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	<title>The Math Mojo Chronicles &#187; learning techniques</title>
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	<itunes:summary>The Official Blog of MathMojo.com - helping public school, homeschooling, unschooling students, parents, teachers and adults learn math with easy and effective methods.</itunes:summary>
	<itunes:author>The Math Mojo Chronicles</itunes:author>
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		<title>The Math Mojo Chronicles &#187; learning techniques</title>
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		<title>Getting your Math Skills Down Cold</title>
		<link>http://www.mathmojo.com/chronicles/2009/01/27/getting-your-math-skills-down-cold/</link>
		<comments>http://www.mathmojo.com/chronicles/2009/01/27/getting-your-math-skills-down-cold/#comments</comments>
		<pubDate>Wed, 28 Jan 2009 02:02:11 +0000</pubDate>
		<dc:creator>Brian</dc:creator>
				<category><![CDATA[learning techniques]]></category>
		<category><![CDATA[memory techniques (mnemonics)]]></category>
		<category><![CDATA[math facts]]></category>

		<guid isPermaLink="false">http://mathmojo.com/chronicles/?p=483</guid>
		<description><![CDATA[If you don't know your basic multiplications by second or third grade, someone has cheated you. Every seven-year old should be able to really master them. It's just that our society makes wussie excuses, like, "Well, he has ADD, you know..."  [...]]]></description>
			<content:encoded><![CDATA[<p>There is a real problem in our society about what people think they know, and what they know. </p>
<p>What I mean is, so often I hear from students, and adults, that they, &#8220;know&#8221; the &#8220;math facts.&#8221;</p>
<p>Well, aside from the term &#8220;math facts&#8221; being counterproductive, most people can retrieve, say, basic multiplications from their memory, but they are not <em>in their bones</em>.</p>
<p>To illustrate, try this:</p>
<p>Relax, get in tune with yourself. Breathe easily. Start noticing your thinking. </p>
<p>Now, what is 7 x 8?</p>
<p>If you had to think, &#8220;Um, let&#8217;s see&#8230;&#8221;, or if you hesitated at all, you do know really &#8220;know&#8221; the answer. You can find it in your memory, but really <em>knowing</em> it is like knowing that &#8220;cat&#8221; spells &#8220;cat.&#8221; You don&#8217;t have to say, &#8220;um, let&#8217;s see, &#8216;c&#8217; &#8211; &#8216;a&#8217; -&#8217;t;&#8217; that&#8217;s &#8216;cat!&#8217;&#8221; (At least I hope you don&#8217;t.)</p>
<p><span id="more-483"></span></p>
<p>If you don&#8217;t know your basic multiplications by second or third grade, someone has cheated you. Every seven-year old should be able to really master them. It&#8217;s just that our society makes wussie excuses, like, &#8220;Well, he has ADD, you know&#8230;&#8221; </p>
<p>Yeah, maybe he does. Glenn Cunningham had his legs burned so severely when he was eight years old, that the doctors suggested he have them amputated. His mother wouldn&#8217;t allow it. </p>
<p>Do you know who Glenn Cunningham was? He set a world record for the mile and indoor world records for the 1.500 meters and the mile. He was on the 1932 and 1936 Olympic teams .He was considered by many the greatest American miler of all time.</p>
<p>Did his mother use his burns as an excuse? Yes, she did. She used it as an excuse to help him excel against something much more horrific than ADD. </p>
<p>I am not trying to make it sound like ADD isn&#8217;t awful. I have it and it drives me nuts. But I&#8217;d really feel like a wuss if I said, &#8220;I can&#8217;t do this or that because I have ADD.&#8221; </p>
<p>I might say, &#8220;I can&#8217;t do this or that yet, because I haven&#8217;t worked hard enough to overcome my ADD to accomplish it, but I&#8217;m not giving up.&#8221;</p>
<p>That&#8217;s still pretty wussified, but at least it&#8217;s not blaming something outside myself. </p>
<p>There are some things that I have tried that have really helped, and recently I have started working on some of them again. </p>
<p>If you have ADD, you know that there are some things you don&#8217;t have symptoms about. I&#8217;ll bet you can surf the web for hours without interruption, or even food or drink. </p>
<p>You can get into that &#8220;trance&#8221; state when you play computer games, possibly. Many people with ADD can get into the &#8220;zone&#8221; when they do art, music, or sports. My wife wonders why I have a hard time getting my work at the desk done, yet can spend six hours in a row solving Sudoku puzzles. (I wonder, too. It&#8217;s not like my work isn&#8217;t interesting.)</p>
<p>So I&#8217;ve been trying some experiments to combat my short attention span. Lately I&#8217;ve been going to the gym and using the stationary bike and the elliptical machine &#8211; but with a twist. I bring something to learn or memorize on a small clip-board. </p>
<p>Let&#8217;s say I am memorizing a poem. It&#8217;s hard enough to do when you are in a quiet space and not distracted. But when your heart-rate is over 120 for more than a half-hour, and you&#8217;re sweating (and your a big, fat, out-of-shape middle-aged guy like me) it is really hard to concentrate. </p>
<p>It definitely takes me more time to memorize something when I am physically straining at something else. But you know what? I retain the stuff much better. </p>
<p>Later, when I am relaxed and trying to remember what I learned, it comes easier. I can&#8217;t explain why in scientific terms, but it seems like my body is saying, &#8220;If I can do it while panting for my breath, I can certainly do it now!&#8221;</p>
<p>It seems to work on the same principle as the Biathalon. Do you know what that is? It is one weird sport. It&#8217;s cross-country skiing combined with target shooting. </p>
<p>A guy (or girl) sprints long distances on cross-country skiis (that is a hell of a workout, let me tell you!) then has to shoot at a target with a very accurate rifle. Most people&#8217;s body would be shaking with exertion to the point of fainting, but these guys have to steady their hands and nerves, and shoot at a distant target. And they&#8217;re being timed! Now <em>that&#8217;s</em> pressure. </p>
<p>When I was a kid, I used to laugh at that sport. It seems so silly. Cross country ski and shoot? Why not sumo-wrestle and play ping-pong? But it really makes sense, and tests skills that other sports combinations cannot test as accurately. </p>
<p>So what am I getting at? You sit and home and look at multiplication tables, maybe look at flash-cards, or (God forbid) use some vacuous songs, rhymes or video games to memorize your &#8220;math facts.&#8221; Maybe you have the TV on at the same time, or are texting your friends. </p>
<p>What you are <em>not</em> doing is challenging yourself. It&#8217;s just so passive. You&#8217;re not engaged. You just have some passive distractions. </p>
<p>On the other hand, if you set a timer, and say, &#8220;I&#8217;m going to push myself for the next twenty minutes, &#8221; and really exert some effort, you will be making an <em>investment</em> in yourself. And your subconscious will not let yourself be cheated out of your investment. </p>
<p>And if you can manage to do the same thing again the next day, but this time while taking a walk for 20 minutes, you&#8217;ll find that you can&#8217;t concentrate as well. But try it for another day, and another, until you can concentrate as well while walking as when you were in your room, then you have really made some progress. </p>
<p>The next time after that, when you try to study in your room, you will feel more empowered, and will not be as tempted to be distracted by the radio, your iPod, or that idiot that is texting you about some stupid YouTube vid. </p>
<p>Try it. </p>
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		</item>
		<item>
		<title>Trick your Mind into Concentrating</title>
		<link>http://www.mathmojo.com/chronicles/2008/09/26/trick-your-mind-into-concentrating/</link>
		<comments>http://www.mathmojo.com/chronicles/2008/09/26/trick-your-mind-into-concentrating/#comments</comments>
		<pubDate>Fri, 26 Sep 2008 10:47:33 +0000</pubDate>
		<dc:creator>Brian</dc:creator>
				<category><![CDATA[learning techniques]]></category>
		<category><![CDATA[checking your answers]]></category>
		<category><![CDATA[how to concentrate]]></category>
		<category><![CDATA[learn to concentrate]]></category>

		<guid isPermaLink="false">http://mathmojo.com/chronicles/?p=304</guid>
		<description><![CDATA[I was looking online for suggestions about how to teach kids to check work, when I came accross your website... [...]]]></description>
			<content:encoded><![CDATA[<p style="text-align: left;"><!--StartFragment--><span style="font-family: Verdana, Helvetica, Arial;"><span>Recently I got a question from read that I think a lot of other readers would also like to ask. You may have a student, a child, or it might even be you that could use some Ideas to help with this issue. Here&#8217;s what the reader asked:</span></span></p>
<blockquote><p><span style="font-family: Verdana, Helvetica, Arial;"><span>I was looking online for suggestions about how to teach kids to check work, when I came accross your website.</p>
<p>I liked the tone of what you wrote, and am writing you because of the experience I think your site conveys.  I am a volunteer tutor working with a 14 year old student.  He is a very fast thinker, but has very little experience being careful in doing almost anything. He either gets things quickly or drops the ball.  I am working with him on being persistent and checking things (which he probably needs to learn more than math), but it is tricky. </span></span></p>
<p><span style="font-family: Verdana, Helvetica, Arial;"><span>He gets going so fast, and then sort of gives me a look of &#8220;I&#8217;m done&#8221; after finishing problems.  I find myself correcting him on each issue, but the bigger issue is not the mistake that he makes on any given problem, but instead his math style.  I recognize this, and try to address the issue, but I&#8217;m still having problems.  He reverts very quickly to his old ways and I feel overly critical always saying &#8220;you see you missed that.&#8221;  I want to develop a suggestion that he can use to slow himself down to be systematic, but other than &#8220;going slow and looking&#8221; I can&#8217;t.  And that isn&#8217;t very concrete.</p>
<p>I am working on getting him to write much neater (he used to barely look when he writes) and to focus on the page and being systematic, but it is really hard.  Any suggestions?</span></span></p></blockquote>
<p><!--EndFragment--> -J</p>
<hr />
<p style="text-align: center;"><strong><em> Professor Homunculus&#8217; answer:</em></strong></p>
<p style="text-align: left;"><strong> </strong>Hi, J,</p>
<p>That is a great question. I actually have a response from personal experience. I have some of the same study tendencies as your student. I didn&#8217;t really even learn any math (not even long division) until deep into my thirties.</p>
<p>As I learned, I followed my progress closely, and being a magician, I tried to keep in touch with whatever my mind was doing that actually helped.</p>
<p>One way to change the thinking patterns when doing math is to do your writing with your non-dominant hand. There are a lot of theories why this sometimes works, and none of them are as important as actually trying it.</p>
<p>There are other ways to &#8220;trick&#8221; your brain into performing the operations less sloppily &#8211; writing backwards, speaking your answers in a language other than your mother-tongue (if you know one), or writing in calligraphy come to mind right away.</p>
<p>You could also read the problems in a mirror, or only do them as they are read to you, and be allowed to write the answer &#8211; you have to speak it back.</p>
<p>All of these are worth a try, but none of them will be any good if your student tries them as just a &#8220;parlor trick&#8221; and doesn&#8217;t stick with them and notice any differences. As he notices them, he should write them in a notebook.</p>
<p>This way he will be learning more than math &#8211; he will be learning about the personal style of his own mind &#8211; and he will be able to positively affect it.</p>
<p>Let me know how it goes.</p>
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