful learning by emphasizing the ways students acquire and store knowledge in memory. She identifies major knowledge structures called schemas, describes instruction designed around theses structures, and assesses the strengths and weaknesses in the knowledge that the students demonstrate following instruction. To evaluate the success of her approach, Marshall describes traditional experiments and computer simulations of student performance.