caa a22 4500 445881801 CHVBK 20180317145546.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10649-011-9318-1 doi (NATIONALLICENCE)springer-10.1007/s10649-011-9318-1 Refinements in mathematics undergraduate students' reasoning on completed infinite iterative processes [Elektronische Daten] [Iuliana Radu, Keith Weber] This paper reports a teaching experiment in which two students engaged in tasks that challenged them to describe a final state for a variety of infinite iterative processes. The results from the study indicate that the students used multiple reasoning strategies for addressing these tasks. Refinements in the students' reasoning occurred as students constructed relationships between the problems they were solving and problems they had solved previously, applying some of the reasoning strategies that they used for one problem to make sense of or solve another problem. We discuss how these findings relate to the existing body of research on infinite iterative processes. Springer Science+Business Media B.V., 2011 Advanced mathematical thinking nationallicence Infinity nationallicence Infinite iterative processes nationallicence Mathematics education nationallicence Undergraduate mathematics education nationallicence Radu Iuliana Center for Mathematics, Science, and Computer Education, Rutgers University, 118 Frelinghuysen Road, 08854, Piscataway, NJ, USA aut Weber Keith Graduate School of Education, Rutgers University, 10 Seminary Place, 08901, New Brunswick, NJ, USA aut Educational Studies in Mathematics Springer Netherlands 78/2(2011-11-01), 165-180 0013-1954 78:2<165 2011 78 10649 https://doi.org/10.1007/s10649-011-9318-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-011-9318-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Radu Iuliana Center for Mathematics, Science, and Computer Education, Rutgers University, 118 Frelinghuysen Road, 08854, Piscataway, NJ, USA aut NATIONALLICENCE 700 1- Weber Keith Graduate School of Education, Rutgers University, 10 Seminary Place, 08901, New Brunswick, NJ, USA aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 78/2(2011-11-01), 165-180 0013-1954 78:2<165 2011 78 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer