caa a22 4500 445881755 CHVBK 20180317145545.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10649-011-9326-1 doi (NATIONALLICENCE)springer-10.1007/s10649-011-9326-1 Students build mathematical theory: semantic warrants in argumentation [Elektronische Daten] [Janet Walter, Tara Barros] In this paper, we explore the development of two grounded theories. One theory is mathematical and grounded in the work of university calculus students' collaborative development of mathematical methods for finding the volume of a solid of revolution, in response to mathematical necessity in problem solving, without prior instruction on solution methods. The second theory emerges from microlinguistic analysis of students' mathematical choices and use of warrants in substantial argumentation to communicate, clarify, and convince others of the validity of their conjectures and mathematical work. Our goal was to illuminate mathematical argumentation by collaborative groups of calculus students at a qualitative level of detail sufficient to reveal one view of how these students satisfied the creative drive for mathematical meaning, communication, and accuracy in problem solving as evidenced in one classroom over several days. Springer Science+Business Media B.V., 2011 Agency nationallicence Analogical reasoning nationallicence Argumentation nationallicence Collaboration nationallicence Mathematical referents nationallicence Semantic warrants nationallicence Walter Janet 1513 West Highway 78, PO Box 364, 84639-0364, Levan, UT, USA aut Barros Tara 1513 West Highway 78, PO Box 364, 84639-0364, Levan, UT, USA aut Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 323-342 0013-1954 78:3<323 2011 78 10649 https://doi.org/10.1007/s10649-011-9326-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-011-9326-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Walter Janet 1513 West Highway 78, PO Box 364, 84639-0364, Levan, UT, USA aut NATIONALLICENCE 700 1- Barros Tara 1513 West Highway 78, PO Box 364, 84639-0364, Levan, UT, USA aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 323-342 0013-1954 78:3<323 2011 78 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer