{"id":1974,"date":"2022-03-17T20:54:13","date_gmt":"2022-03-17T20:54:13","guid":{"rendered":"https:\/\/www.terc.edu\/adultnumeracycenter\/?page_id=1974"},"modified":"2025-10-10T18:22:39","modified_gmt":"2025-10-10T18:22:39","slug":"classroom-observation-guide-resources-advanced-level","status":"publish","type":"page","link":"https:\/\/www.terc.edu\/adultnumeracycenter\/classroom-observation-guide-resources-advanced-level\/","title":{"rendered":"Classroom Observation Guide &#038; Resources (Advanced Level)"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading is-style-highlight\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2025\/10\/Math-Obs-Guide-Advanced_May2023.pdf\">Download the Quick Guide for Observing Classroom Content and Practice Content (Math Advanced CCRSAE Levels D and E)<\/a><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p>The examples below feature several Indicators from the <a href=\"https:\/\/www.doe.mass.edu\/acls\/edueffectiveness\/default.html\">ABE Professional Standards<\/a>. These Indicators are just a sampling from the full set of the ABE Professional Standards and were chosen because they create a sequence: the teacher plans a lesson that sets clear and high expectations, the teacher then delivers high quality instruction, and finally the teacher uses a variety of assessments to see if students understand the material or if re-teaching is necessary. These examples highlight teacher and student behaviors aligned to these Indicators that you can expect to see in a rigorous ABE advanced level Math class.<\/p>\n\n\n\n<h2 class=\"wp-block-heading is-style-highlight-with-dots\">Planning<\/h2>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-background has-fixed-layout\" style=\"background:radial-gradient(rgba(141,165,206,0.62) 0%,rgba(137,254,138,0.24) 0%)\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">PLANNING     <br><strong>(Indicators P1.1, P1.2, C1.1)<\/strong><br><br><\/th><th class=\"has-text-align-left\" data-align=\"left\">The teacher plans and implements CCRSAE aligned, academically rigorous, differentiated lessons that include clear content and language objectives, set high expectations for all learners, cultivate a safe classroom environment, encourage productive struggle, and motivate all students to succeed.<\/th><\/tr><\/thead><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgba(114,207,127,0.43) 0%)\"><tbody><tr><td><strong><strong>Virtual\/Hands-On Tools:<em> <\/em><\/strong><\/strong><a rel=\"noreferrer noopener\" href=\"https:\/\/adultnumeracynetwork.org\/Instructional-Routines\" target=\"_blank\">a problem to engage with<\/a> at arrival; thinking tools (graphing calculator, <a rel=\"noreferrer noopener\" href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\">Desmos<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/www.geogebra.org\/geometry?lang=en\" target=\"_blank\">GeoGebra<\/a>) and <a rel=\"noreferrer noopener\" href=\"https:\/\/www.sabes.org\/content\/math-manipulatives-remote-instruction\" target=\"_blank\">materials<\/a> (graph paper, rulers, <a rel=\"noreferrer noopener\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/spaghetti_line_animated.gif\" target=\"_blank\">spaghetti-lines<\/a>) accessible to students; <a rel=\"noreferrer noopener\" href=\"https:\/\/adultnumeracynetwork.org\/Math-and-Numeracy-Teaching-Resources\" target=\"_blank\">non-routine math problems and experiences<\/a><strong>.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgba(176,242,78,0.7) 0%,rgba(176,242,78,0.7) 100%)\"><tbody><tr><td><strong>What is the teacher doing?<\/strong><\/td><td><strong>What are adult learners doing?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><a href=\"https:\/\/vimeo.com\/manage\/videos\/265581987\/9a856ae62c\">Demonstrating sophisticated mathematical models<\/a> (flow charts, formulas, spreadsheets)<\/td><td class=\"has-text-align-left\" data-align=\"left\">Using mathematical models (computer generated <a href=\"https:\/\/vimeo.com\/689453582\/4eaeebf148\" target=\"_blank\" rel=\"noreferrer noopener\">Desmos<\/a> or GeoGebra), equations, graphs (hand drawn or <a href=\"https:\/\/vimeo.com\/689451385\/a89ee354b9\" target=\"_blank\" rel=\"noreferrer noopener\">spreadsheet<\/a>).