%0 Journal Article %1 Alcock04 %A Alcock, Lara %A Simpson, Adrian %D 2004 %J Educational Studies in Mathematics %K representation mathematical thinking beliefs definitions theory proof analysis need convergence visualization sequences advanced representations bibtex-import real grounded read %N 1 %T Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role %U http://www.swetswise.com/eAccess/viewFulltext.do?articleID=21500121 %V 57 %X This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore links between the students’ mathematical behavior in solving these problems and their perception of their roles as learners.We develop a theory in which the tendency to visualize, coupled with the students’ view of their role, can be used to account for their mathematical behavior.

@article{Alcock04, abstract = {This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore links between the students’ mathematical behavior in solving these problems and their perception of their roles as learners.We develop a theory in which the tendency to visualize, coupled with the students’ view of their role, can be used to account for their mathematical behavior.}, added-at = {2006-09-19T02:50:41.000+0200}, author = {Alcock, Lara and Simpson, Adrian}, biburl = {https://www.bibsonomy.org/bibtex/25d6452d4d189dab9c3bf9083a58d6d27/yish}, citeulike-article-id = {378187}, interhash = {f5315764f40f42f339da4416053ae7e8}, intrahash = {5d6452d4d189dab9c3bf9083a58d6d27}, journal = {Educational Studies in Mathematics}, keywords = {representation mathematical thinking beliefs definitions theory proof analysis need convergence visualization sequences advanced representations bibtex-import real grounded read}, number = 1, priority = {2}, timestamp = {2006-09-19T02:50:41.000+0200}, title = {Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role}, url = {http://www.swetswise.com/eAccess/viewFulltext.do?articleID=21500121}, volume = 57, year = 2004 }