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Studies In Reflecting Abstraction
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Book Synopsis Studies in Reflecting Abstraction by : Jean Piaget
Download or read book Studies in Reflecting Abstraction written by Jean Piaget and published by Psychology Press. This book was released on 2014-04-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This translation of the French Recherches sur l'abstraction reflechissante (1977), make available in English Piaget's only treatise on reflecting abstraction - a process he came to attribute considerable importance to in his later thinking and which he believed to be responsible for many of the advances that take place in human development, especially our understanding of mathematics. Rich with empirical research on reflecting abstraction at work in the thinking of 4 to 12 year olds, the studies in this volume examine its role in many contexts of cognitive development such as: reasoning about mathematics; forming analogies; putting objects in order by size and comparing the resulting series; and navigating through a wire maze. His theoretical discussions explore the relationships between reflecting abstraction and other central processes in his later theory, such as generalization, becoming conscious, and equilibration, as the differentiation of possibilities and their integration into necessities. These discussions indicate which aspects of his later theorizing were settled and which require further thought and investigation. Studies in Reflecting Abstraction will be of interest to developmental and cognitive psychologists, educationalists, philosophers and anyone who seeks to understand human knowledge and its development.
Book Synopsis Studies in Reflecting Abstraction by : Jean Piaget
Download or read book Studies in Reflecting Abstraction written by Jean Piaget and published by Psychology Press. This book was released on 2014-04-04 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This translation of the French Recherches sur l'abstraction reflechissante (1977), make available in English Piaget's only treatise on reflecting abstraction - a process he came to attribute considerable importance to in his later thinking and which he believed to be responsible for many of the advances that take place in human development, especially our understanding of mathematics. Rich with empirical research on reflecting abstraction at work in the thinking of 4 to 12 year olds, the studies in this volume examine its role in many contexts of cognitive development such as: reasoning about mathematics; forming analogies; putting objects in order by size and comparing the resulting series; and navigating through a wire maze. His theoretical discussions explore the relationships between reflecting abstraction and other central processes in his later theory, such as generalization, becoming conscious, and equilibration, as the differentiation of possibilities and their integration into necessities. These discussions indicate which aspects of his later theorizing were settled and which require further thought and investigation. Studies in Reflecting Abstraction will be of interest to developmental and cognitive psychologists, educationalists, philosophers and anyone who seeks to understand human knowledge and its development.
Book Synopsis Advanced Mathematical Thinking by : David Tall
Download or read book Advanced Mathematical Thinking written by David Tall and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Book Synopsis The Cambridge Companion to Piaget by : Ulrich Müller
Download or read book The Cambridge Companion to Piaget written by Ulrich Müller and published by Cambridge University Press. This book was released on 2009-08-31 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge Companion to Piaget provides a comprehensive introduction to different aspects of Jean Piaget's work.
Book Synopsis Piaget’s Genetic Epistemology for Mathematics Education Research by : Paul Christian Dawkins
Download or read book Piaget’s Genetic Epistemology for Mathematics Education Research written by Paul Christian Dawkins and published by Springer Nature. This book was released on 2024-01-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.
Book Synopsis Jean Piaget and Neuchâtel by : Anne-Nelly Perret-Clermont
Download or read book Jean Piaget and Neuchâtel written by Anne-Nelly Perret-Clermont and published by Psychology Press. This book was released on 2007-12-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a socio-historical and cultural perspective, this book looks at Jean Piaget's own growth from childhood to scientific life. The international and multidisciplinary contributors examine the milieu in which Piaget was born and educated, and search for traces of the experiences, social relationships, commitments and debates that peppered his childhood and adolescence, and informed his future academic career.
