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	<title>Punya Mishra's Web &#187; Mathematics</title>
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	<link>http://punya.educ.msu.edu</link>
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		<title>Postdictable, the commercials</title>
		<link>http://punya.educ.msu.edu/2009/10/15/postdictable-the-commercials/</link>
		<comments>http://punya.educ.msu.edu/2009/10/15/postdictable-the-commercials/#comments</comments>
		<pubDate>Thu, 15 Oct 2009 13:45:22 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<category><![CDATA[Postdictable]]></category>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/?p=849</guid>
		<description><![CDATA[I had written earlier about the idea of &#8220;postdictable&#8221; which was defined as something that is &#8220;surprising initially, but then understandable with a bit of thought.&#8221; It lies at the spot between predictability and total chaos. The movie Sixth Sense is postdictable in the best sense of the world. Good teaching I believe needs to [...]]]></description>
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		<slash:comments>2</slash:comments>
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		<title>Obtuse can be right!</title>
		<link>http://punya.educ.msu.edu/2009/08/06/obtuse-can-be-right/</link>
		<comments>http://punya.educ.msu.edu/2009/08/06/obtuse-can-be-right/#comments</comments>
		<pubDate>Thu, 06 Aug 2009 17:33:02 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<category><![CDATA[wordplay]]></category>

		<guid isPermaLink="false">http://punya.educ.msu.edu/?p=727</guid>
		<description><![CDATA[My daughter, whose creative exploits have been featured here before (for instance see her design for a math-music game), now has a blog, titled Uniquely Mine. It features original writing (poems, stories) by her. Do check it out. You can find regular updates on this blog via the beauty of RSS feeds on the right [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<title>Information is beautiful</title>
		<link>http://punya.educ.msu.edu/2009/08/05/information-is-beautiful/</link>
		<comments>http://punya.educ.msu.edu/2009/08/05/information-is-beautiful/#comments</comments>
		<pubDate>Wed, 05 Aug 2009 18:57:47 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/?p=722</guid>
		<description><![CDATA[Anybody who knows me (and/or reads this blog) will know of my love of issues related to representation (see all postings under that category). So I am always looking out for new and interesting representations. An lovely example sent to me by Patrick Dickson is website titled Information is beautiful. This site, and much of [...]]]></description>
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		<slash:comments>1</slash:comments>
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		<title>Visual proofs</title>
		<link>http://punya.educ.msu.edu/2009/08/03/visual-proofs/</link>
		<comments>http://punya.educ.msu.edu/2009/08/03/visual-proofs/#comments</comments>
		<pubDate>Tue, 04 Aug 2009 02:24:23 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<category><![CDATA[visual]]></category>

		<guid isPermaLink="false">http://punya.educ.msu.edu/?p=712</guid>
		<description><![CDATA[I just came across these lovely visual mathematical proofs. 
For instance consider the following sequence:
1/2 + 1/4 + 1/8 + 1/16 + &#8230; = 1
and then see the following image on the blog!!
How cool is that!!!!
I had posted about something similar earlier (see visualizing mathematics). 
Note: Before someone gets technical on me, I should admit [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<title>Making (non)sense of dots &amp; lines</title>
		<link>http://punya.educ.msu.edu/2009/07/06/making-nonsense-of-dots-lines/</link>
		<comments>http://punya.educ.msu.edu/2009/07/06/making-nonsense-of-dots-lines/#comments</comments>
		<pubDate>Mon, 06 Jul 2009 20:42:52 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<category><![CDATA[simulation]]></category>
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		<category><![CDATA[youtube]]></category>

