<\/figure>\nIn this presentation, Erin, Denish, and Dr. Greenstein share their findings of an exploration of the problem solving of two learners as they aimed to make sense of fraction division by coordinating meanings across two artifacts, one being a physical manipulative and the other a written\u00a0expression of the standard algorithm. In addressing the question, \u201cHow do learners make sense of and coordinate meanings across multiple representations of mathematical ideas?\u201d they took an enactivist\u00a0perspective and used tools of semiotics to analyze the ways they navigated the dissonance that arose as they sought to achieve harmony in meanings across multiple representations of ideas.<\/p>\n","protected":false},"excerpt":{"rendered":"
Doctoral student, Denish Akuom, along with his supervisor, Dr. Steven Greenstein, presented his paper, \u201cProspective Mathematics Teachers\u2019 Designed Manipulatives as Anchors for Their Pedagogical and Conceptual Knowledge,\u201d at this year\u2019s PMENA conference in Philadelphia. Congratulations Denish! In this presentation, Denish and Dr. Greenstein share what they\u2019ve learned about how the designing and testing of 3-D […]<\/p>\n","protected":false},"author":34,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[18],"tags":[],"class_list":["post-207655","post","type-post","status-publish","format-standard","hentry","category-research"],"_links":{"self":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207655","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=207655"}],"version-history":[{"count":1,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207655\/revisions"}],"predecessor-version":[{"id":207658,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207655\/revisions\/207658"}],"wp:attachment":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=207655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/categories?post=207655"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/tags?post=207655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}