{"id":313,"date":"2024-06-05T02:31:21","date_gmt":"2024-06-05T02:31:21","guid":{"rendered":"https:\/\/research.ced.ncsu.edu\/ptmt\/?page_id=313"},"modified":"2024-09-10T16:04:05","modified_gmt":"2024-09-10T16:04:05","slug":"examining-students-practices-in-algebra-and-function","status":"publish","type":"page","link":"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/","title":{"rendered":"Examining Students\u2019 Practices in Algebra and Function"},"content":{"rendered":"\n<div class=\"wp-block-group alignwide has-base-2-color has-text-color has-background has-link-color wp-elements-554aeb37e1dfc8c44ff90b488ba66b6b has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#008473\">\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile is-vertically-aligned-top\" style=\"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);grid-template-columns:16% 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\/05\/ESP-icon.png\" alt=\"\" class=\"wp-image-230 size-full\" 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 class=\"wp-block-media-text__content\">\n<p style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">These modules are designed as a companion to the <a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/teaching-algebra\/\"><strong>Teaching Algebra Module<\/strong><\/a>. The modules focus on supporting preservice secondary mathematics teachers\u2019 development of pedagogical skills related to professional noticing of student thinking and utilizing the 5 Practices to Orchestrate Productive Mathematics Discussions in technology-mediated learning environments. Each module has opportunities for teachers to engage in technology-mediated tasks in algebra and functions and view several videos of students working on the same tasks. The first module describes the framework that guided task development &#8211; making explicit the importance of the coordination of students\u2019 engagement (what they do and see as a result) with the technology and their expressed mathematical understandings. Consistent with the Teaching Algebra Module materials, tasks in the 8 modules are designed to simultaneously develop a deeper understanding of foundational algebraic ideas and build technological pedagogical algebra knowledge.<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading alignwide has-text-align-center\" style=\"font-size:clamp(1.743rem, 1.743rem + ((1vw - 0.2rem) * 2.095), 3rem);\"><strong>Welcome: PTMT-<strong>ESP<\/strong> Team<\/strong><\/h4>\n\n\n\n<div class=\"wp-block-group alignwide has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-bottom is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"PTMT ESP Welcome Video\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qLJDzCTZDXg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image alignright size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"542\" height=\"305\" src=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/08\/PTMT-ESP-team-1-edited.png\" alt=\"ESP-PTMT Team\" class=\"wp-image-1253\" style=\"width:626px;height:auto\" srcset=\"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/08\/PTMT-ESP-team-1-edited.png 542w, https:\/\/research.ced.ncsu.edu\/ptmt\/wp-content\/uploads\/sites\/21\/2024\/08\/PTMT-ESP-team-1-edited-300x169.png 300w\" sizes=\"auto, (max-width: 542px) 100vw, 542px\" \/><\/figure>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignwide has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignwide has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading alignwide has-text-align-center\" style=\"font-size:clamp(1.743rem, 1.743rem + ((1vw - 0.2rem) * 2.095), 3rem);\"><strong>Overview Materials<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignfull has-base-2-color has-text-color has-link-color wp-elements-3421060cdaf3a005da28056699112bb9 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 has-fixed-layout\" style=\"background-color:#008473\"><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong> <a href=\"https:\/\/drive.google.com\/file\/d\/1apVTbuJFghUkANVK8CnaJ0ilfUMNBf5Q\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\">PTMT-ESP Algebra &amp; Function Guiding Framework<\/a><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong><a href=\"https:\/\/drive.google.com\/file\/d\/1gTeoCsI1MRV5_UwZRQ6XYq9Md1a6RD37\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\">Module Crosswalk with Standards and Practices<\/a><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong> <a href=\"https:\/\/drive.google.com\/file\/d\/16t1YhDR-J2BiPu_O7eZV-9PZnaOaS8Rc\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\">Module Suggestions by Course Type<\/a><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=pkKv-GoLzNk\" target=\"_blank\" rel=\"noreferrer noopener\">How to Read a Module Overview Document<\/a><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong><a href=\"https:\/\/drive.google.com\/file\/d\/1KfyDPa-4jnrGHpNoYk2uniTFWY4v3GXD\/view?usp=drive_link\" target=\"_blank\" rel=\"noreferrer noopener\">Video Master List PTMT-ESP Algebra and Function<\/a><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading has-text-align-center\" style=\"font-size:clamp(1.743rem, 1.743rem + ((1vw - 0.2rem) * 2.095), 3rem);\"><strong>Choose a Module Below<\/strong><\/h2>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-ec2e7a44 wp-block-columns-is-layout-flex\" style=\"padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-c03f7e30e7f49b35f649958fb3197aaa 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-5323345695af83d091fc5f7d74445d81\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/esp-module-1-introduction-to-noticing-student-thinking-in-a-technology-mediated-environment\/\" data-type=\"page\" data-id=\"708\"><strong>1. Introduction to Noticing Student Thinking in a Technology-mediated Environment<\/strong><\/a><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Introduces the construct of professional noticing of students\u2019 mathematical thinking in technology-mediated learning environments and its connection to the 5 Practices for Orchestrating Productive Mathematical Discussions which are used throughout the modules.