Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Metacognition in Mathematics Education written by Marcel Veenman and published by . This book was released on 2006 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Problem Solving written by Berinderjeet Kaur and published by World Scientific. This book was released on 2009 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Problem Solving written by Frank K. Lester and published by . This book was released on 1982 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Download or read book Metacognition Strategy Use and Instruction written by Harriet Salatas Waters and published by Guilford Press. This book was released on 2009-09-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cognitive Science and Mathematics Education written by Alan H. Schoenfeld and published by Routledge. This book was released on 2013-04-03 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Download or read book Metacognition in Learning and Instruction written by Hope J. Hartman and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Metacognition in Science Education written by Anat Zohar and published by Springer Science & Business Media. This book was released on 2011-10-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cognition Metacognition and Culture in STEM Education written by Yehudit Judy Dori and published by Springer. This book was released on 2017-12-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book PISA 2012 Results Creative Problem Solving Volume V Students Skills in Tackling Real Life Problems written by OECD and published by OECD Publishing. This book was released on 2014-04-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume of PISA 2012 results presents an assessment of student performance in problem solving, which measures students’ capacity to respond to non-routine situations in order to achieve their potential as constructive and reflective citizens.
Download or read book Implementing Standards based Mathematics Instruction written by Mary Kay Stein and published by Teachers College Press. This book was released on 2000 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.
Download or read book Problem Solving in Mathematics Education written by Peter Liljedahl and published by Springer. This book was released on 2016-06-27 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
Download or read book The Psychology of Problem Solving written by Janet E. Davidson and published by Cambridge University Press. This book was released on 2003-06-09 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems are a central part of human life. The Psychology of Problem Solving organizes in one volume much of what psychologists know about problem solving and the factors that contribute to its success or failure. There are chapters by leading experts in this field, including Miriam Bassok, Randall Engle, Anders Ericsson, Arthur Graesser, Keith Stanovich, Norbert Schwarz, and Barry Zimmerman, among others. The Psychology of Problem Solving is divided into four parts. Following an introduction that reviews the nature of problems and the history and methods of the field, Part II focuses on individual differences in, and the influence of, the abilities and skills that humans bring to problem situations. Part III examines motivational and emotional states and cognitive strategies that influence problem solving performance, while Part IV summarizes and integrates the various views of problem solving proposed in the preceding chapters.
Download or read book PISA The PISA 2003 Assessment Framework Mathematics Reading Science and Problem Solving Knowledge and Skills written by OECD and published by OECD Publishing. This book was released on 2004-03-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The PISA 2003 Assessment Framework presents the conceptual underpinning of the PISA 2003 assessments. Within each assessment area, the volume defines the content that students need to acquire, the processes that need to be performed and the contexts in which knowledge and skills are applied.
Download or read book The Learning Paradigm College written by John Tagg and published by Jossey-Bass. This book was released on 2003-04-04 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Learning Paradigm College, John Tagg builds on the ground-breaking Change magazine article he coauthored with Robert Barr in 1995, “From Teaching to Learning; A New Paradigm for Undergraduate Education.” That piece defined a paradigm shift happening in American higher education, placing more importance on learning outcomes and less on the quantity of instruction. As Tagg defines it, “Where the Instruction Paradigm highlights formal processes, the Learning Paradigm emphasizes results or outcomes. Where the Instruction Paradigm attends to classes, the Learning Paradigm attends to students.” The Learning Paradigm College presents a new lens through which faculty and administrators can see their own institutions and their own work. The book examines existing functional frameworks and offers a way to reenvision and recast many familiar aspects of college work and college life, so that readers may better understand their learners and move toward a framework that focuses on learning outcomes. Divided into five parts, the book introduces the Learning Paradigm, concentrates on understanding our learners, provides a framework for producing learning, discusses the six essential features of the Learning Paradigm college, and focuses on how to become a Learning Paradigm college. Eminently clear and accessible descriptions of the features of the Learning Paradigm are paired with examples of how institutions of higher education around the country are transforming themselves into Learning Paradigm colleges. The Learning Paradigm College is both hopeful and realistic about what all those involved in higher education can achieve.
Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Taxonomy of Metacognition written by Pina Tarricone and published by Psychology Press. This book was released on 2011-02-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metacognition is a complex construct which is fundamental to learning. Its complex, fuzzy and multifaceted nature has often led to its colloquial application in research, resulting in studies that fail to identify its theoretical foundation or elements. In response to this, the research community continues to call for a comprehensive understanding of the construct of metacognition. This book is a response to this call for clarity. Pina Tarricone provides a theoretical study of the construct of metacognition in terms of psychological theory. The first part of the book analyses the relationship between reflection and metacognition, and the second part goes on to analyse the construct of metamemory as the foundation of metacognition. The third and final part of the book analyses the construct of metacognition to present the final conceptual framework of metacognition and the taxonomy of metacognition. This framework builds a picture and a nexus of the construct through visual links to the related concepts that contribute to what is known as metacognition. The Taxonomy of Metacognition provides a comprehensive representation and categorisation of all of the terms, concepts, categories, supercategories, subcategories and elements of metacognition. It clarifies the construct so that researchers and teachers can develop a better understanding of it. This important and broad ranging contribution can be applied to many related areas, by researchers, psychologists, teachers and any profession interested in psychological learning processes.
