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	<title>Comments for MariaD's blog</title>
	<link>http://www.naturalmath.com/components/com_jd-wp</link>
	<description>On math, metaphors and creating cultures.</description>
	<pubDate>Thu, 09 Sep 2010 10:37:38 +0000</pubDate>
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		<title>Comment on Where is math 2.0? by calstanley</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=92#comment-75</link>
		<pubDate>Wed, 27 May 2009 19:26:09 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=92#comment-75</guid>
					<description>One of the main problems with Social Mathematics pages is the inability for Mathematicians to share detailed equations. Often times editors only allow for rudimentary attempts to display complex equations. There are no good ways to search for relevant equations. Social Math is an important endeavor and many blogs and wikis attempt to share information, but the one thing that lacks in every blog and wiki I've ever evaluated or read is that there is no ability to input equations.

MathML or MathJS are 2 good ways of inputing equations online, and a number of mathematical software applications allow for the exporting of MathML, one could simply copy and paste these lines of code and insert it into the wiki using the code feature or a built in widget - but most companies ignore this need.

There is some drawback to using MathML as all W3C compliant browsers will display MathML without any problems what-so-ever, however, those native to Windows and Mac (i.e. Internet Explorer and Safari) do not. IE does have a plug-in from Design Science that works great.

A pallet of mathematical tools would also be a nice addition to wiki and blogs, if companies felt the need to develop them.</description>
		<content:encoded><![CDATA[<p>One of the main problems with Social Mathematics pages is the inability for Mathematicians to share detailed equations. Often times editors only allow for rudimentary attempts to display complex equations. There are no good ways to search for relevant equations. Social Math is an important endeavor and many blogs and wikis attempt to share information, but the one thing that lacks in every blog and wiki I&#8217;ve ever evaluated or read is that there is no ability to input equations.</p>
<p>MathML or MathJS are 2 good ways of inputing equations online, and a number of mathematical software applications allow for the exporting of MathML, one could simply copy and paste these lines of code and insert it into the wiki using the code feature or a built in widget - but most companies ignore this need.</p>
<p>There is some drawback to using MathML as all W3C compliant browsers will display MathML without any problems what-so-ever, however, those native to Windows and Mac (i.e. Internet Explorer and Safari) do not. IE does have a plug-in from Design Science that works great.</p>
<p>A pallet of mathematical tools would also be a nice addition to wiki and blogs, if companies felt the need to develop them.
</p>
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		<title>Comment on WCYDWT: Berkeley parking meter by suev</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=110#comment-72</link>
		<pubDate>Thu, 21 May 2009 03:20:09 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=110#comment-72</guid>
					<description>I printed this out, so I can use it with my kids at Wildcat tomorrow. Thanks! I'll let you know how it goes.</description>
		<content:encoded><![CDATA[<p>I printed this out, so I can use it with my kids at Wildcat tomorrow. Thanks! I&#8217;ll let you know how it goes.
</p>
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		<title>Comment on Social Math and Kids: A Study by lblaffit</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-59</link>
		<pubDate>Sun, 08 Mar 2009 03:12:57 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-59</guid>
					<description>1.  my daughter is 14.5. 
   2. she started with webkins, then used some linked DS games.  Just recently, she has become addicted to google chats.  But she doesn't leave much of a trail on the web other than chats.  She's nervous about doing that. 

   3. Please name some of the sites your children visit frequently.
She has been following several you tube site but not communicating with them. 
   4. not much
   5.   Natural Math 
   6.  Natural Math through the math club. 
   7. high
other adults in your family: medium</description>
		<content:encoded><![CDATA[<p>1.  my daughter is 14.5.<br />
   2. she started with webkins, then used some linked DS games.  Just recently, she has become addicted to google chats.  But she doesn&#8217;t leave much of a trail on the web other than chats.  She&#8217;s nervous about doing that. </p>
<p>   3. Please name some of the sites your children visit frequently.<br />
She has been following several you tube site but not communicating with them.<br />
   4. not much<br />
   5.   Natural Math<br />
   6.  Natural Math through the math club.<br />
   7. high<br />
other adults in your family: medium
</p>
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		<title>Comment on Social Math and Kids: A Study by suev</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-58</link>
		<pubDate>Thu, 05 Mar 2009 02:06:17 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-58</guid>
					<description>1. my son is 6 1/2. he doesn't use web 2.0 sites. (If that would mean making content himself. )

2. What he does online is look at legos stuff to buy, play hotwheels games, watch crazy frog and gummy bear videos on youtube, and play a few mathy games like bloxorz and a few others at the coolmath site. This is all pretty recent.

