Math pedagogy-Are we giving kids credit for what they can do? - Classroom 2.02024-03-28T18:21:20Zhttps://www.classroom20.com/forum/topics/math-pedagogyare-we-giving?commentId=649749%3AComment%3A320541&feed=yes&xn_auth=noMaria, I'm sorry I haven't re…tag:www.classroom20.com,2010-07-14:649749:Comment:4885142010-07-14T19:21:26.554ZRoland O'Danielhttps://www.classroom20.com/profile/RolandODaniel
Maria, I'm sorry I haven't replied to this. I looked at the mindmap and find it interesting. I'm not sure i have anything to add to it, but find it interesting that statistical/regression modeling doesn't have it's own category/line. I know it falls into the different patterns/representations, but wonder if there isn't something different enough to include it as a separate item.<br />
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I have a question for you, with the new CCSSO mathematics standards creating separate topics for modeling and…
Maria, I'm sorry I haven't replied to this. I looked at the mindmap and find it interesting. I'm not sure i have anything to add to it, but find it interesting that statistical/regression modeling doesn't have it's own category/line. I know it falls into the different patterns/representations, but wonder if there isn't something different enough to include it as a separate item.<br />
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I have a question for you, with the new CCSSO mathematics standards creating separate topics for modeling and functions, is this going to have any impact on what you do with natural math? I see it as such a great connection to what you do that I would love to hear your thoughts on the new standards.<br />
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Thanks for all you do! I added a couple of ideas bas…tag:www.classroom20.com,2010-07-14:649749:Comment:4883982010-07-14T16:18:12.122ZLinda Uselmannhttps://www.classroom20.com/profile/LindaUselmann
I added a couple of ideas based on the work of Carpenter and others at UW-Madison.
I added a couple of ideas based on the work of Carpenter and others at UW-Madison. Thank you for the great overv…tag:www.classroom20.com,2009-04-05:649749:Comment:3216932009-04-05T21:58:20.346ZMariaDhttps://www.classroom20.com/profile/MariaD
Thank you for the great overview-in-context, Tammy. I will drop you a line when we have something interesting happen with Cmaps. You have great ideas!
Thank you for the great overview-in-context, Tammy. I will drop you a line when we have something interesting happen with Cmaps. You have great ideas! Cmaps can do images within th…tag:www.classroom20.com,2009-04-05:649749:Comment:3216332009-04-05T19:30:53.099ZTammy Moorehttps://www.classroom20.com/profile/armoorefam
Cmaps can do images within the nodes or in backgrounds. The math Cmaps don't have much need for images, so you probably didn't stumble across any with them in it.<br />
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Take a look at <a href="http://cmapspublic2.ihmc.us/servlet/SBReadResourceServlet?rid=1210771129336_231876133_30454&partName=actualhtmltext">THIS</a> collaborative Cmap for our online biology class. You can use the nodes at the bottom of the screen to view many maps that my kids have made individually, as a family, and in our…
Cmaps can do images within the nodes or in backgrounds. The math Cmaps don't have much need for images, so you probably didn't stumble across any with them in it.<br />
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Take a look at <a href="http://cmapspublic2.ihmc.us/servlet/SBReadResourceServlet?rid=1210771129336_231876133_30454&partName=actualhtmltext">THIS</a> collaborative Cmap for our online biology class. You can use the nodes at the bottom of the screen to view many maps that my kids have made individually, as a family, and in our online classes from many subject areas. Feel free to wander through.<br />
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Yes, Cmaps can be made collaboratively. You merely set the folder permissions with the usernames of the students that may edit on that map. If two are signed in simultaneously, Cmap automatically opens up a text chat window. Students working at different times on the same map have many other tools as well such as notes (it looks like a yellow sticky note on the page) and you can connect the map up to a larger forum tool.<br />
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Besides collaboration, another option is to plant a seed map with some basics and have them access that seed map to make their own changes to. As soon as they make a change they are flagged that they do not have permission to alter the original map but that they can makes changes to create their own based on the original map. You can give them nodes, for instance, and ask them to provide linking terms to show that they understand inter-linking relationships. I wanted to know if your son…tag:www.classroom20.com,2009-04-05:649749:Comment:3215892009-04-05T18:31:29.875ZMariaDhttps://www.classroom20.com/profile/MariaD
I wanted to know if your son only did the map by himself, or if it was a part of some bigger project. It looks like you have a wealth of experience using maps with many classes and people. Thank you for sharing.<br />
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Hosting on a server seems great. I would like to see a tool that inserts pictures into maps, and also allows online sharing and collaborative maps (wikimaps). MindMeister does the sharing part, but I don't like their "tree-only" structure not allowing loops.
