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Linguistic Invention and Semantic Warrant Production: Elementary Teachers’ Interpretation of Graphs

  • Janet WalterEmail author
  • Christine Johnson
Article

Abstract

In this qualitative study of mathematical discourse between elementary teachers, we examined linguistic invention and semantic warrant production as participants made successive attempts to communicate mathematical ideas. Linguistic invention is a creative practice of describing mathematics in terms of personal experience. We introduce semantic warrant production, which emerged as part of our analysis of substantial arguments produced by teachers learning mathematics. Participants engaged in linguistic invention and semantic warrant production to convince themselves and others of the validity of their mathematical inferences about a graph of rate of change versus time. Personal experiences that are taken-as-shared in a learning community can support accurate mathematical inference if connections between conventional language, common experiences, and mathematical representations are made explicit by learners.

Key words

choice conventional language discourse graph interpretation linguistic invention mathematical inference mathematics professional development rate of change semantic warrant production substantial argumentation 

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Copyright information

© National Science Council, Taiwan 2007

Authors and Affiliations

  1. 1.Brigham Young UniversityProvoUSA

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