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	<title>SiyensyaMathematics | Siyensya</title>
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	<link>http://siyensya.com</link>
	<description>Philippine-American Life Through a Scientific Lens</description>
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		<title>A Return to Math Street</title>
		<link>http://siyensya.com/2012/03/23/a-return-to-math-street/</link>
		<comments>http://siyensya.com/2012/03/23/a-return-to-math-street/#comments</comments>
		<pubDate>Fri, 23 Mar 2012 01:02:40 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=2589</guid>
		<description><![CDATA[The last few months I was tutoring a student in statistics. The class was something I know about but some of the topics were a little rusty. Towards the end of their class, I found myself reading through my old stats book and also doing some additional reading on the internet on Chi-square, ANOVA and...]]></description>
			<content:encoded><![CDATA[<p><span style="float: left; color: #800000; font-size: 3em; line-height: 1; margin-right: 5px;">T</span>he last few months I was tutoring a student in statistics. The class was something I know about but some of the topics were a little rusty. Towards the end of their class, I found myself reading through my old stats book and also doing some additional reading on the internet on Chi-square, ANOVA and hypothesis testing.</p>
<p>This brought back memories of taking my stat classes in college years ago when there was no internet to turn to. I remember going to the college library to read some additional books for some background knowledge.</p>
<p>But now it&#8217;s different.</p>
<p>I&#8217;ve read so much statistics from the net that I have an even deeper understanding now. I also ordered some statistics books from my favorite book swap store at <a title="Paper Back Swap" href="http://www.paperbackswap.com/index.php" target="_blank">Paper Back Swap</a>. I&#8217;ve been bitten by the statistics bug and I want to know more.</p>
<p>But that&#8217;s not the only surprise. While looking for a statistical program to help crunch the numbers, I came across <a title="R statistics" href="http://www.r-project.org/" target="_blank">R</a>.</p>
<p>I was amazed.</p>
<p>R is free and it works on my Mac. R is an open source statistical package that is free to use. It also has many niche packages that work with the statistics of science. When I was in college, I had to rent some stat program that wasn&#8217;t even that good. So when I saw what R could do, I downloaded it right away to my computer and tried it out. I also use<a title="RStudio" href="http://rstudio.org/" target="_blank"> RStudio</a> because of it&#8217;s nice interface and to help me with R&#8217;s learning curve.</p>
<p>I am finished with tutoring now and my weekends are open. But it&#8217;s different now, I&#8217;m back on math street but I&#8217;m getting on the highway soon.</p>
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		<item>
		<title>Mathematics PD</title>
		<link>http://siyensya.com/2011/03/22/mathematics-pd/</link>
		<comments>http://siyensya.com/2011/03/22/mathematics-pd/#comments</comments>
		<pubDate>Mon, 21 Mar 2011 17:14:23 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Teaching Methods]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=1562</guid>
		<description><![CDATA[I&#8217;m taking a mathematics training class after school on Tuesday and I&#8217;ve developed a Google form document to gather some responses. Let me know what you think about Club 91, Fast 50 and the peg system given in class. Loading&#8230; For videos showing how Fast 50 works, click here for part A and here for...]]></description>
			<content:encoded><![CDATA[<p>I&#8217;m taking a mathematics training class after school on Tuesday and I&#8217;ve developed a Google form document to gather some responses. Let me know what you think about Club 91, Fast 50 and the peg system given in class. </p>
<p><iframe src="https://spreadsheets.google.com/embeddedform?formkey=dG5lOFpWeWpqRlFFR01xQWVFWDVKMUE6MQ" width="650" height="788" frameborder="0" marginheight="0" marginwidth="0">Loading&#8230;</iframe></p>
<p>For videos showing how Fast 50 works, click <a href="http://siyensya.com/2008/03/09/divide-by-91-the-club-91-way/">here</a> for part A and <a href="http://siyensya.com/2008/04/25/club-91-part-b/">here</a> for Part B</p>
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		<title>MathCounts competition for northeast Pennsylvania</title>
		<link>http://siyensya.com/2011/02/11/mathcounts-competition-for-northeast-pennsylvania/</link>
		<comments>http://siyensya.com/2011/02/11/mathcounts-competition-for-northeast-pennsylvania/#comments</comments>
		<pubDate>Fri, 11 Feb 2011 00:39:10 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Teaching Methods]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=1537</guid>
		<description><![CDATA[Today was the northeast Pennsylvania regional MathCounts competition. It was held at the Penn State Worthington campus in Dunmore. We left school early this morning, around 7:30 am and arrived at 8:15am. After checking in, the team ate donuts provided by the MathCounts and university. There were thirteen teams competing. They started with the target...]]></description>
			<content:encoded><![CDATA[<p>Today was the northeast Pennsylvania regional MathCounts competition. It was held at the Penn State Worthington campus in Dunmore. We left school early this morning, around 7:30 am and arrived at 8:15am. After checking in, the team ate donuts provided by the MathCounts and university.</p>
<p style="text-align: center;">There were thirteen teams competing. They started with the target round, followed by the sprint round. After a short break, the team round was given. My A team was a little nervous, but it turned out, they did pretty good, taking third place overall. For lunch, we all had chicken and pasta in a room  adjacent to the student cafeteria. After lunch, it was time for the countdown round. We has one student finish 4th, but did not advance. During the competition, WNEP Ch 16 arrived and took some video. They had a story on the local news tonight and I have the link below.</p>
<p style="text-align: center;"><a href="http://www.wnep.com/videobeta/?watchId=c2ec2d70-e437-41b4-bb5e-fb5bf6c3f009"><img class="aligncenter size-medium wp-image-1538" title="MC news" src="http://siyensya.com/wp-content/uploads/2011/02/MC-news-300x166.jpg" alt="" width="300" height="166" /></a></p>
<p>Update: Our number 5 student will attend the state competition in Harrisburg, Pennsylvania on March 18th. Congratulations K. , I know you will do well there.</p>
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		<title>Regifting Robin and a little number magic</title>
		<link>http://siyensya.com/2011/01/06/1489/</link>
		<comments>http://siyensya.com/2011/01/06/1489/#comments</comments>
		<pubDate>Thu, 06 Jan 2011 10:06:49 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[General]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Video]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=1489</guid>
		<description><![CDATA[Here is a cool website where Robin guesses the gift you are thinking of. Take a number between 10 and 99 and subtract the first and second digit. Then use this number to find the corresponding gift. Just think of the gift and Robin will guess what it is. Click the image to go to...]]></description>
			<content:encoded><![CDATA[<p>Here is a cool website where Robin guesses the gift you are thinking of. Take a number between 10 and 99 and subtract the first and second digit. Then use this number to find the corresponding gift. Just think of the gift and Robin will guess what it is.</p>
<p><a href="http://www.regiftable.com/RegiftingRobinPopUp.html"><img class="alignleft size-medium wp-image-1490" title="regift" src="http://siyensya.com/wp-content/uploads/2011/01/regift-300x210.jpg" alt="" width="300" height="210" /></a> Click the image to go to the site and give it a try. I&#8217;ll give some hints on how this works in the comments. Try it a few times and see if you can find the number theory behind Robin.</p>
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		<slash:comments>1</slash:comments>
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		<item>
		<title>The top five most influential mathematicians</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/</link>
		<comments>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/#comments</comments>
		<pubDate>Tue, 07 Apr 2009 23:36:59 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=203</guid>
		<description><![CDATA[Who are the top five most influential mathematicians? I have five in mind that are important and are helpful when teaching math as related to MathCounts. Many students do not know of any mathematicians and I think it is important to teach some of the more important and influential mathematicians. It is also possible to...]]></description>
			<content:encoded><![CDATA[<p>Who are the top five most influential mathematicians? I have five in mind that are important and are helpful when teaching math as related to MathCounts. Many students do not know of any mathematicians and I think it is important to teach some of the more important and influential mathematicians. It is also possible to study some of the lesser known but just as important mathematicians, but that would be for a more advanced class. I usually have the students learn some basic facts and the date of birth using the Peg System. Here are my top five. <span id="more-203"></span>What do you think?</p>
<p><strong>1. Carl Friedrich Gauss 1777-1855</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss">Gauss</a> is the undisputed champ in my book. His great genius was demonstrated at a young age. When he was in school, his teacher gave the class a task that he thought would take a long time to complete. His task was to sum the first 100 numbers. Gauss completed the task in a very short time. Much later, when the teacher checked the answers, Gauss had the correct answer. He summed the first hundred numbers not by addition, but by multiplication. He found that there are 50 pairs of 101. And 50 x 101 = 5050. He would always tell this story later in his life on how he was the first to complete the task.</p>
<p>He did not publish much and his motto of  &#8221; few, but ripe&#8221; reflected his style of not publishing his mathematics until it was polished to perfection. Many times, other mathematicians would publish their findings and Gauss would say that he already knew about it. His work in number theory has shaped the way it is presented today.</p>
