%0 Journal Article
%T Construcciones SERLIST y SERFUNC de series infinitas
%A Mart¨ªnez-Planell
%A Rafael
%A Gonz¨¢lez
%A Ana Carmen
%A Yumet
%A Gladys Di Cristina
%A Acevedo
%A Vanessa
%J Educaci¨®n matem¨¢tica
%D 2011
%I Scientific Electronic Library Online
%X this is a study of how college students construct the notion of an infinite series as a sequence of partial sums. using action-process-object-schema theory (apos) it is shown that students tend to construct two different cognitive objects, serlist and serfunc, which are described in the article. essentially, in a serlist conception a series is perceived as an infinite sum while in a serfunc conception it is perceived as a sequence of partial sums. the serlist and serfunc notions generalize analogous notions that have been used in the case of infinite sequences. the qualitative study is based on semi-structured interviews to 14 undergraduate students. we found that 12 of the 14 interviewed students had great difficulty constructing a notion of infinite series as a sequence of partial sums. our study suggests some activities that may help remedy this situation.
%K calculus
%K infinite series
%K apos
%K sequence of partial sums
%K sequences.
%U http://www.scielo.org.mx/scielo.php?script=sci_abstract&pid=S1665-58262011000300008&lng=en&nrm=iso&tlng=en