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	<title>Comments on: Teaching Algebra, or Banging Your Head With a Whiteboard</title>
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	<description>No Dewey-eyed dreamers here</description>
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		<title>By: Most Popular Posts and Favorites &#124; educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-2829</link>
		<dc:creator><![CDATA[Most Popular Posts and Favorites &#124; educationrealist]]></dc:creator>
		<pubDate>Mon, 06 May 2013 01:27:08 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-2829</guid>
		<description><![CDATA[[...] Teaching Algebra, or Banging Your Head With a&#160;Whiteboard [...]]]></description>
		<content:encoded><![CDATA[<p>[...] Teaching Algebra, or Banging Your Head With a&nbsp;Whiteboard [...]</p>
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		<title>By: Ron Jones</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-2728</link>
		<dc:creator><![CDATA[Ron Jones]]></dc:creator>
		<pubDate>Sun, 28 Apr 2013 01:20:26 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-2728</guid>
		<description><![CDATA[Show slope dude from you tube over and over until they beg you not to show it again. Rise up run out is another I show over and over until the students start saying ok now I understand! I introduce, insert in the middle, and finish with good youtube songs for most topics and it works!!!! Repetition in disguise.]]></description>
		<content:encoded><![CDATA[<p>Show slope dude from you tube over and over until they beg you not to show it again. Rise up run out is another I show over and over until the students start saying ok now I understand! I introduce, insert in the middle, and finish with good youtube songs for most topics and it works!!!! Repetition in disguise.</p>
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		<title>By: Algebra 1 Growth in Geometry and Algebra II &#171; educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-1734</link>
		<dc:creator><![CDATA[Algebra 1 Growth in Geometry and Algebra II &#171; educationrealist]]></dc:creator>
		<pubDate>Sun, 27 Jan 2013 00:21:00 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-1734</guid>
		<description><![CDATA[[...] are clubbing orphan seals and making baby Jesus cry when you forget the middle term&#8221; while banging myself on the head with a whiteboard. And some of them just forgot [...]]]></description>
		<content:encoded><![CDATA[<p>[...] are clubbing orphan seals and making baby Jesus cry when you forget the middle term&#8221; while banging myself on the head with a whiteboard. And some of them just forgot [...]</p>
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	<item>
		<title>By: 2012 in review &#171; educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-1453</link>
		<dc:creator><![CDATA[2012 in review &#171; educationrealist]]></dc:creator>
		<pubDate>Wed, 02 Jan 2013 02:36:59 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-1453</guid>
		<description><![CDATA[[...] These were all very slow months, primarily because I didn&#8217;t take on hot topics and talked mostly about teaching. No big posts, but I&#8217;m very happy with the method outlined in Teaching Trig, and thought this post on induction and its crappiness was good. My History of Elizabethan Theater I, II, and III are worth a read, too. I only wrote 4 posts in May, because I was focusing on a piece I wrote under my own name, but this piece is a lot of fun: Teaching Algebra, or Banging Your Head With a Whiteboard. [...]]]></description>
		<content:encoded><![CDATA[<p>[...] These were all very slow months, primarily because I didn&#8217;t take on hot topics and talked mostly about teaching. No big posts, but I&#8217;m very happy with the method outlined in Teaching Trig, and thought this post on induction and its crappiness was good. My History of Elizabethan Theater I, II, and III are worth a read, too. I only wrote 4 posts in May, because I was focusing on a piece I wrote under my own name, but this piece is a lot of fun: Teaching Algebra, or Banging Your Head With a Whiteboard. [...]</p>
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		<title>By: 100 Posts &#171; educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-1009</link>
		<dc:creator><![CDATA[100 Posts &#171; educationrealist]]></dc:creator>
		<pubDate>Sat, 27 Oct 2012 21:30:59 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-1009</guid>
		<description><![CDATA[[...] pieces that are regularly linked to or used as references by teachers: Modeling Linear Equations, Teaching Algebra, or Banging Your Head with a Whiteboard, and Teaching [...]]]></description>
		<content:encoded><![CDATA[<p>[...] pieces that are regularly linked to or used as references by teachers: Modeling Linear Equations, Teaching Algebra, or Banging Your Head with a Whiteboard, and Teaching [...]</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-935</link>
		<dc:creator><![CDATA[educationrealist]]></dc:creator>
		<pubDate>Wed, 10 Oct 2012 17:03:30 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-935</guid>
		<description><![CDATA[They ignore it for all. I&#039;m convinced they do it to make me crazy. It&#039;s not just the squares, it&#039;s everything. And I teach the generic rectangle method; I have been known to just draw the rectangle on the board and look ferociously at the students at the beginning of a test. 

Glad you liked the methods! You may want to read up on the modeling work I did; it&#039;s been very effective at helping kids retain linear equation concepts. Even if they get the slope direction wrong. (sob)]]></description>
		<content:encoded><![CDATA[<p>They ignore it for all. I&#8217;m convinced they do it to make me crazy. It&#8217;s not just the squares, it&#8217;s everything. And I teach the generic rectangle method; I have been known to just draw the rectangle on the board and look ferociously at the students at the beginning of a test. </p>
<p>Glad you liked the methods! You may want to read up on the modeling work I did; it&#8217;s been very effective at helping kids retain linear equation concepts. Even if they get the slope direction wrong. (sob)</p>
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		<title>By: Jean Mitchell</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-931</link>
		<dc:creator><![CDATA[Jean Mitchell]]></dc:creator>
		<pubDate>Wed, 10 Oct 2012 15:47:03 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-931</guid>
		<description><![CDATA[I&#039;m coming late to the conversation, but I enjoyed your rant, and plan to crib some of your ideas for my students (I teach math methods in a teacher ed program.)  

