Download or read book Psychology Of Problem Solving The The Background To Successful Mathematics Thinking written by Virgadamo Danielle Sauro and published by World Scientific. This book was released on 2019-08-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.
Download or read book The Psychology of Problem Solving written by Alfred S. Posamentier and published by . This book was released on 2019 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Nature of Mathematical Thinking written by Robert J. Sternberg and published by Routledge. This book was released on 2012-10-12 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.
Download or read book The Psychology of Problem Solving written by Janet E. Davidson and published by Cambridge University Press. This book was released on 2003-06-09 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Download or read book The Development of Mathematical Thinking written by Herbert Ginsburg and published by . This book was released on 1983 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Psychology Behind Mathematics The Comprehensive Guide written by VIRUTI SATYAN SHIVAN and published by Viruti Satyan Shivan. This book was released on with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dive into the fascinating intersection of mind and math with "Psychology Behind Mathematics: The Comprehensive Guide." This book offers an unparalleled exploration into how psychological principles shape our understanding and capabilities in mathematics. It sheds light on the cognitive processes, learning strategies, and emotional factors that influence mathematical comprehension and problem-solving skills. By bridging the gap between abstract numerical concepts and tangible psychological insights, this guide promises to transform your approach to mathematics, making it more accessible, enjoyable, and profoundly rewarding. Without relying on images or illustrations to avoid copyright issues, the book meticulously presents complex ideas through vivid descriptions and compelling narratives, ensuring a rich and immersive learning experience. Whether you're a student struggling with numbers, a teacher seeking innovative teaching strategies, or simply a math enthusiast curious about the psychological aspects of this universal language, this book is your key to unlocking a deeper, more intuitive understanding of mathematics. It goes beyond traditional methods to present a holistic view of the mathematical mind, incorporating research findings, case studies, and practical exercises. "Psychology Behind Mathematics: The Comprehensive Guide" is not just a book; it's a journey into the heart of mathematics through the lens of psychology, promising to enlighten, inspire, and empower its readers.
Download or read book Affect and Mathematical Problem Solving written by Douglas B. McLeod and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.
Download or read book Problem Solving written by Karla Newton and published by . This book was released on 2016 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life is a series of coping with a variety of problems. Major or minor problems arise for us all the time, and our life is filled with them. Thus, we need to engage in constant problem-solving in our daily lives. This book reviews strategies, challenges and outcomes of problem-solving. Chapter One discusses computational thinking and fuzzy logic in problem solving. Chapter Two reviews digital technologies and mathematical problem solving. Chapter Three deals with the concept of Einstellung effect - a psychological phenomenon evinced by problem solvers through a tendency (mind set) to use previously learned workable strategy in situations that either can be resolved more efficiently or to which the strategy is not applicable at all. Chapter Four gives an overview of the research on the use of narrative Context Rich Problems (CRP) in physics education at the upper secondary and higher education levels. Chapter Five examines teaching and assessing story problems. Chapter Six assesses the interpersonal problem-solving process. Chapter Seven discusses validations and outcomes of a multi-dimensional scale to measure strategies for solving personal problems. In Chapter Eight, the ability for solving problems in our day-to-day lives, called social problem-solving is addressed. Chapter Nine examines the relationship between social problem solving and some mediator and moderator variables among 12- and 16-year-old Hungarian students. Chapter Ten investigates the effect of improving young students' self-regulatory strategies on their persistence to face and overcome cognitive obstacles and their problem-solving ability. Chapter Eleven discusses improving undergraduate student generic problem solving skills by using problem-based learning in large classroom settings. Chapter Twelve presents problem-solving therapy (PST) as an effective intervention to prevent or reduce psychopathology and to enhance positive well-being by helping individuals cope more effectively with stressful life problems. Chapter Thirteen investigates the status of Problem Solving in our modern society, and explores perspectives in the forthcoming Third Industrial Revolution.
Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.
Download or read book Mathematical Thinking and Problem Solving written by Alan H. Schoenfeld and published by Routledge. This book was released on 2016-05-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Download or read book The Psychology of Mathematics written by S. T. Cargill and published by Kessinger Publishing. This book was released on 2005-12 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Download or read book Mathematical Problem Solving written by Frank K. Lester and published by . This book was released on 1982 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An introduction provides an overview of each paper. The papers focus on the psychology of mathematical problem solving (R. E. Mayer), knowledge organization (E. A. Silver), implications from information-processing psychology, (D. J. Briars) building bridges between psychological and mathematics education research (F. K. Lester, Jr.), measuring problem solving outcomes (G. A. Goldin), a model for elementary teacher training in problem solving (J. F. LeBlanc), applied problem solving (R. Lesh, and M. Akerstrom), a concept-learning perspective (R. J. Shumway), and a statement of issues (H. L. Schoen). (MNS)
Download or read book Problem Solving in Mathematics Education written by Peter Liljedahl and published by Springer. This book was released on 2016-06-27 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
Download or read book Psychological Studies in the Teaching Learning and Assessment of Mathematics written by Yiming Cao and published by Frontiers Media SA. This book was released on 2024-05-31 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.
Download or read book Toward a Unified Theory of Problem Solving written by Mike U. Smith and published by Psychology Press. This book was released on 1991 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1990. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Problem Solving written by S. Ian Robertson and published by Psychology Press. This book was released on 2016-11-10 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The way that we assess and overcome problems is an essential part of everyday life. Problem Solving provides a clear introduction to the underlying mental processes involved in solving problems. Drawing on research from cognitive psychology and neuroscience, it examines the methods and techniques used by both novices and experts in familiar and unfamiliar situations. This edition has been comprehensively updated throughout, and now features cutting-edge content on creative problem solving, insight and neuroscience. Each chapter is written in an accessible way, and contains a range of student-friendly features such as activities, chapter summaries and further reading. The book also provides clear examples of studies and approaches that help the reader fully understand important and complex concepts in greater detail. Problem Solving fully engages the reader with the difficulties and methodologies associated with problem solving. This book will be of great use to undergraduate students of cognitive psychology, education and neuroscience, as well as readers and professionals with an interest in problem solving.