3. He doesn't do this.

4. We looked at that youtube video of the yoshimoto cube.

5. n.a.

6. I use the web a lot, but I mostly just read and post replies. I've posted photos in a few places, but I don't think I've posted anything more complicated than that. I have accounts on more sites than I can possibly remember. I've met people through okcupid.com, a free dating site. I've bought and sold stuff through criagslist. I find businesses all the time through the web, and buy lots of books online. I use maps from yahoo or google a lot. I just joined paperbackswap.com. I think that's all pretty basic uses.  ;&amp;#62;

Hope this is useful info!  :&amp;#62;</description>
		<content:encoded><![CDATA[<p>1. my son is 6 1/2. he doesn&#8217;t use web 2.0 sites. (If that would mean making content himself. )</p>
<p>2. What he does online is look at legos stuff to buy, play hotwheels games, watch crazy frog and gummy bear videos on youtube, and play a few mathy games like bloxorz and a few others at the coolmath site. This is all pretty recent.</p>
<p>3. He doesn&#8217;t do this.</p>
<p>4. We looked at that youtube video of the yoshimoto cube.</p>
<p>5. n.a.</p>
<p>6. I use the web a lot, but I mostly just read and post replies. I&#8217;ve posted photos in a few places, but I don&#8217;t think I&#8217;ve posted anything more complicated than that. I have accounts on more sites than I can possibly remember. I&#8217;ve met people through okcupid.com, a free dating site. I&#8217;ve bought and sold stuff through criagslist. I find businesses all the time through the web, and buy lots of books online. I use maps from yahoo or google a lot. I just joined paperbackswap.com. I think that&#8217;s all pretty basic uses.  ;&gt;</p>
<p>Hope this is useful info!  :&gt;
</p>
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		<title>Comment on Social Math and Kids: A Study by msouth</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-57</link>
		<pubDate>Wed, 04 Mar 2009 23:57:29 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-57</guid>
					<description>I think what you're seeing is not really specifically how math is endangered on the web, but how it's endangered in our lives.  People put stuff on social networking sites if 

(a) it's important to them

(b) they think it's cool

(c) they think other people will think it's cool

etc.

Social networking is where you see what people really care about, and, unfortunately, for most people math is just a forced chore they would rather forget.

