{"id":1879,"date":"2023-10-25T01:00:26","date_gmt":"2023-10-25T01:00:26","guid":{"rendered":"https:\/\/www.terc.edu\/mathequityforum\/?p=1879"},"modified":"2025-11-26T14:59:59","modified_gmt":"2025-11-26T14:59:59","slug":"a-cycle-of-reflection-learning-more-about-our-students","status":"publish","type":"post","link":"https:\/\/www.terc.edu\/mathequityforum\/a-cycle-of-reflection-learning-more-about-our-students\/","title":{"rendered":"A Cycle of Reflection: Learning More About Our Students"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><br>by <a href=\"https:\/\/www.terc.edu\/mathequityforum\/team\/\" data-type=\"link\" data-id=\"https:\/\/www.terc.edu\/mathequityforum\/team\/\">Marta Garcia<\/a> and <a href=\"https:\/\/www.terc.edu\/mathequityforum\/team\/\" data-type=\"link\" data-id=\"https:\/\/www.terc.edu\/mathequityforum\/team\/\">Annie Sussman<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">October 25, 2023<\/p>\n\n\n\n<blockquote class=\"wp-block-quote has-text-align-center is-style-plain is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center wp-block-paragraph\"><br><em>\u201cI\u2019m hoping to develop a math community where everyone has a voice and I can elevate the voices of students who may not have participated in discussions in the past.\u201d<\/em>&nbsp;<\/p>\n<cite>\u2014 Berta, Grade 2           <br><\/cite><\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Developing an equitable math learning community that centers each student\u2019s identity, needs, and voice requires that teachers take the time to learn about their students and then act on the knowledge they have gained. In our <a href=\"https:\/\/www.terc.edu\/mathequityforum\/what-do-your-students-think-about-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">first blog<\/a>, <em>\u201cWhat Do Your Students Think About Math?: Student Reflection as a Tool for Finding Out\u201d<\/em> we offered an invitation to engage students in sharing their experiences and reactions to math class:&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"has-background wp-block-paragraph\" style=\"background:linear-gradient(135deg,rgb(210,248,212) 0%,rgb(210,248,212) 100%)\"><em>When we take time to listen and respond to the feedback students offer, we demonstrate our commitment to fostering a supportive learning community as well as our respect for our students\u2019 contributions. If used regularly, such reflections can help us see how students\u2019 thoughts about mathematics, and about themselves as learners, are changing over time (or not). This choice to pay attention to and respond to students\u2019 needs and current dispositions is a critical step in developing an equitable learning environment.<\/em>&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Interested in learning more about how teachers can develop equitable math learning environments, our team sought input from teachers. We invited a group of elementary math teachers from diverse backgrounds and communities, to work with us on the development and field testing of a variety of Equity Resources. One such resource is a <a href=\"https:\/\/www.terc.edu\/mathequityforum\/terc_products\/getting-to-know-your-students\/\" target=\"_blank\" rel=\"noreferrer noopener\">Student Reflection Tool<\/a> which provides a bank of questions, and sample questionnaires and surveys, that teachers can use to learn more about their students&#8217; previous and current math experiences. The Tool is organized into four areas of reflection.\u00a0<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students\u2019 prior experiences with mathematics&nbsp;<\/li>\n\n\n\n<li>Students\u2019 reflections on themselves as math learners&nbsp;<\/li>\n\n\n\n<li>Students\u2019 beliefs about math and expectations for math class&nbsp;<\/li>\n\n\n\n<li>Students\u2019 participation in math class&nbsp;<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"alignright size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"197\" src=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Emmanuel-300x197.jpeg\" alt=\"A 3rd grade teachers discusses a math problem with a student.\" class=\"wp-image-1888\" srcset=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Emmanuel-300x197.jpeg 300w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Emmanuel.jpeg 530w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Teachers in the research group\u2014such as Berta, whose quote began this blog\u2014made student reflection an ongoing part of their practice. As they posed questions and collected responses, they found that reflecting on individual students\u2019 answers and on broader trends offered them fertile ground for analyzing their classroom community. Often these responses raised new questions they wanted to investigate and they did so in a variety of ways, by:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Conducting an individual interview&nbsp;&nbsp;<\/li>\n\n\n\n<li>Asking a follow up question&nbsp;<\/li>\n\n\n\n<li>Facilitating a whole class conversation&nbsp;<\/li>\n\n\n\n<li>Working with a small group who may have exhibited the same needs.