Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh (Routledge International Studies in the Philosophy of Education) pdf epub fb2

Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh (Routledge International Studies in the Philosophy of Education) by Wolff-Michael Roth pdf epub fb2

Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh (Routledge International Studies in the Philosophy of Education) Author: Wolff-Michael Roth
Title: Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh (Routledge International Studies in the Philosophy of Education)
ISBN: 0415891574
ISBN13: 978-0415891578
Other Formats: rtf mbr lit doc
Pages: 312 pages
Publisher: Routledge; 1 edition (March 28, 2011)
Language: English
Category: Education & Teaching
Size PDF version: 1821 kb
Size EPUB version: 1360 kb
Subcategory: Schools & Teaching




Thisstudy examines theorigins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, thoughpre-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 explainhow 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.