I actually started to collect (but I don't know where I put it) examples of people who &quot;discovered&quot; math later in life, finding, to their great surprise, that it was actually useful and fun.  I'll see if I can find some examples and post them here.</description>
		<content:encoded><![CDATA[<p>I think what you&#8217;re seeing is not really specifically how math is endangered on the web, but how it&#8217;s endangered in our lives.  People put stuff on social networking sites if </p>
<p>(a) it&#8217;s important to them</p>
<p>(b) they think it&#8217;s cool</p>
<p>(c) they think other people will think it&#8217;s cool</p>
<p>etc.</p>
<p>Social networking is where you see what people really care about, and, unfortunately, for most people math is just a forced chore they would rather forget.</p>
<p>I actually started to collect (but I don&#8217;t know where I put it) examples of people who &#8220;discovered&#8221; math later in life, finding, to their great surprise, that it was actually useful and fun.  I&#8217;ll see if I can find some examples and post them here.
</p>
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		<title>Comment on Social Math and Kids: A Study by MariaD</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-56</link>
		<pubDate>Wed, 04 Mar 2009 22:56:51 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=88#comment-56</guid>
					<description>&lt;p&gt;&lt;b&gt;Examples of social mathematics:&lt;/b&gt;&lt;br /&gt;
&lt;a href=&quot;https://letsi.org/index.php?option=com_wordpress&amp;p=34&quot;&gt;A blog discussion.&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Places this survey is posted:&lt;/b&gt;&lt;br /&gt;
March 15:
&lt;a href=&quot;http://mathematics24x7.ning.com/forum/topics/social-mathematics-where&quot;&gt;Mathematics 24x7 ning&lt;/a&gt;
March 7:&lt;br /&gt;
&lt;a href=&quot;http://www.twittermoms.com/forum/topics/social-mathematics-and-kids-a&quot;&gt;TwitterMoms: The influential moms network&lt;/a&gt;&lt;br /&gt;
&lt;a href=&quot;http://www.classroom20.com/forum/topics/social-mathematics-and-kids-a&quot;&gt;Classroom 2.0 ning&lt;/a&gt;&lt;br /&gt;
&lt;a href=&quot;http://twitter.com/MariaDroujkova/status/1292589630&quot;&gt;MariaD's Twitter&lt;/a&gt;&lt;br /&gt;
&lt;a href=&quot;http://groups.google.com/group/naturalmath/browse_thread/thread/6b1240ceebee23b&quot;&gt;Natural Math google group&lt;/a&gt;&lt;br /&gt;
March 4:&lt;br /&gt;
&lt;a href=&quot;http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888917&amp;p=88&quot; rel=&quot;nofollow&quot;&gt;MariaD's Natural Math blog&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Number of families who answered so far:&lt;/b&gt;&lt;br /&gt;
March 9: &lt;b&gt;3&lt;/b&gt;&lt;br /&gt;
March 7: &lt;b&gt;2&lt;/b&gt;&lt;br /&gt;
March 4: &lt;b&gt;1&lt;/b&gt;
&lt;/p&gt;
&lt;p&gt;&lt;iframe src='http://docs.google.com/EmbedSlideshow?docid=ddjkthrd_337c92vwpd6' frameborder='0' width='410' height='342'&gt;&lt;/iframe&gt;
&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p><b>Examples of social mathematics:</b><br />
<a href="https://letsi.org/index.php?option=com_wordpress&#038;p=34">A blog discussion.</a></p>
<p><b>Places this survey is posted:</b><br />
March 15:<br />
<a href="http://mathematics24x7.ning.com/forum/topics/social-mathematics-where">Mathematics 24&#215;7 ning</a><br />
March 7:<br />
<a href="http://www.twittermoms.com/forum/topics/social-mathematics-and-kids-a">TwitterMoms: The influential moms network</a><br />
<a href="http://www.classroom20.com/forum/topics/social-mathematics-and-kids-a">Classroom 2.0 ning</a><br />
<a href="http://twitter.com/MariaDroujkova/status/1292589630">MariaD&#8217;s Twitter</a><br />
<a href="http://groups.google.com/group/naturalmath/browse_thread/thread/6b1240ceebee23b">Natural Math google group</a><br />
March 4:<br />
<a href="http://www.naturalmath.com/index.php?option=com_jd-wp&#038;Itemid=88888917&#038;p=88" rel="nofollow">MariaD&#8217;s Natural Math blog</a></p>
<p><b>Number of families who answered so far:</b><br />
March 9: <b>3</b><br />
March 7: <b>2</b><br />
March 4: <b>1</b>
</p>
<p><iframe src='http://docs.google.com/EmbedSlideshow?docid=ddjkthrd_337c92vwpd6' frameborder='0' width='410' height='342'></iframe>
</p>
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		<title>Comment on Multiplication expedition: in search of elusive models by zzbully</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=73#comment-45</link>
		<pubDate>Tue, 09 Dec 2008 16:35:12 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=73#comment-45</guid>
					<description>We did this sitting around the lunch table, which meant even DS4 participated. 
- DS4 contributed windows in our house and cups stacked in the cabinet;
- DS8 contributed patchwork quilts and rungs on the step stool; 
- DS10 mentioned stockings on the fireplace, kitchen cabinets, hairs on your head and cashews in the trail mix;
- Mom mentioned holes in the volleyball net (currently strung across the family room for a soon-to-be-played game)!</description>
		<content:encoded><![CDATA[<p>We did this sitting around the lunch table, which meant even DS4 participated.<br />
- DS4 contributed windows in our house and cups stacked in the cabinet;<br />
- DS8 contributed patchwork quilts and rungs on the step stool;<br />
- DS10 mentioned stockings on the fireplace, kitchen cabinets, hairs on your head and cashews in the trail mix;<br />
- Mom mentioned holes in the volleyball net (currently strung across the family room for a soon-to-be-played game)!
</p>
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		<title>Comment on On chibis and vitruvian men by writejill</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=76#comment-44</link>
		<pubDate>Mon, 08 Dec 2008 06:13:58 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=76#comment-44</guid>
					<description>This past week we've worked the 'Vitruvius man and chibis' activity.
Our investigations led to the discovery of some very interesting correlations. Without giving them away, the data included the length of the foot, the length of the forearm, the circumference of the neck, the span between the tip of the pinky and tip of the thumb, and so on. Very interesting data - we also practiced handling data, creating tables. 

