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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.
Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426
Get Book Here
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.
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.
Author: Edward A. Silver
Publisher: Routledge
ISBN: 1136561234
Category : Education
Languages : en
Pages : 671
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Book Description
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
Author: Shirley Larkin
Publisher: Routledge
ISBN: 1135220441
Category : Education
Languages : en
Pages : 349
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Book Description
Metacognition is known to be an important factor in academic achievement; however it is also important in a wider life context. The ability to reflect upon how we are thinking can help us to make wiser decisions in all aspects of our life. This book addresses how metacognition might be fostered in young children. Examining theories of particular relevance to primary school age children the author combines her empirical work over the last 8 years with the work of other researchers to show that children of all ages display metacognitive processing, given the right kind of environment. Drawing on evidence from psychology and education, Metacognition in Young Children brings together international research from different curriculum areas. As well as the traditional areas of science, mathematics and literacy, the author considers metacognition in physical education, art, drama and music. The book argues for a development of metacognition theory, which takes account of wider contextual and political factors. This book includes: Real classroom examples, taking account of the whole child, socio-cultural context and the curriculum Practical examples of developing metacognition across the curriculum Advice on building metacognitive environments in the classroom Development of metacognition theory Essential reading for educational psychology and research students, this book will appeal to trainee and practising teachers with an interest in facilitating young children’s development into wise and thoughtful adults. It offers practical advice supported by theory and evidence.
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.
Author: Harriet Salatas Waters
Publisher: Guilford Press
ISBN: 160623384X
Category : Education
Languages : en
Pages : 321
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Book Description
Showcasing exemplary research programs, this book explores how the latest theories and findings on cognitive development can be used to improve classroom instruction. The focus is on how children acquire knowledge about the processes involved in learning—such as remembering, thinking, and problem solving—as well as strategies for mastering new information. The contributors are leading experts who illustrate ways teachers can support the development of metacognition and goal-directed strategy use throughout the school years and in different academic domains. Teacher behaviors and instructional methods that promote these abilities are identified, and innovative assessment approaches and research designs are described.
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)
Author: Yehudit Judy Dori
Publisher: Springer
ISBN: 3319666592
Category : Science
Languages : en
Pages : 380
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Book Description
This book addresses the point of intersection between cognition, metacognition, and culture in learning and teaching Science, Technology, Engineering, and Mathematics (STEM). We explore theoretical background and cutting-edge research about how various forms of cognitive and metacognitive instruction may enhance learning and thinking in STEM classrooms from K-12 to university and in different cultures and countries. Over the past several years, STEM education research has witnessed rapid growth, attracting considerable interest among scholars and educators. The book provides an updated collection of studies about cognition, metacognition and culture in the four STEM domains. The field of research, cognition and metacognition in STEM education still suffers from ambiguity in meanings of key concepts that various researchers use. This book is organized according to a unique manner: Each chapter features one of the four STEM domains and one of the three themes—cognition, metacognition, and culture—and defines key concepts. This matrix-type organization opens a new path to knowledge in STEM education and facilitates its understanding. The discussion at the end of the book integrates these definitions for analyzing and mapping the STEM education research. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
Author: Anat Zohar
Publisher: Springer Science & Business Media
ISBN: 9400721323
Category : Science
Languages : en
Pages : 281
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Book Description
Why is metacognition gaining recognition, both in education generally and in science learning in particular? What does metacognition contribute to the theory and practice of science learning? Metacognition in Science Education discusses emerging topics at the intersection of metacognition with the teaching and learning of science concepts, and with higher order thinking more generally. The book provides readers with a background on metacognition and analyses the latest developments in the field. It also gives an account of best-practice methodology. Expanding on the theoretical underpinnings of metacognition, and written by world leaders in metacognitive research, the chapters present cutting-edge studies on how various forms of metacognitive instruction enhance understanding and thinking in science classrooms. The editors strive for conceptual coherency in the various definitions of metacognition that appear in the book, and show that the study of metacognition is not an end in itself. Rather, it is integral to other important constructs, such as self-regulation, literacy, the teaching of thinking strategies, motivation, meta-strategies, conceptual understanding, reflection, and critical thinking. The book testifies to a growing recognition of the potential value of metacognition to science learning. It will motivate science educators in different educational contexts to incorporate this topic into their ongoing research and practice.
Author: John A. Van de Walle
Publisher: Pearson Education
ISBN: 9780132612265
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction. It is structured for maximum flexibility, offering 23 chapters that may be mixed and matched to fit any course or teaching approach. This comprehensive, practical text offers readers a strong theoretical perspective reflecting the most current research on how students learn mathematics, ways to best teach it, and many problem-based activities to engage students. An important reference to consult throughout a teaching career, Van de Walle, Karp and Bay-William's book helps teachers and their preK-8 students find the excitement that happens when mathematics makes sense.
