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<channel>
	<title>Casting Out Nines</title>
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	<link>http://castingoutnines.wordpress.com</link>
	<description>education &#124; teaching &#124; math &#124; technology</description>
	<pubDate>Fri, 16 May 2008 23:22:37 +0000</pubDate>
	<generator>http://wordpress.org/?v=MU</generator>
	<language>en</language>
			<item>
		<title>An Ubuntu Linux question</title>
		<link>http://castingoutnines.wordpress.com/2008/05/16/an-ubuntu-linux-question/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/16/an-ubuntu-linux-question/#comments</comments>
		<pubDate>Fri, 16 May 2008 20:08:03 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Linux]]></category>

		<category><![CDATA[Technology]]></category>

		<category><![CDATA[operating systems]]></category>

		<category><![CDATA[ubuntu]]></category>

		<category><![CDATA[winxp]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1209</guid>
		<description><![CDATA[Question for the Linux people in the audience: I have a PC at home (don&#8217;t know the exact hardware stats offhand) that&#8217;s running WinXP. The machine is old and I have no idea where the install disc for WinXP is. And WinXP is driving me crazy on this machine for a number of reasons, so [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Question for the Linux people in the audience: I have a PC at home (don&#8217;t know the exact hardware stats offhand) that&#8217;s running WinXP. The machine is old and I have no idea where the install disc for WinXP is. And WinXP is driving me crazy on this machine for a number of reasons, so I&#8217;d like to think about switching it to Linux, specifically <a href="http://www.ubuntu.com/">Ubuntu</a> because it seems well-supported and I&#8217;ve had good experiences with Ubuntu. However, if I install Ubuntu and it doesn&#8217;t play nice with my PC, I don&#8217;t know where the WinXP install disc is and so I won&#8217;t be able to go back. And I&#8217;d rather not have to set up a dual-boot system; I know how to do that and manage the system, but the PC is for my kids and I want to keep it simple. </p>
<p>So, is there a way to try out Ubuntu, just to make sure core hardware stuff like wifi works, without wiping stuff out and installing? </p>
<p>UPDATE: The partitioning tools virusdoc was mentioning are: </p>
<p><a href="http://qtparted.sourceforge.net/features.en.html" target="_blank">http://qtparted.sourceforge.net/features.en.html</a><br />
<a href="http://en.wikipedia.org/wiki/Ntfsresize" target="_blank">http://en.wikipedia.org/wiki/Ntfsresize</a></p>
<p>These were getting caught in the spam filter. </p>
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			<media:title type="html">Robert</media:title>
		</media:content>
	</item>
		<item>
		<title>When students fail, who&#8217;s responsible?</title>
		<link>http://castingoutnines.wordpress.com/2008/05/16/when-students-fail-whos-responsible/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/16/when-students-fail-whos-responsible/#comments</comments>
		<pubDate>Fri, 16 May 2008 13:57:38 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Education]]></category>

