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Mathematics Education Research Journal

, Volume 24, Issue 3, pp 347–369 | Cite as

Gestures and a chain of signification: the case of equilibrium solutions

  • Karen Allen Keene
  • Chris Rasmussen
  • Michelle Stephan
Original Article

Abstract

This paper provides an exposition of the unfolding and growing complexities of student and instructor gesturing over time. Specifically, it provides an account of how different forms of gestures, all related to the same mathematical idea, can create a chain of signs that support and enhance increasingly sophisticated understanding of one important concept in the learning of differential equations. The chain of gestures presented in this paper offers researchers, instructors, and instructional designers a view of the way in which different gestures can form a common conceptual thread. Expanding on Walkerdine’s (1988) theory of chains of signification, gestures are framed as signs in a chain of signification that captures the evolution of the idea over an extended period of time. Data for the analysis comes from a semester-long classroom teaching experiment in a first course in differential equations.

Keywords

Gestures Chain of signification Differential equations Mathematics education Conceptual thread 

Notes

Acknowledgments

Support for this paper was funded in part by the National Science Foundation under grant no. DRL 0634074. The opinions expressed do not necessarily reflect the views of the foundation.

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Copyright information

© Mathematics Education Research Group of Australasia, Inc. 2012

Authors and Affiliations

  • Karen Allen Keene
    • 1
  • Chris Rasmussen
    • 2
  • Michelle Stephan
    • 3
  1. 1.North Carolina State UniversityRaleighUSA
  2. 2.San Diego State UniversitySan DiegoUSA
  3. 3.Center for STEM EducationUniversity of North Carolina CharlotteCharlotteUSA

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