[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 : 39,51 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 : 26,85 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 : 17,77 MB
Release : 2003-06-09
Category : Education
ISBN : 0521793335

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Table of contents

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
Page : 426 pages
File Size : 17,19 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 1483295486

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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.

Author : VIRUTI SATYAN SHIVAN
Publisher : Viruti Satyan Shivan
Page : 205 pages
File Size : 44,64 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 : Douglas B. McLeod
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 18,14 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 : Karla Newton
Publisher :
Page : 284 pages
File Size : 34,41 MB
Release : 2016
Category : Medical
ISBN : 9781634855525

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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.

Author : Peter Liljedahl
Publisher : Springer
Page : 362 pages
File Size : 23,82 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.