<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Creating or selecting <a rel=\"noreferrer noopener\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/CALM_U15L3_Lesson_Package.pdf\" target=\"_blank\">culturally responsive lessons<\/a> that <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/our-math-stories\/\" target=\"_blank\" rel=\"noreferrer noopener\">engage and sustain student attention<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">Engaging in <a href=\"https:\/\/vimeo.com\/manage\/videos\/162674166\" target=\"_blank\" rel=\"noreferrer noopener\">challenging learning tasks<\/a> regardless of learning needs (linguistic and cultural background)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Establishing <a rel=\"noreferrer noopener\" href=\"https:\/\/adultnumeracynetwork.org\/Math-and-Numeracy-Teaching-Resources\" target=\"_blank\">classroom routines<\/a> that require students to defend their thinking using a logical progression<\/td><td class=\"has-text-align-left\" data-align=\"left\">Justifying a solution method using a logical progression of arguments and critiquing the reasoning of others<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/NixTheTricks21_highlighted.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Focusing attention on mathematical language<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">Using mathematical language precisely to convey meaning<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading is-style-highlight-with-dots\">Instruction<\/h2>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-background has-fixed-layout\" style=\"background:radial-gradient(rgba(141,165,206,0.62) 0%,rgba(137,254,138,0.24) 0%)\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">INSTRUCTION     <br><strong>(Indicators P1.3, P1.4)<\/strong><br><br><\/th><th class=\"has-text-align-left\" data-align=\"left\">The teacher delivers high quality, culturally responsive instruction that meets the diverse needs of all students and engages them with meaningful topics and tasks that develop students\u2019 critical thinking and problem-solving skills.<\/th><\/tr><\/thead><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgba(114,207,127,0.43) 0%)\"><tbody><tr><td><strong>Virtual\/Hands-On Tools:<em> <\/em><\/strong><br><a href=\"https:\/\/solveme.edc.org\/mobiles\/\" target=\"_blank\" rel=\"noreferrer noopener\">balance scale<\/a>, <a href=\"https:\/\/www.nctm.org\/Classroom-Resources\/Illuminations\/Interactives\/Algebra-Tiles\/\" target=\"_blank\" rel=\"noreferrer noopener\">algebra tiles<\/a>, spreadsheets, grid paper, <a href=\"https:\/\/www.sabes.org\/video\/singapore-strips-how-video\" target=\"_blank\" rel=\"noreferrer noopener\">bar models<\/a>, <a href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\" rel=\"noreferrer noopener\">Desmos calculator<\/a>, <a href=\"https:\/\/www.mathopenref.com\/cylinderarea.html\" target=\"_blank\" rel=\"noreferrer noopener\">3-dimensional solid objects<\/a>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgba(176,242,78,0.7) 0%,rgba(176,242,78,0.7) 100%)\"><tbody><tr><td><strong>What is the teacher doing?<\/strong><\/td><td><strong>What are adult learners doing?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Creating a culture of being careful and precise when <a rel=\"noreferrer noopener\" href=\"https:\/\/vimeo.com\/689452953\/b3129605ef\" target=\"_blank\">communicating mathematical ideas<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">Negotiating with others in response to new ideas, preferences, or contributions<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><a href=\"https:\/\/vimeo.com\/538013493\/3879e1a3eb\" target=\"_blank\" rel=\"noreferrer noopener\">Highlighting commonalities, differences, and patterns in students\u2019 ideas<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/CALM_U20L1_SalaryAndCommissionsHO_AK.docx\" target=\"_blank\" rel=\"noreferrer noopener\">Referencing mathematical elements<\/a>&nbsp;in context while logically providing claims and counterclaims<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Providing opportunities to <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/will-this-be-on-the-test-mar-2022\/\" target=\"_blank\" rel=\"noreferrer noopener\">evaluate different approaches to a problem<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">Actively incorporating others into discussions about mathematical ideas, incorporating a variety of approaches<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading is-style-highlight-with-dots\">Assessment<\/h2>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-background has-fixed-layout\" style=\"background:radial-gradient(rgba(141,165,206,0.62) 0%,rgba(137,254,138,0.24) 0%)\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">ASSESSMENT     <br>(Indicators P2.1, P2.2, P2.3)&nbsp;<br><br><\/th><th class=\"has-text-align-left\" data-align=\"left\">The teacher uses a variety of formative and summative assessments to measure student learning and understanding, evaluate the effectiveness of instruction, develop differentiated and advanced learning experiences, and inform future instruction.