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Author: Wolff-Michael Roth
Publisher: Routledge
ISBN: 9781138378018
Category :
Languages : en
Pages : 294
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Book Description
This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses explain how geometry, an objective science, arises anew from the pre-scientific but nevertheless methodic actions of children in a structured world always already shot through with significations. He presents a way of understanding knowing and learning in mathematics that differs from other current approaches, using case studies to demonstrate contradictions and incongruences of other theories - Immanuel Kant, Jean Piaget, and more recent forms of (radical, social) constructivism, embodiment theories, and enactivism - and to show how material phenomenology fused with phenomenological sociology provides answers to the problems that these other paradigms do not answer.
Author: Wolff-Michael Roth
Publisher: Routledge
ISBN: 9781138378018
Category :
Languages : en
Pages : 294
Get Book Here
Book Description
This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses explain how geometry, an objective science, arises anew from the pre-scientific but nevertheless methodic actions of children in a structured world always already shot through with significations. He presents a way of understanding knowing and learning in mathematics that differs from other current approaches, using case studies to demonstrate contradictions and incongruences of other theories - Immanuel Kant, Jean Piaget, and more recent forms of (radical, social) constructivism, embodiment theories, and enactivism - and to show how material phenomenology fused with phenomenological sociology provides answers to the problems that these other paradigms do not answer.
Author: Mateusz Hohol
Publisher: Routledge
ISBN: 0429509219
Category : Psychology
Languages : en
Pages : 275
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Book Description
The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.
Author: Swapna Mukhopadhyay
Publisher: Springer Science & Business Media
ISBN: 9460919219
Category : Education
Languages : en
Pages : 321
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Book Description
This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at:http://www.media.pdx.edu/dlcmedia/events/AFK/. Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.
Author: Mijung Kim
Publisher: BRILL
ISBN: 9004392572
Category : Education
Languages : en
Pages : 145
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Book Description
Science educators have come to recognize children’s reasoning and problem solving skills as crucial ingredients of scientific literacy. As a consequence, there has been a concurrent, widespread emphasis on argumentation as a way of developing critical and creative minds. Argumentation has been of increasing interest in science education as a means of actively involving students in science and, thereby, as a means of promoting their learning, reasoning, and problem solving. Many approaches to teaching argumentation place primacy on teaching the structure of the argumentative genre prior to and at the beginning of participating in argumentation. Such an approach, however, is unlikely to succeed because to meaningfully learn the structure (grammar) of argumentation, one already needs to be competent in argumentation. This book offers a different approach to children’s argumentation and reasoning based on dialogical relations, as the origin of internal dialogue (inner speech) and higher psychological functions. In this approach, argumentation first exists as dialogical relation, for participants who are in a dialogical relation with others, and who employ argumentation for the purpose of the dialogical relation. With the multimodality of dialogue, this approach expands argumentation into another level of physicality of thinking, reasoning, and problem solving in classrooms. By using empirical data from elementary classrooms, this book explains how argumentation emerges and develops in and from classroom interactions by focusing on thinking and reasoning through/in relations with others and the learning environment.
Author: David F. Treagust
Publisher: Springer Science & Business Media
ISBN: 9400741928
Category : Science
Languages : en
Pages : 394
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Book Description
This new publication in the Models and Modeling in Science Education series synthesizes a wealth of international research on using multiple representations in biology education and aims for a coherent framework in using them to improve higher-order learning. Addressing a major gap in the literature, the volume proposes a theoretical model for advancing biology educators’ notions of how multiple external representations (MERs) such as analogies, metaphors and visualizations can best be harnessed for improving teaching and learning in biology at all pedagogical levels. The content tackles the conceptual and linguistic difficulties of learning biology at each level—macro, micro, sub-micro, and symbolic, illustrating how MERs can be used in teaching across these levels and in various combinations, as well as in differing contexts and topic areas. The strategies outlined will help students’ reasoning and problem-solving skills, enhance their ability to construct mental models and internal representations, and, ultimately, will assist in increasing public understanding of biology-related issues, a key goal in today’s world of pressing concerns over societal problems about food, environment, energy, and health. The book concludes by highlighting important aspects of research in biological education in the post-genomic, information age.
Author: Wolff-Michael Roth
Publisher: Springer Science & Business Media
ISBN: 9400751850
Category : Science
Languages : en
Pages : 229
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Book Description
Children’s learning and understanding of science during their pre-school years has been a neglected topic in the education literature—something this volume aims to redress. Paradigmatic notions of science education, with their focus on biologically governed development and age-specific accession to scientific concepts, have perpetuated this state of affairs. This book offers a very different perspective, however. It has its roots in the work of cultural-historical activity theorists, who, since Vygotsky, have assumed that any higher cognitive function existed in and as a social relation first. Accepting this precept removes any lower limit we may deem appropriate on children’s cognitive engagement with science-related concepts. The authors describe and analyze the ways in which children aged from one to five grapple with scientific concepts, and also suggest ways in which pre-service and in-service teachers can be prepared to teach in ways that support children’s development in cultural and historical contexts. In doing so, the book affirms the value of cultural-historical activity theory as an appropriate framework for analyzing preschool children’s participation in science learning experiences, and shows that that the theory provides an appropriate framework for understanding learning, as well as for planning and conducting training for pre-school teachers.
Author: Aditya Johri
Publisher: Cambridge University Press
ISBN: 1107785855
Category : Technology & Engineering
Languages : en
Pages : 1124
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Book Description
The Cambridge Handbook of Engineering Education Research is the critical reference source for the growing field of engineering education research, featuring the work of world luminaries writing to define and inform this emerging field. The Handbook draws extensively on contemporary research in the learning sciences, examining how technology affects learners and learning environments, and the role of social context in learning. Since a landmark issue of the Journal of Engineering Education (2005), in which senior scholars argued for a stronger theoretical and empirically driven agenda, engineering education has quickly emerged as a research-driven field increasing in both theoretical and empirical work drawing on many social science disciplines, disciplinary engineering knowledge, and computing. The Handbook is based on the research agenda from a series of interdisciplinary colloquia funded by the US National Science Foundation and published in the Journal of Engineering Education in October 2006.
Author:
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ISBN:
Category : Education
Languages : en
Pages : 1262
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ISBN:
Category : Education
Languages : en
Pages : 760
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Category : Mathematics
Languages : en
Pages : 880
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Book Description
