{"id":68388,"date":"2023-06-01T01:01:53","date_gmt":"2023-06-01T05:01:53","guid":{"rendered":"https:\/\/world.edu\/?p=68388"},"modified":"2023-06-01T01:01:53","modified_gmt":"2023-06-01T05:01:53","slug":"from-whiteboard-work-to-random-groups-these-simple-fixes-could-get-students-thinking-more-in-maths-lessons","status":"publish","type":"post","link":"https:\/\/world.edu\/from-whiteboard-work-to-random-groups-these-simple-fixes-could-get-students-thinking-more-in-maths-lessons\/","title":{"rendered":"From whiteboard work to random groups, these simple fixes could get students thinking more in maths lessons"},"content":{"rendered":"<p><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/world.edu\/wp-content\/uploads\/2023\/05\/mathonwhiteboard.jpg\" alt=\"\" width=\"680\" height=\"453\" class=\"aligncenter size-full wp-image-68389\" srcset=\"https:\/\/world.edu\/wp-content\/uploads\/2023\/05\/mathonwhiteboard.jpg 680w, https:\/\/world.edu\/wp-content\/uploads\/2023\/05\/mathonwhiteboard-250x167.jpg 250w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><br \/>\nAustralian students\u2019 performance and engagement in mathematics is an ongoing issue.<\/p>\n<p>International studies show Australian students\u2019 mean performance in\u00a0<a href=\"https:\/\/www.oecd.org\/pisa\/publications\/pisa-2018-results.htm\">maths<\/a>\u00a0has steadily declined since 2003. The latest\u00a0<a href=\"https:\/\/www.oecd.org\/pisa\/publications\/pisa-2018-results.htm\">Program for International Student Assessment<\/a>\u00a0(PISA) in 2018 showed only 10% of Australian teenagers scored in the top two levels, compared to 44% in China and 37% in Singapore.<\/p>\n<p>Despite attempts to reform how we\u00a0<a href=\"https:\/\/www.theguardian.com\/australia-news\/2022\/feb\/13\/cracking-the-formula-how-should-australia-be-teaching-maths-under-the-national-curriculum\">teach maths<\/a>, it is unlikely students\u2019 performance will improve if they are not engaging with their lessons.<\/p>\n<p>What teachers, parents, and policymakers may not be aware of is\u00a0<a href=\"https:\/\/www.peterliljedahl.com\/wp-content\/uploads\/PME-NA-2013-Studenting.pdf\">research shows<\/a>\u00a0students are using \u201cnon-thinking behaviours\u201d to avoid engaging with maths.<\/p>\n<p>That is, when your child says they didn\u2019t do anything in maths today, our research shows they\u2019re probably right.<\/p>\n<h4><strong>What are non-thinking behaviours?<\/strong><\/h4>\n<p>There are four main non-thinking behaviours. These are:<\/p>\n<ul>\n<li><strong>slacking<\/strong>: where there is no attempt at a task. The student may talk or do nothing<\/li>\n<li><strong>stalling<\/strong>: where there is no real attempt at a task. This may involve legitimate off-task behaviours, such as sharpening a pencil<\/li>\n<li><strong>faking<\/strong>: where a student pretends to do a task, but achieves nothing. This may involve legitimate on-task behaviours such as drawing pictures or writing numbers<\/li>\n<li><strong>mimicking<\/strong>: this includes attempts to complete a task and can often involve completing it. It involves referring to others or previous examples.<\/li>\n<\/ul>\n<p>Peter Liljedahl studied\u00a0<a href=\"https:\/\/peterliljedahl.com\/wp-content\/uploads\/Building-Thinking-Classrooms-for-teachers.pdf\">Canadian maths lessons<\/a>\u00a0in all years of school, over 15 years. This research found up to 80% of students exhibit non-thinking behaviours for 100% of the time in a typical hour-long lesson.<\/p>\n<p>The most common behaviour was mimicking (53%), reflecting a trend of the teacher doing all the thinking, rather than the students.<\/p>\n<p>It also found when students were given \u201cnow you try one\u201d tasks (a teacher demonstrates something, then asks students to try it), the majority of students engaged in non-thinking behaviours.<\/p>\n<h4><strong>Australian students are \u2018non-thinking\u2019 too<\/strong><\/h4>\n<p>Tracey Muir conducted a smaller-scale study in 2021 with a Year \u00be class.<\/p>\n<p>Some 63% of students were observed engaged in non-thinking behaviours, with slacking and stalling (54%) being the most common. These behaviours included rubbing out, sharpening pencils, and playing with counters, and were especially prevalent in unsupervised small groups.<\/p>\n<p>One explanation for students slacking and stalling is teachers are doing most of the talking and directing, and not providing enough opportunities for students to think.<\/p>\n<p>How can we build \u201cthinking\u201d maths classrooms and reduce the prevalence of non-thinking behaviours?<\/p>\n<p>Here are two research-based ideas.