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	Comments on: How Can We Break This?	</title>
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	<description>less helpful</description>
	<lastBuildDate>Sun, 10 May 2009 04:46:05 +0000</lastBuildDate>
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		<title>
		By: Touzel		</title>
		<link>/2009/how-can-we-break-this/#comment-225663</link>

		<dc:creator><![CDATA[Touzel]]></dc:creator>
		<pubDate>Sun, 10 May 2009 04:46:05 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-225663</guid>

					<description><![CDATA[Hey Dan, I was just wondering why you named proportional reasoning as The Mathematical Skill I&#039;d Most Like My Students To Retain After High School. Why not understanding exponential growth? (you know... because Americans have such problems with credit and all) Or interpreting graphs? Or discerning whether events are independent? (since we are such a superstitious species) Or factoring? (j/k)]]></description>
			<content:encoded><![CDATA[<p>Hey Dan, I was just wondering why you named proportional reasoning as The Mathematical Skill I&#8217;d Most Like My Students To Retain After High School. Why not understanding exponential growth? (you know&#8230; because Americans have such problems with credit and all) Or interpreting graphs? Or discerning whether events are independent? (since we are such a superstitious species) Or factoring? (j/k)</p>
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		<title>
		By: dan		</title>
		<link>/2009/how-can-we-break-this/#comment-202440</link>

		<dc:creator><![CDATA[dan]]></dc:creator>
		<pubDate>Sat, 17 Jan 2009 02:23:05 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202440</guid>

					<description><![CDATA[Shoot, &lt;strong&gt;Darren&lt;/strong&gt;, good link. Never bothered to click it any of the previous ninety-nine times I&#039;ve seen it &#039;cause I thought it was a bunch of shots from deep space or something.

Frankly, I have no idea how to use most of them. There are some interesting &quot;what shapes do you see here?&quot; shots, but that question doesn&#039;t scratch past the surface nine conversations out of ten.

I do love &lt;a href=&quot;http://www.boston.com/bigpicture/2009/01/earth_observed.html#photo22&quot; rel=&quot;nofollow&quot;&gt;this one&lt;/a&gt;, though – the shot of the Las Vegas housing tract – because it sets up what seems like an &lt;em&gt;unfair, unanswerable&lt;/em&gt; question: &quot;how many people live there?&quot;

As I try to pin down this visual math aesthetic, I find that the media that interest me the most are the ones that provoke those seemingly unfair, unanswerable questions, which we then answer through estimation, good sense, and mathematics.]]></description>
			<content:encoded><![CDATA[<p>Shoot, <strong>Darren</strong>, good link. Never bothered to click it any of the previous ninety-nine times I&#8217;ve seen it &#8217;cause I thought it was a bunch of shots from deep space or something.</p>
<p>Frankly, I have no idea how to use most of them. There are some interesting &#8220;what shapes do you see here?&#8221; shots, but that question doesn&#8217;t scratch past the surface nine conversations out of ten.</p>
<p>I do love <a href="http://www.boston.com/bigpicture/2009/01/earth_observed.html#photo22" rel="nofollow">this one</a>, though – the shot of the Las Vegas housing tract – because it sets up what seems like an <em>unfair, unanswerable</em> question: &#8220;how many people live there?&#8221;</p>
<p>As I try to pin down this visual math aesthetic, I find that the media that interest me the most are the ones that provoke those seemingly unfair, unanswerable questions, which we then answer through estimation, good sense, and mathematics.</p>
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		<title>
		By: Ben		</title>
		<link>/2009/how-can-we-break-this/#comment-202420</link>

		<dc:creator><![CDATA[Ben]]></dc:creator>
		<pubDate>Fri, 16 Jan 2009 23:59:17 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202420</guid>

					<description><![CDATA[&lt;a href=&quot;http://en.wikipedia.org/wiki/Angular_diameter&quot; rel=&quot;nofollow&quot;&gt;Angular diameter&lt;/a&gt; is banging around my head like a moth around a lampshade. Not sure if this app would be necessary...but a credit card (or just your hand for that matter) would be a useful measurement tool for angular diameter. Might not be a useful measurement for many outside of astronomy, but who knows?]]></description>
			<content:encoded><![CDATA[<p><a href="http://en.wikipedia.org/wiki/Angular_diameter" rel="nofollow">Angular diameter</a> is banging around my head like a moth around a lampshade. Not sure if this app would be necessary&#8230;but a credit card (or just your hand for that matter) would be a useful measurement tool for angular diameter. Might not be a useful measurement for many outside of astronomy, but who knows?</p>
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		<title>
		By: Darren Draper		</title>
		<link>/2009/how-can-we-break-this/#comment-202363</link>

		<dc:creator><![CDATA[Darren Draper]]></dc:creator>
		<pubDate>Fri, 16 Jan 2009 16:24:15 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202363</guid>

