tag:blogger.com,1999:blog-8748665016211866969.post6354621880048865178..comments2022-11-19T20:58:11.158-08:00Comments on Coffee and Graph Paper: Learning linearity from scratchH.http://www.blogger.com/profile/00155248585975222332noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-8748665016211866969.post-58806042991994119862008-11-04T05:33:00.000-08:002008-11-04T05:33:00.000-08:00Despite having read this last year, I was still su...Despite having read this last year, I was still surprised when my Algebra students had difficulty with number lines yesterday. <BR/><BR/>The frustration with Algebra 2 was that because this was the first time we'd drawn our own axes and the first time we'd scaled the axes for the coordinate plane I'd freehanded my version on the board. It still took 10 minutes for some students to draw and label theirs. I think I need to work on classroom expectations, but it was a good reminder that there's so much I expect students to already know.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8748665016211866969.post-16691003957184119622007-10-25T16:57:00.000-07:002007-10-25T16:57:00.000-07:00Reading math teacher blogs really has been one of ...Reading math teacher blogs really has been one of the most helpful things. I'm wondering, though, whether there isn't some nice handy compilation of standard misconceptions in Algebra that can help hurry up the process? Physics Education has generated, like, <I>libraries</I> of expected areas of confusion for each Physics topic, with quite detailed descriptions of typical misunderstandings. It would seem likely there'd be something of the kind for Math too, but my coursework was in Physics Education rather than in Math Ed, and I just don't know the relevant literature.H.https://www.blogger.com/profile/00155248585975222332noreply@blogger.comtag:blogger.com,1999:blog-8748665016211866969.post-48074781267829580512007-10-21T06:09:00.000-07:002007-10-21T06:09:00.000-07:00The more of these little details you are aware of,...The more of these little details you are aware of, the more you can 'cover' them with throw-away comments or quick exercises. They serve as a reminder for kids who knew them and forgot, and even a 30-second riff on the number line can be informative for those who never formally encountered it.<BR/><BR/>All of this, of course, presupposes that you know where the gaps are likely to be. That, unfortunately, is gained mostly through experience. (but listening to other teachers and reading this blog-stuff can really help).Anonymousnoreply@blogger.com