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	Comments on: Algebra A &#8211; Week 1 &#8211; 2007	</title>
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	<description>less helpful</description>
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		<title>
		By: dan		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-28389</link>

		<dc:creator><![CDATA[dan]]></dc:creator>
		<pubDate>Fri, 26 Oct 2007 00:58:54 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-28389</guid>

					<description><![CDATA[Nice. Glad it helped.  *makes mental note to up the rigor for his &lt;em&gt;high school&lt;/em&gt; students*]]></description>
			<content:encoded><![CDATA[<p>Nice. Glad it helped.  *makes mental note to up the rigor for his <em>high school</em> students*</p>
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		<title>
		By: Matt		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-28352</link>

		<dc:creator><![CDATA[Matt]]></dc:creator>
		<pubDate>Thu, 25 Oct 2007 21:55:03 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-28352</guid>

					<description><![CDATA[I gave your sheet &quot;Evaluating Expressions sampler&quot; to my fourth graders today as we were learning about variables. I just made a few tiny changes, but left it almost completely intact. They were completely motivated when I told them that it was high school work. And many were able to complete it correctly.

I told them that I would tell you!

Thanks.]]></description>
			<content:encoded><![CDATA[<p>I gave your sheet &#8220;Evaluating Expressions sampler&#8221; to my fourth graders today as we were learning about variables. I just made a few tiny changes, but left it almost completely intact. They were completely motivated when I told them that it was high school work. And many were able to complete it correctly.</p>
<p>I told them that I would tell you!</p>
<p>Thanks.</p>
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		<title>
		By: Taylor the Teacher		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18532</link>

		<dc:creator><![CDATA[Taylor the Teacher]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 16:26:24 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18532</guid>

					<description><![CDATA[Although I have to confess to skipping some of the math-y stuff, I love your language analogy for teaching math. This exactly what we should all be doing -- interdisciplinary thinking. 

I am feeling chastised for not applying more math in the teaching of grammar, which I know certain math brains can do. Some students like the grammar parts of English class because it&#039;s more rule-based. It&#039;s not as rule-based as math, or half as rule based as we English teachers make it out to be, but for the kid with a math brain it can really help them with English. 

Unfortunately, I&#039;m not math brained enough myself to cook those lessons up.

Taylor]]></description>
			<content:encoded><![CDATA[<p>Although I have to confess to skipping some of the math-y stuff, I love your language analogy for teaching math. This exactly what we should all be doing &#8212; interdisciplinary thinking. </p>
<p>I am feeling chastised for not applying more math in the teaching of grammar, which I know certain math brains can do. Some students like the grammar parts of English class because it&#8217;s more rule-based. It&#8217;s not as rule-based as math, or half as rule based as we English teachers make it out to be, but for the kid with a math brain it can really help them with English. </p>
<p>Unfortunately, I&#8217;m not math brained enough myself to cook those lessons up.</p>
<p>Taylor</p>
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		<title>
		By: dan		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18527</link>

		<dc:creator><![CDATA[dan]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 16:08:54 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18527</guid>

					<description><![CDATA[&lt;strong&gt;Tony&lt;/strong&gt;, I teach rote memorization.

I don&#039;t know what to say in my defense.

There&#039;s something going on in my head at all times, though, wondering just how strictly to teach these things, &#039;cause the closer I hew to the book&#039;s definition of (e.g.) planes (&quot;a surface such that, given any two distinct points on the surface, the surface also contains the unique straight line that passes through those points.&quot;) and the deeper I push into abstraction, the more kids I lose.  I make math more familiar at the expense of a &lt;em&gt;lot&lt;/em&gt; of good formal learning.  Someday, at the pearly gates of mathematics, I&#039;ll have to answer for that, I&#039;m sure.

I mean, I lie awake at nights sometimes over it, but I tell &#039;em planes are a like a sheet of plywood that&#039;s as thin as you can cut it and runs on forever in every direction and I teach &#039;em that multiplying negatives just works like that.

And then I jump into application as soon as possible.]]></description>
			<content:encoded><![CDATA[<p><strong>Tony</strong>, I teach rote memorization.</p>
<p>I don&#8217;t know what to say in my defense.</p>
<p>There&#8217;s something going on in my head at all times, though, wondering just how strictly to teach these things, &#8217;cause the closer I hew to the book&#8217;s definition of (e.g.) planes (&#8220;a surface such that, given any two distinct points on the surface, the surface also contains the unique straight line that passes through those points.&#8221;) and the deeper I push into abstraction, the more kids I lose.  I make math more familiar at the expense of a <em>lot</em> of good formal learning.  Someday, at the pearly gates of mathematics, I&#8217;ll have to answer for that, I&#8217;m sure.</p>
<p>I mean, I lie awake at nights sometimes over it, but I tell &#8217;em planes are a like a sheet of plywood that&#8217;s as thin as you can cut it and runs on forever in every direction and I teach &#8217;em that multiplying negatives just works like that.</p>
<p>And then I jump into application as soon as possible.</p>
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		<title>
		By: A. Mercer		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18523</link>

		<dc:creator><![CDATA[A. Mercer]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 15:32:02 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18523</guid>

					<description><![CDATA[Nice to see that whiteboards in Mathematics is not just for elementary anymore...