		<category><![CDATA[Higher ed]]></category>

		<category><![CDATA[Life in academia]]></category>

		<category><![CDATA[Teaching]]></category>

		<category><![CDATA[academics]]></category>

		<category><![CDATA[Aird]]></category>

		<category><![CDATA[college]]></category>

		<category><![CDATA[higher education]]></category>

		<category><![CDATA[Norfolk State]]></category>

		<category><![CDATA[Steven Aird]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1208</guid>
		<description><![CDATA[This story out of Norfolk State University has been lighting up the internet in general and the edu-blogosphere in particular. It revolves around Steven Aird, a biologist at Norfolk, who was denied tenure for failing too many students: 
The report from [Dean Sandra DeLoatch] said that Aird met the standards for tenure in service and research, [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p><a href="http://www.insidehighered.com/news/2008/05/14/aird">This story</a> out of Norfolk State University has been lighting up the internet in general and the edu-blogosphere in particular. It revolves around Steven Aird, a biologist at Norfolk, who was denied tenure for failing too many students: </p>
<blockquote><p>The report from [Dean Sandra DeLoatch] said that Aird met the standards for tenure in service and research, and noted that he took teaching seriously, using his own student evaluations on top of the university’s. The detailed evaluations Aird does for his courses, turned over in summary form for this article, suggest a professor who is seen as a tough grader (too tough by some), but who wins fairly universal praise for his excitement about science, for being willing to meet students after class to help them, and providing extra help.</p>
<p>DeLoatch’s review finds similarly. Of Aird, she wrote, based on student reviews: “He is respectful and fair to students, adhered to the syllabus, demonstrated that he found the material interesting, was available to students outside of class, etc.”</p>
<p>What she faulted him for, entirely, was failing students. The review listed various courses, with remarks such as: “At the end of Spring 2004, 22 students remained in Dr. Aird’s CHM 100 class. One student earned a grade of ‘B’ and all others, approximately 95 percent, earned grades between ‘D’ and ‘F.’” Or: “At the end of Fall 2005, 38 students remained in Dr. Aird’s BIO 100 class. Four students earned a grade of ‘C-’ or better and 34, approximately 89 percent, received D’s and F’s.”</p>
<p>These class records resulted in the reason cited for tenure denial: “the core problem of the overwhelming failure of the vast majority of the students he teaches, especially since the students who enroll in the classes of Dr. Aird’s supporters achieve a greater level of success than Dr. Aird’s students.”</p></blockquote>
<p>But you really have to go read the whole thing to get the full complexity of the issue. Read especially the comments at the end. This situation has really touched a nerve among higher ed people.</p>
<p>And it&#8217;s not hard to see why, either. This story brings up in great clarity a profound conundrum in college teaching: When students fail, whose fault is it? Is it: </p>
<ul>
<li>the <strong>students</strong>&#8216; fault, for not working hard enough or putting forth enough effort or so forth? </li>
<li>the <strong>professor&#8217;s</strong> fault, for not working hard enough to reach and help his/her students? </li>
<li>the <strong>university&#8217;s</strong> fault, for creating a culture of low expectations? (This is Aird&#8217;s argument.) </li>
<li>the students&#8217; <strong>high schools&#8217;</strong> fault for not adequately preparing them for college? </li>
<li><strong>somebody else&#8217;s</strong> fault, for example the admissions department for allowing students who are knowingly unprepared for college to enroll, thereby forcing the university to hold lower standards in order to maintain decent retention rates? </li>
</ul>
<div>There is no one-size-fits-all answer, of course; every instance of student failure is some linear combination of faults. Looking at Aird&#8217;s case, it&#8217;s not obvious what that combination is. Is Aird simply an uncaring elitist &#8212; or an outright racist, as <a href="http://dk.librarything.com/talktopic.php?topic=36228">some critics are claiming</a> (Aird is white, and Norfolk State is a historically black university) &#8212; who is refusing to help students who need it? Is Norfolk State pulling a <a href="http://castingoutnines.wordpress.com/2006/07/25/low-academic-standards-and-mismanagement-go-together/">Benedict College</a> and enabling an academic climate so anemic that any professor who assesses students with halfway-decent standards ends up flunking the vast majority of his students? How did it get to the point where only 10% of his intro biology students are earning a C or higher? </div>
<div></div>
<div>Again, it&#8217;s hard to say exactly what happened here without more information, but there are a few things for sure about this case: </div>
<div>
<ul>
<li>The overwhelming instinct among professors is to lay the blame somewhere else besides themselves. One look at the comments at the IHE article will tell you so. And this instinct may be justified; the plain fact is that many students do fail in spite of the resources available to them, because they are not prepared, or because they have too many distractions in life, or because they are lazy and won&#8217;t utilize what&#8217;s available to them. But I think profs must beware of transferring the behavior of some students to the behavior of all students. How many of Prof. Aird&#8217;s students were adequately prepared to do well in the course, and would have done so with a little more work on Aird&#8217;s part or the students&#8217; advisors&#8217; parts? </li>
<li>The overwhelming instinct among some other people is to lay the blame squarely at the feet of the professor. &#8220;<em>If students fail, then it&#8217;s the teacher that failed</em>&#8221; is the common aphorism. But this simply isn&#8217;t true all of the time. One of the main distinguishing factors between education at the college and university level from that at the K-12 level is the degree to which students are responsible for their own learning. A university education is a meeting of the minds. The professor&#8217;s job is to craft a well-structured course that enables students to learn. But the professor cannot make learning happen &#8212; the student must pick up the ball at some point and take initiative, by doing homework (especially when it&#8217;s not required), coming to office hours, asking questions, and investing time in struggling with material that might be difficult. If the professor does her/his part and the student opts out and then fails, it&#8217;s not the professor&#8217;s fault for not going farther and doing more of the student&#8217;s work for him or her. Some times &#8212; many times &#8212; teachers pass but students fail. </li>
<li>The university or college itself bears a big responsibility: To create and foster a campus culture where the two-part meeting of the minds I just described takes place on a daily, ever-increasing basis. And by implication, it&#8217;s the university&#8217;s responsibility to eradicate anything that stands in the way of this. If the university fails to enforce its own academic rules (which appears possibly to have been the case at Norfolk regarding an &#8220;80% attendance&#8221; rule), or allows co-curricular or athletic activities to usurp the primary role of teaching and learning on campus, then nobody is going to win. </li>
</ul>
<div>If more universities would simply take up the challenge of being intentional about the primacy of academics on campus, and conduct itself likewise, then I think fewer cases like this would happen. </div>
</div>
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		<media:content url="http://a.wordpress.com/avatar/rtalbert235-128.jpg" medium="image">
			<media:title type="html">Robert</media:title>
		</media:content>
	</item>
		<item>
		<title>School&#8217;s out for summer (for two weeks)</title>
		<link>http://castingoutnines.wordpress.com/2008/05/15/schools-out-for-summer-for-two-weeks/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/15/schools-out-for-summer-for-two-weeks/#comments</comments>
		<pubDate>Thu, 15 May 2008 18:51:00 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Family]]></category>

