{"id":5360,"date":"2018-03-01T13:18:36","date_gmt":"2018-03-01T20:18:36","guid":{"rendered":"https:\/\/blogs.ubc.ca\/stem2018\/?p=5360"},"modified":"2018-03-01T13:20:51","modified_gmt":"2018-03-01T20:20:51","slug":"5360","status":"publish","type":"post","link":"https:\/\/blogs.ubc.ca\/stem2018\/2018\/03\/01\/5360\/","title":{"rendered":"T-GEM in the Intermediate Classroom"},"content":{"rendered":"<p>Having taught grades 4, 5 and 6 for the last six years, I have found that area and perimeter are concepts that we revisit each year. Year after year, the students\u2019 understanding of the topic varies widely. Some have an excellent grasp of the concepts and are ready for a challenge. Others really struggle with the topic and have trouble grasping what area is and how we calculate it. I find it difficult to have challenging and engaging activities ready for each of the students in my class that represent such a wide ability range. I have several sets of resources and different manipulatives that I try to reach each student with, but until today I wasn\u2019t sure of a way to include technology into teaching this topic. (A BIG thank you to those who have already posted on T-GEM, as I previously hadn\u2019t been aware of PhET \u2013 what a valuable, and free!, resource!) I\u2019ve sought to combine the<a href=\"https:\/\/phet.colorado.edu\/en\/simulation\/area-builder\"> PhET area builder simulation <\/a>with T-GEM to create a new way of teaching area and perimeter to intermediate students.<\/p>\n<p><strong>Generate: <\/strong><\/p>\n<p>Allow students to explore the area builder simulation on PhET under the <em>explore <\/em>section. Initially, have them create one shape, noticing the change in area and perimeter as they go along. Encourage the students to think about and try different shapes, for example, a line of 4 as opposed to a square of four. What do they notice?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-5361\" src=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10-300x189.png\" alt=\"\" width=\"300\" height=\"189\" srcset=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10-300x189.png 300w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10-768x484.png 768w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10-1024x646.png 1024w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10-620x391.png 620w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.47.10.png 2008w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Suggested teacher questions:<\/p>\n<ul>\n<li>Can you recognize any patterns when you add a square onto your shape?<\/li>\n<li>With the same number of squares, will the area always remain the same? Why or why not?<\/li>\n<li>With the same number of squares, will the perimeter always be the same? Why or why not?<\/li>\n<\/ul>\n<p>As students to generate a hypothesis \u2013 will the answers to these questions always be the same?<\/p>\n<p><strong>Evaluate: <\/strong><\/p>\n<p>Instruct students to try the side by side shapes on the PhET area builder. Ask them to test their hypothesis. The visual aid and ability to construct multiple shapes quickly should help them to deepen their understanding of area and perimeter. At this point students could work together, one using each side of the screen to see what they notice about the effect that increasing size or creating different shapes has on area and perimeter. Do they need to modify their original thoughts?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-5362\" src=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.54.03-300x180.png\" alt=\"\" width=\"300\" height=\"180\" srcset=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.54.03-300x180.png 300w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.54.03-768x461.png 768w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.54.03-1024x614.png 1024w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.54.03-620x372.png 620w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Modify:<\/strong><\/p>\n<p>Ask students to use the <em>game<\/em> feature of the PhET area builder simulation. One aspect I really like about this is the true levels of differentiation that can occur. For example, level one of the game is very basic. Level six, on the other hand, becomes quite complex and asks them to draw upon more of their mathematical skills. <em>(See examples below). <\/em>I am confident that this simulation could help to strengthen and modify each of my students\u2019 understanding of area and perimeter.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-5363\" src=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03-300x185.png\" alt=\"\" width=\"300\" height=\"185\" srcset=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03-300x185.png 300w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03-768x475.png 768w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03-1024x633.png 1024w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03-620x383.png 620w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.55.03.png 2036w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-5364\" src=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31-300x194.png\" alt=\"\" width=\"300\" height=\"194\" srcset=\"https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31-300x194.png 300w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31-768x496.png 768w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31-1024x661.png 1024w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31-620x400.png 620w, https:\/\/blogs.ubc.ca\/stem2018\/files\/2018\/03\/Screen-Shot-2018-03-01-at-19.57.31.png 1926w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>In her work on T-GEM and teaching with computer simulations, Samia Khan (2011) argues that, as educators, we need to provide opportunities for students to compare data. Further, Khan states that computer simulations visually draw attention to patterns and assess scope of relationships. I think that the PhET area builder simulation, used in the way that I have demonstrated, touches on all of these concepts. Additionally, this simulation can adapt to \u00a0the students own \u2018mental models\u2019 in a way that I cannot (Khan, 2007). I can\u2019t wait to try this out in my classroom now!<\/p>\n<p>&nbsp;<\/p>\n<p>References<\/p>\n<p>Khan, S. (2007). Model-based inquires in chemistry.\u00a0<em>Wiley InterScience, 91,\u00a0<\/em>877-905.<\/p>\n<p>Khan, S. (2011). New pedagogies on teaching science with computer simulations.\u00a0<em>Journal of Science Education and Technology, 20<\/em>(3),\u00a0215-232.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Having taught grades 4, 5 and 6 for the last six years, I have found that area and perimeter are concepts that we revisit each year. Year after year, the students\u2019 understanding of the topic varies widely. Some have an excellent grasp of the concepts and are ready for a challenge. Others really struggle with [&hellip;]<\/p>\n","protected":false},"author":52229,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1669392],"tags":[],"class_list":["post-5360","post","type-post","status-publish","format-standard","hentry","category-b-t-gem"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/posts\/5360","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/users\/52229"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/comments?post=5360"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/posts\/5360\/revisions"}],"predecessor-version":[{"id":5367,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/posts\/5360\/revisions\/5367"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/media?parent=5360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/categories?post=5360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/stem2018\/wp-json\/wp\/v2\/tags?post=5360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}