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	<title>Comments on: Some thoughts on math</title>
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	<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html</link>
	<description>Technology, leadership, and the future of schools</description>
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		<title>By: Matthew K. Tabor</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13168</link>
		<dc:creator>Matthew K. Tabor</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13168</guid>
		<description>There seems to be a dearth of links/quotes that represent the other side of the debate. Let me know if you need any.
</description>
		<content:encoded><![CDATA[<p>There seems to be a dearth of links/quotes that represent the other side of the debate. Let me know if you need any.</p>
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		<title>By: Scott McLeod</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13169</link>
		<dc:creator>Scott McLeod</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13169</guid>
		<description>Matthew, absolutely. I just thought these two were interesting. Send &#039;em my way (or, better yet, blog about them and link to this post)!
</description>
		<content:encoded><![CDATA[<p>Matthew, absolutely. I just thought these two were interesting. Send &#8216;em my way (or, better yet, blog about them and link to this post)!</p>
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		<title>By: Gary S. Stager, Ph.D.</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13170</link>
		<dc:creator>Gary S. Stager, Ph.D.</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13170</guid>
		<description>Wow!

Apparently Mr. Tabor is an expert on all subjects, mathematics learning as well.

Perhaps he should disagree with Dr. Thornburg or Dr. Schank on The Pulse where their original articles reside.

I look forward to his proof that algebra is connected to GDP.
</description>
		<content:encoded><![CDATA[<p>Wow!</p>
<p>Apparently Mr. Tabor is an expert on all subjects, mathematics learning as well.</p>
<p>Perhaps he should disagree with Dr. Thornburg or Dr. Schank on The Pulse where their original articles reside.</p>
<p>I look forward to his proof that algebra is connected to GDP.</p>
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		<title>By: Matthew K. Tabor</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13171</link>
		<dc:creator>Matthew K. Tabor</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13171</guid>
		<description>Gary,

Thanks for the kind words - I&#039;m pleased that you&#039;ve recognized all that I have to offer. I lament that it came so late in the education debate, but I&#039;ll let bygones be bygones. Let&#039;s move forward.

When I made my comment, I meant that I&#039;d cull some of the better relevant bits so we could see the arguments on both sides. I didn&#039;t suggest that I&#039;d write them myself.

Swing-and-a-miss, Gary.
</description>
		<content:encoded><![CDATA[<p>Gary,</p>
<p>Thanks for the kind words &#8211; I&#8217;m pleased that you&#8217;ve recognized all that I have to offer. I lament that it came so late in the education debate, but I&#8217;ll let bygones be bygones. Let&#8217;s move forward.</p>
<p>When I made my comment, I meant that I&#8217;d cull some of the better relevant bits so we could see the arguments on both sides. I didn&#8217;t suggest that I&#8217;d write them myself.</p>
<p>Swing-and-a-miss, Gary.</p>
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		<title>By: Brian</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13172</link>
		<dc:creator>Brian</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13172</guid>
		<description>Swing-and-a-miss, indeed, Gary.
</description>
		<content:encoded><![CDATA[<p>Swing-and-a-miss, indeed, Gary.</p>
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		<title>By: Leesh</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13173</link>
		<dc:creator>Leesh</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13173</guid>
		<description>I think that he is missing a lot of what the basis of mathematics gives students.  A lot of students don&#039;t realize how much math they do on a daily basis; just because they don&#039;t specifically need or remember everything they do in Algebra II, doesn&#039;t mean its not going to help them latter on in life.  It is merely the building a foundation of mathematics, which they will use throughout their entire life.
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		<content:encoded><![CDATA[<p>I think that he is missing a lot of what the basis of mathematics gives students.  A lot of students don&#8217;t realize how much math they do on a daily basis; just because they don&#8217;t specifically need or remember everything they do in Algebra II, doesn&#8217;t mean its not going to help them latter on in life.  It is merely the building a foundation of mathematics, which they will use throughout their entire life.</p>
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		<title>By: Jason Dyer</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13174</link>
		<dc:creator>Jason Dyer</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13174</guid>
		<description>I&#039;m perhaps not the best to counterargue -- I use quite a bit of constructivism in my teaching, and work with an all-constructivism program in the summer. Two points though:

1. &quot;Connections with work&quot; is not the only way to make grab students -- presenting a piece as an exploratory puzzle rather than some raw procedure can work just as well. Many attempts at incorporation of real-life context are very forced, and frustrate more than interest the students who have to deal with a &quot;word problem&quot;.

2. Some topics are scaffolds. Today in my class we are throwing around wads of paper and timing them, then using parametric equations with the quadratic formula to work out their velocity. While this is a &quot;real-life&quot; use of the quadratic formula, it can&#039;t really be taught simultaneously -- the lesson is simply using what was already learned. It&#039;s like the Karate Kid not understanding wax-on, wax-off; eventually there *is* a payoff, and it can&#039;t always be rushed in.
</description>
		<content:encoded><![CDATA[<p>I&#8217;m perhaps not the best to counterargue &#8212; I use quite a bit of constructivism in my teaching, and work with an all-constructivism program in the summer. Two points though:</p>
<p>1. &#8220;Connections with work&#8221; is not the only way to make grab students &#8212; presenting a piece as an exploratory puzzle rather than some raw procedure can work just as well. Many attempts at incorporation of real-life context are very forced, and frustrate more than interest the students who have to deal with a &#8220;word problem&#8221;.</p>
<p>2. Some topics are scaffolds. Today in my class we are throwing around wads of paper and timing them, then using parametric equations with the quadratic formula to work out their velocity. While this is a &#8220;real-life&#8221; use of the quadratic formula, it can&#8217;t really be taught simultaneously &#8212; the lesson is simply using what was already learned. It&#8217;s like the Karate Kid not understanding wax-on, wax-off; eventually there *is* a payoff, and it can&#8217;t always be rushed in.</p>
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		<title>By: Cheston</title>
		<link>http://dangerouslyirrelevant.org/2008/03/some-thoughts-o.html/comment-page-1#comment-13175</link>
		<dc:creator>Cheston</dc:creator>
		<pubDate>Tue, 30 Nov 1999 05:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://annahein.com/2008/03/some-thoughts-o.html#comment-13175</guid>
		<description>Very interesting discussion I am a inspiring math major at GVSU and I headed towards an education degree.  When I go to ask for help from my friends or from other educators (friends) and math is not their majors.  They look at me as if I was speaking Spanish! So I agree with your statement that nobody knows/cares about math in  their adult life.
</description>
		<content:encoded><![CDATA[<p>Very interesting discussion I am a inspiring math major at GVSU and I headed towards an education degree.  When I go to ask for help from my friends or from other educators (friends) and math is not their majors.  They look at me as if I was speaking Spanish! So I agree with your statement that nobody knows/cares about math in  their adult life.</p>
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