		<category><![CDATA[Personal]]></category>

		<category><![CDATA[Teaching]]></category>

		<category><![CDATA[Calculus]]></category>

		<category><![CDATA[summer]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1206</guid>
		<description><![CDATA[Blogging&#8217;s been light lately because of the push to finish spring semester courses. I did so today, turning in my last batch of semester grades. So maybe now I can get back into a regular swing of posting. 
My main role this summer will be that of the stay-at-home dad. Our two girls normally attend preschool [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Blogging&#8217;s been light lately because of the push to finish spring semester courses. I did so today, turning in my last batch of semester grades. So maybe now I can get back into a regular swing of posting. </p>
<p>My main role this summer will be that of the stay-at-home dad. Our two girls normally attend preschool and daycare during the week, our 4-year old full-time and our 2-year old part time. This summer, the 4-year old will be going just three days a week and the 2-year old just one day a week. I will have one day a week to myself (see below), but the other four weekdays will be spent either one-on-one with my 2-year old or two-on-one with both of them. It&#8217;s a role that I am greatly looking forward to playing. </p>
<p>I will be &#8220;Mr. Mom&#8221; during the day, and then I will be teaching not one but two classes in the evenings. I signed up to teach our 8-week summer calculus course on Mondays, Tuesdays, and Thursdays from 5:30-7:30; and I am directing an independent study for one of our seniors, the meetings for which will be on Wednesdays 5:30-6:30. (We&#8217;ll be working through selections from Edward Bender&#8217;s <a href="http://www.amazon.com/Mathematical-Methods-Artificial-Intelligence-Practitioners/dp/0818672005/ref=sr_1_1?ie=UTF8&amp;s=books&amp;qid=1210876356&amp;sr=8-1">Mathematical Methods in Artificial Intelligence</a>.) </p>
<p>The girls will remain in their current preschool/daycare schedule until the start of summer classes, so I do get a couple of weeks for my own &#8220;vacation&#8221; in the interim&#8230; which will be spent writing up a paper for the <a href="http://www.ictcm.org/index1.html">ICTCM</a> proceedings and finishing up a book review for the MAA which I should have submitted back in March. I will also need to work on adapting my 14-week calculus course to an 8-week format, which is harder than it sounds. </p>
<p>Between potty-training by day and derivative-training by night, I don&#8217;t expect to have tons of free time to spend on projects like I did last summer, when the girls went full-time five days a week to daycare while I <span style="text-decoration:line-through;">whiled my days away as a gentleman of leisure</span> read and studied for the <a href="http://dydan.rutgers.edu/Education/reconnect/2007/">Reconnect 2007 workshop</a>. Actually, it was about three weeks into that summer break that I decided I would much rather have the girls at home with me than sit around surfing the internet and pretending to learn about machine learning. The bulk of the &#8220;projects&#8221; that I have for summer involve reading, and you&#8217;ll hear more about what I am working through as it happens. (Don&#8217;t want to be too ambitious at this point and lay out a reading list.)  </p>
<p>For the moment, though, it&#8217;s nice not to have the pressure of prepping for the next day&#8217;s classes and keeping up with the grading stream. </p>
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		<media:content url="http://a.wordpress.com/avatar/rtalbert235-128.jpg" medium="image">
			<media:title type="html">Robert</media:title>
		</media:content>
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		<item>
		<title>Identity theft on Facebook?</title>
		<link>http://castingoutnines.wordpress.com/2008/05/09/identity-theft-on-facebook/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/09/identity-theft-on-facebook/#comments</comments>
		<pubDate>Fri, 09 May 2008 12:56:26 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[High school]]></category>

		<category><![CDATA[Social software]]></category>

		<category><![CDATA[Student culture]]></category>

		<category><![CDATA[Technology]]></category>

		<category><![CDATA[Facebook]]></category>

		<category><![CDATA[identity theft]]></category>

		<category><![CDATA[roncalli]]></category>

		<category><![CDATA[social networking]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1205</guid>
		<description><![CDATA[I&#8217;m a little surprised you don&#8217;t hear about this sort of thing happening more often: 
A Roncalli High School administrator is asking a judge to force the Internet site Facebook to identify the pranksters who hijacked his identity for a phony Webpage.
Tim Puntarelli, Roncalli [High School]&#8217;s dean of students, and the Roman Catholic Archdiocese is suing Facebook [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>I&#8217;m a little surprised you don&#8217;t hear about <a href="http://www.indystar.com/apps/pbcs.dll/article?AID=/20080509/NEWS04/805090469">this sort of thing</a> happening more often: </p>
<blockquote><p>A <a href="http://www.roncalli.org/">Roncalli High School</a> administrator is asking a judge to force the Internet site Facebook to identify the pranksters who hijacked his identity for a phony Webpage.</p>
<p>Tim Puntarelli, Roncalli [High School]&#8217;s dean of students, and the Roman Catholic Archdiocese is suing Facebook and the anonymous creators of the false Webpage the suit claims contained false, embarrassing, and defaming information about Puntarelli and Roncalli High School.</p>
<p>The page creators used the Facebook page to pose as Puntarelli and send emails to Roncalli students, according to the lawsuit filed Thursday in Marion Superior Court.</p>
<p>Facebook officials removed the page when they were notified of the site on April 18, but refused to disclose the identity of the creators without a court order, according to the lawsuit.</p>
<p>Puntarelli and the Archdiocese are asking a judge to order Facebook to identify the creators of the page. The suit indicates they want the pranksters to pay triple the attorney fees and court costs.</p></blockquote>
<p>I&#8217;m also somewhat surprised that Facebook is so reluctant to hand over the identity of the kids (presumably kids, at least) who set up this phony web page when they freely admit that the page is phony and the administrator&#8217;s identity was hijacked. Why should you need a court order for this? </p>
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			<media:title type="html">Robert</media:title>
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	</item>
		<item>
		<title>Tagged!</title>
		<link>http://castingoutnines.wordpress.com/2008/05/07/tagged/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/07/tagged/#comments</comments>
		<pubDate>Wed, 07 May 2008 13:06:35 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Personal]]></category>