		<guid isPermaLink="false">http://punya.educ.msu.edu/?p=634</guid>
		<description><![CDATA[I love how these interconnected pipes called the Intertubes lead to serendipitous discoveries. Here are two videos, the first I went looking for, and the second, fell into my lap, so to speak, due to YouTubes related videos section.
The video I went looking for was based on a delightful book I had picked up at [...]]]></description>
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		<title>Too cool for school: Using the TPACK framework</title>
		<link>http://punya.educ.msu.edu/2009/04/30/too-cool-for-school-using-the-tpack-framework/</link>
		<comments>http://punya.educ.msu.edu/2009/04/30/too-cool-for-school-using-the-tpack-framework/#comments</comments>
		<pubDate>Thu, 30 Apr 2009 17:23:22 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
				<category><![CDATA[Creativity]]></category>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/2009/04/30/too-cool-for-school-using-the-tpack-framework/</guid>
		<description><![CDATA[]]></description>
		<wfw:commentRss>http://punya.educ.msu.edu/2009/04/30/too-cool-for-school-using-the-tpack-framework/feed/</wfw:commentRss>
		<slash:comments>3</slash:comments>
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		<item>
		<title>Special CITE issue on TPACK</title>
		<link>http://punya.educ.msu.edu/2009/03/30/special-cite-issue-on-tpack/</link>
		<comments>http://punya.educ.msu.edu/2009/03/30/special-cite-issue-on-tpack/#comments</comments>
		<pubDate>Mon, 30 Mar 2009 05:59:59 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
				<category><![CDATA[Learning]]></category>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/2009/03/30/special-cite-issue-on-tpack/</guid>
		<description><![CDATA[The CITE Journal had a recent special issue devoted to TPACK. You can access the special issue (edited by Judi Harris and ]]></description>
		<wfw:commentRss>http://punya.educ.msu.edu/2009/03/30/special-cite-issue-on-tpack/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
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		<title>TPACK &amp; the moon OR why I love the web</title>
		<link>http://punya.educ.msu.edu/2009/03/27/tpack-the-moon-or-why-i-love-the-web/</link>
		<comments>http://punya.educ.msu.edu/2009/03/27/tpack-the-moon-or-why-i-love-the-web/#comments</comments>
		<pubDate>Fri, 27 Mar 2009 20:36:11 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
				<category><![CDATA[Art]]></category>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/2009/03/27/tpack-the-moon-or-why-i-love-the-web/</guid>
		<description><![CDATA[I recently blogged (here and here) about the experiment conducted by students in Italy that allowed them to use publicly available NASA audio recordings from the moon landings to determine the distance between the earth and the moon. I bit more online research led to me to the original paper published on arXiv. arXiv is [...]]]></description>
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		<slash:comments>1</slash:comments>
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		<title>Following up on lunar distance</title>
		<link>http://punya.educ.msu.edu/2009/03/27/following-up-on-lunar-distance/</link>
		<comments>http://punya.educ.msu.edu/2009/03/27/following-up-on-lunar-distance/#comments</comments>
		<pubDate>Fri, 27 Mar 2009 16:15:21 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/2009/03/27/following-up-on-lunar-distance/</guid>
		<description><![CDATA[A followup to my previous posting about the Italian kids calculating the distance to the moon using recordings from the Apollo Space program. 
As I read the story on the technology Review website, I came to the comments made by readers. One stuck out. This is what somebody had said:
Wow, they took the speed of [...]]]></description>
		<wfw:commentRss>http://punya.educ.msu.edu/2009/03/27/following-up-on-lunar-distance/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
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		<title>From Tech to Ed Tech: Distance to the moon</title>
		<link>http://punya.educ.msu.edu/2009/03/27/from-tech-to-ed-tech-distance-to-the-moon/</link>
		<comments>http://punya.educ.msu.edu/2009/03/27/from-tech-to-ed-tech-distance-to-the-moon/#comments</comments>
		<pubDate>Fri, 27 Mar 2009 16:01:12 +0000</pubDate>
		<dc:creator>Punya Mishra</dc:creator>
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		<guid isPermaLink="false">http://punya.educ.msu.edu/2009/03/27/from-tech-to-ed-tech-distance-to-the-moon/</guid>
		<description><![CDATA[For one reason or another, I have three consecutive posts regarding the earth and sun and moon &#8211; i.e. the local area in the solar system. I had just completed my previous postings (on on seeing through eclipses and measuring the radius of the earth) when I came across this news story (h/t Geekpress): School [...]]]></description>
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