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	<title>Comments for Suburban Lion&#039;s Blog</title>
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	<link>http://www.suburbanlion.com</link>
	<description>my unadulterated thoughts on everything</description>
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		<title>Comment on Profile of an &quot;undecided&quot; voter: Nader, Arrow, Nolan, Flux, Aikido and Metagaming the Vote in 2012 by ryan</title>
		<link>http://www.suburbanlion.com/?p=463&#038;cpage=1#comment-17164</link>
		<dc:creator>ryan</dc:creator>
		<pubDate>Tue, 02 Oct 2012 20:30:17 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=463#comment-17164</guid>
		<description><![CDATA[Thanks for the kind words.

It&#039;s possible that there is some Libertarian bias in the quiz, and possibly the Nolan Chart as a whole, considering its source and history.  However, my choice of using the Nolan Chart (and related quiz) was based primarily on the fact that it would be familiar to most Americans and the two dimensional nature made it easier to explain my idea.  A N-dimensional political model would probably be more accurate, but it makes it much harder to visualize.]]></description>
		<content:encoded><![CDATA[<p>Thanks for the kind words.</p>
<p>It's possible that there is some Libertarian bias in the quiz, and possibly the Nolan Chart as a whole, considering its source and history.  However, my choice of using the Nolan Chart (and related quiz) was based primarily on the fact that it would be familiar to most Americans and the two dimensional nature made it easier to explain my idea.  A N-dimensional political model would probably be more accurate, but it makes it much harder to visualize.</p>
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		<title>Comment on Profile of an &quot;undecided&quot; voter: Nader, Arrow, Nolan, Flux, Aikido and Metagaming the Vote in 2012 by Vishal</title>
		<link>http://www.suburbanlion.com/?p=463&#038;cpage=1#comment-16925</link>
		<dc:creator>Vishal</dc:creator>
		<pubDate>Fri, 28 Sep 2012 00:34:41 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=463#comment-16925</guid>
		<description><![CDATA[Very interesting post throughout. As an immigrant (legal, if you must know), I can&#039;t vote in the presidential elections, but as a left leaning libertarian I share your predicament. Vote pairing seems to be a pretty good option to tackle this dilemma.

By the way, that quiz seems to be nudging the participant in the libertarian corner, don&#039;t you think? The questions appear to be worded/phrased in such a way that the resulting score is more likely to fall in the libertarian quadrant.]]></description>
		<content:encoded><![CDATA[<p>Very interesting post throughout. As an immigrant (legal, if you must know), I can't vote in the presidential elections, but as a left leaning libertarian I share your predicament. Vote pairing seems to be a pretty good option to tackle this dilemma.</p>
<p>By the way, that quiz seems to be nudging the participant in the libertarian corner, don't you think? The questions appear to be worded/phrased in such a way that the resulting score is more likely to fall in the libertarian quadrant.</p>
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		<title>Comment on Guild Wars 2: Mesmer Sharper Images Analysis by Michael</title>
		<link>http://www.suburbanlion.com/?p=387&#038;cpage=1#comment-15829</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Wed, 05 Sep 2012 20:09:44 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=387#comment-15829</guid>
		<description><![CDATA[@Gravyrobber
How are you doing the tests? Keep in mind that Conditions go through Toughness, so the numbers are obviously smaller. Furthermore, you do damage from Power on top of Condition. So, all in all, you may see Condition damage being more relevant against more durable opponents.

