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	<title>blog.brightstartutors.com &#187; Learning Math</title>
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	<link>http://brightstartutors.com/blog</link>
	<description>mathematics and physics - learning and enjoying</description>
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		<title>Finding Formulas by Guessing</title>
		<link>http://brightstartutors.com/blog/2011/10/05/formulasbyguessing/</link>
		<comments>http://brightstartutors.com/blog/2011/10/05/formulasbyguessing/#comments</comments>
		<pubDate>Wed, 05 Oct 2011 06:31:39 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Computers and Mathematics]]></category>
		<category><![CDATA[Number Theory]]></category>
		<category><![CDATA[Problem Solving Techniques]]></category>

		<guid isPermaLink="false">http://brightstartutors.com/blog/?p=1594</guid>
		<description><![CDATA[In my high school library, there was a copy of the classic book "Men of Mathematics" by E.T. Bell. Each chapter is a short biography of a notable mathematician of the past (and yes, they are all men). In the chapter on Carl Friedrich Gauss (1777-1855), I first encountered the famous story of how, as a 10 year old student, Gauss baffled his teacher by instantly solving a problem that the teacher assumed would occupy his student's an hour or more.

In this post, I will describe Gauss' insight, then show how a related problem can be solved by using some informed guesswork.]]></description>
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		<slash:comments>0</slash:comments>
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		<title>Dimensional Analysis</title>
		<link>http://brightstartutors.com/blog/2011/02/05/dimensional-analysis/</link>
		<comments>http://brightstartutors.com/blog/2011/02/05/dimensional-analysis/#comments</comments>
		<pubDate>Sat, 05 Feb 2011 09:01:35 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Physics]]></category>
		<category><![CDATA[Problem Solving Techniques]]></category>
		<category><![CDATA[Math]]></category>

		<guid isPermaLink="false">http://brightstartutors.com/blog/?p=1265</guid>
		<description><![CDATA[Most people who have studied some physics or chemistry know that it is important to keep the units of our numbers straight when we do calculations. Failure to attend to units usually leads to wrong answers.  
What is not well known is that the analysis of units can often help scientists to derive formulas, even when the underlying physics is not well understood. How it works seems a bit mysterious, and the technique was not understood or appreciated until about 1870, when the great physicist James Clerk Maxwell laid out the principles of the technique, which is formally known as Dimensional Analysis.]]></description>
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		<slash:comments>0</slash:comments>
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		<title>Pythagorean Triples</title>
		<link>http://brightstartutors.com/blog/2010/07/21/pythagorean-triples/</link>
		<comments>http://brightstartutors.com/blog/2010/07/21/pythagorean-triples/#comments</comments>
		<pubDate>Wed, 21 Jul 2010 17:30:54 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Learning Math]]></category>
		<category><![CDATA[Mathematics History]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://brightstartutors.com/blog/?p=650</guid>
		<description><![CDATA[
When math textbooks need an example of a right triangle, they frequently use a triangle with sides of length 3, 4, and 5, since the numbers work out so nicely: \(3^{2}+4^{2}=5^{2}\) by the Pythagorean theorem. If that gets tiresome, 12, 5, 13 might be used: \(5^{2}+12^{2}=13^{2}\). Clearly, multiplies of these numbers work also, e.g. \(6^{2}+8^{2}=10^{2}\).
Such [...]]]></description>
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		<slash:comments>0</slash:comments>
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		<title>What is e, and Why is it Important?</title>
		<link>http://brightstartutors.com/blog/2010/03/08/e_part_1/</link>
		<comments>http://brightstartutors.com/blog/2010/03/08/e_part_1/#comments</comments>
		<pubDate>Tue, 09 Mar 2010 02:34:22 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Mathematics History]]></category>
		<category><![CDATA[Trig/PreCalculus]]></category>

		<guid isPermaLink="false">http://brightstartutors.com/blog/?p=446</guid>
		<description><![CDATA[This post is  to give some background about the constant e. Math students normally encounter e (2.7182818284590452…) in their Precalculus chapter on exponentials and logarithms, and they often wonder where this rather odd number comes from, and what is special about it. ]]></description>
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		<slash:comments>2</slash:comments>
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		<title>The Wonders of WolframAlpha</title>
		<link>http://brightstartutors.com/blog/2010/01/08/the-wonders-of-wolframalpha/</link>
		<comments>http://brightstartutors.com/blog/2010/01/08/the-wonders-of-wolframalpha/#comments</comments>
		<pubDate>Fri, 08 Jan 2010 07:27:58 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Computers and Mathematics]]></category>
		<category><![CDATA[Learning Math]]></category>
		<category><![CDATA[Thrilling Math]]></category>
		<category><![CDATA[Trig/PreCalculus]]></category>

		<guid isPermaLink="false">http://brightstartutors.com/blog/?p=388</guid>
		<description><![CDATA[It is unworthy of excellent men to lose hours like slaves in the labor of calculation.
Gottfried Wilhelm Leibniz

I have often told students that becoming good at math is a lot like becoming good at a sport or at playing an instrument – practice is extremely  important. Hours and hours of practice.

However, there is a [...]]]></description>
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		<slash:comments>6</slash:comments>
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		<title>Formula Driven Problem Solving</title>
		<link>http://brightstartutors.com/blog/2009/07/23/312/</link>
		<comments>http://brightstartutors.com/blog/2009/07/23/312/#comments</comments>
		<pubDate>Thu, 23 Jul 2009 16:19:10 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Learning Math]]></category>
		<category><![CDATA[Problem Solving Techniques]]></category>

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		<description><![CDATA[This post is the first of a series of hints and techniques for students of math, all based on my experience as a math tutor and teacher…
Much of what a student must learn in a math course amounts to mastering the steps in a well defined procedure. For example, multiplying two binomials (e.g. (x-3)(y2+z) ) [...]]]></description>
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		<slash:comments>6</slash:comments>
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