		<category><![CDATA[meme]]></category>

		<category><![CDATA[tagged]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1204</guid>
		<description><![CDATA[Dana Huff tagged me with a meme, and that&#8217;s a lot more fun than closing out a semester and prepping for finals, so I&#8217;ll play along. Here are the rules: 

The rules of the game get posted at the beginning.
Each player answers the questions about themselves.
At the end of the post, the player then tags 5-6 [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p><a href="http://www.huffenglish.com/">Dana Huff</a> tagged me with a meme, and that&#8217;s a lot more fun than closing out a semester and prepping for finals, so I&#8217;ll play along. Here are the rules: </p>
<ol>
<li>The rules of the game get posted at the beginning.</li>
<li>Each player answers the questions about themselves.</li>
<li>At the end of the post, the player then tags 5-6 people and posts their names, then goes to their blogs and leaves them a comment, letting them know they’ve been tagged and asking them to read the player’s blog.</li>
<li>Let the person who tagged you know when you’ve posted your answer.</li>
</ol>
<div>
<p><strong>What were you doing ten years ago?</strong></p>
<p>I was closing out the first year of my first professor gig. It was probably the most tumultuous year of my life. I had moved to northern Indiana from Tennessee, where I had lived my whole life up to that point. I was in shock at the reality of teaching in a third-tier small college, having gone through 4-5 years of dreamy idealism about what being a professor was going to be like. I had more grading and prepping than I thought possible. Oh, and I was trying to get my dissertation published, while at the same time my knowledge of generalized homology theory was decaying exponentially from not having any time to keep up with it. </p>
<div><strong>What are five things on my to-do list for today (not in any particular order)</strong></div>
</div>
<div>
<ol>
<li>Draft a proposal for a faculty meeting tomorrow. </li>
<li>Grade a couple of differential equations homework sets. </li>
<li>Grade a calculus assignment for one guy who had to turn it in late (for a legit excuse). </li>
<li>Do my GTD weekly review, which I am usually doing this time of the week, but instead I am writing this blog post!</li>
<li>Start grading the test that my linear algebra class took on Monday. </li>
</ol>
</div>
<div>
<p><strong>What are some snacks I enjoy?</strong></p>
<ul>
<li>Cereal, right out of the box. No particular brand preference. </li>
<li>Baked Cheetos. My girls started liking these, and I&#8217;ve found myself scarfing down half a bag myself before I even knew what I was doing. </li>
<li>English muffins. There&#8217;s a honey-wheat variety they sell at the local <a href="http://www.marsh.net/">Marsh</a> that is almost like eating a dessert pastry. </li>
</ul>
<div><strong><strong>What would I do if I were a billionaire?</strong>   </p>
<ul>
<li><span style="font-weight:normal;">Pay off the rest of my family&#8217;s debts. We&#8217;ve been </span><a href="http://dangeroustasks.wordpress.com/2008/03/05/completed-family-7/"><span style="font-weight:normal;">working on that a lot this year</span></a><span style="font-weight:normal;"> already. </span></li>
<li><span style="font-weight:normal;">Store away enough money for college and grad school for my two daughters. </span></li>
<li><span style="font-weight:normal;">Give about $10 million or so to endow my 4-year old&#8217;s Montessori preschool, which does an amazing job with the kids but is perpetually on the brink of bankruptcy. </span></li>
<li><span style="font-weight:normal;">Finish off the list of stuff we want to do to the house &#8212; finish the basement, put in new kitchen countertops, etc. </span></li>
<li><span style="font-weight:normal;">Store away enough money to take the family to China for 2-3 months once the girls are teenagers. </span></li>
<li><span style="font-weight:normal;">I&#8217;d seriously consider opening my own university.  It would be a </span><a href="http://www.thegreatideas.org/schools.html"><span style="font-weight:normal;">Great Books school</span></a><span style="font-weight:normal;"> with an emphasis on math and science. $100 million or so would be way more than enough for a decent endowment.</span></li>
</ul>
<div><strong><strong>What are three of my bad habits?</strong>   </p>
<ul>