Book Synopsis Software Abstractions by : Daniel Jackson
Download or read book Software Abstractions written by Daniel Jackson and published by MIT Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach to software design that introduces a fully automated analysis giving designers immediate feedback, now featuring the latest version of the Alloy language. In Software Abstractions Daniel Jackson introduces an approach to software design that draws on traditional formal methods but exploits automated tools to find flaws as early as possible. This approach—which Jackson calls “lightweight formal methods” or “agile modeling”—takes from formal specification the idea of a precise and expressive notation based on a tiny core of simple and robust concepts but replaces conventional analysis based on theorem proving with a fully automated analysis that gives designers immediate feedback. Jackson has developed Alloy, a language that captures the essence of software abstractions simply and succinctly, using a minimal toolkit of mathematical notions. This revised edition updates the text, examples, and appendixes to be fully compatible with Alloy 4.
Book Synopsis Transformation of Knowledge through Classroom Interaction by : Baruch Schwarz
Download or read book Transformation of Knowledge through Classroom Interaction written by Baruch Schwarz and published by Routledge. This book was released on 2009-05-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classrooms provide extremely varied settings in which learning may take place, including teacher-led conversations, small group unguided discussions, individual problem solving or computer supported collaborative learning (CSCL). Transformation of Knowledge through Classroom Interaction examines and evaluates different ways which have been used to support students learning in classrooms, using mathematics and science as a model to examine how different types of interactions contribute to students’ participation in classroom activity, and their understanding of concepts and their practical applications. The contributions in this book offer rich descriptions and ways of understanding how learning occurs in both traditional and non-traditional settings. Combining theoretical perspectives with practical applications, the book includes discussions of: the roles of dialogue and argumentation in constructing knowledge the role of guidance in constructing knowledge abstracting processes in mathematics and science classrooms the effect of environment, media and technology on learning processes methodologies for tracing transformation of knowledge in classroom interaction. Bringing together a broad range of contributions from leading international researchers, this book makes an important contribution to the field of classroom learning, and will appeal to all those engaged in academic research in education.
Book Synopsis Transfer of Learning by : Charles Hohensee
Download or read book Transfer of Learning written by Charles Hohensee and published by Springer Nature. This book was released on 2021-04-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a common language for and makes connections between transfer research in mathematics education and transfer research in related fields. It generates renewed excitement for and increased visibility of transfer research, by showcasing and aggregating leading-edge research from the transfer research community. This book also helps to establish transfer as a sub-field of research within mathematics education and extends and refines alternate perspectives on the transfer of learning. The book provides an overview of current knowledge in the field as well as informs future transfer research.
Book Synopsis Abstractionist Aesthetics by : Phillip Brian Harper
Download or read book Abstractionist Aesthetics written by Phillip Brian Harper and published by NYU Press. This book was released on 2015-12-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: An artistic discussion on the critical potential of African American expressive culture In a major reassessment of African American culture, Phillip Brian Harper intervenes in the ongoing debate about the “proper” depiction of black people. He advocates for African American aesthetic abstractionism—a representational mode whereby an artwork, rather than striving for realist verisimilitude, vigorously asserts its essentially artificial character. Maintaining that realist representation reaffirms the very social facts that it might have been understood to challenge, Harper contends that abstractionism shows up the actual constructedness of those facts, thereby subjecting them to critical scrutiny and making them amenable to transformation. Arguing against the need for “positive” representations, Abstractionist Aesthetics displaces realism as the primary mode of African American representational aesthetics, re-centers literature as a principal site of African American cultural politics, and elevates experimental prose within the domain of African American literature. Drawing on examples across a variety of artistic production, including the visual work of Fred Wilson and Kara Walker, the music of Billie Holiday and Cecil Taylor, and the prose and verse writings of Ntozake Shange, Alice Walker, and John Keene, this book poses urgent questions about how racial blackness is made to assume certain social meanings. In the process, African American aesthetics are upended, rendering abstractionism as the most powerful modality for Black representation.
Book Synopsis New Directions for Situated Cognition in Mathematics Education by : Anne Watson
Download or read book New Directions for Situated Cognition in Mathematics Education written by Anne Watson and published by Springer Science & Business Media. This book was released on 2008-01-03 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research.
