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Conceptual And Procedural Knowledge


Conceptual And Procedural Knowledge
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Conceptual And Procedural Knowledge


Conceptual And Procedural Knowledge
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Author : James Hiebert
language : en
Publisher: Routledge
Release Date : 2013-08-21

Conceptual And Procedural Knowledge written by James Hiebert and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-21 with Education categories.


First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.



Oxford Handbook Of Numerical Cognition


Oxford Handbook Of Numerical Cognition
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Author : Roi Cohen Kadosh
language : en
Publisher: Oxford University Press
Release Date : 2015-07-30

Oxford Handbook Of Numerical Cognition written by Roi Cohen Kadosh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Psychology categories.


How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.



Re Conceptualizing Procedural Knowledge


Re Conceptualizing Procedural Knowledge
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Author : Jon Robert Star
language : en
Publisher:
Release Date : 2001

Re Conceptualizing Procedural Knowledge written by Jon Robert Star and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




The Development Of Mathematical Skills


The Development Of Mathematical Skills
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Author : Chris Donlan
language : en
Publisher: Psychology Press
Release Date : 2022-02-16

The Development Of Mathematical Skills written by Chris Donlan and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Psychology categories.


Current research into the psychology of children's mathematics is extremely diverse. The present volume reflects this diversity; it is unique in its breadth, bringing together accounts of cutting-edge research from widely differing, sometimes opposing viewpoints. The reader with a grounding in developmental psychology but no knowledge of mathematical development will enjoy a wide ranging and challenging summary of current trends. Those already familiar with some of the work may take the opportunity to broaden their knowledge and to evaluate new methodologies and the insights they offer. The book is an invitation to explore a complex set of phenomena for which no unitary explanation can be offered. It aims to show that apparently disparate research perspectives may be complementary to each other; and to suggest that progress towards a comprehensive account of mathematical skills may require a broad-based understanding of research from more than one viewpoint.



Conceptual And Procedural Knowledge


Conceptual And Procedural Knowledge
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Author : James Hiebert
language : en
Publisher: Routledge
Release Date : 2013-08-21

Conceptual And Procedural Knowledge written by James Hiebert and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-21 with Education categories.


First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.



The Cambridge Handbook Of Cognition And Education


The Cambridge Handbook Of Cognition And Education
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Author : John Dunlosky
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-07

The Cambridge Handbook Of Cognition And Education written by John Dunlosky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Psychology categories.


This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.



Learning To Teach Mathematics


Learning To Teach Mathematics
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Author : Randall J. Souviney
language : en
Publisher: Simon & Schuster Books For Young Readers
Release Date : 1994

Learning To Teach Mathematics written by Randall J. Souviney and has been published by Simon & Schuster Books For Young Readers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Education categories.




What Is Mathematics School Guide To Conceptual Understanding Of Mathematics


What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2021-01-18

What Is Mathematics School Guide To Conceptual Understanding Of Mathematics written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Education categories.


This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.



Structural Knowledge


Structural Knowledge
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Author : David H. Jonassen
language : en
Publisher: Routledge
Release Date : 2013-05-13

Structural Knowledge written by David H. Jonassen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Education categories.


This book introduces the concept of a hypothetical type of knowledge construction -- referred to as structural knowledge -- that goes beyond traditional forms of information recall to provide the bases for knowledge application. Assuming that the validity of the concept is accepted, the volume functions as a handbook for supporting the assessment and use of structural knowledge in learning and instructional settings. It's descriptions are direct and short, and its structure is consistent. Almost all of the chapters describe a technique for representing and assessing structural knowledge acquisition, conveying knowledge structures through direct instruction, or providing learners with strategies that they may use to acquire structural knowledge. These chapters include the following sections in the same sequence: * description of the technique and its theoretical or conceptual rationale * examples and applications * procedures for development and use * effectiveness -- learner interactions and differences, and advantages and disadvantages * references to the literature. The chapters are structured to facilitate access to information as well as to illuminate comparisons and contrasts among the techniques.



Learning To Solve Problems


Learning To Solve Problems
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Author : David H. Jonassen
language : en
Publisher: John Wiley & Sons
Release Date : 2004-05-03

Learning To Solve Problems written by David H. Jonassen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-03 with Business & Economics categories.


Learning to Solve Problems is a much-needed book thatdescribes models for designing interactive learning environments tosupport how to learn and solve different kinds of problems. Using aresearch-based approach, author David H. Jonassen?a recognizedexpert in the field?shows how to design instruction to supportthree kinds of problems: story problems, troubleshooting, and caseand policy analysis problems. Filled with models and job aids, thisbook describes different approaches for representing problems tolearners and includes information about technology-based tools thatcan help learners mentally represent problems for themselves.Jonassen also explores methods for associating different solutionsto problems and discusses various processes for reflecting on theproblem solving process. Learning to Solve Problems alsoincludes three methods for assessing problem-solvingskills?performance assessment, component skills; and argumentation.