Linguistic Invention and Semantic Warrant Production: Elementary Teachers’ Interpretation of Graphs |
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Authors: | Janet Walter Christine Johnson |
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Institution: | (1) Brigham Young University, 163A TMCB, Provo, UT 84602, USA |
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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. |
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Keywords: | 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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