					<description><![CDATA[Not sure if you&#039;ve seen this yet, but I see math everywhere here:

http://www.boston.com/bigpicture/2009/01/earth_observed.html

What could you do with these amazing shots?]]></description>
			<content:encoded><![CDATA[<p>Not sure if you&#8217;ve seen this yet, but I see math everywhere here:</p>
<p><a href="http://www.boston.com/bigpicture/2009/01/earth_observed.html" rel="nofollow ugc">http://www.boston.com/bigpicture/2009/01/earth_observed.html</a></p>
<p>What could you do with these amazing shots?</p>
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		<title>
		By: Posts about Apple Hardware as of January 15, 2009 &#124; The Lessnau Lounge		</title>
		<link>/2009/how-can-we-break-this/#comment-202213</link>

		<dc:creator><![CDATA[Posts about Apple Hardware as of January 15, 2009 &#124; The Lessnau Lounge]]></dc:creator>
		<pubDate>Fri, 16 Jan 2009 00:20:30 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202213</guid>

					<description><![CDATA[[...] Computer actually hired him to be in one of their iPod commercials (although the Daft Punk track   How Can We Break This? - blog.mrmeyer.com 01/15/2009 I like this. The iPhone application RulerPhone will measure anything, [...]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] Computer actually hired him to be in one of their iPod commercials (although the Daft Punk track   How Can We Break This? &#8211; blog.mrmeyer.com 01/15/2009 I like this. The iPhone application RulerPhone will measure anything, [&#8230;]</p>
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		<title>
		By: Mr. K.		</title>
		<link>/2009/how-can-we-break-this/#comment-202166</link>

		<dc:creator><![CDATA[Mr. K.]]></dc:creator>
		<pubDate>Thu, 15 Jan 2009 17:50:59 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202166</guid>

					<description><![CDATA[Hah! I&#039;m sure your iPhone wielding kids will be able to find &lt;a href=&quot;http://benkamens/ .com/rulerphone/#idTabTips&quot; rel=&quot;nofollow&quot;&gt;this list&lt;/a&gt; of how to break it. In some ways, I&#039;m impressed by how simple they made it, in others I&#039;d think they could use the computing power in there to compensate for  parallax and perspective.]]></description>
			<content:encoded><![CDATA[<p>Hah! I&#8217;m sure your iPhone wielding kids will be able to find <a href="http://benkamens/ .com/rulerphone/#idTabTips" rel="nofollow">this list</a> of how to break it. In some ways, I&#8217;m impressed by how simple they made it, in others I&#8217;d think they could use the computing power in there to compensate for  parallax and perspective.</p>
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		<title>
		By: Cam Bennet		</title>
		<link>/2009/how-can-we-break-this/#comment-202153</link>

		<dc:creator><![CDATA[Cam Bennet]]></dc:creator>
		<pubDate>Thu, 15 Jan 2009 16:02:00 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202153</guid>

					<description><![CDATA[I agree with your comment about &quot;The Mathematical Skill I&#039;d Most Like My Students To Retain After High School.&quot; It&#039;s amazing how many kids really don&#039;t get this. I teach high school Physics and so many do not &quot;get&quot; ratio&#039;s. The other skill that I&#039;d like them to retain is percentages. (which of course is really a form of a ratio, but I won&#039;t confuse the kids with that.]]></description>
			<content:encoded><![CDATA[<p>I agree with your comment about &#8220;The Mathematical Skill I&#8217;d Most Like My Students To Retain After High School.&#8221; It&#8217;s amazing how many kids really don&#8217;t get this. I teach high school Physics and so many do not &#8220;get&#8221; ratio&#8217;s. The other skill that I&#8217;d like them to retain is percentages. (which of course is really a form of a ratio, but I won&#8217;t confuse the kids with that.</p>
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		<title>
		By: Steven Peters		</title>
		<link>/2009/how-can-we-break-this/#comment-202138</link>

		<dc:creator><![CDATA[Steven Peters]]></dc:creator>
		<pubDate>Thu, 15 Jan 2009 13:56:30 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202138</guid>

					<description><![CDATA[You can throw off the measurement slightly if the credit card isn&#039;t perpendicular to the camera or it&#039;s at a different distance from the camera than the object you&#039;re measuring.  Then there&#039;s also the trick where you get a 3 foot long credit card and pretend you&#039;re in Honey I Shrunk the Educational Blogger.]]></description>
			<content:encoded><![CDATA[<p>You can throw off the measurement slightly if the credit card isn&#8217;t perpendicular to the camera or it&#8217;s at a different distance from the camera than the object you&#8217;re measuring.  Then there&#8217;s also the trick where you get a 3 foot long credit card and pretend you&#8217;re in Honey I Shrunk the Educational Blogger.</p>
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		<title>
		By: dy/dan &#187; Blog Archive &#187; What Can You Do With This: The Bone Collector		</title>
		<link>/2009/how-can-we-break-this/#comment-202091</link>

		<dc:creator><![CDATA[dy/dan &#187; Blog Archive &#187; What Can You Do With This: The Bone Collector]]></dc:creator>
		<pubDate>Thu, 15 Jan 2009 07:12:56 +0000</pubDate>
		<guid isPermaLink="false">/?p=2783#comment-202091</guid>

					<description><![CDATA[[...] BTW: The application RulerPhone ties into this nicely. More here. [...]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] BTW: The application RulerPhone ties into this nicely. More here. [&#8230;]</p>
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