Anyhow, the biggest problem is that it is difficult to test Confusion damage. Monsters attack rather slowly and behave rather unpredictably, which makes getting an accurate gauge of damage on a human target difficult. (For the same reasons, Power is definitely stronger in PVE.)]]></description>
		<content:encoded><![CDATA[<p>@Gravyrobber<br />
How are you doing the tests? Keep in mind that Conditions go through Toughness, so the numbers are obviously smaller. Furthermore, you do damage from Power on top of Condition. So, all in all, you may see Condition damage being more relevant against more durable opponents.</p>
<p>Anyhow, the biggest problem is that it is difficult to test Confusion damage. Monsters attack rather slowly and behave rather unpredictably, which makes getting an accurate gauge of damage on a human target difficult. (For the same reasons, Power is definitely stronger in PVE.)</p>
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		<title>Comment on Guild Wars 2: Mesmer Sharper Images Analysis by Gravyrobber</title>
		<link>http://www.suburbanlion.com/?p=387&#038;cpage=1#comment-15449</link>
		<dc:creator>Gravyrobber</dc:creator>
		<pubDate>Tue, 28 Aug 2012 15:58:22 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=387#comment-15449</guid>
		<description><![CDATA[I&#039;d be interested to hear further on this topic if you have continued your research into release. Perhaps some information regarding damage + bleed with a condition build with regards to out right damage that a power build + smaller condition bleeds. I currently have been working through a lot of builds, without any real mathematics going into the research, but I am finding that in general, Power build + bleed is higher damaging than Condition build + bleed]]></description>
		<content:encoded><![CDATA[<p>I'd be interested to hear further on this topic if you have continued your research into release. Perhaps some information regarding damage + bleed with a condition build with regards to out right damage that a power build + smaller condition bleeds. I currently have been working through a lot of builds, without any real mathematics going into the research, but I am finding that in general, Power build + bleed is higher damaging than Condition build + bleed</p>
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		<title>Comment on 5 Recent Mathematical Breakthroughs That Could Be Taught in Elementary School (but aren&#039;t) by Howard Frant</title>
		<link>http://www.suburbanlion.com/?p=368&#038;cpage=1#comment-14917</link>
		<dc:creator>Howard Frant</dc:creator>
		<pubDate>Thu, 16 Aug 2012 21:03:52 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=368#comment-14917</guid>
		<description><![CDATA[What you are saying about learning things in historical order agrees with something I have noticed in economics. More recent developments in the field, like game theory and agency theory, are considered advanced, when in fact they are accessible and interesting to new students.

