caa a22 4500 463246624 CHVBK 20180405153327.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10763-007-9094-7 doi (NATIONALLICENCE)springer-10.1007/s10763-007-9094-7 Linguistic Invention and Semantic Warrant Production: Elementary Teachers' Interpretation of Graphs [Elektronische Daten] [Janet Walter, Christine Johnson] 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. National Science Council, Taiwan, 2007 choice nationallicence conventional language nationallicence discourse nationallicence graph interpretation nationallicence linguistic invention nationallicence mathematical inference nationallicence mathematics nationallicence professional development nationallicence rate of change nationallicence semantic warrant production nationallicence substantial argumentation nationallicence Walter Janet Brigham Young University, 163A TMCB, 84602, Provo, UT, USA aut Johnson Christine Brigham Young University, 163A TMCB, 84602, Provo, UT, USA aut International Journal of Science and Mathematics Education Springer Netherlands 5/4(2007-12-01), 705-727 1571-0068 5:4<705 2007 5 10763 https://doi.org/10.1007/s10763-007-9094-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10763-007-9094-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Walter Janet Brigham Young University, 163A TMCB, 84602, Provo, UT, USA aut NATIONALLICENCE 700 1- Johnson Christine Brigham Young University, 163A TMCB, 84602, Provo, UT, USA aut NATIONALLICENCE 773 0- International Journal of Science and Mathematics Education Springer Netherlands 5/4(2007-12-01), 705-727 1571-0068 5:4<705 2007 5 10763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer