Geometry as objective science in elementary school classrooms
Subtitle: mathematics in the flesh
By: Wolff-Michael Roth
Series: Routledge international studies in the philosophy of education -- 27
Publisher: Routledge
Published: 2011
Place of publication: New York
Language: eng
Number of pages: 293
ISBN-13: 9780415891578; 9780203817872
Subjects: Primary Education; EDUCATION / Teaching Methods & Materials / Mathematics; Study and teaching (Primary); Geometry; EDUCATION / Philosophy & Social Aspects; EDUCATION / General; Philosophy
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"--
Notes: Includes bibliographical references (p. [279]-286) and index.