Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education
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Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education
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Author : Jerzy Pogonowski
language : en
Publisher: LIT Verlag
Release Date : 2020-01-01
Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education written by Jerzy Pogonowski and has been published by LIT Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Mathematics categories.
This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition. The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from the mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible to characterize the intended models of mathematical theories in a unique way?
Glimpses Into The World Of Mathematics
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Author : LIT Verlag
language : en
Publisher: LIT Verlag
Release Date : 2021-01-01
Glimpses Into The World Of Mathematics written by LIT Verlag and has been published by LIT Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-01 with Mathematics categories.
Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?
Proceedings Of 5th Borobudur International Symposium On Humanities And Social Science Bishss 2023
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Author : Zulfikar Bagus Pambuko
language : en
Publisher: Springer Nature
Release Date : 2024-08-01
Proceedings Of 5th Borobudur International Symposium On Humanities And Social Science Bishss 2023 written by Zulfikar Bagus Pambuko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Social Science categories.
This is an open access book. In our rapidly evolving modern era, the intersection of green technology and digital society has shifted paradigm shifts across various facets of human life. The fusion of these two domains holds the potential to profoundly impact society’s social aspects. Therefore, The 5th Borobudur International Symposium with the theme “Smart and Sustainable: The Synergy of Green Technology and Digital Society” is designed to delve into and celebrate the strong synergy between green technology and the digital society, specifically focusing on social sciences. The background of this conference reflects the significant tensions in modern society. On the one hand, we witness innovative strides in green technology to reduce negative environmental impacts and develop more sustainable systems. On the other hand, our society is becoming increasingly interconnected in a vast digital network, enabling unprecedented information exchange that influences social interactions, work, education, and many other aspects of daily life. As green technology and the digital society converge, new and crucial opportunities and challenges emerge in the social context. Through this International Conference, we hope to provide a platform for researchers, practitioners, and stakeholders to share knowledge, experiences, and innovative ideas to better understand how green technology and the digital society can collaborate to achieve smarter and more sustainable societies.
Eric Clearinghouse Publications
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Author :
language : en
Publisher:
Release Date : 1983
Eric Clearinghouse Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Education categories.
The First Sourcebook On Nordic Research In Mathematics Education
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Author : Bharath Sriraman
language : en
Publisher: IAP
Release Date : 2010-09-01
The First Sourcebook On Nordic Research In Mathematics Education written by Bharath Sriraman and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Education categories.
The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.
Mathematical Reasoning
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Author : Raymond Nickerson
language : en
Publisher: Taylor & Francis
Release Date : 2011-02-25
Mathematical Reasoning written by Raymond Nickerson and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Psychology categories.
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Visualizing Mathematics
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Author : Kelly S. Mix
language : en
Publisher: Springer
Release Date : 2018-12-07
Visualizing Mathematics written by Kelly S. Mix and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Education categories.
This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.
Visuospatial Reasoning
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Author : Kay Owens
language : en
Publisher: Springer
Release Date : 2014-11-07
Visuospatial Reasoning written by Kay Owens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Education categories.
This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.
Handbook Of Cognitive Mathematics
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Handbook Of Cognitive Mathematics written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Mathematical Thinking And Problem Solving
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06
Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.