I have a speculation about why the kids do x^2 + 9 for (x + 3)^2.  Assuming they don&#039;t leave out the middle term when they see something like (x + 4)(x + 7), which you didn&#039;t discuss.  If that&#039;s the case--I bet they are doing the above because they only see one binomial, with an exponent.  I&#039;d try making them write out both binomials when they see a binomial squared, before doing anything else, and then multiply just like they do with any binomial times a binomial, no shortcuts, no doing it in your head.  With some kids, out of sight is out of mind, if I don&#039;t see it it isn&#039;t there, so the idea is to make it visible first.  

Of course, if they ignore middle terms for all binomials, this won&#039;t work.]]></description>
		<content:encoded><![CDATA[<p>I&#8217;m coming late to the conversation, but I enjoyed your rant, and plan to crib some of your ideas for my students (I teach math methods in a teacher ed program.)  </p>
<p>I have a speculation about why the kids do x^2 + 9 for (x + 3)^2.  Assuming they don&#8217;t leave out the middle term when they see something like (x + 4)(x + 7), which you didn&#8217;t discuss.  If that&#8217;s the case&#8211;I bet they are doing the above because they only see one binomial, with an exponent.  I&#8217;d try making them write out both binomials when they see a binomial squared, before doing anything else, and then multiply just like they do with any binomial times a binomial, no shortcuts, no doing it in your head.  With some kids, out of sight is out of mind, if I don&#8217;t see it it isn&#8217;t there, so the idea is to make it visible first.  </p>
<p>Of course, if they ignore middle terms for all binomials, this won&#8217;t work.</p>
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		<title>By: educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-325</link>
		<dc:creator><![CDATA[educationrealist]]></dc:creator>
		<pubDate>Thu, 05 Jul 2012 05:43:25 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-325</guid>
		<description><![CDATA[Just a typo on my part. I&#039;ll fix. When I&#039;m in rant mode, things happen.]]></description>
		<content:encoded><![CDATA[<p>Just a typo on my part. I&#8217;ll fix. When I&#8217;m in rant mode, things happen.</p>
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		<title>By: Aditya Liviandi</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-324</link>
		<dc:creator><![CDATA[Aditya Liviandi]]></dc:creator>
		<pubDate>Thu, 05 Jul 2012 05:06:07 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-324</guid>
		<description><![CDATA[Last week I gave my kids a geometry test and one of the questions was: A right triangle has sides of [square root of x] and (x-3). You are going to use these terms in the Pythagorean theorem to solve for x (along with the hypotenuse, which I’ll give you in the next question). After you square both sides and combine like terms, what will you end up with?

BOTH CLASSES. Every single kid (except the top 6 students, who took a different test) took x2 + 7x + 9, meaning that they squared (x + 3) and got x2 + 9. WHY? WHY? WHY?

********************************************************************************************

I&#039;m super confused by the above.

The sides are (x-3) and sqrt(x)? how did (x+3) appear in the next paragraph? what about the x^2 + 7x + 9? Where is that from?]]></description>
		<content:encoded><![CDATA[<p>Last week I gave my kids a geometry test and one of the questions was: A right triangle has sides of [square root of x] and (x-3). You are going to use these terms in the Pythagorean theorem to solve for x (along with the hypotenuse, which I’ll give you in the next question). After you square both sides and combine like terms, what will you end up with?</p>
<p>BOTH CLASSES. Every single kid (except the top 6 students, who took a different test) took x2 + 7x + 9, meaning that they squared (x + 3) and got x2 + 9. WHY? WHY? WHY?</p>
<p>********************************************************************************************</p>
<p>I&#8217;m super confused by the above.</p>
<p>The sides are (x-3) and sqrt(x)? how did (x+3) appear in the next paragraph? what about the x^2 + 7x + 9? Where is that from?</p>
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		<title>By: What I Learned: Year 2 &#171; educationrealist</title>
		<link>http://educationrealist.wordpress.com/2012/05/21/teaching-algebra-or-banging-your-head-with-a-whiteboard/#comment-259</link>
		<dc:creator><![CDATA[What I Learned: Year 2 &#171; educationrealist]]></dc:creator>
		<pubDate>Sun, 17 Jun 2012 18:25:00 +0000</pubDate>
		<guid isPermaLink="false">http://educationrealist.wordpress.com/?p=767#comment-259</guid>
		<description><![CDATA[[...] earlier posts that expand on these issues: Teaching Algebra I and Teaching Algebra, or Banging Your Head with a Whiteboard Share this:TwitterFacebookLike this:LikeBe the first to like [...]]]></description>
		<content:encoded><![CDATA[<p>[...] earlier posts that expand on these issues: Teaching Algebra I and Teaching Algebra, or Banging Your Head with a Whiteboard Share this:TwitterFacebookLike this:LikeBe the first to like [...]</p>
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