Metacognition in Mathematics Education

Metacognition in Mathematics Education

Author: Marcel Veenman

Publisher:

Published: 2006

Total Pages: 214

ISBN-13:

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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.


Metacognition in Learning and Instruction

Metacognition in Learning and Instruction

Author: Hope J. Hartman

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 316

ISBN-13: 9401722439

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Unique and stimulating, this book addresses metacognition in both the neglected area of teaching and the more well-established area of learning. It addresses domain-general and domain-specific aspects of metacognition, including applications to the particular subjects of reading, speaking, mathematics, and science. This collection spans theory, research and practice related to metacognition in education at all school levels, from elementary through university.


Handbook of Research on Critical Thinking Strategies in Pre-Service Learning Environments

Handbook of Research on Critical Thinking Strategies in Pre-Service Learning Environments

Author: Mariano, Gina J.

Publisher: IGI Global

Published: 2019-01-25

Total Pages: 683

ISBN-13: 1522578242

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Learning strategies for critical thinking are a vital part of today’s curriculum as students have few additional opportunities to learn these skills outside of school environments. Therefore, it is of utmost importance for pre-service teachers to learn how to infuse critical thinking skill development in every academic subject to assist future students in developing these skills. The Handbook of Research on Critical Thinking Strategies in Pre-Service Learning Environments is a collection of innovative research on the methods and applications of critical thinking that highlights ways to effectively use critical thinking strategies and implement critical thinking skill development into courses. While highlighting topics including deep learning, metacognition, and discourse analysis, this book is ideally designed for educators, academicians, researchers, and students.


Cognition, Metacognition, and Culture in STEM Education

Cognition, Metacognition, and Culture in STEM Education

Author: Yehudit Judy Dori

Publisher: Springer

Published: 2017-12-01

Total Pages: 380

ISBN-13: 3319666592

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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


Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12

Author: John Hattie

Publisher: Corwin Press

Published: 2016-09-15

Total Pages: 209

ISBN-13: 1506362958

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Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.


Mathematical Problem Solving

Mathematical Problem Solving

Author: ALAN H. SCHOENFELD

Publisher: Elsevier

Published: 2014-06-28

Total Pages: 426

ISBN-13: 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.


Handbook of Metacognition in Education

Handbook of Metacognition in Education

Author: Douglas J. Hacker

Publisher: Routledge

Published: 2009-06-15

Total Pages: 462

ISBN-13: 1135591946

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Providing comprehensive coverage of the theoretical bases of metacognition and its applications to educational practice, this compendium of focused and in-depth discussions from leading scholars in the field: represents an intersection of education, cognitive science, and technology; serves as a gateway to the literature for researchers and practitioners interested in one or more of the wide array of topics included; and sets the standard for scholarship for theoretical research and practical applications in this field. The Handbook of Metacognition in Education — covering Comprehension Strategies, Metacognitive Strategies, Metacomprehension, Writing, Science and Mathematics, Individual Differences, Self-Regulated Learning, Technology, Tutoring, and Measurement — is an essential resource for researchers, faculty, students, curriculum developers, teachers, and others interested in using research and theory on metacognition to guide and inform educational practice.


Metacognition in Science Education

Metacognition in Science Education

Author: Anat Zohar

Publisher: Springer Science & Business Media

Published: 2011-10-20

Total Pages: 281

ISBN-13: 9400721323

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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.


Empowering Mathematics Learners: Yearbook 2017, Association Of Mathematics Educators

Empowering Mathematics Learners: Yearbook 2017, Association Of Mathematics Educators

Author: Berinderjeet Kaur

Publisher: World Scientific

Published: 2017-04-12

Total Pages: 395

ISBN-13: 9813224231

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This book contributes towards the literature in the field of mathematics education, specifically on aspects of empowering learners of mathematics. The book, comprising eighteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to empower learners of mathematics.The chapters in the book can be classified into four sections. The four sections focus on how learners could be empowered in their learning, cognitive and affective processes, through mathematical content, purposefully designed mathematical tasks, whilst developing 21st century competencies.


Think!: Metacognition-powered Primary Teaching

Think!: Metacognition-powered Primary Teaching

Author: Anoara Mughal

Publisher: SAGE

Published: 2021-09-15

Total Pages: 163

ISBN-13: 1529760690

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The perfect guide to help you embed metacognitive approaches to your teaching. What is metacognition and how can you use it in your teaching? Metacognition – being aware of our own ways of thinking – is popular in education, but it is not always obvious how it links to teaching practice and how to teach it explicitly. This book translates meaningful concepts from research literature not only into practical strategies to try in your classroom but also gives you the opportunity to reflect on metacognitive strategies that you already use. Key topics include: Metacognitive strategies in a range of subjects, including English and mathematics Dismantling metacognitive misconceptions How to use metacognition to improve test performance The importance of developing a growth mindset How to develop self-regulation in the classroom