%0 Journal Article %1 nardi2008introducing %A Nardi, Elena %A Biza, Irene %A González-Martín, Alejandro %B Proceedings of the Conference of the British Society for Research into the Learning of Mathematics %D 2008 %K Infinite application curiculum limit mathematics postviva sequences sum university visualization %N 3 %P 84-89 %T Introducing the concept of infinite sum: Preliminary analyses of curriculum content %U http://www.bsrlm.org.uk/IPs/ip28-3/BSRLM-IP-28-3-15.pdf %V 28 %X In this paper we report the first phase of a study that aims to analyse curriculum content, pedagogical practice and student perceptions of the complex, often counter-intuitive but significant mathematical concept of infinite sum (aka series in Calculus). Sources of student difficulty with the concept identified in previous, not very extensive, research include: certain student perceptions of infinity; limited exposure to visualisation, contextualisation and applications of infinite sums; and, teaching through reduction to an algorithmic approach. Here we report preliminary analyses regarding curriculum content and, in particular, the initial phases of a three-dimensional analysis (cognitive, epistemological, didactical) of mainstream texts used to introduce the concept to undergraduates in the UK.

@article{nardi2008introducing, abstract = {In this paper we report the first phase of a study that aims to analyse curriculum content, pedagogical practice and student perceptions of the complex, often counter-intuitive but significant mathematical concept of infinite sum (aka series in Calculus). Sources of student difficulty with the concept identified in previous, not very extensive, research include: certain student perceptions of infinity; limited exposure to visualisation, contextualisation and applications of infinite sums; and, teaching through reduction to an algorithmic approach. Here we report preliminary analyses regarding curriculum content and, in particular, the initial phases of a three-dimensional analysis (cognitive, epistemological, didactical) of mainstream texts used to introduce the concept to undergraduates in the UK.}, added-at = {2009-10-13T12:59:02.000+0200}, author = {Nardi, Elena and Biza, Irene and González-Martín, Alejandro}, biburl = {https://www.bibsonomy.org/bibtex/2196cd967ca3ffd5d05cfc87567a67992/yish}, booktitle = {Proceedings of the Conference of the British Society for Research into the Learning of Mathematics}, interhash = {2d5f8ea4b32b9b216c0fbfb410e6732f}, intrahash = {196cd967ca3ffd5d05cfc87567a67992}, keywords = {Infinite application curiculum limit mathematics postviva sequences sum university visualization}, number = 3, pages = {84-89}, timestamp = {2009-10-13T12:59:02.000+0200}, title = {Introducing the concept of infinite sum: Preliminary analyses of curriculum content}, url = {http://www.bsrlm.org.uk/IPs/ip28-3/BSRLM-IP-28-3-15.pdf}, volume = 28, year = 2008 }