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	<title>Comments on: Alternatives to Math Homework</title>
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	<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/</link>
	<description>by Hemant Mehta</description>
	<lastBuildDate>Sun, 27 May 2012 17:53:00 +0000</lastBuildDate>
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		<title>By: Helie L</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147924</link>
		<dc:creator>Helie L</dc:creator>
		<pubDate>Wed, 02 Apr 2008 21:39:34 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147924</guid>
		<description>I find it impossibly hard to relate to people who find math hard.  I&#039;m only in high school, but I&#039;m planning on taking differential equations and linear algebra senior year, which is the course that is offered after Calc BC.  Of course, positive reinforcement in the form of winning at math competitions may have something to do with the love I have for math.  :D</description>
		<content:encoded><![CDATA[<p>I find it impossibly hard to relate to people who find math hard.  I&#8217;m only in high school, but I&#8217;m planning on taking differential equations and linear algebra senior year, which is the course that is offered after Calc BC.  Of course, positive reinforcement in the form of winning at math competitions may have something to do with the love I have for math.  <img src='http://www.patheos.com/blogs/friendlyatheist/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' /> </p>
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		<title>By: Karen</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147855</link>
		<dc:creator>Karen</dc:creator>
		<pubDate>Wed, 02 Apr 2008 17:41:11 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147855</guid>
		<description>&lt;blockquote&gt;It’s posturing. Being smart and liking math is uncool, especially for girls. She probably is capable of straight As, but gets Cs and Ds on purpose so her friends don’t accuse her of being a geek.&lt;/blockquote&gt;

Oh, please. You&#039;re assuming WAY too much. There are lots of people, like me, who simply have a very tough time with math, even though they are intelligent and accomplished in other subjects. In my case, I grew up during &quot;new math&quot; instruction and I never got an adequate foundation for higher math. I made it through four years of high school math, and even mastered calculus with reasonably good grades, but I never enjoyed it and have avoided it ever since.

Danica McKellar, the actress who was in The Wonder Years, is a math scholar who has made it a priority to help teenage girls overcome their aversion to math. She makes the point that many high school math teachers may be numbers whizzes, but they are not good at patiently teaching concepts that seem simple to them. They also tend to be male and somewhat intimidating to girls.

Of course I&#039;m sure that Hemant is the antithesis of the impatient, scary, male  like my ninth-grade algebra teacher. ;-)</description>
		<content:encoded><![CDATA[<blockquote><p>It’s posturing. Being smart and liking math is uncool, especially for girls. She probably is capable of straight As, but gets Cs and Ds on purpose so her friends don’t accuse her of being a geek.</p></blockquote>
<p>Oh, please. You&#8217;re assuming WAY too much. There are lots of people, like me, who simply have a very tough time with math, even though they are intelligent and accomplished in other subjects. In my case, I grew up during &#8220;new math&#8221; instruction and I never got an adequate foundation for higher math. I made it through four years of high school math, and even mastered calculus with reasonably good grades, but I never enjoyed it and have avoided it ever since.</p>
<p>Danica McKellar, the actress who was in The Wonder Years, is a math scholar who has made it a priority to help teenage girls overcome their aversion to math. She makes the point that many high school math teachers may be numbers whizzes, but they are not good at patiently teaching concepts that seem simple to them. They also tend to be male and somewhat intimidating to girls.</p>
<p>Of course I&#8217;m sure that Hemant is the antithesis of the impatient, scary, male  like my ninth-grade algebra teacher. <img src='http://www.patheos.com/blogs/friendlyatheist/wp-includes/images/smilies/icon_wink.gif' alt=';-)' class='wp-smiley' /> </p>
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		<title>By: Lexi</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147828</link>
		<dc:creator>Lexi</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:32:38 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147828</guid>
		<description>I&#039;d so rather do math than make out with Danny DeVito.  Especially if I have a hot math teacher.

The good math teachers I&#039;ve had were all after highschool.  

Although, I&#039;ve never had a hot math teacher.  My *best* math teacher looked a little like a garden gnome minus the hat, and somewhat taller.  He was actually quite good.

