Mathematical Problem Solving

Mathematical Problem Solving PDF Author: Frank K. Lester
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 164

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Book Description
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)

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: Frank K. Lester
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 164

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Book Description
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)

Metacognition in Mathematics Education

Metacognition in Mathematics Education PDF Author: Marcel Veenman
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 214

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Book Description
For some decades, theoretical and empirical research has focused on the phenomenon of metacognition and its overwhelming importance to human learning and performance. The real growth in theoretical and empirical studies about metacognition started with the work of Flavell at the end of the 1970s in the context of research on metamemory. The metacognitive concept has been very successful stimulating a lot of studies. The metacognitive research on reading peaked in the 1980s and has levelled since. Metacognition has more recently also been applied to mathematics. Metacognition can be differentiated into two central components, namely metacognitive knowledge and metacognitive processes or skills. In the same vein, Brown (1978) distinguished metacognitive knowledge about the interaction between person, task, and strategies characteristics from the regulation of one's own cognitive activities. The purpose of this book is to help to summarise and clarify some of the issues on the conceptualisation, the assessment and the training of metacognition on mathematical issues in learners with and without mathematics learning disabilities. metacognition in mathematics performance.

The Role of Metacognition in Mathematical Problem Solving

The Role of Metacognition in Mathematical Problem Solving PDF Author: Frank K. Lester
Publisher:
ISBN:
Category :
Languages : en
Pages : 568

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Book Description


Mathematical Problem Solving

Mathematical Problem Solving PDF Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426

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Book Description
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.

Affect and Mathematical Problem Solving

Affect and Mathematical Problem Solving PDF Author: Douglas B. McLeod
Publisher: Springer Science & Business Media
ISBN: 1461236142
Category : Mathematics
Languages : en
Pages : 246

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Book Description
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.

The Role of Metacognition in Children's Mathematical Problem Solving

The Role of Metacognition in Children's Mathematical Problem Solving PDF Author: Dianne Elizabeth Siemon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :

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Book Description


Educational Research and Innovation Critical Maths for Innovative Societies The Role of Metacognitive Pedagogies

Educational Research and Innovation Critical Maths for Innovative Societies The Role of Metacognitive Pedagogies PDF Author: Mevarech Zemira
Publisher: OECD Publishing
ISBN: 9264223568
Category :
Languages : en
Pages : 198

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Book Description
This report looks at a number of published studies on mathematics education that try to understand which education and skills are appropriate for innovative societies.

Adolescent Mathematical Problem Solving

Adolescent Mathematical Problem Solving PDF Author: Corine Fitzpatrick
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Metacognition in Educational Theory and Practice

Metacognition in Educational Theory and Practice PDF Author: Douglas J. Hacker
Publisher: Routledge
ISBN: 1135687412
Category : Education
Languages : en
Pages : 429

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Book Description
This volume presents the most current perspectives on the role of metacognition in diverse educationally relevant domains. The purpose is to examine the ways in which theoretical investigations of metacognition have recently produced a strong focus on educational practice. The book is organized around four general themes relevant to education: metacognition and problem solving, metacognition and verbal comprehension, metacognition and the education of nontraditional populations, and metacognition and studentship. Chapter authors review current literature as it applies to their chapter topic; discuss theoretical implications and suggestions for future research; and provide educational applications. Each chapter describes testable theory and provides examples of how theory can be applied to the classroom. The volume will have wide appeal to researchers and students concerned with the scientific investigation of metacognition, and to practitioners concerned with the cultivation of learning and achievement in their students. The unique contribution of this book to the literature on metacognition is its presentation of the most current research examining specific theoretical aspects of metacognition in domains directly relevant to education. This is especially valuable for the many researchers and practitioners who subscribe to the concept that by fostering metacognitive processes during instruction, more durable and transferable learning can be achieved.

Mathematical Thinking and Problem Solving

Mathematical Thinking and Problem Solving PDF Author: Alan H. Schoenfeld
Publisher: Routledge
ISBN: 113544093X
Category : Education
Languages : en
Pages : 303

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Book Description
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.