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  Session:
  Title: Mathematical Conflict in Physics: Computation vs. Representation
  Meeting: 2005 AAPT Summer Meeting: Salt Lake City, UT
  Location: EMCB 105
  Date: Monday, Aug. 8
  Time: 9:30AM
  Author: Eugene Torigoe, Univ. of Illinois Urbana-Champaign
217-333-0272, torigoe@uiuc.edu
  Co-Author(s): Gary Gladding, Tim Stelzer
  Abstract: In introductory physics the algebraic equations are thought of in two different ways. The first is representational and the second is computational. In the first mode we represent a relationship between variables, and the latter mode we calculate the numeric value of a particular quantity. Physics experts view these two modes as strongly interconnected, and are very adept at coordinating between these two different uses of the equations. We have found evidence that novice physics students, on the other hand, have great difficulty coordinating between these two modes of thinking. Some students even seem to have conflicting methods for computation and representation. We will present some of our data about the mathematical conflict and describe our work to further understand its causes.
  Footnotes: None

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