Geometry as objective science in elementary school classrooms : mathematics in the flesh / Wolff-Michael Roth.

Show other versions (1)

"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...

Full description

Saved in:
Bibliographic Details
Main Author: Roth, Wolff-Michael, 1953-
Language:English
Published: New York : Routledge, 2011.
Series:Routledge international studies in the philosophy of education ; 27.
Subjects:
Geometry > Study and teaching (Primary)
Education, Primary > Philosophy.
Physical Description:xv, 293 pages : illustrations ; 24 cm.
Format: Book
Contents:
  • Introduction: of hands, flesh, and mind
  • Pt. A. Toward a theory of mathematics in the flesh
  • Introduction to Pt. A.
  • What makes a cube a cube? A phenomenological overture
  • From intellectualist metaphysics to embodiment epistemologies
  • Material life as the organizing principle of knowing
  • Pt. B. Stories of mathematics in the flesh
  • Introduction to Pt. B.
  • The flesh, distractions, and mathematics
  • Coorinating touch and gaze: Re/constructing a mystery object
  • Emergence of measurement as the realization of geometry
  • Doing time in mathematical Praxis
  • Pt. C. emergence of geometry----An objective science: Introduction to Pt. C. Ethno-methods of sorting geometrically
  • Reproducing geometry as objective science
  • Rethinking mathematical conceptions
  • Epilogue: From the flesh to society in the mind.