<li><span style="font-weight:normal;">Burping out loud. (That&#8217;s not necessarily bad if you live by yourself, but if you have a 4- and 2-year old living with you who you want to have </span><em><span style="font-weight:normal;">good</span></em><span style="font-weight:normal;"> habits&#8230;)</span></li>
<li><span style="font-weight:normal;">Blogging or web surfing when there&#8217;s work to get done. (Oops.) </span></li>
<li><span style="font-weight:normal;">Talking to myself. </span></li>
</ul>
<div><strong><strong>What are five places where you have lived?</strong>   </p>
<ol>
<li><span style="font-weight:normal;">White Bluff, TN. </span></li>
<li><span style="font-weight:normal;">A cheap guest house in the ritzy Whitland Avenue neighborhood of Nashville, TN. I lived there in graduate school for five years. </span><a href="http://en.wikipedia.org/wiki/Lamar_Alexander"><span style="font-weight:normal;">Lamar Alexander</span></a><span style="font-weight:normal;"> was my neighbor two doors up and </span><a href="http://en.wikipedia.org/wiki/Al_gore"><span style="font-weight:normal;">Al Gore</span></a><span style="font-weight:normal;"> was just around the corner. </span></li>
<li><span style="font-weight:normal;">Cookeville, TN </span></li>
<li><span style="font-weight:normal;">Mishawaka, IN</span></li>
<li><span style="font-weight:normal;">Bargersville, IN</span></li>
</ol>
<div>
<p><strong>What are five jobs I have had?</strong></p>
<div>
<ol>
<li><span style="font-weight:normal;">Professor at a small liberal arts college. </span></li>
<li><span style="font-weight:normal;">Adjunct professor at a large urban community college. </span></li>
<li><span style="font-weight:normal;">Math tutor at a private educational service. </span></li>
<li><span style="font-weight:normal;">Baker/jack-of-all-trades at a mom &amp; pop donut shop. Still possibly my favorite job I&#8217;ve ever had. If could have earned more than $30K a year and gotten benefits there, I&#8217;d never have left. </span></li>
<li><span style="font-weight:normal;">Librarian assistant at the </span><a href="http://www.mc.vanderbilt.edu/biolib/"><span style="font-weight:normal;">Vanderbilt University Biomedical Library</span></a><span style="font-weight:normal;">. I started out just as grunt labor, reshelving books and journals and changing paper in the copiers and so on; but eventually I worked the circulation desk and helped the reference librarians do technical search work. I&#8217;ve always thought that was a cool job, working in a high-powered specialized research library, and if I ever changed careers, that would be one I&#8217;d consider. </span></li>
</ol>
<div>Now it&#8217;s time to tag five people. Apologies if the following have already done this, but: </div>
<div>
<ul>
<li><a href="http://blog.drscottfranklin.net/"><span style="font-weight:normal;">Scott Franklin</span></a><span style="font-weight:normal;"> at Natural Blogarithms. </span></li>
<li><a href="http://jonathanshelbyberg.blogspot.com"><span style="font-weight:normal;">Shelby Berg</span></a><span style="font-weight:normal;">, a friend from my grad school days who co-writes a blog with her husband about their incredibly cute 1-year old son. </span></li>
<li><a href="http://inteldis.wordpress.com/"><span style="font-weight:normal;">Julia</span></a><span style="font-weight:normal;"> at Intelligent Dissent, who is probably way too busy thinking about really cool and important ideas to do something so pedestrian as a meme, but I&#8217;m tagging her anyway. </span></li>
<li><a href="http://godplaysdice.blogspot.com/"><span style="font-weight:normal;">Isabel</span></a><span style="font-weight:normal;"> at God Plays Dice. </span></li>
<li><a href="http://www.myownthoughts.com/"><span style="font-weight:normal;">Suzi</span></a><span style="font-weight:normal;"> at My Own Thoughts. </span></li>
</ul>
</div>
</div>
</div>
<p></strong> </p>
</div>
<p></strong> </p>
</div>
<p></strong> </p>
</div>
</div>
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			<media:title type="html">Robert</media:title>
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		<item>
		<title>Deconstructing dx</title>
		<link>http://castingoutnines.wordpress.com/2008/05/05/deconstructing-dx/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/05/deconstructing-dx/#comments</comments>
		<pubDate>Mon, 05 May 2008 18:48:55 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Calculus]]></category>

