{"id":209,"date":"2024-05-31T01:11:21","date_gmt":"2024-05-31T01:11:21","guid":{"rendered":"https:\/\/research.ced.ncsu.edu\/ptmt\/?page_id=209"},"modified":"2026-04-01T19:07:18","modified_gmt":"2026-04-01T19:07:18","slug":"materials","status":"publish","type":"page","link":"https:\/\/research.ced.ncsu.edu\/ptmt\/materials\/","title":{"rendered":"Materials"},"content":{"rendered":"\n<div class=\"wp-block-group alignfull has-base-2-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-6b476306 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<p class=\"has-link-color wp-elements-c7282f3347f17414eb8d3f760d02f935 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Several sets of a materials have been developed through various PTMT projects. All PTMT materials are based on research on teaching and learning mathematics with technology and have been iteratively revised based on empirical studies with teachers. For more information read our research-based&nbsp;<strong><a href=\"https:\/\/drive.google.com\/file\/d\/1F3wJHSiH0Bav5dPLTO3LEtZAs3LFKSht\/view?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">Guiding Framework (PDF)<\/a> <\/strong>and see the various research studies under Impact.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Materials are organized in collections and can be accessed through the blocks below. Materials within a collection are envisioned to be used together, though many teacher educators will use materials across several collections to form the basis of content for a course within a mathematics teacher education program.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-container-core-group-is-layout-ed43718e wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--50);padding-right:var(--wp--preset--spacing--50);padding-bottom:var(--wp--preset--spacing--50);padding-left:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-ef10d34a wp-block-columns-is-layout-flex\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">\n<div class=\"wp-block-column has-background has-medium-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#008473;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><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\" alt=\"\" class=\"wp-image-230\" style=\"width:65px;height:auto\" 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>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-dd068b582f90f8bd4f6da9cdf28e9a54\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/\" data-type=\"page\" data-id=\"313\"><strong>Examining Students\u2019 Practices in Algebra and Function<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-24549db7b88f877d7198e592acc94294 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">These materials connect with the Teaching Algebra materials to support teachers\u2019 development of pedagogical skills related to professional noticing of student thinking and engaging in productive discussions in technology-mediated learning environments. Teachers engage in tasks and analyze videos of students\u2019 work.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#d14905;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/alg_page_logo-1014x1024.png\" alt=\"\" class=\"wp-image-229\" style=\"width:65px;height:auto\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-811a76cc3b95b486e744c2cbe5233bf0\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-algebra\/\" data-type=\"page\" data-id=\"71\"><strong>Teaching Algebra<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-beaab1e0a098d9d79ea88ecf1a91ccec wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">The Teaching Algebra materials consist of 7 chapters that provide strategies for teaching algebra with dynamic technology explorations of important topics such as variables, equality, rate of change, and functions.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-ef10d34a wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#4156a1;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"128\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/stat-icon.png\" alt=\"\" class=\"wp-image-232\" style=\"width:50px;height:auto\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-16040b447d355ea8c15e6d73caa62eb1\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-statistics-investigations\/\" data-type=\"page\" data-id=\"342\"><strong>Teaching Statistics Investigations<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-574ebed2333b4586e6f9d125f9b12bd0 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">This set of materials includes four chapters that prepare teachers to use large multivariate data and a new free online tool, CODAP, to engage in similar investigations as in Chapters 1-4 of the Teaching Data Analysis and Probability materials. <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#427e93;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"259\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/dap_page_logo.png\" alt=\"\" class=\"wp-image-233\" style=\"width:65px;height:auto\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/dap_page_logo.png 320w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/dap_page_logo-300x243.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-c2d522f8869d79166223b8037b320a89\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-geometry\/\" data-type=\"page\" data-id=\"357\"><\/a><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-data-analysis-and-probability\/\" data-type=\"page\" data-id=\"366\"><strong>Teaching Data Analysis and Probability<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-86456d1e10216829f34972036d911ae0 wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">This set of materials includes 6 chapters that utilize tools such as TinkerPlots, Fathom, Excel, and graphing calculators to engage teachers in statistics investigations using multivariate data. Topics include learning to teach distributions, variability, bivariate relationships, probability, and simulations.