We used this data to create characters that were evenly proportioned, and others that were decidedly not proportionate. 
We drew our characters, using blank and graph paper. We especially liked to make one part of the character grossly out of proportion, such as a huge head or a really tiny head; same with the feet; or a huge middle (abdomen) which ended up looking like the blueberry girl in Willy Wonka's factory. We also made faces that had one attribute grossly enlarged or extremely small. The favorites seem to be huge eyes, small nose and the vote was a tie on whether the mouth should be tiny or large. (The vote, by the way, was split with girls voting for small mouth (China doll?) and the boys wanting a huge mouth (scarier? or Honeycomb character mouth?)

We next made comparisons using other things, such as the dog, pentagons with 5pt stars, insects, babies, and finally barbies and action figures. We determined what things were 'vitruvius' and which were like 'chibis'. Of course, now the neighbor's baby is being called little chibis, for both it's head size and abdomen size. 

That led us to another investigation, based on an activity in the Math Project Journal. We used a  chart to record measurements of the various attributes (height, head, chest, waist, inseam, foot). We then compared it to our own measurements of the same attributes. We divided our height by the doll's height. This determined the ratio factor, which we used to determine the other attributes if the doll were life-size (same height as us). We considered why the dolls could not stand on their own in doll-height or real-life size. We determined the ratio for each attribute and used it to create life size dolls based. 
Then we worked backwards, and using the same measurements, we scaled back our dimensions to determine what we would look like doll-sized. Using the measurements we calculated, we used both play-dough in non-standard units as well as graph paper to create our mini-versions. Last, we compared the ratios that produced 'normal' results and ratios that produced 'unusually' proportioned results. 

We discussed briefly the Golden Mean and how it relates to the human body, among other things. 

We talked about book characters and their given proportions. We considered how they would related to a real-life world.  Alice, tall tales, Little Prince, Chowder with the limitless stomach, the Littles, Jack in the Box, Mario, Flapjack, Bo-bobo, Smurfs, shrunken head guy on Beetle Juice, and so on. 
We also used real and imaginary maginifying glasses to change the perception of proportions. 

We experimented with the image 'Vitruvian Man' by da Vinci; and the following, taken from 'Vitruvius, De Architectura..'
2. For Nature has so planned the human body that the face from the chin to the top of the forehead and the roots of the hair is a tenth part; also the palm of the hand from the wrist to the top of the middle finger is as much; the head from the chin to the crown, an eighth part; from the top of the breast with the bottom of the neck to the roots of the hair, a sixth part; from the middle of the breast to the crown, a fourth part; a third part of the height of the face is from the bottom of the chin to the bottom of the nostrils; the nose from the bottom of the nostrils to the line between the brows, as much; from that line to the roots of the hair, the forehead is given as the third part. The foot is a sixth of the height of the body; the cubit a quarter, the breast also a quarter. The other limbs also have their own proportionate measurements. And by using these, ancient painters and famous sculptors have attained great and unbounded distinction. 
3. .....the naval is naturally the exact centre of the body....centre of a circle, ....a square  will be found...

