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.
Wolff-Michael Roth
Geometry as Objective Science in Elementary School Classrooms [PDF ebook]
Mathematics in the Flesh
Geometry as Objective Science in Elementary School Classrooms [PDF ebook]
Mathematics in the Flesh
Cumpărați această carte electronică și primiți încă 1 GRATUIT!
Limba Engleză ● Format PDF ● Pagini 312 ● ISBN 9781136732218 ● Editura Taylor and Francis ● Publicat 2011 ● Descărcabil 6 ori ● Valută EUR ● ID 2362232 ● Protecție împotriva copiilor Adobe DRM
Necesită un cititor de ebook capabil de DRM