Students’ challenges with polar functions

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dc.contributor.author Habre, Samer
dc.date.accessioned 2016-09-07T07:58:32Z
dc.date.available 2016-09-07T07:58:32Z
dc.identifier.issn 0020-739X en_US
dc.identifier.uri http://hdl.handle.net/10725/4239
dc.description.abstract Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the corresponding plot in the Cartesian plane. In particular, it examines how students coordinate the covariation in the polar coordinate system with the covariation in the Cartesian one. The research, which was conducted in a sophomore level Calculus class at an American university operating in Lebanon, investigates in addition the challenges when students synchronize the reasoning between the two coordinate systems. For this, the mental actions that students engage in when performing covariational tasks are examined. Results show that coordinating the value of one polar variable with changes in the other was well achieved. Coordinating the direction of change of one variable with changes in the other variable was more challenging for students especially when the radial distance r is negative. en_US
dc.language.iso en en_US
dc.title Students’ challenges with polar functions en_US
dc.type Article en_US
dc.description.version Published en_US
dc.title.subtitle covariational reasoning and plotting in the polar coordinate system en_US
dc.author.school SAS en_US
dc.author.idnumber 199329050 en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal International Journal of Mathematical Education in Science and Technology en_US
dc.article.pages 1-19 en_US
dc.keywords Covariational reasoning en_US
dc.keywords Mental actions en_US
dc.keywords Polar and Cartesian graphs en_US
dc.identifier.doi http://dx.doi.org/10.1080/0020739X.2016.1220027 en_US
dc.identifier.ctation Habre, S. Students’ challenges with polar functions: covariational reasoning and plotting in the polar coordinate system. en_US
dc.author.email shabre@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://www.tandfonline.com/doi/abs/10.1080/0020739X.2016.1220027 en_US

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