<\/p>\n<h4><strong>Form random groups<\/strong><\/h4>\n<p>Often students are placed in groups to work through new skills or lessons. Sometimes these are arranged by the teacher or by the students themselves.<\/p>\n<p>Students know why they have been placed in groups with certain individuals (even if this is not explicitly stated). Here they tend to \u201clive down\u201d to expectations.<br \/>\nIf they are with their friends they also tend to distract each other.<\/p>\n<p>Our studies found random groupings improved students\u2019 willingness to collaborate, reduced social stress often caused by self-selecting groups, and increased enthusiasm for mathematics learning.<\/p>\n<p>As one student told us:<br \/>\n<em>I\u2019m starting to like maths now, and working with random people is better for me so I don\u2019t get off track.<\/em><\/p>\n<h4><strong>Get kids to stand up<\/strong><\/h4>\n<p>Classroom learning is often done at desks or sitting on the floor. This encourages passive behaviour and we know from physiology that\u00a0<a href=\"https:\/\/www.health.harvard.edu\/blog\/the-truth-behind-standing-desks-2016092310264\">standing is better than sitting<\/a><\/p>\n<p>But we found groups of about three students standing together and working on a whiteboard can promote thinking behaviours. Just the physical act of standing can eliminate slacking, stalling, and faking behaviours. As one student said:<br \/>\n<em>standing helps me concentrate more because if I\u2019m sitting down I\u2019m just fiddling with stuff, but if I\u2019m standing up, the only thing you can do is write and do maths.<\/em><br \/>\nThe additional strategy of only allowing the student with the pen to record others\u2019 thinking and not their own, has shown to be especially beneficial. As one teacher told us:<br \/>\n<em>the people that don\u2019t have the pen have to do the thinking [\u2026] so it\u2019s a real group effort and they don\u2019t have the ability to slack off as much.<\/em><\/p>\n<h2>Simple changes can work<\/h2>\n<p>While our studies were conducted in maths classrooms, our strategies would be transferable to other discipline areas.<\/p>\n<p>So, while parents and educators may feel concerned about Australia\u2019s declining maths results, by introducing simple changes to the classroom, we can ensure students are not only learning and thinking deeply about mathematics, but hopefully, enjoying it, too.<\/p>\n<p><em><strong>Author Bios: <\/strong>Tracey Muir is a Professor in Education (STEM) at the Australian Catholic University and Peter Liljedahl is a Professor at Simon Fraser University<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Australian students\u2019 performance and engagement in mathematics is an ongoing issue. International studies show Australian students\u2019 mean performance in\u00a0maths\u00a0has steadily declined since 2003. The latest\u00a0Program for International Student Assessment\u00a0(PISA) in 2018 showed only 10% of Australian teenagers scored in the top two levels, compared to 44% in China and 37% in Singapore. Despite attempts to [&hellip;]\n&hellip; <a href=\"https:\/\/world.edu\/from-whiteboard-work-to-random-groups-these-simple-fixes-could-get-students-thinking-more-in-maths-lessons\/\" class=\"more\">learn more&rarr;<\/a><\/p>","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[15645],"tags":[4528],"coauthors":[11733],"class_list":["post-68388","post","type-post","status-publish","format-standard","hentry","category-education","tag-math"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>From whiteboard work to random groups, these simple fixes could get students thinking more in maths lessons - World leading higher education information and services<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/world.edu\/from-whiteboard-work-to-random-groups-these-simple-fixes-could-get-students-thinking-more-in-maths-lessons\/\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:locale\" content=\"en_US\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:type\" content=\"article\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:title\" content=\"From whiteboard work to random groups, these simple fixes could get students thinking more in maths lessons - World leading higher education information and services\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:description\" content=\"Australian students\u2019 performance and engagement in mathematics is an ongoing issue. International studies show Australian students\u2019 mean performance in\u00a0maths\u00a0has steadily declined since 2003. The latest\u00a0Program for International Student Assessment\u00a0(PISA) in 2018 showed only 10% of Australian teenagers scored in the top two levels, compared to 44% in China and 37% in Singapore. 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