#24 Jill</description>
		<content:encoded><![CDATA[<p>This past week we&#8217;ve worked the &#8216;Vitruvius man and chibis&#8217; activity.<br />
Our investigations led to the discovery of some very interesting correlations. Without giving them away, the data included the length of the foot, the length of the forearm, the circumference of the neck, the span between the tip of the pinky and tip of the thumb, and so on. Very interesting data - we also practiced handling data, creating tables. </p>
<p>We used this data to create characters that were evenly proportioned, and others that were decidedly not proportionate.<br />
We drew our characters, using blank and graph paper. We especially liked to make one part of the character grossly out of proportion, such as a huge head or a really tiny head; same with the feet; or a huge middle (abdomen) which ended up looking like the blueberry girl in Willy Wonka&#8217;s factory. We also made faces that had one attribute grossly enlarged or extremely small. The favorites seem to be huge eyes, small nose and the vote was a tie on whether the mouth should be tiny or large. (The vote, by the way, was split with girls voting for small mouth (China doll?) and the boys wanting a huge mouth (scarier? or Honeycomb character mouth?)</p>
<p>We next made comparisons using other things, such as the dog, pentagons with 5pt stars, insects, babies, and finally barbies and action figures. We determined what things were &#8216;vitruvius&#8217; and which were like &#8216;chibis&#8217;. Of course, now the neighbor&#8217;s baby is being called little chibis, for both it&#8217;s head size and abdomen size. </p>
<p>That led us to another investigation, based on an activity in the Math Project Journal. We used a  chart to record measurements of the various attributes (height, head, chest, waist, inseam, foot). We then compared it to our own measurements of the same attributes. We divided our height by the doll&#8217;s height. This determined the ratio factor, which we used to determine the other attributes if the doll were life-size (same height as us). We considered why the dolls could not stand on their own in doll-height or real-life size. We determined the ratio for each attribute and used it to create life size dolls based.<br />
Then we worked backwards, and using the same measurements, we scaled back our dimensions to determine what we would look like doll-sized. Using the measurements we calculated, we used both play-dough in non-standard units as well as graph paper to create our mini-versions. Last, we compared the ratios that produced &#8216;normal&#8217; results and ratios that produced &#8216;unusually&#8217; proportioned results. </p>
<p>We discussed briefly the Golden Mean and how it relates to the human body, among other things. </p>
<p>We talked about book characters and their given proportions. We considered how they would related to a real-life world.  Alice, tall tales, Little Prince, Chowder with the limitless stomach, the Littles, Jack in the Box, Mario, Flapjack, Bo-bobo, Smurfs, shrunken head guy on Beetle Juice, and so on.<br />
We also used real and imaginary maginifying glasses to change the perception of proportions. </p>
<p>We experimented with the image &#8216;Vitruvian Man&#8217; by da Vinci; and the following, taken from &#8216;Vitruvius, De Architectura..&#8217;<br />
2. For Nature has so planned the human body that the face from the chin to the top of the forehead and the roots of the hair is a tenth part; also the palm of the hand from the wrist to the top of the middle finger is as much; the head from the chin to the crown, an eighth part; from the top of the breast with the bottom of the neck to the roots of the hair, a sixth part; from the middle of the breast to the crown, a fourth part; a third part of the height of the face is from the bottom of the chin to the bottom of the nostrils; the nose from the bottom of the nostrils to the line between the brows, as much; from that line to the roots of the hair, the forehead is given as the third part. The foot is a sixth of the height of the body; the cubit a quarter, the breast also a quarter. The other limbs also have their own proportionate measurements. And by using these, ancient painters and famous sculptors have attained great and unbounded distinction.<br />
3. &#8230;..the naval is naturally the exact centre of the body&#8230;.centre of a circle, &#8230;.a square  will be found&#8230;</p>
<p>#24 Jill
</p>
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		<title>Comment on Multiplication wheel: a different kind of table by zzbully</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=72#comment-43</link>
		<pubDate>Fri, 05 Dec 2008 12:17:32 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=72#comment-43</guid>
					<description>We finished our Multiplication Wheel yesterday. We wound up making enough circles to go out to 14 (which the boys were excited about, thinking it would impress Dad). We did up to the seventh circle last week; yesterday we finished up to the 14th. Last week, we were working the problems around the circle; we found it easier (as the problems got harder) to work the problems going straight out in radiated lines. DS8 worked the problems up through the 6s (in radiated lines); DS6 did the 10s; DS10 did the rest. We did find interesting patterns, somewhere toward the end of DS8's turn -- some of the numbers fell into patterns ending with &quot;2, 4, 6, 8, 0&quot; -- varying where you started, of course. Some of other numbers also had patterns, but different (are those prime numbers? I can't remember!). 
   I gave the boys the option of coloring it any way they wanted. When they proudly displayed their results, I was very surprised to find they had colored it in pie-shaped wedges of different colors, rather than each circle. Guess that's how their mind works!
   I'm thinking of hanging the finished project (unfortunately marred by a hole, thankfully not over the numbers!) on their closet door in their room (they all share a room)...
   We had fun! And, I'm not sure what to make of the number patterns I never noticed before! Sure made coming up with the right answer a lot easier, though!
Lori</description>
		<content:encoded><![CDATA[<p>We finished our Multiplication Wheel yesterday. We wound up making enough circles to go out to 14 (which the boys were excited about, thinking it would impress Dad). We did up to the seventh circle last week; yesterday we finished up to the 14th. Last week, we were working the problems around the circle; we found it easier (as the problems got harder) to work the problems going straight out in radiated lines. DS8 worked the problems up through the 6s (in radiated lines); DS6 did the 10s; DS10 did the rest. We did find interesting patterns, somewhere toward the end of DS8&#8217;s turn &#8212; some of the numbers fell into patterns ending with &#8220;2, 4, 6, 8, 0&#8243; &#8212; varying where you started, of course. Some of other numbers also had patterns, but different (are those prime numbers? I can&#8217;t remember!).<br />
   I gave the boys the option of coloring it any way they wanted. When they proudly displayed their results, I was very surprised to find they had colored it in pie-shaped wedges of different colors, rather than each circle. Guess that&#8217;s how their mind works!<br />
   I&#8217;m thinking of hanging the finished project (unfortunately marred by a hole, thankfully not over the numbers!) on their closet door in their room (they all share a room)&#8230;<br />
   We had fun! And, I&#8217;m not sure what to make of the number patterns I never noticed before! Sure made coming up with the right answer a lot easier, though!<br />
Lori
</p>
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		<title>Comment on Mirror books by jennleaf</title>
		<link>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=68#comment-42</link>
		<pubDate>Wed, 03 Dec 2008 02:27:49 +0000</pubDate>
		<guid>http://www.naturalmath.com/index.php?option=com_jd-wp&amp;Itemid=88888996&amp;p=68#comment-42</guid>
					<description>We had a GREAT time with the mirror book activity. At first my daughter didn't want to do it, but once we got started she really had a blast. She quickly discovered how to draw half of something and make it appear whole http://www.facebook.com/photo.php?pid=30220614&amp;#38;l=346b9&amp;#38;id=1126113986
and how to multiply times 6 http://www.facebook.com/photo.php?pid=30220611&amp;#38;l=446ee&amp;#38;id=1126113986 how to draw a really cool snowflake and just make some interesting drawings http://www.facebook.com/photo.php?pid=30220604&amp;#38;l=a65a5&amp;#38;id=1126113986

