Conceptual And Procedural Knowledge
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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 Relationship Between Conceptual And Procedural Knowledge In Calculus
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Author : Janine Esther Hechter
language : en
Publisher:
Release Date : 2020
The Relationship Between Conceptual And Procedural Knowledge In Calculus written by Janine Esther Hechter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Literature describes different stances with respect to conceptual and procedural mathematical knowledge. The concept-driven versus skills-orientated perspectives have led to aÌ22́Ơ¿3math warsaÌ22́Ơ℗+ between researchers, while some mathematics education specialists advocate that the five strands of mathematical proficiency should be seen as interconnected. Conceptual knowledge is the knowledge of concepts or principles, and procedural knowledge the knowledge of procedures. Both types of knowledge are critical components of mathematical proficiency. This study used a mixed methods design to analyse the relationship between conceptual and procedural knowledge. The qualitative content analysis investigated relations between procedural and conceptual knowledge within the solutions of 33 calculus items. The analysis included the number of procedural and conceptual steps needed to answer the item, item label and item classification into one of four knowledge classes based on the type and quality of knowledge. The items were included in a data collection instrument used for quantitative analysis. Rasch analysis was performed to measure item difficulty and person proficiency, and describe the underlying cognitive construct between items. The Rasch personaÌ22́Ơ0́−item map confirmed that items were not clustered together per class and that item difficulty was not linked to the number of procedural and/or conceptual steps needed to do the mathematics. Confirmatory factor analysis showed over-correlation between classes and that defined classes cannot be separated, confirming integration of procedural and conceptual cognitive processes. The relationship between procedural and conceptual knowledge within and between items is complex. Findings indicated that item solutions drew on both procedural and conceptual components that cannot be separated. Solutions could follow more than one approach and analyses could differ, since what is conceptual for one student could be procedural for another. Therefore, teaching strategies should navigate between concepts and procedures, methods and representations.
The Oxford Handbook Of Numerical Cognition
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Author : Roi Cohen Kadosh
language : en
Publisher: Oxford Library of Psychology
Release Date : 2015
The Oxford Handbook Of Numerical Cognition written by Roi Cohen Kadosh and has been published by Oxford Library of Psychology this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Medical 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.
Conceptual And Procedural Knowledge In Mathematical Cognition And Generalization Of Acquired Mathematical Knowledge
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Author : Zee Ying Lim
language : en
Publisher:
Release Date : 2008
Conceptual And Procedural Knowledge In Mathematical Cognition And Generalization Of Acquired Mathematical Knowledge written by Zee Ying Lim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Concept learning categories.
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.
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
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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.
Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.
Conceptual And Procedural Knowledge Of Mathematical Functions
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Author :
language : en
Publisher:
Release Date : 2012
Conceptual And Procedural Knowledge Of Mathematical Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Conceptual And Procedural Knowledge Community College Students Use When Solving A Complex Science Problem
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Author : Janice Lee Steen-Eibensteiner
language : en
Publisher:
Release Date : 2006
Conceptual And Procedural Knowledge Community College Students Use When Solving A Complex Science Problem written by Janice Lee Steen-Eibensteiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
The Interaction Of Children S Conceptual And Procedural Knowledge In Science
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Author : R. Gott
language : en
Publisher:
Release Date :
The Interaction Of Children S Conceptual And Procedural Knowledge In Science written by R. Gott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Education categories.