tag:blogger.com,1999:blog-8938799432405750525.post7749279414326474719..comments2011-10-18T17:13:15.645-04:00Comments on Encouraging Problems in the Classroom: Brainstorming: Graph TranslationChrishttp://www.blogger.com/profile/09506027195685580723noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-8938799432405750525.post-88717877724326966882010-11-10T15:29:24.607-05:002010-11-10T15:29:24.607-05:00I'm appreciating the encouragement. I really n...I'm appreciating the encouragement. I really need to get myself pretty well scripted here, since I've managed to confuse several of my colleagues already. That doesn't bode too well. I'm not going to chicken out, though... I don't think I can really damage their understanding, here.Chrishttps://www.blogger.com/profile/09506027195685580723noreply@blogger.comtag:blogger.com,1999:blog-8938799432405750525.post-63821405919980619722010-11-10T12:30:06.933-05:002010-11-10T12:30:06.933-05:00I think it's a great idea. As a student (and a...I think it's a great idea. As a student (and a secondary ed math major), I definitely learn better through examples such as this one. My AP Calc teacher in high school taught us this way and brought a whole new level of understanding to the class. I say go for it. I don't really think the objects matter, but I would go with numbers or even something like shapes (circle, square, star, triangle, and whatnot). I also think that the whole class should participate so everyone gets an opportunity to be part of the example and yes, record it so not only can you share it with future students, but the current class can see what's going on, as well.Anonymoushttps://www.blogger.com/profile/08203031115922874080noreply@blogger.comtag:blogger.com,1999:blog-8938799432405750525.post-43575723947638288952010-11-09T23:25:52.461-05:002010-11-09T23:25:52.461-05:00This sounds cool - some kinesthetic learning too. ...This sounds cool - some kinesthetic learning too. Can you film it so other learners can view it later to see it. It can be tricky to see the overall picture when you are a part of a ribbon.<br />You need a set of axes - ones that you can shift for the point above. Maybe heavy rope, something like that. If not, use lines on a gym floor or an outside area with lines on it. If you do film it, post it on your blog so we can see how it went.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8938799432405750525.post-46022069395978542452010-11-09T21:30:43.225-05:002010-11-09T21:30:43.225-05:00Thanks, David... I didn't have the idea of the...Thanks, David... I didn't have the idea of the coordinate system moving, even for myself. Plus, any excuse to incorporate classic cinema into the classroom!Chrishttps://www.blogger.com/profile/09506027195685580723noreply@blogger.comtag:blogger.com,1999:blog-8938799432405750525.post-89057605148842272742010-11-09T21:20:05.685-05:002010-11-09T21:20:05.685-05:00The idea sounds interesting. I think it's wort...The idea sounds interesting. I think it's worth a shot. <br /><br />Here is how I understand the question. When x is replaced by x-2, we can say that the graph shifts two units to the right. But another point of view is that the graph stays in the same position, and the *coordinate system* moves two units to the left.<br /><br />There is a scene from the 1984 comedy movie "Top Secret!" that illustrates the concept. The protagonist is on a train that appears to be departing from the station. Then it is revealed that the train is not moving, but the *station* is moving backwards. http://www.youtube.com/watch?v=AgPFhLFSkaIDavidhttps://www.blogger.com/profile/09232747857608296294noreply@blogger.com