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	<title>Comments on: Using chocolate to teach&#160;calculus</title>
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	<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html</link>
	<description>Brain candy for Happy Mutants</description>
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	<item>
		<title>By: James French</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1243347</link>
		<dc:creator>James French</dc:creator>
		<pubDate>Fri, 14 Oct 2011 19:34:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1243347</guid>
		<description>The approximation would be much more accurate if we counted the tiles that have an apparent majority of their area inside the curve.</description>
		<content:encoded><![CDATA[<p>The approximation would be much more accurate if we counted the tiles that have an apparent majority of their area inside the curve.</p>
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	<item>
		<title>By: robotnik</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1242812</link>
		<dc:creator>robotnik</dc:creator>
		<pubDate>Fri, 14 Oct 2011 06:47:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1242812</guid>
		<description>When you think of the other definition of calculus, this is pretty damned funny.</description>
		<content:encoded><![CDATA[<p>When you think of the other definition of calculus, this is pretty damned funny.</p>
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	<item>
		<title>By: Shinkuhadoken</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1242400</link>
		<dc:creator>Shinkuhadoken</dc:creator>
		<pubDate>Thu, 13 Oct 2011 20:27:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1242400</guid>
		<description>I tried this method out, but I seem to encounter an error whereby my 
calculations are increasingly off by about 1 every 30 seconds.

*munch*munch*

Wonder why that is?

*munch*munch*</description>
		<content:encoded><![CDATA[<p>I tried this method out, but I seem to encounter an error whereby my<br />
calculations are increasingly off by about 1 every 30 seconds.</p>
<p>*munch*munch*</p>
<p>Wonder why that is?</p>
<p>*munch*munch*</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Alfangelo Hickey</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1242290</link>
		<dc:creator>Alfangelo Hickey</dc:creator>
		<pubDate>Thu, 13 Oct 2011 18:42:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1242290</guid>
		<description>man this trumps domino computing 
</description>
		<content:encoded><![CDATA[<p>man this trumps domino computing </p>
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	</item>
	<item>
		<title>By: Craig Tovey</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1242074</link>
		<dc:creator>Craig Tovey</dc:creator>
		<pubDate>Thu, 13 Oct 2011 15:37:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1242074</guid>
		<description>It is cute, but it isn&#039;t calculus.  I can&#039;t think of a good use of chocolate for teaching calculus, except as an incentive.  However, this chocolate idea is great for teaching both geometry and algebra.  You can derive  formulas for the areas of various geometric shapes such as squares, rectangles,  rhombi, trapezoids, and triangles using chocolate chips.  If you are brave you could derive formulas for  some 3D shapes such as pyramids.  You can also derive algebraic formulas such as the sum of the first k integers equals k(k+1)/2 and x^2-1=(x+1)(x-1) by rearranging chocolate chips.  There is a wonderful book called &quot;Proofs Without Words&quot; available from the American Math Association.  Many of its proofs could be done with chocolate.
--CAT</description>
		<content:encoded><![CDATA[<p>It is cute, but it isn&#8217;t calculus.  I can&#8217;t think of a good use of chocolate for teaching calculus, except as an incentive.  However, this chocolate idea is great for teaching both geometry and algebra.  You can derive  formulas for the areas of various geometric shapes such as squares, rectangles,  rhombi, trapezoids, and triangles using chocolate chips.  If you are brave you could derive formulas for  some 3D shapes such as pyramids.  You can also derive algebraic formulas such as the sum of the first k integers equals k(k+1)/2 and x^2-1=(x+1)(x-1) by rearranging chocolate chips.  There is a wonderful book called &#8220;Proofs Without Words&#8221; available from the American Math Association.  Many of its proofs could be done with chocolate.<br />
&#8211;CAT</p>
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	<item>
		<title>By: narddogz</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241601</link>
		<dc:creator>narddogz</dc:creator>
		<pubDate>Thu, 13 Oct 2011 03:52:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241601</guid>
		<description>Wow...