		<category><![CDATA[Math]]></category>

		<category><![CDATA[Teaching]]></category>

		<category><![CDATA[derivative]]></category>

		<category><![CDATA[differentiation]]></category>

		<category><![CDATA[integral]]></category>

		<category><![CDATA[integration]]></category>

		<category><![CDATA[stewart calculus]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1203</guid>
		<description><![CDATA[Asking the following question may make me less of a mathematician in some people&#8217;s eyes, and I&#8217;m fine with that, but: How do you explain the meaning of the differential dx inside an integral? And more importantly, how do you treat the dx in an integral so that, when you get to u-substitutions, all the [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Asking the following question may make me less of a mathematician in some people&#8217;s eyes, and I&#8217;m fine with that, but: How do you explain the meaning of the differential <em>dx</em> inside an integral? And more importantly, how do you treat the dx in an integral so that, when you get to u-substitutions, all the substituting with du and dx and so on means more than just a mindless crunching of symbols? </p>
<p>Here&#8217;s how <a href="http://www.stewartcalculus.com/">Stewart&#8217;s </a><em><a href="http://www.stewartcalculus.com/">Calculus</a></em> does it: </p>
<ul>
<li>In the section introducing the definite integral and its notation, it says: &#8220;The symbol dx has no official meaning by itself; <img src='http://l.wordpress.com/latex.php?latex=%5Cint_a%5Eb+f%28x%29+%5C%2C+dx&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\int_a^b f(x) \, dx' title='\int_a^b f(x) \, dx' class='latex' /> is all one symbol.&#8221; (What kind of statement is that? If dx has &#8220;no official meaning&#8221;, then why is it there at all?) </li>
<li>In the section on Indefinite Integrals and the Net Change Theorem, there is a note &#8212; almost an afterthought &#8212; on units at the very end, where there is an implied connection between <img src='http://l.wordpress.com/latex.php?latex=%5CDelta+t&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\Delta t' title='\Delta t' class='latex' /> in the Riemann sum and dt in the integral, in the context of determining the units of an integral. But no explicit connection, such as &#8220;dx is the limit of <img src='http://l.wordpress.com/latex.php?latex=%5CDelta+x&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\Delta x' title='\Delta x' class='latex' /> as n increases without bound&#8221; or something like that. </li>
<li>Then we get to the section on u-substitution, which opens with considering the calculation of <img src='http://l.wordpress.com/latex.php?latex=%5Cint+2x+%5Csqrt%7Bx%5E2%2B1%7D+%5C%2C+dx&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\int 2x \sqrt{x^2+1} \, dx' title='\int 2x \sqrt{x^2+1} \, dx' class='latex' /> (labelled as (1) in the book). We get this, er, explanation: </li>
</ul>
<blockquote><p>Suppose that we let u be the quantity under the root sign in (1),  <img src='http://l.wordpress.com/latex.php?latex=u+%3D+1+%2B+x%5E2&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='u = 1 + x^2' title='u = 1 + x^2' class='latex' />. Then the differential of u is du = 2x dx. Notice that if the dx in the notation for an integral were to be interpreted as a differential, then the differential 2x dx would occur in  (1), and, so, formally, without justifying our calculation, we could write <img src='http://l.wordpress.com/latex.php?latex=%5Cint+2x+%5Csqrt%7B1%2Bx%5E2%7D+%5C%2C+dx+%3D+%5Cint+%5Csqrt%7Bu%7D+%5C%2C+du&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\int 2x \sqrt{1+x^2} \, dx = \int \sqrt{u} \, du' title='\int 2x \sqrt{1+x^2} \, dx = \int \sqrt{u} \, du' class='latex' />&#8230;</p></blockquote>
<p>So, according to Stewart, dx has &#8220;no official meaning&#8221;. But if we <em>were to interpret</em> dx as a differential &#8212; he makes it sound like we have a choice! &#8212; then using purely formal calculations which we will not stoop to justify, we could write the du in terms of dx. That is, integrals contain these meaningless symbols which, although they have no meaning, we must give them some meaning &#8212; and in one particular way &#8212; or else we can&#8217;t solve the integral using these purely formal and highly subjunctive symbolic manipulations that end up getting the right answer. </p>
<p>Er, right. </p>
<p>To be fair, my usual way of handling things isn&#8217;t much better. I start by reminding students of the Leibniz notation for differentiation, i.e. the derivative of y with respect to x is dy/dx. Then I say that, although that notation is not really a fraction, it comes from a fraction &#8212; and that much is true, since dy/dx is the limit of <img src='http://l.wordpress.com/latex.php?latex=%5CDelta+y+%2F+%5CDelta+x&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='\Delta y / \Delta x' title='\Delta y / \Delta x' class='latex' /> as the interval length goes to 0 &#8212; and so we can treat it like a fraction in the sense that, say, if <img src='http://l.wordpress.com/latex.php?latex=u+%3D+x%5E2+%2B+1&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='u = x^2 + 1' title='u = x^2 + 1' class='latex' /> then <img src='http://l.wordpress.com/latex.php?latex=du%2Fdx+%3D+2x&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='du/dx = 2x' title='du/dx = 2x' class='latex' /> and so, &#8220;multiplying by dx&#8221;, we get <img src='http://l.wordpress.com/latex.php?latex=du+%3D+2x+dx&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='du = 2x dx' title='du = 2x dx' class='latex' />. But that&#8217;s not much less hand-wavy than Stewart. </p>
<p>Can somebody offer up an explanation of the manipulation of dx that makes sense to a freshman, works, and has the added benefit of actually being true? </p>
<img alt="" border="0" src="http://feeds.wordpress.com/1.0/categories/castingoutnines.wordpress.com/1203/" /> <img alt="" border="0" src="http://feeds.wordpress.com/1.0/tags/castingoutnines.wordpress.com/1203/" /> <a rel="nofollow" href="http://feeds.wordpress.com/1.0/gocomments/castingoutnines.wordpress.com/1203/"><img alt="" border="0" src="http://feeds.wordpress.com/1.0/comments/castingoutnines.wordpress.com/1203/" /></a> <a rel="nofollow" href="http://feeds.wordpress.com/1.0/godelicious/castingoutnines.wordpress.com/1203/"><img alt="" border="0" src="http://feeds.wordpress.com/1.0/delicious/castingoutnines.wordpress.com/1203/" /></a> <a rel="nofollow" href="http://feeds.wordpress.com/1.0/gostumble/castingoutnines.wordpress.com/1203/"><img alt="" border="0" src="http://feeds.wordpress.com/1.0/stumble/castingoutnines.wordpress.com/1203/" /></a> <a rel="nofollow" href="http://feeds.wordpress.com/1.0/godigg/castingoutnines.wordpress.com/1203/"><img alt="" border="0" src="http://feeds.wordpress.com/1.0/digg/castingoutnines.wordpress.com/1203/" /></a> <a rel="nofollow" href="http://feeds.wordpress.com/1.0/goreddit/castingoutnines.wordpress.com/1203/"><img alt="" border="0" src="http://feeds.wordpress.com/1.0/reddit/castingoutnines.wordpress.com/1203/" /></a> <img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=castingoutnines.wordpress.com&blog=1529660&post=1203&subd=castingoutnines&ref=&feed=1" /></div>]]></content:encoded>
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			<media:title type="html">Robert</media:title>
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		<item>
		<title>Update on my &#8220;super powers&#8221;</title>
		<link>http://castingoutnines.wordpress.com/2008/05/02/update-on-my-super-powers/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/02/update-on-my-super-powers/#comments</comments>
		<pubDate>Sat, 03 May 2008 02:23:41 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Personal]]></category>

