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Abstract Title: Pervasive metaphors in mathematics-in-physics: Fictive Motion and Animation of Inanimate
Abstract: We use Conceptual Blending and the Resources Framework to analyze two pervasive metaphors used in mathematics in physics contexts: Fictive Motion and Animation of the Inanimate. Fictive motion occurs when a function "gets small as you get far away".  Animation of the Inanimate occurs when properties of living creatures -- such as death or growth -- are ascribed to mathematical functions.  We show how these two theories explain and interpret these two pervasive metaphors in a fine-grained way using resource graphs and a multi-space blending table; we additionally discuss emergent meanings using the theories in concert.  Our data are drawn from video-based classroom observations of physics faculty and upper-division students.
Abstract Type: Contributed Poster Presentation

Author/Organizer Information

Primary Contact: Ying Chen
Kansas State University
116 Cardwell Hall
Manhattan, KS 66506
Phone: 785 3175369
and Co-Presenter(s)
Eleanor C. Sayre