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	<title>Reflections on Teaching &#187; mathematics</title>
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		<title>Live Blog of Day 3 at ILC</title>
		<link>http://mizmercer.edublogs.org/2008/10/16/live-blog-of-day-3-at-ilc/</link>
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		<pubDate>Thu, 16 Oct 2008 15:59:00 +0000</pubDate>
		<dc:creator>alicemercer</dc:creator>
				<category><![CDATA[conferences]]></category>
		<category><![CDATA[ilc08]]></category>
		<category><![CDATA[ilc2008]]></category>
		<category><![CDATA[mathematics]]></category>
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		<title>What&#8217;s the &#8220;whole&#8221; point?</title>
		<link>http://mizmercer.edublogs.org/2008/02/12/whats-the-whole-point/</link>
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		<pubDate>Tue, 12 Feb 2008 08:57:37 +0000</pubDate>
		<dc:creator>alicemercer</dc:creator>
				<category><![CDATA[practice/pedagogy]]></category>
		<category><![CDATA[reflection]]></category>
		<category><![CDATA[elementary]]></category>
		<category><![CDATA[fractions]]></category>
		<category><![CDATA[mathematics]]></category>
		<category><![CDATA[piefractions]]></category>

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Pi Pie on Flickr!
Nope, not something else about Web 2.0, technology in education, etc. just a simple observation about mathematics instruction in elementary schools in this country. One training I went to where the trainer described a Chinese educator&#8217;s consternation with America&#8217;s over-reliance on pies for fraction education (&#8221;too much round-food&#8221; was the quote).
I&#8217;ve run [...]]]></description>
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<a href="http://flickr.com/photos/megpi/861969/"><sub>Pi Pie on Flickr!</sub></a></p>
<p>Nope, not something else about Web 2.0, technology in education, etc. just a simple observation about mathematics instruction in elementary schools in this country. One training I went to where the trainer described a Chinese educator&#8217;s consternation with America&#8217;s over-reliance on pies for fraction education (&#8221;too much round-food&#8221; was the quote).</p>
<p>I&#8217;ve run across this both in teaching fifth graders and in helping my fourth grade son with homework. Here is a classic example of how this goes wrong:</p>
<p><a href="http://mizmercer.edublogs.org/files/2008/02/mathleroy.JPG" title="mathleroy.JPG"><img src="http://mizmercer.edublogs.org/files/2008/02/mathleroy.JPG" alt="mathleroy.JPG" width="500" /></a></p>
<p>See the problems always ask the kids to &#8220;draw&#8221; a pie chart to compare the two fractions. As you can see, my son has poor drafting skills, so the pies are not equal, and the sections aren&#8217;t either. He&#8217;s comparing apples and oranges. I think the mistake we&#8217;re making is by first acting like the &#8220;wholes&#8221; of fractions being compared are equal, and then assuming when kids draw them, they are equal. I believe this is one of the antecedents of some of the crappy pie charts that get created in PowerPoint, where the context of whole is skewed or missing (I&#8217;m thinking of one that I made-check out <a href="http://www.slideshare.net/mizmercer/the-water-cycle-and-weather" target="_blank">slide 3</a>).</p>
<p>What are your thoughts?</p>
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