I had set theory in third grade (involving cows, pigs,etc.) and I loved it, but it never got integrated into the rest of the curriculum and I can&#039;t say I got a lot of use out of it.]]></description>
		<content:encoded><![CDATA[<p>What you are saying about learning things in historical order agrees with something I have noticed in economics. More recent developments in the field, like game theory and agency theory, are considered advanced, when in fact they are accessible and interesting to new students.</p>
<p>I had set theory in third grade (involving cows, pigs,etc.) and I loved it, but it never got integrated into the rest of the curriculum and I can't say I got a lot of use out of it.</p>
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		<title>Comment on Guild Wars 2: Mesmer Sharper Images Analysis by razieh</title>
		<link>http://www.suburbanlion.com/?p=387&#038;cpage=1#comment-13885</link>
		<dc:creator>razieh</dc:creator>
		<pubDate>Mon, 23 Jul 2012 23:56:40 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=387#comment-13885</guid>
		<description><![CDATA[With my brief testing, power did not seem to alter their damage by any reasonable amount. However, I could be wrong. I would love to see more information from Arena Net in areas like this. It seems like they can be quite vague with some of their wording.]]></description>
		<content:encoded><![CDATA[<p>With my brief testing, power did not seem to alter their damage by any reasonable amount. However, I could be wrong. I would love to see more information from Arena Net in areas like this. It seems like they can be quite vague with some of their wording.</p>
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		<title>Comment on Guild Wars 2: Mesmer Sharper Images Analysis by ryan</title>
		<link>http://www.suburbanlion.com/?p=387&#038;cpage=1#comment-13871</link>
		<dc:creator>ryan</dc:creator>
		<pubDate>Mon, 23 Jul 2012 18:59:19 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=387#comment-13871</guid>
		<description><![CDATA[They seem to copy most of our own stats when created, with the one notable exception being Vitality.  Another consideration is that they don&#039;t seem to benefit from most weapon sigils, but it&#039;s possible that this could be fixed by release.]]></description>
		<content:encoded><![CDATA[<p>They seem to copy most of our own stats when created, with the one notable exception being Vitality.  Another consideration is that they don't seem to benefit from most weapon sigils, but it's possible that this could be fixed by release.</p>
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		<title>Comment on Guild Wars 2: Mesmer Sharper Images Analysis by razieh</title>
		<link>http://www.suburbanlion.com/?p=387&#038;cpage=1#comment-13866</link>
		<dc:creator>razieh</dc:creator>
		<pubDate>Mon, 23 Jul 2012 18:19:42 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=387#comment-13866</guid>
		<description><![CDATA[How do illusions get stats? Do they have our critical chance? I would be very interested in seeing how this works--if you know.]]></description>
		<content:encoded><![CDATA[<p>How do illusions get stats? Do they have our critical chance? I would be very interested in seeing how this works--if you know.</p>
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		<title>Comment on Guild Wars 2 Beta World Event 4/27-4/29: &quot;Over &amp; Under&quot; by Guild Wars 2: Mesmer Sharper Images Analysis &#171; Suburban Lion&#039;s Blog</title>
		<link>http://www.suburbanlion.com/?p=341&#038;cpage=1#comment-13510</link>
		<dc:creator>Guild Wars 2: Mesmer Sharper Images Analysis &#171; Suburban Lion&#039;s Blog</dc:creator>
		<pubDate>Tue, 17 Jul 2012 02:53:13 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=341#comment-13510</guid>
		<description><![CDATA[[...] weekend marks the 3rd Beta World Event for Guild Wars 2. I wrote a little bit about my general experiences in the first BWE, but this time I&#039;m focusing on a very specific area of the game. In the first BWE, I was just [...]]]></description>
		<content:encoded><![CDATA[<p>[...] weekend marks the 3rd Beta World Event for Guild Wars 2. I wrote a little bit about my general experiences in the first BWE, but this time I&#039;m focusing on a very specific area of the game. In the first BWE, I was just [...]</p>
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		<title>Comment on 5 Recent Mathematical Breakthroughs That Could Be Taught in Elementary School (but aren&#039;t) by AirShowFan</title>
		<link>http://www.suburbanlion.com/?p=368&#038;cpage=1#comment-13244</link>
		<dc:creator>AirShowFan</dc:creator>
		<pubDate>Tue, 10 Jul 2012 15:06:42 +0000</pubDate>
		<guid isPermaLink="false">http://www.suburbanlion.com/?p=368#comment-13244</guid>
		<description><![CDATA[I was exposed to set theory early in elementary school (2nd or 3rd grade), graph theory in 4th grade, and boolean algebra around 7th grade (all in the early 1990s).

However, I don&#039;t remember really loving set theory or boolean algebra.

There were many things that I really enjoyed in math class, such as working with different bases (1st or 2nd grade), algebra (7th grade), geometry proofs and trig (8th grade), statistics and the first few units on differentiation and integration (high school), and linear algebra and its uses in image processing and structural analysis (college).

I think the difference between topics that were enjoyable and felt mind-expanding and made me want to be a mathematician, versus topics that were intimidating or just tedious and made me wish I were doing something else... was the teaching. A good math teacher can take almost any topic in math and make it about DISCOVERY. Before even revealing what is being taught, the teacher states a problem that can be solved using the upcoming material. You FEEL that there is a unique answer, but you don&#039;t know how to get to it, and now you WANT to learn how. If a specific and simpler form of the problem is presented, maybe the students can solve it using common sense, and then the teacher can ask &quot;How do things change when we add this complexity? How could we deal with it?&quot;. A technique is proposed either by the teacher or by students, and is used successfully. The teacher then asks &quot;Will this work every time? Can anyone think of a time when this would not work?&quot;. Someone - teacher or student - comes up with an example where that technique wouldn&#039;t work. Then they either try to patch the problem-solving methods further, or say &quot;Solving that kind of problem would require much more complicated techniques. They&#039;re called such-and-such if anyone wants to look them up later, but we&#039;ll only teach this in the classroom about a year from now&quot;. Everything from division and fractions (2nd grade) to multivariable calculus can, and should, be taught this way. THAT is what thinking like a mathematician is like.

I didn&#039;t enjoy boolean algebra or set theory because they were taught by bad teachers who went &quot;Now we are going to learn X. Here are some definitions. Here are some properties between these kinds of things. So for example, when a problem looks like this, you get to the solution by doing this. Got it? Now do five examples by yourself and raise your hand if you have a question&quot;. Bo-ring!

