{"id":68,"date":"2019-12-05T00:44:51","date_gmt":"2019-12-05T00:44:51","guid":{"rendered":"https:\/\/cohort21.com\/estherlee\/?p=68"},"modified":"2019-12-05T01:00:09","modified_gmt":"2019-12-05T01:00:09","slug":"re-thinking-how-i-teach-math-part-1-the-question-the-rationale-and-student-opinion","status":"publish","type":"post","link":"https:\/\/cohort21.com\/estherlee\/2019\/12\/05\/re-thinking-how-i-teach-math-part-1-the-question-the-rationale-and-student-opinion\/","title":{"rendered":"Re-thinking How I Teach Math. Part 1: The question, the rationale and student opinion."},"content":{"rendered":"<p><span style=\"font-weight: 400;\">In part 1, I will focus on the student side and changes that have been occurring in my own practice. In part 2, I will focus on data and conclusions collected from math teachers at Crestwood Preparatory College and discuss what I think this means for the department as a whole.<\/span><\/p>\n<h3><b>I\u2019m going to cut to the chase and pose THE Question:<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">How might we build capacity in math teachers to:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">determine the best balance between PBL\/inquiry vs. content?\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">implement it in meaningful and effective ways?<\/span><\/li>\n<\/ol>\n<h3><b>The Rationale<\/b><\/h3>\n<p><a href=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/f184017e-9648-46e1-8e67-3740df9ed7ba-9ad4b24e-01ab-4358-a9b8-0dc3cd8f8398-v1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-77 alignleft\" src=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/f184017e-9648-46e1-8e67-3740df9ed7ba-9ad4b24e-01ab-4358-a9b8-0dc3cd8f8398-v1-300x300.png\" alt=\"\" width=\"269\" height=\"269\" srcset=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/f184017e-9648-46e1-8e67-3740df9ed7ba-9ad4b24e-01ab-4358-a9b8-0dc3cd8f8398-v1-300x300.png 300w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/f184017e-9648-46e1-8e67-3740df9ed7ba-9ad4b24e-01ab-4358-a9b8-0dc3cd8f8398-v1-150x150.png 150w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/f184017e-9648-46e1-8e67-3740df9ed7ba-9ad4b24e-01ab-4358-a9b8-0dc3cd8f8398-v1.png 398w\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">If I\u2019ve spoken to you about my journey before, then you already know I went on a bit of a research kick after attending <\/span>Michael Moore&#8217;s (<a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/mmoore\/' rel='nofollow'>@mmoore<\/a>)<span style=\"font-weight: 400;\"> PD last year on observations and conversations. During that session, I had some of the most influential discussion to date on what math teaching needs to look like right now&#8211;that is, problem-based, inquiry-focused and student-centered. There were several teachers who were implementing what I now believe are elements of best practice in their own classrooms. I followed that up with a great discussion with <\/span>Lisa Dickinson (<span class=\"atwho-inserted\" contenteditable=\"false\" data-atwho-at-query=\"@ld\"><a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/ldickinson\/' rel='nofollow'>@ldickinson<\/a><\/span><span style=\"font-weight: 400;\">) on how she implements problem-based learning (PBL) at RSG. It was from her that I looked into Carmel Schettino and that, in turn, led to me an incredible wealth of information and resources (<\/span><a href=\"https:\/\/www.carmelschettino.org\/\"><span style=\"font-weight: 400;\">https:\/\/www.carmelschettino.org\/<\/span><\/a><span style=\"font-weight: 400;\">).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So, the question wasn\u2019t <\/span><i><span style=\"font-weight: 400;\">if<\/span><\/i><span style=\"font-weight: 400;\"> PBL and inquiry learning were important and necessary elements of teaching math today. The question was, how on earth do I do this effectively? And how do I help others start doing this effectively? On top of that, I wanted more opportunities for students to collaborate&#8211;formally and informally. So, a second major question at the time was how to infuse collaborative learning so that it became a seamless and natural part of math learning.