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-bf7c19c5ba9bf0c83bdda1ecf3f8539e 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-71a7c825f1f3bb931efa8e5f66d49dbb\" style=\"font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/esp-module-2-algebraic-equivalence\/\"><strong>2. Algebraic Equivalence<\/strong><\/a><\/h3>\n\n\n\n<p style=\"font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine the ways in which students engage with both virtual algebra tiles and CAS to build an understanding of completing the square with an emphasis on noticing student thinking and posing purposeful questions.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-e89009d3530763bda880080d0d91b788 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-3ba54aad90c1db5ade6cfa98786b05af\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/esp-module-3-qualitative-analysis-of-representations-of-functional-relationships\/\"><strong>3. Qualitative Analysis of Representations of Functional Relationships<\/strong><\/a><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine ways students use dynamic graphing tools and simulations to describe functional relationships qualitatively with an emphasis on anticipating and interpreting student thinking to inform the orchestration of productive mathematics discussions.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-be1e02109cf30c1f65162542a60b3d32 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-487cb09bb668f5ee334568d98d0c657f\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/?page_id=771\"><strong>4. Characteristics of Function Families<\/strong><\/a><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine ways students use dynamic graphing tools, spreadsheets, and simulations to compare and contrast linear, quadratic, and exponential rates of change with an emphasis on selecting, and sequencing using the Desmos teacher dashboard and posing purposeful questions to assess and advance student thinking.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-c88b72823948a8247845fa2102153594 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-41e05ec40373bb2b3063fa6890db2037\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><strong><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/esp-module-5-function-concept-functions-and-non-functions\/\">5. Function Concept &#8211; Functions and Non-Functions<\/a><\/strong><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine how students engage with a non-standard representation of function, a Vending Machine GeoGebra applet, to develop a deep understanding of function with an emphasis on notice and wonder, predicting student thinking, and selecting and sequencing.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-9b44d73417dbd83f71ba798cfd044d16 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-9fb96c53fc0804764a24cea65dc8ba81\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><strong><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/esp-module-6-key-features-of-quadratic-functions\/\">6. Key Features of Quadratic Functions<\/a><\/strong><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine the ways that the design of technology-enhanced tasks align with particular types of learning and performance goals through examining the ways that students engage with three tasks related to the parameters of quadratic functions in vertex form.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-3253a7d2b8c569eccd667827b0606d00 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-ea6e2431b3dcc05d31ebb5dcb8c04913\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><strong><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/esp-module-7-key-features-of-the-sine-function\/\" data-type=\"page\" data-id=\"781\">7. Key Features of the Sine Function<\/a><\/strong><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine ways in which students engage with dynamic graphing tools to build on their understanding of transformations of function to identify key characteristics of the graph of a sine function (i.e., amplitude, midline, and period) with an emphasis on monitoring student thinking to inform orchestration of a productive mathematics discussion.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-base-2-color has-text-color has-background has-link-color wp-elements-a28477dd27be87469437beed2ee010e8 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<h3 class=\"wp-block-heading has-base-2-color has-text-color has-link-color wp-elements-f411ea1485b79677f636399c21e620d0\" style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(1.25rem, 1.25rem + ((1vw - 0.2rem) * 1.25), 2rem);\"><strong><a href=\"https:\/\/research.ced.ncsu.edu\/ptmt\/examining-students-practices-in-algebra-and-function\/esp-module-8-using-dynagraphs-to-explore-functions\/\">8. Using Dynagraphs to Explore Functions<\/a><\/strong><\/h3>\n\n\n\n<p style=\"padding-right:var(--wp--preset--spacing--10);padding-left:var(--wp--preset--spacing--10);font-size:clamp(0.984rem, 0.984rem + ((1vw - 0.2rem) * 0.86), 1.5rem);\">Examine ways in which students engage with dynagraphs, an alternate representation of function, to reason about rate of change, relative distance, and relative direction with an emphasis on anticipating and noticing student thinking.<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>These modules are designed as a companion to the Teaching Algebra Module. The modules focus on supporting preservice secondary mathematics teachers\u2019 development of pedagogical skills related to professional noticing of student thinking and utilizing the 5 Practices to Orchestrate Productive Mathematics Discussions in technology-mediated learning environments. Each module has opportunities for teachers to engage in [&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-313","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/313","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=313"}],"version-history":[{"count":57,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/313\/revisions"}],"predecessor-version":[{"id":1918,"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/pages\/313\/revisions\/1918"}],"wp:attachment":[{"href":"https:\/\/research.ced.ncsu.edu\/ptmt\/wp-json\/wp\/v2\/media?parent=313"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}