I only posted 4 of the many many things we did. She made me take a picture of almost everything!

She discovered infinity, loved what happened when we drew a line and moved the mirror to make the line be a triangle, square, octagon, etc... and finally a circle. 

Most importantly she had a great time, we enjoyed our time together, and we did MATH! :-)</description>
		<content:encoded><![CDATA[<p>We had a GREAT time with the mirror book activity. At first my daughter didn&#8217;t want to do it, but once we got started she really had a blast. She quickly discovered how to draw half of something and make it appear whole <a href='http://www.facebook.com/photo.php?pid=30220614&amp;l=346b9&amp;id=1126113986' rel='nofollow'>http://www.facebook.com/photo.php?pid=30220614&amp;l=346b9&amp;id=1126113986</a><br />
and how to multiply times 6 <a href='http://www.facebook.com/photo.php?pid=30220611&amp;l=446ee&amp;id=1126113986' rel='nofollow'>http://www.facebook.com/photo.php?pid=30220611&amp;l=446ee&amp;id=1126113986</a> how to draw a really cool snowflake and just make some interesting drawings <a href='http://www.facebook.com/photo.php?pid=30220604&amp;l=a65a5&amp;id=1126113986' rel='nofollow'>http://www.facebook.com/photo.php?pid=30220604&amp;l=a65a5&amp;id=1126113986</a></p>
<p>I only posted 4 of the many many things we did. She made me take a picture of almost everything!</p>
<p>She discovered infinity, loved what happened when we drew a line and moved the mirror to make the line be a triangle, square, octagon, etc&#8230; and finally a circle. </p>
<p>Most importantly she had a great time, we enjoyed our time together, and we did MATH! <img src='http://www.naturalmath.com/components/com_jd-wp/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' />
</p>
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