{"id":207966,"date":"2026-04-13T12:28:10","date_gmt":"2026-04-13T16:28:10","guid":{"rendered":"https:\/\/www.montclair.edu\/mathematics-education-phd\/?p=207966"},"modified":"2026-04-13T12:28:10","modified_gmt":"2026-04-13T16:28:10","slug":"enactive-educational-ecosystem-for-the-emergent-learning-of-polar-graphing","status":"publish","type":"post","link":"https:\/\/www.montclair.edu\/mathematics-education-phd\/2026\/04\/13\/enactive-educational-ecosystem-for-the-emergent-learning-of-polar-graphing\/","title":{"rendered":"Enactive Educational Ecosystem for the Emergent Learning of Polar Graphing"},"content":{"rendered":"<p dir=\"ltr\">Each week in class, they pose and pursue their own mathematical inquiries into the wild world of the polar coordinate system through pole-based movement and with other invented tools, tasks, and practices. As they do so, they reflect on how spaces, bodies, things, and feelings shape our mathematical thinking and enliven our understandings. It\u2019s a curious playground, for sure.<\/p>\n<div class=\"prpl-row\"><div class=\"prpl-column one-half\">\n<p><iframe title=\"Video: Ikeem Jones performance\" src=\"https:\/\/www.youtube.com\/embed\/C9x95EAgvkg?feature=oembed\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen style=\"width: 422px; height: 750px; border: 0px solid #000;\"><\/iframe><\/p>\n<\/div><div class=\"prpl-column one-half\">\n<p><iframe title=\"Video: 4 petals\" src=\"https:\/\/www.youtube.com\/embed\/uFllY3AsDoA?feature=oembed\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen style=\"width: 422px; height: 750px; border: 0px solid #000;\"><\/iframe><\/p>\n<\/div><\/div>\n<p dir=\"ltr\">At a pivotal moment in their inquiry, they recently joined renowned NYC subway dancer, Ikeem Jones (<a rel=\"noopener\" href=\"https:\/\/www.instagram.com\/shakeyyjones\/\" target=\"_blank\" data-saferedirecturl=\"https:\/\/www.google.com\/url?q=https:\/\/www.instagram.com\/shakeyyjones\/&amp;source=gmail&amp;ust=1776176843438000&amp;usg=AOvVaw13mMVPZGwD-OZ28LEESgCh\">@shakeyyjones<\/a>), on the E-train where he gave them all kinds of choreo-mathematical things to think about. And be in awe of. Check him out. In the first video, he\u2019s doing what he does. In the second one, he\u2019s enacting his interpretation of the 4-petal graph of r = sin 2\u03b8.<\/p>\n<p dir=\"ltr\">\n<figure class=\"responsive-image-holder wp-caption alignnone\"><img decoding=\"async\" class=\"mlt-responsive-image\" data-original-image=\"\/mathematics-education-phd\/wp-content\/uploads\/sites\/47\/2026\/04\/these-graphs-are-not-the-same.jpg\" src=\"\/responsive-media\/cache\/mathematics-education-phd\/wp-content\/uploads\/sites\/47\/2026\/04\/these-graphs-are-not-the-same.jpg.0.1x.generic.jpg\" alt=\"these graphs are (not) the same\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dr. Steven Greenstein&#8217;s Choreomathematics course in the doctoral program in Mathematics Education is working on this new model<\/p>\n","protected":false},"author":34,"featured_media":207967,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[17],"tags":[],"class_list":["post-207966","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-other-news"],"_links":{"self":[{"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/posts\/207966","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/comments?post=207966"}],"version-history":[{"count":1,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/posts\/207966\/revisions"}],"predecessor-version":[{"id":207968,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/posts\/207966\/revisions\/207968"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/media\/207967"}],"wp:attachment":[{"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/media?parent=207966"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/categories?post=207966"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics-education-phd\/wp-json\/wp\/v2\/tags?post=207966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}