Epistemological Beliefs And Critical Thinking In Mathematics
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Epistemological Beliefs And Critical Thinking In Mathematics
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Author : Benjamin Rott
language : en
Publisher:
Release Date : 2021
Epistemological Beliefs And Critical Thinking In Mathematics written by Benjamin Rott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Epistemological beliefs-i.e. beliefs on the nature of knowledge, its limits, sources, and justification-play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. "mathematical knowledge is certain" vs. "uncertain") and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed. The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions. Der Autor Dr. Benjamin Rott is Professor of Mathematics Education at the University of Cologne. His research focuses on mathematical problem solving, beliefs, and giftedness. The present work was written as a postdoctoral thesis (Habilitation) at the University of Education Freiburg.
Epistemological Beliefs And Critical Thinking In Mathematics
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Author : Benjamin Rott
language : en
Publisher: Springer Nature
Release Date : 2021-08-30
Epistemological Beliefs And Critical Thinking In Mathematics written by Benjamin Rott and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-30 with Mathematics categories.
Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.
Personal Epistemology
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Author : Barbara K. Hofer
language : en
Publisher: Routledge
Release Date : 2012-08-21
Personal Epistemology written by Barbara K. Hofer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-21 with Education categories.
This is the first book to provide a comprehensive overview of the theoretical and methodological approaches to the study of personal epistemology from a psychological and educational perspective. Both theory building and empirical research have grown dramatically in the past decade but, until now, this work has not been pulled together in a single volume. That is the mission of this volume whose state-of-the-art theory and research are likely to define the field for the next 20 years. Key features of this important new book include: *Pioneering Contributors--The book provides current perspectives of each of the major theoreticians and researchers who pioneered this growing field, as well as contributions from new researchers. *Diverse Perspectives--The contributors represent a variety of perspectives, including education, educational psychology, developmental psychology, higher education, and science and mathematics education. *Editorial Integration--Opening and closing chapters by the editors set out key issues confronting the field.
Knowing Knowledge And Beliefs
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Author : Myint Swe Khine
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-25
Knowing Knowledge And Beliefs written by Myint Swe Khine and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-25 with Psychology categories.
Bringing together prominent educators and researchers, this book focuses on conceptual and methodological issues relevant to the nature of knowledge and learning. It offers a state-of-the-art theoretical understanding of epistemological beliefs from both educational and psychological perspectives. Readers discover recent advances in conceptualization and epistemological studies across diverse cultures. This is an unbeatable resource for academics and researchers alike.
Links Between Beliefs And Cognitive Flexibility
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Author : Jan Elen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-20
Links Between Beliefs And Cognitive Flexibility written by Jan Elen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-20 with Education categories.
With the world and its structures becoming ever more complex, and the nature of future employment becoming ever more unpredictable, the notion of ‘cognitive flexibility’ has a high profile in educational and psychological debate. The contributions in this volume analyze the nature of cognitive flexibility, as well as the impact of different types of beliefs on cognitive flexibility. Making adequate decisions requires considering input from a variety of continuously evolving sources rather than adhering to predetermined procedures. Adopting a position in a debate necessitates the critical evaluation of different alternatives, while solving a problem entails selecting appropriate problem-solving strategies. Meanwhile, studying requires students to integrate a range of interventions, and treating a patient involves making a differential diagnosis. The common factor, cognitive flexibility, lies at the core of effective functioning in complex, domain-specific environments. Cognitive flexibility can be described as the disposition to consider diverse information elements while deciding on how to solve a problem or to execute a learning-related task in a variety of domains. The concept of ‘disposition’ implies that individuals will not always demonstrate cognitive flexibility even if they are in principle able to act in a cognitively flexible way. The notion does not require that alternatives are always deliberately considered, which is why this volume’s tandem discussion of beliefs is key element of the discussion. Beliefs play a central role in cognitive flexibility and relate to what individuals consider to be important, valid and/or true. Of specific interest is the relationship between epistemological beliefs and cognitive flexibility, especially as a particular subset of epistemological beliefs seems to be a prerequisite to a cognitively flexible disposition.
Mathematical Creativity
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Author : Scott A. Chamberlin
language : en
Publisher: Springer Nature
Release Date : 2022-11-30
Mathematical Creativity written by Scott A. Chamberlin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Education categories.
This book is important and makes a unique contribution in the field of mathematics education and creativity. The book comprises the most recent research by renowned international experts and scholars, as well as a comprehensive up to date literature review. The developmental lens applied to the research presented makes it unique in the field. Also, this book provides a discussion of future directions for research to complement what is already known in the field of mathematical creativity. Finally, a critical discussion of the importance of the literature in relation to development of learners and accordingly pragmatic applications for educators is provided. Many books provide the former (2) foci, but omit the final discussion of the research in relation to developmental needs of learners in the domain of mathematics. Currently, educators are expected to implement best practices and illustrate how their adopted approaches are supported by research. The authors and editors of this book have invested significant effort in merging theory with practice to further this field and develop it for future generations of mathematics learners, teachers and researchers.
Beliefs A Hidden Variable In Mathematics Education
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Author : G.C. Leder
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-28
Beliefs A Hidden Variable In Mathematics Education written by G.C. Leder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-28 with Education categories.
This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
Successful Science And Engineering Teaching
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Author : Calvin S. Kalman
language : en
Publisher: Springer
Release Date : 2017-10-11
Successful Science And Engineering Teaching written by Calvin S. Kalman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Science categories.
The intent of this book is to describe how a professor can provide a learning environment that assists students in coming to grips with the nature of science and engineering, to understand science and engineering concepts, and to solve problems in science and engineering courses. The book is based upon articles published in Science Educational Research and which are grounded in educational research (both quantitative and qualitative) performed by the author over many years.
Handbook Of Epistemic Cognition
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Author : Jeffrey A. Greene
language : en
Publisher: Routledge
Release Date : 2016-01-22
Handbook Of Epistemic Cognition written by Jeffrey A. Greene and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-22 with Education categories.
The Handbook of Epistemic Cognition brings together leading work from across disciplines, to provide a comprehensive overview of an increasingly important topic: how people acquire, understand, justify, change, and use knowledge in formal and informal contexts. Research into inquiry, understanding, and discovery within academic disciplines has progressed from general models of conceptual change to a focus upon the learning trajectories that lead to expert-like conceptualizations, skills, and performance. Outside of academic domains, issues of who and what to believe, and how to integrate multiple sources of information into coherent and useful knowledge, have arisen as primary challenges of the 21st century. In six sections, scholars write within and across fields to focus and advance the role of epistemic cognition in education. With special attention to how researchers across disciplines can communicate and collaborate more effectively, this book will be an invaluable resource for anyone interested in the future of knowledge and knowing. Dr. Jeffrey A. Greene is an associate professor of Learning Sciences and Psychological Studies in the School of Education at the University of North Carolina at Chapel Hill. Dr. William A. Sandoval is a professor in the division of Urban Schooling at the UCLA Graduate School of Education & Information Studies. Dr. Ivar Bråten is a professor of Educational Psychology at the Faculty of Educational Sciences at the University of Oslo, Norway.
Visual Thinking In Mathematics
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Author : Marcus Giaquinto
language : en
Publisher: Clarendon Press
Release Date : 2007-07-05
Visual Thinking In Mathematics written by Marcus Giaquinto and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Philosophy categories.
Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquintoargues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition,Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.