Sad to see some of the stuff used in PRIMARY (using dingbat symbols to intro variables) have to be reused in high school because the kids never got comfortable with letter variables. ARGHHHHHHH!]]></description>
			<content:encoded><![CDATA[<p>Nice to see that whiteboards in Mathematics is not just for elementary anymore&#8230;</p>
<p>Sad to see some of the stuff used in PRIMARY (using dingbat symbols to intro variables) have to be reused in high school because the kids never got comfortable with letter variables. ARGHHHHHHH!</p>
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		<title>
		By: What Occured To Mathematics? Guardian.. Cass &#38; Frankie&#8211;I&#8217;m.. &#187; Science Discoveries . net		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18501</link>

		<dc:creator><![CDATA[What Occured To Mathematics? Guardian.. Cass &#38; Frankie&#8211;I&#8217;m.. &#187; Science Discoveries . net]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 13:21:41 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18501</guid>

					<description><![CDATA[[...] Algebra A - Week 1 - 2007 I feel like teaching algebra well to a bunch of young kids predisposed against mathematics is the most accurate measure of my worth as a teacher. Maybe as a hard-working human being. One of the hardest things I&#8217;ve ever tried and failed &#8230; [...]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] Algebra A &#8211; Week 1 &#8211; 2007 I feel like teaching algebra well to a bunch of young kids predisposed against mathematics is the most accurate measure of my worth as a teacher. Maybe as a hard-working human being. One of the hardest things I&#8217;ve ever tried and failed &#8230; [&#8230;]</p>
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		<title>
		By: Jackie		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18493</link>

		<dc:creator><![CDATA[Jackie]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 12:49:58 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18493</guid>

					<description><![CDATA[Tony,

I&#039;ve seen one example (in the IMP curriculum) hot &#038; cold cubes.   
So for (-3) * (-5)
If one takes away three groups of five cold cubes, the net temp. change is an increase of 15 degrees.

Some kids seem to understand this, some just rely on prior memorized knowledge.]]></description>
			<content:encoded><![CDATA[<p>Tony,</p>
<p>I&#8217;ve seen one example (in the IMP curriculum) hot &amp; cold cubes.<br />
So for (-3) * (-5)<br />
If one takes away three groups of five cold cubes, the net temp. change is an increase of 15 degrees.</p>
<p>Some kids seem to understand this, some just rely on prior memorized knowledge.</p>
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		<title>
		By: Tony Lucchese		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18487</link>

		<dc:creator><![CDATA[Tony Lucchese]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 11:12:59 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18487</guid>

					<description><![CDATA[Correction:  First example should read &quot;negative times positive.&quot;]]></description>
			<content:encoded><![CDATA[<p>Correction:  First example should read &#8220;negative times positive.&#8221;</p>
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		<title>
		By: Tony Lucchese		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18486</link>

		<dc:creator><![CDATA[Tony Lucchese]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 11:12:00 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18486</guid>

					<description><![CDATA[When discussing multiplication with negatives, how much explanation do you use?  Your football scenario provides an easy example of negative times negative with the application of say two 15-yard penalties.  I&#039;m sure students would intuitively &quot;get&quot; that.  But negative times negative really only equals positive to avoid breaking the distributive property.  Do you explain this convention, or just ask for rote memorization?  Is there a concrete example that helps them remember?]]></description>
			<content:encoded><![CDATA[<p>When discussing multiplication with negatives, how much explanation do you use?  Your football scenario provides an easy example of negative times negative with the application of say two 15-yard penalties.  I&#8217;m sure students would intuitively &#8220;get&#8221; that.  But negative times negative really only equals positive to avoid breaking the distributive property.  Do you explain this convention, or just ask for rote memorization?  Is there a concrete example that helps them remember?</p>
]]></content:encoded>
		
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		<title>
		By: dan		</title>
		<link>/2007/algebra-a-week-1-2007/#comment-18423</link>

		<dc:creator><![CDATA[dan]]></dc:creator>
		<pubDate>Mon, 03 Sep 2007 02:01:18 +0000</pubDate>
		<guid isPermaLink="false">/?p=357#comment-18423</guid>

					<description><![CDATA[Agh.  I lose.  All around.  Sorrier for you, though.]]></description>
			<content:encoded><![CDATA[<p>Agh.  I lose.  All around.  Sorrier for you, though.</p>
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