		<category><![CDATA[binary]]></category>

		<category><![CDATA[stroke]]></category>

		<category><![CDATA[tia]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1202</guid>
		<description><![CDATA[So yes, I did actually go see a doctor this afternoon to see if my blurry-vision incident might be something serious. It wasn&#8217;t a TIA or a stroke, because apparently a TIA lasts for 30 minutes or so and includes all the symptoms of a stroke &#8212; slurred speech, immobility on one side of the [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>So yes, I did actually go see a doctor this afternoon to see if my <a href="http://castingoutnines.wordpress.com/2008/05/01/super-powers-of-2/">blurry-vision incident</a> might be something serious. It wasn&#8217;t a <a href="http://www.americanheart.org/presenter.jhtml?identifier=4781">TIA</a> or a stroke, because apparently a TIA lasts for 30 minutes or so and includes all the symptoms of a stroke &#8212; slurred speech, immobility on one side of the body, and so on. This only lasted a few seconds and was just blurry vision. In fact nobody knows what might have caused that to happen; possibly a small blood clot or just a muscle spasm in my eye. </p>
<p>But I just wanted everyone to know I did get it checked out. Especially virusdoc, whose <a href="http://castingoutnines.wordpress.com/2008/05/01/super-powers-of-2/#comment-15809">comment</a> got me to Google &#8220;TIA&#8221; which then put the fear of God into me and then got me to the ER &#8212; where I ended up in room 14, although I was really hoping for room 16 just to make the whole powers-of-2 thing complete. </p>
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		<title>(Super-)Powers of 2</title>
		<link>http://castingoutnines.wordpress.com/2008/05/01/super-powers-of-2/</link>
		<comments>http://castingoutnines.wordpress.com/2008/05/01/super-powers-of-2/#comments</comments>
		<pubDate>Fri, 02 May 2008 01:03:09 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Geekhood]]></category>

		<category><![CDATA[Math]]></category>

		<category><![CDATA[Personal]]></category>

		<category><![CDATA[binary]]></category>

		<category><![CDATA[geek]]></category>

		<category><![CDATA[nerd]]></category>

		<category><![CDATA[number theory]]></category>

		<category><![CDATA[superhero]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1201</guid>
		<description><![CDATA[Driving in to work this morning, I suddenly felt my vision go blurry to the point where I literally couldn&#8217;t see anything. Fortunately, I was able to pull off the road into the parking lot of a small office building before causing an accident. After I stopped and waited for the blurriness to subside, the [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Driving in to work this morning, I suddenly felt my vision go blurry to the point where I literally couldn&#8217;t see anything. Fortunately, I was able to pull off the road into the parking lot of a small office building before causing an accident. After I stopped and waited for the blurriness to subside, the first thing I saw was the mailbox for the office building, which had a street number of: 2048. Rather than wonder what the crap was wrong with my eyesight, or frantically try to decide whether to go see a doctor on the spot, instead the first thing I thought was hey: That&#8217;s <img src='http://l.wordpress.com/latex.php?latex=2%5E%7B11%7D&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='2^{11}' title='2^{11}' class='latex' />. </p>
<p>Then, after making it to work with no more blurry vision attacks, I walked up to my office &#8212; the same office I have been entering and exiting since summer 2001 &#8212; and looked at the office number and saw it: room 128. Of course, I&#8217;ve never had a problem remembering my office number But for the first time in seven years, I noticed, hey: that&#8217;s <img src='http://l.wordpress.com/latex.php?latex=2%5E%7B7%7D&amp;bg=ffffff&amp;fg=000000&amp;s=0' alt='2^{7}' title='2^{7}' class='latex' />. </p>
<p>So, maybe the blurry vision attack was me suddenly gaining the superhero power of being able to recognize powers of 2 with lightning quickness. If so, I somehow don&#8217;t see the <a href="http://en.wikipedia.org/wiki/Justice_League">Justice League of America</a> saving me a seat anytime soon. </p>
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			<media:title type="html">Robert</media:title>
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		<title>Actual research on tech literacy!</title>
		<link>http://castingoutnines.wordpress.com/2008/04/29/actual-research-on-tech-literacy/</link>
		<comments>http://castingoutnines.wordpress.com/2008/04/29/actual-research-on-tech-literacy/#comments</comments>
		<pubDate>Tue, 29 Apr 2008 17:57:44 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Education]]></category>

