{"id":207280,"date":"2018-10-04T11:36:21","date_gmt":"2018-10-04T15:36:21","guid":{"rendered":"https:\/\/www.montclair.edu\/mathematics\/?p=207280"},"modified":"2025-04-23T16:58:03","modified_gmt":"2025-04-23T20:58:03","slug":"developing-middle-school-students-understandings-of-coordinate-systems-mid-cos-project","status":"publish","type":"post","link":"https:\/\/www.montclair.edu\/mathematics\/2018\/10\/04\/developing-middle-school-students-understandings-of-coordinate-systems-mid-cos-project\/","title":{"rendered":"Developing Middle-School Students\u2019 Understandings of Coordinate Systems (Mid-CoS) Project"},"content":{"rendered":"<p>Despite the importance of graphs in STEM fields, mathematics and science education researchers have shown that students of all ages experience persistent difficulties constructing and interpreting such graphs. Dr. Paoletti\u2019s goals are (a) to examine how to leverage middle school students\u2019 reasoning about quantities that change in tandem to develop understandings of graphs as representing covarying quantities and (b) to develop a sequence of lessons to promote students\u2019 graphing understandings grounded in this reasoning. By designing dynamic interactive tasks with varying quantities, Dr. Paoletti and colleagues are investigating the ways in which students are imagining quantities changing and, through their descriptions and graphical representations, how two quantities are changing in tandem. Additionally, Dr. Paoletti and colleagues are investigating how such tasks can be integrated into the existing middle school curricula to support students\u2019 variational reasoning, covariational reasoning, and their developing understandings of coordinate systems and graphical representations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Teo Paoletti (PI) received the Spencer Foundation Small Research Grant for $50,000. The period runs from 2018 &#8211; 2019.<\/p>\n","protected":false},"author":34,"featured_media":207269,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[15],"tags":[],"class_list":["post-207280","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-ed-phd"],"_links":{"self":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207280","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=207280"}],"version-history":[{"count":2,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207280\/revisions"}],"predecessor-version":[{"id":208738,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207280\/revisions\/208738"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media\/207269"}],"wp:attachment":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=207280"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/categories?post=207280"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/tags?post=207280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}