{"id":708,"date":"2024-07-15T11:03:28","date_gmt":"2024-07-15T11:03:28","guid":{"rendered":"https:\/\/research.ced.ncsu.edu\/ptmt\/?page_id=708"},"modified":"2026-07-07T16:50:12","modified_gmt":"2026-07-07T16:50:12","slug":"esp-module-1-introduction-to-noticing-student-thinking-in-a-technology-mediated-environment","status":"publish","type":"page","link":"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/esp-module-1-introduction-to-noticing-student-thinking-in-a-technology-mediated-environment\/","title":{"rendered":"ESP_AF Module 1-Introduction to Noticing Student Thinking in a Technology-mediated Environment"},"content":{"rendered":"\n<p class=\"has-text-color has-link-color wp-elements-6f5e0e6ce14e60c78c26e6e97b72c907 wp-block-paragraph\" style=\"color:#008473\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/\" data-type=\"page\" data-id=\"313\">Examining Students&#8217; Practices in Algebra and Function<\/a> &gt; Module 1<\/p>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group alignwide has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-7bc61772 wp-block-group-is-layout-constrained\" style=\"background-color:#008473;padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<div class=\"wp-block-group alignwide is-vertical is-content-justification-center is-layout-flex wp-container-core-group-is-layout-bc18b00a wp-block-group-is-layout-flex\">\n<div class=\"wp-block-columns has-base-2-color has-text-color has-background has-link-color wp-elements-6d449c16494817ac2f7d4aebcfafa026 is-layout-flex wp-container-core-columns-is-layout-17e9b11e wp-block-columns-is-layout-flex\" style=\"background-color:#008473;padding-top:0;padding-right:var(--wp--preset--spacing--10);padding-bottom:0;padding-left:var(--wp--preset--spacing--10)\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:15%\"><figure style=\"padding-top:0;padding-bottom:0;padding-left:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);height:150px\" class=\"alignleft wp-block-post-featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"256\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/ESP-icon.png\" class=\"attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\" style=\"height:150px;object-fit:contain;\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/ESP-icon.png 256w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/ESP-icon-150x150.png 150w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:85%\"><h2 style=\"background-color:#008473;font-size:clamp(1.743rem, 1.743rem + ((1vw - 0.2rem) * 2.095), 3rem);font-style:normal;font-weight:800\" class=\"has-link-color wp-elements-8aeaf3cb29b77748f3ec371c99b0a86d wp-block-post-title has-text-color has-base-2-color has-background\">ESP_AF Module 1-Introduction to Noticing Student Thinking in a Technology-mediated Environment<\/h2><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile is-vertically-aligned-top\" style=\"margin-top:0;margin-right:0;margin-bottom:0;margin-left:0;padding-top:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);grid-template-columns:auto 25%\"><div class=\"wp-block-media-text__content\">\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-9b9275ef002738d03938265d61eb9dba wp-block-paragraph\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0;font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">This is an introductory module to familiarize teachers with professional noticing of students\u2019 mathematical thinking and consider what it looks like to notice students\u2019 thinking in a technology-mediated environment. We introduce the Noticing in a Technology-mediated Learning Environment [NITE] framework and connections between teacher noticing and the 5 practices for orchestrating productive discussions<\/p>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"220\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/Module-1-Image-1-300x220.png\" alt=\"\" class=\"wp-image-732 size-medium\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/Module-1-Image-1-300x220.png 300w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/Module-1-Image-1.png 392w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-contrast-color has-text-color has-link-color has-system-sans-serif-font-family wp-elements-6c5848ca62cbbc56762d08afc5fd91e3\" style=\"font-size:clamp(1.743rem, 1.743rem + ((1vw - 0.2rem) * 2.095), 3rem);\"><strong>Overview Documents<\/strong><\/h3>\n\n\n\n<div class=\"wp-block-group alignwide has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-5e9685c2 wp-block-group-is-layout-constrained\" style=\"background-color:#008473;padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<div style=\"height:5px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide has-background is-layout-flex wp-container-core-columns-is-layout-3a88641f wp-block-columns-is-layout-flex\" style=\"background-color:#008473\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:22% auto\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"256\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white.png\" alt=\"\" class=\"wp-image-634 size-full\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white.png 256w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white-150x150.png 150w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-c0be7cbe39c416e063cd2aa73dd82221 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\"><a href=\"https:\/\/drive.google.com\/file\/d\/1x-MQozjK4W6FJ3f4eQls7DdR0EydJowR\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Read the Overview Document<\/strong><\/a><\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:22% auto\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"256\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/015-camera-1.png\" alt=\"\" class=\"wp-image-636 size-full\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/015-camera-1.png 256w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/015-camera-1-150x150.png 150w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-13cae1750952a60c209f40e73b7761c0 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\"><a href=\"https:\/\/www.youtube.com\/watch?v=pkKv-GoLzNk\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>How