		<category><![CDATA[Educational technology]]></category>

		<category><![CDATA[Student culture]]></category>

		<category><![CDATA[Teaching]]></category>

		<category><![CDATA[Technology]]></category>

		<category><![CDATA[digital native]]></category>

		<category><![CDATA[hargittai]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1200</guid>
		<description><![CDATA[Finally, a professional sociologist has done some actual research on the concept of the digital native. Her view is a little more measured than others&#8216;. From this interview: 
Q. Why do people think young people are so Web-wise?
A. I think the assumption is that if it was available from a young age for them, then they can [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Finally, a <a href="http://www.eszter.northwestern.edu/">professional sociologist</a> has done some actual research on the concept of the <a href="http://en.wikipedia.org/wiki/Digital_native">digital native</a>. Her view is a little more measured than <a href="http://davidwarlick.com/2cents/">others</a>&#8216;. From <a href="http://chronicle.com/wiredcampus/article/2943/a-sociologist-says-students-arent-so-web-wise-after-all-interview">this interview</a>: </p>
<blockquote><p><strong>Q. Why do people think young people are so Web-wise?</strong></p>
<p><strong>A.</strong> I think the assumption is that if it was available from a young age for them, then they can use it better. Also, the people who tend to comment about technology use tend to be either academics or journalists or techies, and these three groups tend to understand some of these new developments better than the average person. Ask your average 18-year-old: Does he know what <span>RSS</span> means? And he won’t.</p></blockquote>
<p>The importance of having empirical findings about digital literacy among young people &#8212; as opposed to anecdotes and assumptions that tend to affirm what we want to believe &#8212; is that the more we assume, the less we teach. As Prof. Hargittai puts it: </p>
<blockquote><p><strong>Q. Are there implications for workplace readiness?</strong></p>
<p><strong>A.</strong> There are positive outcomes for those who know how to work and employ tech information, and those who lack information will confront a different situation. In terms of a link with demographic differences, those people who seem to be more savvy are the ones who tend to be in more-privileged positions. There will be an increase in social inequality if this divergence continues this way.</p></blockquote>
<p>I&#8217;m not a fan of the concept of &#8220;privilege&#8221;, but it&#8217;s plain to see that some demographics have better access to technology than others. And it&#8217;s all fun to suppose that students these days are technologically literate and then craft way-cool tech-centered curricula around that assumption. But the problem is that the students who are not technologically savvy &#8212; whom Prof. Hargittai identifies as &#8220;Women, students of Hispanic origin, African-American students, and students whose parents have lower levels of education&#8221;, which is to say, an awfully big percentage of the people we teach &#8212; end up getting left behind while we have our fun. </p>
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			<media:title type="html">Robert</media:title>
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		<title>Friedman gets a pie in the face</title>
		<link>http://castingoutnines.wordpress.com/2008/04/24/friedman-gets-a-pie-in-the-face/</link>
		<comments>http://castingoutnines.wordpress.com/2008/04/24/friedman-gets-a-pie-in-the-face/#comments</comments>
		<pubDate>Thu, 24 Apr 2008 10:53:14 +0000</pubDate>
		<dc:creator>Robert</dc:creator>
		
		<category><![CDATA[Academic freedom]]></category>

		<category><![CDATA[Free speech]]></category>

		<category><![CDATA[Higher ed]]></category>

		<category><![CDATA[Life in academia]]></category>

		<category><![CDATA[brown]]></category>

		<category><![CDATA[pie attack]]></category>

		<category><![CDATA[thomas friedman]]></category>

		<guid isPermaLink="false">http://castingoutnines.wordpress.com/?p=1199</guid>
		<description><![CDATA[Seems like it&#8217;s been ages since we&#8217;ve heard of crazed left-wing university students throwing pies at speakers, so I&#8217;m almost nostalgic about this:
Brown University is condemning the actions of two people — at least one of whom is a student — who threw a pie-like substance Tuesday night at Thomas Friedman, a columnist for The [...]]]></description>
			<content:encoded><![CDATA[<div class='snap_preview'><br /><p>Seems like it&#8217;s been ages since we&#8217;ve heard of crazed left-wing university students throwing pies at speakers, so I&#8217;m almost nostalgic about <a href="http://insidehighered.com/news/2008/04/24/qt">this</a>:</p>
<blockquote><p>Brown University is condemning the actions of two people — at least one of whom is a student — who threw a pie-like substance Tuesday night at <a href="http://www.thomaslfriedman.com/">Thomas Friedman</a>, a columnist for The New York Times who was speaking on the campus. Friedman took a few minutes to clean himself up, but continued his talk. Michael Chapman, vice president for public affairs and university relations, issued a statement in which he said: “Freedom of speech is prized on a university campus. While Brown students are encouraged to express their opinions on any subject and in a variety of forums, the university does not tolerate such assaults against a speaker or disrupting the right of others to hear a speaker’s perspectives.” The statement said that one of those involved was apprehended and identified as a student. “The university will review this incident through its non-academic disciplinary system to determine the appropriate response.”</p></blockquote>
<p>This is the same Thomas Friedman, by the way, who wrote <a href="http://www.thomaslfriedman.com/worldisflat3.htm">The World is Flat</a>, the seminal work for much of today&#8217;s edublogging. More: </p>
<blockquote><p>The Providence Journal reported that the incident involved paper plates with shamrock-colored whipped cream. After they were thrown at Friedman, one of those protesting threw in the air leaflets that criticized Friedman, saying: “Thomas Friedman deserves a pie in the face because of his sickeningly cheery applause for free market capitalism’s conquest of the planet, for telling the world that the free market and techno fixes can save us from climate change. From carbon trading to biofuels, these distractions are dangerous in and of themselves, while encouraging inaction with respect to the true problems at hand.”</p></blockquote>
<p>These morons have just enough intellect and courage to hit somebody in the face with a pie and then run away, trailing badly-written quasi-philosophical leaflets in their wake; but not enough to actually write real books and give public lectures about the issues. Here&#8217;s hoping Brown acts with some toughness on this. </p>
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			<media:title type="html">Robert</media:title>
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