tag:blogger.com,1999:blog-1907702537884089718.post6444107977360654419..comments2023-10-07T09:26:02.868-07:00Comments on Exit 10A: The Standard Formerly Known As 4.2.3D.2.aJoe Schwartzhttp://www.blogger.com/profile/02304083254248927187noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-1907702537884089718.post-53208201361496807952016-05-09T16:59:22.788-07:002016-05-09T16:59:22.788-07:00Thanks Andrew. Sometimes I'm not sure about w...Thanks Andrew. Sometimes I'm not sure about whether or not to tweet out old blog posts, but I'm glad I did it with this one.Joe Schwartzhttps://www.blogger.com/profile/02304083254248927187noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-66047384097240006842016-05-09T14:27:39.080-07:002016-05-09T14:27:39.080-07:00Great post, Joe!
I'll be featuring this post i...Great post, Joe!<br />I'll be featuring this post in this week's Global Math Department newsletter!<br />Flashback!Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-82515116729882811322015-03-29T17:38:40.384-07:002015-03-29T17:38:40.384-07:00In my experience it's *hard* to get most stude...In my experience it's *hard* to get most students to consider area. THey tend to think in one dimension. SiouxGeonzhttps://www.blogger.com/profile/14852040976080951492noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-86953978688442000222015-03-29T17:32:23.981-07:002015-03-29T17:32:23.981-07:00Thanks for bringing this up; I think the length vs...Thanks for bringing this up; I think the length vs. area issue is important, and I did think about it. I meant to address it in the post but I forgot. I drew lines across the tops of the 1 inch squares to indicate length, but not on the 1/4 pieces. Ultimately, I decided the length/area risk was worth it, but never really tried matchstick-like objects or thin rectangles. The problem is that they are kind of hard to manipulate. But maybe a kid would only need to do it or see it a few times to get the idea. Joe Schwartzhttps://www.blogger.com/profile/02304083254248927187noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-21402538823061306882015-03-29T17:12:33.752-07:002015-03-29T17:12:33.752-07:00What a great idea. It may not be an issue, but is...What a great idea. It may not be an issue, but is there a way to ensure that the pieces of paper are associated with length and not area? Maybe matchstick like objects. Or, "thin" rectangle strips of paper? Anyway, great idea.Anonymoushttps://www.blogger.com/profile/16951223418671175516noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-41707404701365932782015-03-29T09:47:57.884-07:002015-03-29T09:47:57.884-07:00Thanks Graham. The progression of the fraction st...Thanks Graham. The progression of the fraction standards, especially from grades 2 to 3, is something we struggle with, and I agree that this would be well placed in grade 4. Anyway, I can always count on you to take a task and push it to another level. We'll give it a try!Joe Schwartzhttps://www.blogger.com/profile/02304083254248927187noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-45952962162944198942015-03-29T05:04:02.382-07:002015-03-29T05:04:02.382-07:00What a great way to reinforce students' unders...What a great way to reinforce students' understanding of a unit fraction Nice move Joe. To this day I'm still trying to figure out why this is not a MD standard in 4th grade. Seems like the context lends itself beautifully to the mixed fraction standards.<br />You have me intrigued. "What if we lined up the the pin, the key, and pencil in one straight line, how long would it be?" I'm really interested to see how students would tackle this question based on the conceptual understanding you've developed. Hmmm?Anonymoushttps://www.blogger.com/profile/08525114028095675402noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-86857506870207400772015-03-27T10:16:33.687-07:002015-03-27T10:16:33.687-07:00Thanks Alex!Thanks Alex!Joe Schwartzhttps://www.blogger.com/profile/02304083254248927187noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-1477659814422932832015-03-26T19:26:46.695-07:002015-03-26T19:26:46.695-07:00Joe, this is brilliant.Joe, this is brilliant.Alex Overwijkhttps://www.blogger.com/profile/14157244963335094945noreply@blogger.com