Connect Four looks much more complicated here than how I remember it as a kid.</description>
		<content:encoded><![CDATA[<p>Wow&#8230;</p>
<p>Connect Four looks much more complicated here than how I remember it as a kid.</p>
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	<item>
		<title>By: moonxie</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241380</link>
		<dc:creator>moonxie</dc:creator>
		<pubDate>Wed, 12 Oct 2011 23:57:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241380</guid>
		<description>Ah, the days when we used to learn the chain rule with peanut M&amp;Ms. </description>
		<content:encoded><![CDATA[<p>Ah, the days when we used to learn the chain rule with peanut M&amp;Ms. </p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Emanon Suomynona</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241203</link>
		<dc:creator>Emanon Suomynona</dc:creator>
		<pubDate>Wed, 12 Oct 2011 21:57:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241203</guid>
		<description>what a delicious way to teach.</description>
		<content:encoded><![CDATA[<p>what a delicious way to teach.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Guest</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241049</link>
		<dc:creator>Guest</dc:creator>
		<pubDate>Wed, 12 Oct 2011 20:19:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241049</guid>
		<description>Oh no, that chocolate would never remain on the board unmolested long enough to work out any calculus problems.   &#039;Where&#039;s the chocolate?&#039;  Indeed.</description>
		<content:encoded><![CDATA[<p>Oh no, that chocolate would never remain on the board unmolested long enough to work out any calculus problems.   &#8216;Where&#8217;s the chocolate?&#8217;  Indeed.</p>
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	<item>
		<title>By: Robert Cruickshank</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241011</link>
		<dc:creator>Robert Cruickshank</dc:creator>
		<pubDate>Wed, 12 Oct 2011 19:54:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241011</guid>
		<description>Your next assignment is to use thousands of little tablets to find the value of &lt;i&gt;e&lt;/i&gt;.  </description>
		<content:encoded><![CDATA[<p>Your next assignment is to use thousands of little tablets to find the value of <i>e</i>.  </p>
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	<item>
		<title>By: retchdog</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241008</link>
		<dc:creator>retchdog</dc:creator>
		<pubDate>Wed, 12 Oct 2011 19:52:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241008</guid>
		<description>it&#039;s not monte carlo since it&#039;s not random. the phrase you&#039;re looking for is &quot;discrete approximation&quot;.

as a surly academic, i want to hate this, but i really can&#039;t. it&#039;s a decent demonstration of taking limits and it would probably get some attention which otherwise would have been dissipated. if you had a lot of time and chocolates of various sizes, you could even hint at fractal dimension.</description>
		<content:encoded><![CDATA[<p>it&#8217;s not monte carlo since it&#8217;s not random. the phrase you&#8217;re looking for is &#8220;discrete approximation&#8221;.</p>
<p>as a surly academic, i want to hate this, but i really can&#8217;t. it&#8217;s a decent demonstration of taking limits and it would probably get some attention which otherwise would have been dissipated. if you had a lot of time and chocolates of various sizes, you could even hint at fractal dimension.</p>
]]></content:encoded>
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	<item>
		<title>By: awjt</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1241009</link>
		<dc:creator>awjt</dc:creator>
		<pubDate>Wed, 12 Oct 2011 19:52:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1241009</guid>
		<description>Personally, I don&#039;t like the definition that a square with ANY part of the curve is given to white chocolate.  I feel that the dark chocolate should have those.  Yes, I am in favor of Manifest Destiny, but ONLY for dark chocolate.</description>
		<content:encoded><![CDATA[<p>Personally, I don&#8217;t like the definition that a square with ANY part of the curve is given to white chocolate.  I feel that the dark chocolate should have those.  Yes, I am in favor of Manifest Destiny, but ONLY for dark chocolate.</p>
]]></content:encoded>
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	<item>
		<title>By: Thunder Shiviah</title>
		<link>http://boingboing.net/2011/10/12/using-chocolate-to-teach-calculus.html#comment-1240990</link>
		<dc:creator>Thunder Shiviah</dc:creator>
		<pubDate>Wed, 12 Oct 2011 19:36:00 +0000</pubDate>
		<guid isPermaLink="false">http://boingboing.net/?p=122992#comment-1240990</guid>
		<description>Seems more like an example of the monte carlo method to me...</description>
		<content:encoded><![CDATA[<p>Seems more like an example of the monte carlo method to me&#8230;</p>
]]></content:encoded>
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