My geometry teacher was a Russian dude who treated geometry like a court case, except he always said &quot;Guilty until proven innocent&quot; when referring to the proofs-- like our proofs were proving something innocent.  He was the closest to hot, but mostly &#039;cause he had a lot of muscles and good posture.  

The *WORST* math teacher I ever had was a  geometry teacher in highschool and I didn&#039;t understand something and asked her a question about &quot;Why&quot; and she said:

 I don&#039;t know, it is in the book</description>
		<content:encoded><![CDATA[<p>I&#8217;d so rather do math than make out with Danny DeVito.  Especially if I have a hot math teacher.</p>
<p>The good math teachers I&#8217;ve had were all after highschool.  </p>
<p>Although, I&#8217;ve never had a hot math teacher.  My *best* math teacher looked a little like a garden gnome minus the hat, and somewhat taller.  He was actually quite good.</p>
<p>My geometry teacher was a Russian dude who treated geometry like a court case, except he always said &#8220;Guilty until proven innocent&#8221; when referring to the proofs&#8211; like our proofs were proving something innocent.  He was the closest to hot, but mostly &#8217;cause he had a lot of muscles and good posture.  </p>
<p>The *WORST* math teacher I ever had was a  geometry teacher in highschool and I didn&#8217;t understand something and asked her a question about &#8220;Why&#8221; and she said:</p>
<p> I don&#8217;t know, it is in the book</p>
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		<title>By: Derek</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147826</link>
		<dc:creator>Derek</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:18:53 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147826</guid>
		<description>Ah, right... you have to account for the distance between two points. I knew there was something I was forgetting, but I forget exactly why you can&#039;t just take the integral of the circumference. Doesn&#039;t the distance between the two points approach zero in the limit? But I guess it&#039;s not points but slices of cones... I still can&#039;t verify in my head why we can&#039;t use cylinders instead!! Crap, I used to know all this cold. Damn the reckless hedonism of my 20&#039;s!

FYI: http://www.w3.org/TR/html401/sgml/entities.html -- that&#039;ll let you do math symbols in HTML.</description>
		<content:encoded><![CDATA[<p>Ah, right&#8230; you have to account for the distance between two points. I knew there was something I was forgetting, but I forget exactly why you can&#8217;t just take the integral of the circumference. Doesn&#8217;t the distance between the two points approach zero in the limit? But I guess it&#8217;s not points but slices of cones&#8230; I still can&#8217;t verify in my head why we can&#8217;t use cylinders instead!! Crap, I used to know all this cold. Damn the reckless hedonism of my 20&#8242;s!</p>
<p>FYI: <a href="http://www.w3.org/TR/html401/sgml/entities.html" rel="nofollow">http://www.w3.org/TR/html401/sgml/entities.html</a> &#8212; that&#8217;ll let you do math symbols in HTML.</p>
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		<title>By: J Sveda</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147825</link>
		<dc:creator>J Sveda</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:17:29 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147825</guid>
		<description>I&#039;m EE/telecom sudent. I also don&#039;t mind maths, but i took a numerical methods course and I&#039;m not very satisfied. 

I think that big problem with math courses is that A LOT of teachers and lecturers seem to live in distant galaxy or what. Not many are able to give good examples. I&#039;ll forget anything that doesn&#039;t look usable in any way. Take eigenvalues for example. Heck, I don&#039;t remember Maxwell&#039;s equations, which are among fundamental laws i electrical engineering. I just remember that they describe relationship betveen electric and magnetic fields.

In EE / telecom, anything beyond basic calculus, some complex math bits, matrix operations and basic transforms (Z and Fourier tr.) is IMO barely usable, unless I&#039;m going to do research in RF technologies or materials.</description>
		<content:encoded><![CDATA[<p>I&#8217;m EE/telecom sudent. I also don&#8217;t mind maths, but i took a numerical methods course and I&#8217;m not very satisfied. </p>
<p>I think that big problem with math courses is that A LOT of teachers and lecturers seem to live in distant galaxy or what. Not many are able to give good examples. I&#8217;ll forget anything that doesn&#8217;t look usable in any way. Take eigenvalues for example. Heck, I don&#8217;t remember Maxwell&#8217;s equations, which are among fundamental laws i electrical engineering. I just remember that they describe relationship betveen electric and magnetic fields.</p>
<p>In EE / telecom, anything beyond basic calculus, some complex math bits, matrix operations and basic transforms (Z and Fourier tr.) is IMO barely usable, unless I&#8217;m going to do research in RF technologies or materials.</p>
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		<title>By: Susan B.</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147824</link>
		<dc:creator>Susan B.</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:08:49 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147824</guid>
		<description>Just look at the complex numbers--they got slapped with the label &quot;imaginary&quot;!

