tag:blogger.com,1999:blog-7691251033406320222.post1267387898780172400..comments2024-03-26T04:19:38.862-07:00Comments on kitchen table math, the sequel: an hour a dayCatherine Johnsonhttp://www.blogger.com/profile/03347093496361370174noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-7691251033406320222.post-12510315285692667902007-03-04T07:36:00.000-08:002007-03-04T07:36:00.000-08:00My experience of direct instruction, small caps, j...My experience of direct instruction, small caps, jibes with Tracy's observation: the goal is to give you everything you need to take the next step.<BR/><BR/>"baby steps"<BR/><BR/>We've got different variables here: expertise versus "learning the basics."<BR/><BR/>Ericsson is talking about people at the very top of their fields - or people who are trying to get there.<BR/><BR/>As I'm learning math, I'm not attempting to reach the top of any mathematical field. I'm trying to become proficient in high school algebra and geometry. <BR/><BR/>Once I become proficient in high school geometry & algebra I'll work my way through Saxon's physics & calculus texts.<BR/><BR/>At some point I'm going to need a teacher and a class, but until then I can teach myself using the Saxon books because Saxon has broken the material down into very small, logical component parts which he teaches incrementally with lots of distributed practice.Catherine Johnsonhttps://www.blogger.com/profile/03347093496361370174noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-53496974547233121302007-03-04T07:12:00.000-08:002007-03-04T07:12:00.000-08:00"Hmmm - this contradicts with the DI method, which..."Hmmm - this contradicts with the DI method, which is that kids should be presented with everything necessary to make the next connections."<BR/><BR/>It's modified DI. You try prompts to facilitate the connection but ultimately you don't leave them dangling if they don't get it. Then you tell them. Alternatively, you model first (tell all), then apply the Socratic method to reinforce. It's a flexible approach geared to the needs of each case.Instructivisthttps://www.blogger.com/profile/01652458042291988959noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-87037307135184027622007-03-04T01:58:00.000-08:002007-03-04T01:58:00.000-08:00If the teacher tells the student (who may not be p...<I>If the teacher tells the student (who may not be paying attention as is most often the case) everything without allowing for creative tension and some student struggle...</I><BR/><BR/>Hmmm - this contradicts with the DI method, which is that kids should be presented with everything necessary to make the next connections. <BR/><BR/>(Of course there is a lower level, where you only tell a student things they already know perfectly well, which is a waste of time).Tracy Whttps://www.blogger.com/profile/08999246551652981965noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-21121689515242876872007-03-03T19:18:00.000-08:002007-03-03T19:18:00.000-08:00Talk about having your brain hurt. She said that's...<I>Talk about having your brain hurt. She said that's when you know you're practicing correctly.</I><BR/><BR/>That's fascinating.<BR/><BR/>I realize that I have no idea what "deliberate practice" is.<BR/><BR/>One hour a day??<BR/><BR/>Jimmy Connors??<BR/><BR/>Amazing.Catherine Johnsonhttps://www.blogger.com/profile/03347093496361370174noreply@blogger.comtag:blogger.com,1999:blog-7691251033406320222.post-2087451206219219862007-03-03T19:05:00.000-08:002007-03-03T19:05:00.000-08:00“It feels like you’re constantly stretching yourse...“It feels like you’re constantly stretching yourself into an uncomfortable area beyond what you can quite do,” <BR/><BR/>My son's summer piano teacher liked to have him learn new pieces very slowly, using both hands and getting all of the fingering, dynamics, and articulation correct starting from the first time he played the piece. Talk about having your brain hurt. She said that's when you know you're practicing correctly.SteveHhttps://www.blogger.com/profile/03956560674752399562noreply@blogger.com