[PDF] Psychology Of Problem Solving The The Background To Successful Mathematics Thinking eBook

Author : Virgadamo Danielle Sauro
Publisher : World Scientific
Page : 168 pages
File Size : 23,81 MB
Release : 2019-08-21
Category : Mathematics
ISBN : 9811205728

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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.

Author : Robert J. Sternberg
Publisher : Routledge
Page : 356 pages
File Size : 12,36 MB
Release : 2012-10-12
Category : Education
ISBN : 1136487506

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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.

Author : Janet E. Davidson
Publisher : Cambridge University Press
Page : 409 pages
File Size : 17,34 MB
Release : 2003-06-09
Category : Education
ISBN : 0521793335

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Table of contents

Author : VIRUTI SATYAN SHIVAN
Publisher : Viruti Satyan Shivan
Page : 205 pages
File Size : 11,60 MB
Release :
Category : Business & Economics
ISBN :

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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.

Author : Alan H. Schoenfeld
Publisher : Routledge
Page : 303 pages
File Size : 47,95 MB
Release : 2016-05-06
Category : Education
ISBN : 113544093X

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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.

Author : Douglas B. McLeod
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 15,95 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461236142

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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.

Author : Peter Liljedahl
Publisher : Springer
Page : 362 pages
File Size : 21,96 MB
Release : 2019-02-12
Category : Education
ISBN : 3030104729

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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.

Author : S. Ian Robertson
Publisher : Psychology Press
Page : 296 pages
File Size : 28,48 MB
Release : 2003-09-02
Category : Psychology
ISBN : 1134631014

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Problem solving is an integral part of everyday life yet few books are dedicated to this important aspect of human cognition. In each case, the problem, such as solving a crossword or writing an essay, has a goal. In this comprehensive and timely textbook, the author discusses the psychological processes underlying such goal-directed problem solving, and examines both how we learn from experience of problem solving and how our learning transfers (or often fails to transfer) from one situation to another. Following initial coverage of the methods we use to solve unfamiliar problems, the book goes on to examine the psychological processes involved in novice problem solving before progressing to the methods and processes used by skilled problem solvers or "experts". Topics covered include: how we generate a useful representation of a problem as a starting point; general problem solving strategies we use in unfamiliar situations; possible processes involved in insight or lateral thinking; the nature of problem similarity and the role of analogies in problem solving; understanding and learning from textbooks; and how we develop expertise through the learning of specific problem solving skills. Clear, up-to-date and accessible, Problem Solving will be of interest to undergraduates and postgraduates in cognitive psychology, cognitive science, and educational psychology. The focus on the practical transfer of learning through problem solving will also make it of relevance to educationalists and business psychologists.