Book Synopsis Thinking Visually by : Stephen K. Reed
Download or read book Thinking Visually written by Stephen K. Reed and published by Psychology Press. This book was released on 2013-08-21 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language is a marvelous tool for communication, but it is greatly overrated as a tool for thought. This volume documents the many ways pictures, visual images, and spatial metaphors influence our thinking. It discusses both classic and recent research that support the view that visual thinking occurs not only where we expect to find it, but also where we do not. Much of comprehending language, for instance, depends on visual simulations of words or on spatial metaphors that provide a foundation for conceptual understanding. Thinking Visually supports comprehension by reducing jargon and by providing many illustrations, educational applications, and problems for readers to solve. It provides a broad overview of topics that range from the visual images formed by babies to acting classes designed for the elderly, from visual diagrams created by children to visual diagrams created by psychologists, from producing and manipulating images to viewing animations. The final chapters discuss examples of instructional software and argue that the lack of such software in classrooms undermines the opportunity to develop visual thinking. The book includes the Animation TutorTM downloadable resources to illustrate the application of research on visual thinking to improve mathematical reasoning.
Book Synopsis New Trends in Software Methodologies, Tools and Techniques by : Hamido Fujita
Download or read book New Trends in Software Methodologies, Tools and Techniques written by Hamido Fujita and published by IOS Press. This book was released on 2002 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. The Lyee International Workshop (Lyee-W02) is a means for presenting the results of the Lyee International research project, oriented for new software generation techniques based on Lyee technologies. Lyee-W02 will help to build a forum for exchanging ideas and experiences in the field of new directions on software development methodologies and its tools and techniques. Lyee methodology captures the essence of the innovations, controversies, challenges, and possible solutions of the software industry. This theory is born from experience and it is the time to stimulate the academic research on software science initiated from experience to theory through this workshop and its coming series.
Download or read book Deaf Cognition written by Marc Marschark and published by Oxford University Press. This book was released on 2008-06-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deaf Cognition examines the cognitive underpinnings of deaf individuals' learning. Marschark and Hauser have brought together scientists from different disciplines, which rarely interact, to share their ideas and create this book. It contributes to the science of learning by describing and testing theories that might either over or underestimate the role that audition or vision plays in learning and memory, and by shedding light on multiple pathways for learning. International experts in cognitive psychology, brain sciences, cognitive development, and deaf children offer a unique, integrative examination of cognition and learning, with discussions on their implications for deaf education. Each chapter focuses primarily on the intersection of research in cognitive psychology, developmental psychology, and deaf education. The general theme of the book is that deaf and hearing individuals differ to some extent in early experience, brain development, cognitive functioning, memory organization, and problem solving. Identifying similarities and differences among these domains provides new insights into potential methods for enhancing achievement in this traditionally under-performing population.
Book Synopsis Hypothetical Learning Trajectories by : Douglas H. Clements
Download or read book Hypothetical Learning Trajectories written by Douglas H. Clements and published by Routledge. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.
Book Synopsis Handbook of Qualitative Research Techniques and Analysis in Entrepreneurship by : Helle Neergaard
Download or read book Handbook of Qualitative Research Techniques and Analysis in Entrepreneurship written by Helle Neergaard and published by Edward Elgar Publishing. This book was released on 2015-10-30 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging tasks in the research design process is choosing the most appropriate data collection and analysis technique. This Handbook provides a detailed introduction to five qualitative data collection and analysis techniques pertinent to exploring entrepreneurial phenomena. Techniques for collecting and analysing data are rarely addressed in detail in published articles. In addition, the constant development of new tools and refinement of existing ones has meant that researchers often face a confusing range from which to choose. The experienced and expert group of contributors to this book provide detailed, practical accounts of how to conduct research employing focus groups, critical incident technique, repertory grids, metaphors, the constant comparative method and grounded theory. This Handbook will become the starting point for any research project. Scholars new to entrepreneurship and doctoral students as well as established academics keen to extend their research scope will find this book an invaluable and timely resource.
Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester
Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