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Subsequent information collected from conversations with other teachers (thank you <\/span>Jenn Gravel<span style=\"font-weight: 400;\"> <span class=\"atwho-inserted\" contenteditable=\"false\" data-atwho-at-query=\"@jgrave\"><a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/jgravel\/' rel='nofollow'>@jgravel<\/a><\/span> l for sharing your ideas and successes in using whiteboards in the classroom) and from additional research indicated there was a real impact of having students work at whiteboards. Peter Liljedahl found it\u2019s easy to implement, effects are felt immediately, there is long-term buy-in and grade level doesn\u2019t seem to affect this retention. See his paper <\/span><i><span style=\"font-weight: 400;\">Building Thinking Classrooms<\/span><\/i><span style=\"font-weight: 400;\"> here: <\/span><a href=\"http:\/\/peterliljedahl.com\/wp-content\/uploads\/Building-Thinking-Classrooms-Feb-14-20151.pdf\"><span style=\"font-weight: 400;\">http:\/\/peterliljedahl.com\/wp-content\/uploads\/Building-Thinking-Classrooms-Feb-14-20151.pdf<\/span><\/a><\/p>\n<p><span style=\"font-weight: 400;\">So, last summer, we got all the math classrooms retrofitted with more whiteboards. Whiteboards for you! Whiteboards for you! Whiteboards for youu!!!! It was my Oprah moment.<\/span><\/p>\n<h3><b>Data and Conclusions Drawn from Student Interviews<\/b><\/h3>\n<h4><strong><span style=\"text-decoration: underline;\">On Collaboration:<\/span><\/strong><\/h4>\n<p><a href=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/Collaboration-Responses-Word-Cloud-e1575507232631.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-85\" src=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/Collaboration-Responses-Word-Cloud-300x188.png\" alt=\"\" width=\"835\" height=\"523\" \/><\/a><\/p>\n<p>The 6 students I interviewed all commented positively with regards to collaborative work and whiteboards. They all:<\/p>\n<p><span style=\"font-weight: 400;\">-enjoyed working in groups to discuss solutions and assist one another<br \/>\n<\/span><span style=\"font-weight: 400;\">-preferred working out challenging problems together at the whiteboards, rather than at desks<br \/>\n<\/span><span style=\"font-weight: 400;\">-felt it was a good change from lectures or independent work<br \/>\n<\/span><span style=\"font-weight: 400;\">-expressed wanting more group-focused whiteboard activities in a variety of capacities (problem-solving, review, homework take-up, during lessons)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">YESSSS!!!!! I knew what the research said, but I honestly didn\u2019t anticipate it would have such a positive effect on every student I talked to. I was VERY excited by this.\u00a0<\/span><\/p>\n<p><strong><span style=\"text-decoration: underline;\">On Problem-Solving:<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/PBL-Inquiry-WordCloud.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-71\" src=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/PBL-Inquiry-WordCloud-300x188.png\" alt=\"\" width=\"875\" height=\"548\" srcset=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/PBL-Inquiry-WordCloud-300x188.png 300w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/PBL-Inquiry-WordCloud-768x480.png 768w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/PBL-Inquiry-WordCloud.png 960w\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Student comments here were less clear. The majority of interviewees couldn\u2019t recall experiences where they really enjoyed problem-solving in math class. A few linked it back to collaborative problem-solving that they\u2019ve done at the whiteboards (which was really good to hear). However, this general lack of knowing, pointed to a gaping hole in my math teaching. Students don\u2019t have favourite experiences related to problem-solving because they haven\u2019t done it, or they didn\u2019t realize they were doing it (that messaging then is on me), or did and it was \u201cMEH.\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So. There is a lot of work to be done here. But, also TONS of possibilities!!<\/span><\/p>\n<h3><b>Action Plan Outcomes and To do\u2019s<\/b><span style=\"font-weight: 400;\">:<\/span><\/h3>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Continue the course with regular whiteboard use as a means for collaboration and PBL\/inquiry-learning.