{"id":953,"date":"2026-04-01T19:05:55","date_gmt":"2026-04-01T19:05:55","guid":{"rendered":"https:\/\/research.ced.ncsu.edu\/ptmt\/?page_id=953"},"modified":"2026-04-01T19:10:03","modified_gmt":"2026-04-01T19:10:03","slug":"leading-productive-discussions-with-web-based-dynamic-geometry-tools-lead-dg","status":"publish","type":"page","link":"https:\/\/research.ced.ncsu.edu\/ptmt\/leading-productive-discussions-with-web-based-dynamic-geometry-tools-lead-dg\/","title":{"rendered":"Leading Productive Discussions with Web-Based Dynamic Geometry Tools (LEAD-DG)"},"content":{"rendered":"\n
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These modules are designed to support preservice secondary mathematics teachers\u2019 development of pedagogical skills related to professional noticing of student thinking and leading productive mathematics discussions in technology-mediated geometry environments. The modules engage teacher candidates in dynamic geometry tasks and provide opportunities to analyze videos and samples of student work on the same tasks. Throughout the sequence, attention is given to the coordination of students\u2019 interactions with technology and their expressed geometric reasoning. Tasks are intentionally designed to deepen understanding of foundational geometric ideas while simultaneously building technological pedagogical geometry knowledge.<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n

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Overview Materials<\/strong><\/h2>\n\n\n\n
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Choose a Module Below<\/strong><\/h2>\n<\/div>\n\n\n\n
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1. Introduction to DGEs and Exploring Triangles<\/a><\/strong><\/h3>\n\n\n\n

Explores triangle concepts and constructions in dynamic geometry environments while developing instructional goals, selecting high-cognitive-demand tasks, and anticipating student thinking.<\/p>\n<\/div>\n\n\n\n

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2. Quadrilaterals, Geometric Thinking, and Anticipating<\/strong><\/h3>\n\n\n\n

Engages teachers in defining and classifying quadrilaterals while using the Geometric Thinking Framework to analyze and interpret students\u2019 reasoning in dynamic geometry environments.<\/p>\n<\/div>\n<\/div>\n\n\n\n

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3. Transformations, Monitoring, and Posing Questions<\/strong><\/h3>\n\n\n\n

Investigates rigid motions, dilations, and similarity while strengthening teachers\u2019 abilities to anticipate, monitor, and pose questions that advance students\u2019 geometric reasoning.<\/p>\n<\/div>\n\n\n\n

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4. Geometric Modeling and Orchestrating Productive Discussions<\/strong><\/h3>\n\n\n\n

Connects geometric modeling and area concepts with the Five Practices to support selecting, sequencing, and connecting student ideas during whole-class discussions.<\/p>\n<\/div>\n<\/div>\n\n\n\n

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These modules are designed to support preservice secondary mathematics teachers\u2019 development of pedagogical skills related to professional noticing of student thinking and leading productive mathematics discussions in technology-mediated geometry environments. The modules engage teacher candidates in dynamic geometry tasks and provide opportunities to analyze videos and samples of student work on the same tasks. Throughout […]<\/p>\n","protected":false},"author":73,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"ncst_custom_author":"","ncst_show_custom_author":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-953","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/953","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/users\/73"}],"replies":[{"embeddable":true,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/comments?post=953"}],"version-history":[{"count":9,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/953\/revisions"}],"predecessor-version":[{"id":1961,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/953\/revisions\/1961"}],"wp:attachment":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/media?parent=953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}