<\/th><\/tr><\/thead><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgba(114,207,127,0.43) 0%)\"><tbody><tr><td><strong>Virtual\/Hands-On Tools:<em> <\/em><\/strong><a rel=\"noreferrer noopener\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/CALM_U21L3_ExitTicketHO.pdf\" target=\"_blank\">exit tickets<\/a>, math journals or logs, <a rel=\"noreferrer noopener\" href=\"https:\/\/vimeo.com\/383597686\" target=\"_blank\">My Favorite No<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/SPBR_TB_Open_Observation_p9.pdf\" target=\"_blank\">checklists for teacher observation of objectives being demonstrated or evidence of learning<\/a>, or completion of a project.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgba(176,242,78,0.7) 0%,rgba(176,242,78,0.7) 100%)\"><tbody><tr><td><strong>What is the teacher doing?<\/strong><\/td><td><strong>What are adult learners doing?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Prompting students&#8217; reasoning; listening to responses to gauge their understanding<\/td><td class=\"has-text-align-left\" data-align=\"left\">Demonstrating their thinking by drawing, <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/ObsGuide_Adv_Assess_ModelGraph.jpg\" target=\"_blank\" rel=\"noreferrer noopener\">modeling with graphs or equations<\/a>, and discussing and sharing their work<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Conducting frequent checks for understanding and adjusting instruction accordingly<\/td><td class=\"has-text-align-left\" data-align=\"left\">Incorporating feedback from the teacher and their peers to adjust their thinking<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Using multiple formative approaches to assess students (journals, analyzing group work, student explanation)<\/td><td class=\"has-text-align-left\" data-align=\"left\">Using <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2022\/03\/multiple_representations_streamingTV-1.docx\" target=\"_blank\" rel=\"noreferrer noopener\">drawings, diagrams, graphs, equations<\/a>, and <a rel=\"noreferrer noopener\" href=\"https:\/\/vimeo.com\/689453582\/4eaeebf148\" target=\"_blank\">computer-generated models<\/a> to show understanding and explain mathematical concepts <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2025\/10\/Math-Obs-Guide-Advanced_May2023.pdf\">Download the Quick Guide for Observing Classroom Content and Practice Content (Math Advanced CCRSAE Levels D and E)<\/a><\/p>\n<p>The examples below feature several Indicators from the <a href=\"https:\/\/www.doe.mass.edu\/acls\/edueffectiveness\/default.html\">ABE Professional Standards<\/a>. These Indicators are just a sampling from the full set of the ABE Professional Standards and were chosen because they create a sequence: the teacher plans a lesson that sets clear and high expectations, the teacher then delivers high quality instruction, and finally the teacher uses a variety of assessments to see if students understand the material or if re-teaching is necessary.  <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/classroom-observation-guide-resources-advanced-level\/\">&nbsp;&raquo;&nbsp;Read more<\/a><\/p>\n","protected":false},"author":16,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"1542,1134,2514,788,60,1090","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-1974","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/1974","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/comments?post=1974"}],"version-history":[{"count":42,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/1974\/revisions"}],"predecessor-version":[{"id":4313,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/1974\/revisions\/4313"}],"wp:attachment":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/media?parent=1974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}