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Take PBL in my grade 12 data management class to the next level. The plan is to have students pose a big question or take on a large problem that will guide all their learning in the second term (collecting, organizing data, one- and two-variable stats, perhaps even throw an interview with an expert in the mix). I\u2019ll use the gold standard PBL wheel by PBLworks to guide me (<\/span><a href=\"https:\/\/www.pblworks.org\/what-is-pbl\"><span style=\"font-weight: 400;\">https:\/\/www.pblworks.org\/what-is-pbl<\/span><\/a><span style=\"font-weight: 400;\">)<\/span><b>. <\/b><span style=\"font-weight: 400;\">I have <\/span>Robert Porteus <span class=\"atwho-inserted\" contenteditable=\"false\" data-atwho-at-query=\"@rpo\"><a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/rporteous\/' rel='nofollow'>@rporteous<\/a><\/span>, Holly Jepson-Fekete <span class=\"atwho-inserted\" contenteditable=\"false\" data-atwho-at-query=\"@hje\"><a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/hjepson\/' rel='nofollow'>@hjepson<\/a><\/span>, <span style=\"font-weight: 400;\">and <\/span>Anthony Chuter <span class=\"atwho-inserted\" contenteditable=\"false\" data-atwho-at-query=\"@ach\"><a class='bp-suggestions-mention' href='https:\/\/cohort21.com\/members\/achuter\/' rel='nofollow'>@achuter<\/a><\/span><span style=\"font-weight: 400;\"> to thank for their guidance and encouragement in taking on this risk (I\u2019m a paralysis by analysis person, you see).<br \/>\n<a href=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-75\" src=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326-234x300.png\" alt=\"\" width=\"328\" height=\"421\" srcset=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326-234x300.png 234w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326-798x1024.png 798w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326-768x986.png 768w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326-1197x1536.png 1197w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_design_0326.png 1200w\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" \/><\/a> <a href=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-76\" src=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326-234x300.png\" alt=\"\" width=\"329\" height=\"422\" srcset=\"https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326-234x300.png 234w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326-798x1024.png 798w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326-768x986.png 768w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326-1197x1536.png 1197w, https:\/\/cohort21.com\/estherlee\/files\/2019\/12\/gold_standard_teaching_0326.png 1200w\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" \/><\/a><\/span><\/li>\n<li style=\"font-weight: 400;\">Continue tracking student opinion and insights along the way.<\/li>\n<\/ol>\n<h3><b>Final Thoughts<\/b><\/h3>\n<p><b><\/b><span style=\"font-weight: 400;\">I kind of feel like I may have bitten off more than I can chew? This is definitely going to be a long journey, one that far outlasts the year. I need to be okay with the idea that not everything will be perfect. I also need to practice what I preach and embrace the failure as much as the success! But, despite the low key dread, I&#8217;m really excited about how my practice has already changed and how it will change in the future.\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In part 1, I will focus on the student side and changes that have been occurring in my own practice. In part 2, I will focus on data and conclusions collected from math teachers at Crestwood Preparatory College and discuss what I think this means for the department as a whole. I\u2019m going to cut &hellip; <a href=\"https:\/\/cohort21.com\/estherlee\/2019\/12\/05\/re-thinking-how-i-teach-math-part-1-the-question-the-rationale-and-student-opinion\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Re-thinking How I Teach Math. Part 1: The question, the rationale and student opinion.&#8221;<\/span><\/a><\/p>\n","protected":false},"author":291,"featured_media":77,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"wds_primary_category":0,"footnotes":""},"categories":[4],"tags":[],"class_list":["post-68","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-face-2-face-sessions"],"_links":{"self":[{"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/posts\/68","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/users\/291"}],"replies":[{"embeddable":true,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/comments?post=68"}],"version-history":[{"count":21,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/posts\/68\/revisions"}],"predecessor-version":[{"id":101,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/posts\/68\/revisions\/101"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/media\/77"}],"wp:attachment":[{"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/media?parent=68"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/categories?post=68"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cohort21.com\/estherlee\/wp-json\/wp\/v2\/tags?post=68"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}