&nbsp;<\/li>\n\n\n\n<li>Reflecting on their practice&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">For example, Carmen asked her students to write a response to the question: <em>What do you do when something feels hard or challenging for you during math class? <\/em>She analyzed and then reflected on the responses:&nbsp;<\/p>\n\n\n\n<blockquote class=\"wp-block-quote has-text-align-center is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center wp-block-paragraph\" id=\"block-dba26ff6-52e1-492f-8738-cd0884907b4a\"><em>\u201cThe responses revealed that my students are feeling challenged and not wanting to share. Perhaps I will facilitate a discussion about what to do when you think something is hard. We\u2019ve had lots of discussions about mistakes and brain growth already, but they may benefit from a discussion about what to do when you\u2019re stuck.\u201d<\/em><\/p>\n<cite><em>\u2014 Carmen, Grad<\/em>e 3<\/cite><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Overtime, teachers\u2019 work suggested a cycle: gathering students\u2019 reflections, analyzing students\u2019 responses, and then identifying action steps.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"263\" src=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Inv_Equ_flowcharts_4-02-300x263.png\" alt=\"Student Reflection Tool: cycle of reflection\" class=\"wp-image-1887\" srcset=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Inv_Equ_flowcharts_4-02-300x263.png 300w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Inv_Equ_flowcharts_4-02-768x674.png 768w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/10\/Inv_Equ_flowcharts_4-02.png 1018w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Teachers examined and wrote about many aspects of students\u2019 math identities and experiences as they used this tool to better understand and respond to their students\u2019 needs. <a href=\"https:\/\/www.terc.edu\/mathequityforum\/how-student-reflection-helped-two-teachers-learn-about-their-students\/\">The next&nbsp;blog<\/a>&nbsp;shares some teachers&#8217; stories, showing the cycle in action.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><em>Note<\/em>:&nbsp;<\/strong>This blog is the third in a series about student reflection. Read the&nbsp;<a href=\"https:\/\/www.terc.edu\/mathequityforum\/student-reflection-why-ask-students-what-they-think-about-math\/\">first<\/a>,&nbsp;<a href=\"https:\/\/www.terc.edu\/mathequityforum\/what-do-your-students-think-about-math\/\">second<\/a>, and&nbsp;<a href=\"https:\/\/www.terc.edu\/mathequityforum\/how-student-reflection-helped-two-teachers-learn-about-their-students\/\">fourth<\/a> blogs.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>References<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Garcia, Marta &amp; Sussman, Annie (2023, October 13). <a data-type=\"link\" data-id=\"https:\/\/www.terc.edu\/mathequityforum\/what-do-your-students-think-about-math\/\" href=\"https:\/\/www.terc.edu\/mathequityforum\/what-do-your-students-think-about-math\/\">What Do Your Students Think About Math?: Student Reflection as a Tool for Finding Out<\/a>. <em>Math Equity Forum Blog.<\/em><br><br>The Math Equity Forum at TERC. (2023, October).\u00a0<a href=\"https:\/\/www.terc.edu\/mathequityforum\/terc_products\/getting-to-know-your-students\/\" target=\"_blank\" rel=\"noreferrer noopener\">Student\u00a0Reflection\u00a0Tool: Getting to Know Your Students<\/a>. Forum for Equity in Elementary Mathematics.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"80\" src=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-1024x80.png\" alt=\"\" class=\"wp-image-898\" srcset=\"https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-1024x80.png 1024w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-300x24.png 300w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-768x60.png 768w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-1536x120.png 1536w, https:\/\/www.terc.edu\/mathequityforum\/wp-content\/uploads\/sites\/49\/2023\/09\/equity_divider1-2048x161.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Search for related blog posts<\/strong><\/p>\n\n\n<form data-sf-form-id='2252' data-is-rtl='0' data-maintain-state='' data-results-url='https:\/\/www.terc.edu\/mathequityforum\/?sfid=2252' data-ajax-url='https:\/\/www.terc.edu\/mathequityforum\/?sfid=2252&amp;sf_data=results' data-ajax-form-url='https:\/\/www.terc.edu\/mathequityforum\/?sfid=2252&amp;sf_action=/search.php' data-display-result-method='archive' data-use-history-api='1' data-template-loaded='0' data-lang-code='en' data-ajax='1' data-ajax-data-type='html' data-ajax-links-selector='.pagination a' data-ajax-target='#main' data-ajax-pagination-type='normal' data-update-ajax-url='1' data-only-results-ajax='1' data-scroll-to-pos='0' data-init-paged='1' data-auto-update='1' action='https:\/\/www.terc.edu\/mathequityforum\/?sfid=2252' method='post' class='searchandfilter' id='search-filter-form-2252' autocomplete='off' data-instance-count='1'><ul><li 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