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-ef10d34a wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#00703c;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"710\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/geometric_thinking_icon_1500px_300dpi-1024x710.png\" alt=\"\" class=\"wp-image-1938\" style=\"width:95px\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/geometric_thinking_icon_1500px_300dpi-1024x710.png 1024w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/geometric_thinking_icon_1500px_300dpi-300x208.png 300w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/geometric_thinking_icon_1500px_300dpi-768x532.png 768w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2026\/03\/geometric_thinking_icon_1500px_300dpi.png 1500w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-b9538a47798d199ac0a49e2f574d8434\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><strong><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/leading-productive-discussions-with-web-based-dynamic-geometry-tools-lead-dg\/\" data-type=\"link\" data-id=\"https:\/\/research.ced.ncsu.edu\/ptmt\/leading-productive-discussions-with-web-based-dynamic-geometry-tools-lead-dg\/\">Leading Productive Discussions with Web-Based Dynamic Geometry Tools<\/a><\/strong><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-040d765a4fefed22140330f25780a7ee wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">These materials build from the Teaching Geometry materials and support teachers&#8217; development of professional noticing and discussion practices in technology-mediated classrooms through engaging in dynamic geometry tasks and analyzing videos of students&#8217; thinking in those environments. <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#7d8c1f;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1015\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo-1024x1015.png\" alt=\"\" class=\"wp-image-231\" style=\"width:65px;height:auto\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo-1024x1015.png 1024w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo-300x297.png 300w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo-150x150.png 150w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo-768x761.png 768w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/geo_page_logo.png 1332w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-a4ec2f79fae3c08a49a60f9953404f3a\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-geometry\/\" data-type=\"page\" data-id=\"357\"><strong>Teaching Geometry<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-9ab27421f27611a12b434059f9323c7a wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">The 7 chapters in the Teaching Geometry materials engage teachers with how dynamic approaches to geometry can change students&#8217; understanding of concepts such as polygon properties, transformations, similarity, and symmetry.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d572715a wp-block-columns-is-layout-flex\" style=\"padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\">\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#990000;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"128\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/05\/Voices-icon.png\" alt=\"\" class=\"wp-image-234\" style=\"width:65px;height:auto\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-1aed6788ec07210d40a4ae141ce61350\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/voices-from-the-field\/\" data-type=\"page\" data-id=\"2\"><strong>Voices from the Field<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-572b8667a2df6a04f0422de506e5e67b wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">A collection of video clips representing how real teachers use technology in their mathematics classrooms. Some clips illustrate how teachers and students use technology in lessons. Other clips show teachers and experts discussing issues related to their planning and implementation of technology.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#fac800;padding-top:var(--wp--preset--spacing--10);padding-right:var(--wp--preset--spacing--10);padding-bottom:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"2134\" height=\"2134\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows.png\" alt=\"\" class=\"wp-image-1774\" style=\"width:65px;height:auto\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows.png 2134w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-300x300.png 300w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-1024x1024.png 1024w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-150x150.png 150w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-768x768.png 768w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-1536x1536.png 1536w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/09\/arrows-2048x2048.png 2048w\" sizes=\"auto, (max-width: 2134px) 100vw, 2134px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-base-2-color has-text-color has-link-color wp-elements-58f5783ef096c97002a2081f4c2199d1\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/geometricfunctions.org\/fc\/index.shtml\" data-type=\"link\" data-id=\"https:\/\/geometricfunctions.org\/fc\/index.shtml\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Forging Connections Between Geometry and Functions<\/strong><\/a><\/h3>\n\n\n\n<p class=\"has-base-2-color has-text-color has-link-color wp-elements-d5c191103bd55fd715e8bc4d548c9e9e wp-block-paragraph\" style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">A collection of materials on an <strong><em>external site<\/em><\/strong> that were developed through a PTMT-related project. Activities use web-based Sketchpad activities to develop deeper understandings of functions through a geometric approach.  <\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Several sets of a materials have been developed through various PTMT projects. All PTMT materials are based on research on teaching and learning mathematics with technology and have been iteratively revised based on empirical studies with teachers. For more information read our research-based&nbsp;Guiding Framework (PDF) and see the various research studies under Impact. Materials are [&hellip;]<\/p>\n","protected":false},"author":66,"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-209","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/209","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=209"}],"version-history":[{"count":49,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/209\/revisions"}],"predecessor-version":[{"id":1960,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/209\/revisions\/1960"}],"wp:attachment":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/media?parent=209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}