<p><strong>2. Archimedes  cira 287-212 B.C.</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Archimedes">Archimedes</a> spent most of his productive years in Syracuse. Many engineering students  know him for his mechanical contraptions such as the screw pump, a claw that could flip a ship, and the heat ray that would use mirrors to burn a hole in a ship and sink it. In mathematics, he gave very close approximations of pi. Archimedes was always more interested in the theoretical studies than the more practical applications of his inventions. He died when a Roman soldier killed him after Archimedes refused to move away from his geometry problem that he was working on in the sand with a stick.</p>
<p><strong>3. Newton 1643-1727</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Isaac_Newton">Newton</a> gave us Newton&#8217;s laws of motion and of universal gravitation. He, along with Leibniz, developed  calculus. Many topics in physical science and math are related to Newton and all of his discoveries.</p>
<p><strong>4. Bernhard Riemann 1826-1866<br />
</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Bernhard_Riemann">Riemann&#8217;s</a> paper, published in 1859,  titled &#8221; On the Number of Prime Numbers Less Than a Given Quantity&#8221; has sparked much interest and research into the question of how the prime numbers are structured. This is the greatest unsolved mathematics problem and students are real interested to know what the problem is about. This is a very interesting topic for a club like MathCounts were number theory and prime numbers come up all the time. I recommend the book <em>Prime Obsession</em> by John Derbyshire for a interesting read with some good history and mathematics.</p>
<p><strong>5. Paul Erdos 1913-1996</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Paul_Erd%C5%91s">Erdos</a> was an interesting mathematician. He was very social and always tried to work with others. He was the opposite of Gauss who liked to work alone. He called young students &#8220;epsilons&#8221;, which means a little. He would give challenges to students to prove small theorems and pay them if they could prove it. He liked to travel around the world to work with other mathematicians and would say &#8221; another roof, another proof&#8221;. His whole life was mathematics. He did not know how to drive or even how to do his laundry. He hated to waste time on anything but mathematics. Others who have published with him are given an Erdos number. The lower the number, the more directly related to working with him you are. I wish I had met him.</p>
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		<title>Club 91 Part B</title>
		<link>http://siyensya.com/2008/04/25/club-91-part-b/</link>
		<comments>http://siyensya.com/2008/04/25/club-91-part-b/#comments</comments>
		<pubDate>Fri, 25 Apr 2008 06:14:11 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Teaching Methods]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=41</guid>
		<description><![CDATA[My first video dealt with dividing numbers ending with zero, such as 30, 40, 50 etc. See part A below. I will now show you how to divide numbers that do not end in zero. This is the math trick that we use in class to try and beat the calculator. It really gets kids...]]></description>
			<content:encoded><![CDATA[<p>My first video dealt with dividing numbers ending with zero, such as 30, 40, 50  etc. See part A below. I will now show you how to divide numbers that do not end in zero. This is the math trick that we use in class to try and beat the calculator. It really gets kids interested in some math and it&#8217;s great to do when there is only a few minutes left in class.  I believe in not wasting a minute of instructional time. My MathCounts team uses this mathematics trick to sharpen their wits and warm up before we tackle the harder problems in practice. I&#8217;m also happy to say that my MathCounts team took first place in our region and also finished in the top half at the state competition. Great job. I&#8217;m very proud of them for all their hard word.</p>
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		<slash:comments>3</slash:comments>
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		<title>Divide by 91 the Club 91 way &#8211; Part A</title>
		<link>http://siyensya.com/2008/03/09/divide-by-91-the-club-91-way/</link>
		<comments>http://siyensya.com/2008/03/09/divide-by-91-the-club-91-way/#comments</comments>
		<pubDate>Sun, 09 Mar 2008 22:55:16 +0000</pubDate>
		<dc:creator>Kevin</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Teaching Methods]]></category>

		<guid isPermaLink="false">http://siyensya.com/?p=24</guid>
		<description><![CDATA[I use Club 91 as a fun way to sharpen my students&#8217; math skills. If they can beat the calculator, then they can join Club 91. To divide by 91, one must keep in mind that their are two routines to know before you begin. Today, I will show you what to do when the...]]></description>
			<content:encoded><![CDATA[<p align="left"> I use Club 91 as a fun way to sharpen my students&#8217; math skills. If they can beat the calculator, then they can join Club 91. To divide by 91, one must keep in mind that their are two routines to know before you begin. Today, I will show you what to do when the number to be divided ends in zero. The next lesson I will show you what to do when the number does not end in zero. After you give this a try, practice in your mind so you can beat the calculator. Have fun.</p>
<p align="left">&nbsp;</p>
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<p><a href="http://www.screencast.com/t/UQC5K9Hz">club91a</a></p>
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