to Read a Module Overview Document<\/strong><\/a><\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:22% auto\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"256\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/014-download-2.png\" alt=\"\" class=\"wp-image-638 size-full\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/014-download-2.png 256w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/014-download-2-150x150.png 150w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-e77271e1b5a950926c2c7e81ea5d5c17 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\"><strong><a href=\"https:\/\/drive.google.com\/file\/d\/1d1ClnHGU2OkDge-DCA4dxHQz6yROlhyG\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\">Download All Materials<\/a><\/strong><\/p>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group has-base-2-color has-text-color has-link-color wp-elements-35180423a6bc7d3c67373f33bb44b2f8 has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">\n<h3 class=\"wp-block-heading has-text-align-center\" style=\"font-size:clamp(1.743em, 1.743rem + ((1vw - 0.2em) * 2.095), 3em);\"><strong>Module Elements<\/strong><\/h3>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignwide has-base-2-color has-text-color has-link-color wp-elements-746256b55dd68d50e8e7f87d43dc89eb has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table alignfull is-style-stripes\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\"><table class=\"has-base-2-color has-text-color has-background has-link-color\" style=\"background-color:#008473\"><tbody><tr><td><\/td><td><\/td><\/tr><tr><td><strong>1.1 Comparing and Contrasting Tasks and Technology<\/strong><br><br>Teachers compare two Desmos activities and reflect on the ways they are similar and different. This activity is designed to build an understanding of math action technologies and how they can be used to position students as math explorers.<br><\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/Student-Handout.png\"><a href=\"https:\/\/drive.google.com\/file\/d\/1fFyBfk_gk64386PS3m3rkrJWZOyLKRb3\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><br><strong>Class Materials<\/strong><\/a><br><br><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white.png\"><br><a href=\"https:\/\/drive.google.com\/file\/d\/1l3_cXHJAJkPeUksxRKX-BHxzIIM8j9KH\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Instructor Materials<\/strong><\/a><br><\/td><\/tr><tr><td><\/td><td><\/td><\/tr><tr><td><strong>1.2 Introduction to Professional Noticing in a Technology Mediated Environment<\/strong><br><br>Teachers explore a Desmos Activity, examine a video clip of a pair of students engaged with that activity, and then reflect on what they notice about the students\u2019 understanding. The purpose of this task is to establish a need for defining and developing professional noticing of students\u2019 mathematical thinking.<\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/Student-Handout.png\"><br><a href=\"https:\/\/drive.google.com\/file\/d\/1_dpZFcgMu4vW-TSghlQc--mGoy0CPMc9\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Class Materials<\/strong><\/a><br><br><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white.png\" alt=\"\"><br><a href=\"https:\/\/drive.google.com\/file\/d\/1Br5ymR011uYSIHbkw2F9TAzFYdHRJ7tI\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Instructor Materials<\/strong><\/a><\/td><\/tr><tr><td><\/td><td><\/td><\/tr><tr><td><strong>1.3 Whole Class Discussion of Introduction to Professional Noticing in a Technology Mediated Environment<\/strong><br><br>Teachers are explicitly introduced to a framework for professional noticing of students\u2019 mathematics thinking in a technology mediated environment and consider how the framework is situated within the 5 Practices for Productive Mathematics Discussions. As part of the introduction, teachers compare carefully chosen noticing exemplars from the Quadratics Functions-making sense of \u201ch\u201d task.<br><\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/07\/document_white.png\" alt=\"\"><br><a href=\"https:\/\/drive.google.com\/file\/d\/1yIOFW9eh8CA8ooRJ4mx1Plct7uHtJYAC\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Instructor Materials<\/strong><\/a><br><br><img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"59\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/Class-Slides.png\" alt=\"\"><br><a href=\"https:\/\/docs.google.com\/presentation\/d\/1r0V-gDf2MMI1X9_v0xhNdd-STZKbHqj9\/edit?usp=drive_link&amp;ouid=107264351909175515425&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Instructor Slides<\/strong><\/a><\/td><\/tr><tr><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Examining Students&#8217; Practices in Algebra and Function &gt; Module 1 This is an introductory module to familiarize teachers with professional noticing of students\u2019 mathematical thinking and consider what it looks like to notice students\u2019 thinking in a technology-mediated environment. We introduce the Noticing in a Technology-mediated Learning Environment [NITE] framework and connections between teacher noticing [&hellip;]<\/p>\n","protected":false},"author":66,"featured_media":230,"parent":313,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"test-blank-page","meta":{"_acf_changed":false,"ncst_custom_author":"","ncst_show_custom_author":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-708","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/708","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\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/comments?post=708"}],"version-history":[{"count":49,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/708\/revisions"}],"predecessor-version":[{"id":2037,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/708\/revisions\/2037"}],"up":[{"embeddable":true,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/313"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/media\/230"}],"wp:attachment":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/media?parent=708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}