Geometry as Objective Science in Elementary School Classrooms PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Geometry as Objective Science in Elementary School Classrooms PDF full book. Access full book title Geometry as Objective Science in Elementary School Classrooms by Wolff-Michael Roth. Download full books in PDF and EPUB format.
Author: Wolff-Michael Roth
Publisher: Routledge
ISBN: 1136732209
Category : Education
Languages : en
Pages : 341
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: Wolff-Michael Roth
Publisher: Routledge
ISBN: 1136732209
Category : Education
Languages : en
Pages : 341
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: 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: 042950859X
Category : Psychology
Languages : en
Pages : 188
Get Book Here
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:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 388
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 1006
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 2124
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 938
Get Book Here
Book Description
Author: State Normal School at Salem
Publisher:
ISBN:
Category :
Languages : en
Pages : 750
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Education, Elementary
Languages : en
Pages : 544
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 880
Get Book Here
Book Description