Derek, if you&#039;re doing surface area, you made the same mistake I did. You&#039;ve got to multiply by the square root of 1+(dy/dx)^2 before you integrate. The part under the integral should be:

(2pi*e^-x)sqrt(1+(-e^-x)^2))dx

which is more of a pain than I&#039;m willing to deal with before lunch.</description>
		<content:encoded><![CDATA[<p>Just look at the complex numbers&#8211;they got slapped with the label &#8220;imaginary&#8221;!</p>
<p>Derek, if you&#8217;re doing surface area, you made the same mistake I did. You&#8217;ve got to multiply by the square root of 1+(dy/dx)^2 before you integrate. The part under the integral should be:</p>
<p>(2pi*e^-x)sqrt(1+(-e^-x)^2))dx</p>
<p>which is more of a pain than I&#8217;m willing to deal with before lunch.</p>
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		<title>By: Susan B.</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147823</link>
		<dc:creator>Susan B.</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:07:54 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147823</guid>
		<description>Just look at the complex numbers--they got slapped with the label &quot;imaginary&quot;!

Derek, if you&#039;re doing surface area, you made the same mistake I did. You&#039;ve got to multiply by the square root of 1+(dy/dx)^2 before you integrate. It should be:

?[1..+?](2?9e^-x)sqrt(1+(-e^-x)^2))dx

which is more of a pain than I&#039;m willing to deal with before lunch.</description>
		<content:encoded><![CDATA[<p>Just look at the complex numbers&#8211;they got slapped with the label &#8220;imaginary&#8221;!</p>
<p>Derek, if you&#8217;re doing surface area, you made the same mistake I did. You&#8217;ve got to multiply by the square root of 1+(dy/dx)^2 before you integrate. It should be:</p>
<p>?[1..+?](2?9e^-x)sqrt(1+(-e^-x)^2))dx</p>
<p>which is more of a pain than I&#8217;m willing to deal with before lunch.</p>
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		<title>By: Miko</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147819</link>
		<dc:creator>Miko</dc:creator>
		<pubDate>Wed, 02 Apr 2008 16:01:23 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147819</guid>
		<description>Another note on the Riemann Hypothesis: It also has bizarre connections to modern physics in ways that it absolutely shouldn&#039;t as far as I&#039;m concerned.  And if I weren&#039;t an atheist, I&#039;d probably think that the Riemann Zeta function was some sort of god.

&lt;blockquote&gt;Well, number theory is the basis behind cryptography, so knowing the truth of Riemann Hypothesis has some bearing on how well we make sure that no one steals your credit card number when you order something on Amazon.com (or anywhere else on the internet), as well as how any other secret messages can be sent securely.&lt;/blockquote&gt;
I always thought that was just something we wrote at the top of grant proposals without really meaning it... ;-)  Actually, one application will definitely be generating larger primes more quickly, so we will get slightly-stronger crypto out of it, but without seeing a proof of it, it&#039;s hard to say whether in general it&#039;ll make RSA crypto easier or harder to break.  Anyhow, over the next decade or so I think we&#039;re all going to switch over to crypto based on the Elliptic Curve Discrete Log Problem, for which the Riemann Hypothesis will have less importance.