I loved graph theory, though, which I did in 4th grade. The fact that all polyhedra we could think of (except ones with holes) have an Euler Characteristic of 2 seemed like MAGIC to me. Why was this true? The proof involved flattening the polyhedra onto a plane. The equivalency between solids and these 2D diagrams was super interesting. And then the proof (removing either one edge, or X edges and X-1 vertices, in either case combining two faces into one, until you have two faces - an &quot;outside&quot; one and an &quot;inside&quot; one bounded by X edges and X vertices) was AMAZING. It was the first time I had been exposed to a proof, and to the idea that you could pick apart WHY something was true in math. You could OWN the truth of the mathematical process in a way I had never experienced. Because it was a process of discovery, not just a simple fact.

So, yeah, as long as things are taught that way, I think kids will appreciate &quot;mathematician thinking&quot; even without learning topological or computational topics like these. (And by the way, everyone here has read Paul Lockhart&#039;s &quot;A Mathematician&#039;s lament&quot;, right? If not, Google it! It makes the same point buch much more richly).]]></description>
		<content:encoded><![CDATA[<p>I was exposed to set theory early in elementary school (2nd or 3rd grade), graph theory in 4th grade, and boolean algebra around 7th grade (all in the early 1990s).</p>
<p>However, I don't remember really loving set theory or boolean algebra.</p>
<p>There were many things that I really enjoyed in math class, such as working with different bases (1st or 2nd grade), algebra (7th grade), geometry proofs and trig (8th grade), statistics and the first few units on differentiation and integration (high school), and linear algebra and its uses in image processing and structural analysis (college).</p>
<p>I think the difference between topics that were enjoyable and felt mind-expanding and made me want to be a mathematician, versus topics that were intimidating or just tedious and made me wish I were doing something else... was the teaching. A good math teacher can take almost any topic in math and make it about DISCOVERY. Before even revealing what is being taught, the teacher states a problem that can be solved using the upcoming material. You FEEL that there is a unique answer, but you don't know how to get to it, and now you WANT to learn how. If a specific and simpler form of the problem is presented, maybe the students can solve it using common sense, and then the teacher can ask "How do things change when we add this complexity? How could we deal with it?". A technique is proposed either by the teacher or by students, and is used successfully. The teacher then asks "Will this work every time? Can anyone think of a time when this would not work?". Someone - teacher or student - comes up with an example where that technique wouldn't work. Then they either try to patch the problem-solving methods further, or say "Solving that kind of problem would require much more complicated techniques. They're called such-and-such if anyone wants to look them up later, but we'll only teach this in the classroom about a year from now". Everything from division and fractions (2nd grade) to multivariable calculus can, and should, be taught this way. THAT is what thinking like a mathematician is like.</p>
<p>I didn't enjoy boolean algebra or set theory because they were taught by bad teachers who went "Now we are going to learn X. Here are some definitions. Here are some properties between these kinds of things. So for example, when a problem looks like this, you get to the solution by doing this. Got it? Now do five examples by yourself and raise your hand if you have a question". Bo-ring!</p>
<p>I loved graph theory, though, which I did in 4th grade. The fact that all polyhedra we could think of (except ones with holes) have an Euler Characteristic of 2 seemed like MAGIC to me. Why was this true? The proof involved flattening the polyhedra onto a plane. The equivalency between solids and these 2D diagrams was super interesting. And then the proof (removing either one edge, or X edges and X-1 vertices, in either case combining two faces into one, until you have two faces - an "outside" one and an "inside" one bounded by X edges and X vertices) was AMAZING. It was the first time I had been exposed to a proof, and to the idea that you could pick apart WHY something was true in math. You could OWN the truth of the mathematical process in a way I had never experienced. Because it was a process of discovery, not just a simple fact.</p>
<p>So, yeah, as long as things are taught that way, I think kids will appreciate "mathematician thinking" even without learning topological or computational topics like these. (And by the way, everyone here has read Paul Lockhart's "A Mathematician's lament", right? If not, Google it! It makes the same point buch much more richly).</p>
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