I wanted to know if your son only did the map by himself, or if it was a part of some bigger project. It looks like you have a wealth of experience using maps with many classes and people. Thank you for sharing.<br />
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Hosting on a server seems great. I would like to see a tool that inserts pictures into maps, and also allows online sharing and collaborative maps (wikimaps). MindMeister does the sharing part, but I don't like their "tree-only" structure not allowing loops. Cmap is a software I would hi…tag:www.classroom20.com,2009-04-05:649749:Comment:3215812009-04-05T18:24:26.090ZTammy Moorehttps://www.classroom20.com/profile/armoorefam
Cmap is a software I would highly recommend. It is free and has either a server version which your school can set up so the kids can post their public maps school-wide or individual computer version which can be set up to keep the maps merely on that computer or the kids can post it to one of the free university sponsored Cmap public servers which would make their maps available to them beyond high school. We opted for the university public server because I want my kids to see their maps as a…
Cmap is a software I would highly recommend. It is free and has either a server version which your school can set up so the kids can post their public maps school-wide or individual computer version which can be set up to keep the maps merely on that computer or the kids can post it to one of the free university sponsored Cmap public servers which would make their maps available to them beyond high school. We opted for the university public server because I want my kids to see their maps as a part of life-long learning. They can continue to add to them for as long as they live (or the software/server disappears).<br />
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Why did he use concepts maps? I guess it is just a natural extension of the way we do things. For instance, instead of studying biology from one text, filling in the blanks for practice, and taking an exam, we have been e-notebooking for years. The kids research and build their own notebooks (a cross between a scrapbook, web-page, and portfolio) that shows what they learned and did. Concept maps were something I required them to create the maps and place a link to the appropriate portion in their e-notebooks to show how their studies fit into the big picture and how their studies narrow down to fine detail. Learners often get lost in an ocean of disconnected parts. I wanted to emphasis that the fit was as important as the pieces. I have found that when they take the time to learn as much about the fit as they do about the piece, they do a much better job of retaining the information. I think the math e-notebooking and concept mapping has done a lot of good for him. He scored in the 96th percentile on the last standardized math test that he took. Tammy, these are incredibly c…tag:www.classroom20.com,2009-04-05:649749:Comment:3215652009-04-05T17:57:02.659ZMariaDhttps://www.classroom20.com/profile/MariaD
Tammy, these are incredibly cool maps. I think I am going to start using ongoing concept maps with my long-time students. Thank you very much for sharing. Why did you son decide to work with concept maps like this?<br />
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I use "the rule of three" all the time and I did not know it was "the Harvard rule of three." My version is a bit different, though:<br />
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<i>Whenever you use a concept, you need at least three examples and at least three representations.</i><br />
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So, if we are doing a positional number…
Tammy, these are incredibly cool maps. I think I am going to start using ongoing concept maps with my long-time students. Thank you very much for sharing. Why did you son decide to work with concept maps like this?<br />
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I use "the rule of three" all the time and I did not know it was "the Harvard rule of three." My version is a bit different, though:<br />
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<i>Whenever you use a concept, you need at least three examples and at least three representations.</i><br />
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So, if we are doing a positional number system, we look at three bases at least (I like binary, base three and base ten). Bonus points for qualitative examples, when possible - say, "love is not a commutative relationship." This goes well with another principle - students creating instances of every entity we work with... One thing I've found in our d…tag:www.classroom20.com,2009-04-05:649749:Comment:3212322009-04-05T01:49:09.589ZNancy Boschhttps://www.classroom20.com/profile/nbosch
One thing I've found in our district, the focus since NCLB has been a 'one size fits all' curriculum with focus on struggling learners making progress on high stakes tests. I do think ALL learners have the right to learn something new everyday. With state testing over for the year, last quarter becomes a time to teach science, social studies, read for pleasure, go on fieldtrips. There seems to be no time for creativity in the general ed general ed classroom.
One thing I've found in our district, the focus since NCLB has been a 'one size fits all' curriculum with focus on struggling learners making progress on high stakes tests. I do think ALL learners have the right to learn something new everyday. With state testing over for the year, last quarter becomes a time to teach science, social studies, read for pleasure, go on fieldtrips. There seems to be no time for creativity in the general ed general ed classroom. "to tape into their creative…tag:www.classroom20.com,2009-04-05:649749:Comment:3212252009-04-05T01:37:55.717ZKate Fanellihttps://www.classroom20.com/profile/KateFanelli
"to tape into their creative energy and steer it towards what we want them to learn."<br />
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Yes, if I could do that I would be so happy. And the kids would be so happy.<br />
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Do you have any techniques for doing this that you've found works?<br />
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I think the key point in what you've written is that this should be our jobs. Sometimes it seems like our job descriptions are pretty basic, but you are absolutely right. It is our job to do the best we can for our students.
"to tape into their creative energy and steer it towards what we want them to learn."<br />
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Yes, if I could do that I would be so happy. And the kids would be so happy.<br />
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Do you have any techniques for doing this that you've found works?<br />
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I think the key point in what you've written is that this should be our jobs. Sometimes it seems like our job descriptions are pretty basic, but you are absolutely right. It is our job to do the best we can for our students. Cameron, well said.tag:www.classroom20.com,2009-04-04:649749:Comment:3211572009-04-04T22:39:58.447ZNancy Boschhttps://www.classroom20.com/profile/nbosch
Cameron, well said.
Cameron, well said.