But overall, let&#039;s just remember that negative numbers were vigorously attacked as having no use outside of theoretical mathematics when they were introduced, as were most sets of numbers that we now all know and love.  Saying something has no use is just an excuse to ignore it. ;-)</description>
		<content:encoded><![CDATA[<p>Another note on the Riemann Hypothesis: It also has bizarre connections to modern physics in ways that it absolutely shouldn&#8217;t as far as I&#8217;m concerned.  And if I weren&#8217;t an atheist, I&#8217;d probably think that the Riemann Zeta function was some sort of god.</p>
<blockquote><p>Well, number theory is the basis behind cryptography, so knowing the truth of Riemann Hypothesis has some bearing on how well we make sure that no one steals your credit card number when you order something on Amazon.com (or anywhere else on the internet), as well as how any other secret messages can be sent securely.</p></blockquote>
<p>I always thought that was just something we wrote at the top of grant proposals without really meaning it&#8230; <img src='http://www.patheos.com/blogs/friendlyatheist/wp-includes/images/smilies/icon_wink.gif' alt=';-)' class='wp-smiley' />   Actually, one application will definitely be generating larger primes more quickly, so we will get slightly-stronger crypto out of it, but without seeing a proof of it, it&#8217;s hard to say whether in general it&#8217;ll make RSA crypto easier or harder to break.  Anyhow, over the next decade or so I think we&#8217;re all going to switch over to crypto based on the Elliptic Curve Discrete Log Problem, for which the Riemann Hypothesis will have less importance.</p>
<p>But overall, let&#8217;s just remember that negative numbers were vigorously attacked as having no use outside of theoretical mathematics when they were introduced, as were most sets of numbers that we now all know and love.  Saying something has no use is just an excuse to ignore it. <img src='http://www.patheos.com/blogs/friendlyatheist/wp-includes/images/smilies/icon_wink.gif' alt=';-)' class='wp-smiley' /> </p>
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		<title>By: Derek</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147817</link>
		<dc:creator>Derek</dc:creator>
		<pubDate>Wed, 02 Apr 2008 15:57:52 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147817</guid>
		<description>
&#8747;[1..+&#8734;](2&#960;e^-x)dx
=2&#960;&#8747;[1..+&#8734;](e^-x)dx
=2&#960;[1..+infin;](-e^-x)
=2&#960;((0)-(-1/e))

=2&#960;/e

... I think. Been a LONG time since I was a college freshman. Math teacher?

Well, that was more fun than I&#039;ve had all week :D</description>
		<content:encoded><![CDATA[<p>&int;[1..+&infin;](2&pi;e^-x)dx<br />
=2&pi;&int;[1..+&infin;](e^-x)dx<br />
=2&pi;[1..+infin;](-e^-x)<br />
=2&pi;((0)-(-1/e))</p>
<p>=2&pi;/e</p>
<p>&#8230; I think. Been a LONG time since I was a college freshman. Math teacher?</p>
<p>Well, that was more fun than I&#8217;ve had all week <img src='http://www.patheos.com/blogs/friendlyatheist/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' /> </p>
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		<title>By: Susan B.</title>
		<link>http://www.patheos.com/blogs/friendlyatheist/2008/04/01/alternatives-to-math-homework/#comment-147808</link>
		<dc:creator>Susan B.</dc:creator>
		<pubDate>Wed, 02 Apr 2008 15:35:08 +0000</pubDate>
		<guid isPermaLink="false">http://friendlyatheist.com/2008/04/01/alternatives-to-math-homework/#comment-147808</guid>
		<description>&lt;blockquote&gt;Quick! Whatâ€™s the volume of a lathe object around the x-axis defined by e^(-x) from x=1 to positive infinity? How about its surface area? 10 seconds! And show your work.&lt;/blockquote&gt;
Volume: pi/2 * e^-2
&lt;strike&gt;Surface area: 2*pi*e^-1&lt;/strike&gt;

If you think I&#039;m going to show my work, think again.

Edit: screwed up my calculation of the surface area. Maybe I should show my work!</description>
		<content:encoded><![CDATA[<blockquote><p>Quick! Whatâ€™s the volume of a lathe object around the x-axis defined by e^(-x) from x=1 to positive infinity? How about its surface area? 10 seconds! And show your work.</p></blockquote>
<p>Volume: pi/2 * e^-2<br />
<strike>Surface area: 2*pi*e^-1</strike></p>
<p>If you think I&#8217;m going to show my work, think again.</p>
<p>Edit: screwed up my calculation of the surface area. Maybe I should show my work!</p>
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