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	<title>ptolemy.co.uk &#187; KS4 (GCSE)</title>
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	<link>http://ptolemy.co.uk</link>
	<description>mathematics and philosophy education</description>
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		<title>Mandelbrot Set</title>
		<link>http://ptolemy.co.uk/ks4/mandelbrot-set</link>
		<comments>http://ptolemy.co.uk/ks4/mandelbrot-set#comments</comments>
		<pubDate>Fri, 12 Feb 2010 08:07:44 +0000</pubDate>
		<dc:creator>Alec</dc:creator>
				<category><![CDATA[KS3 (11-14)]]></category>
		<category><![CDATA[KS4 (GCSE)]]></category>
		<category><![CDATA[number]]></category>
		<category><![CDATA[chaos]]></category>
		<category><![CDATA[imaginary numbers]]></category>
		<category><![CDATA[mandelbrot]]></category>
		<category><![CDATA[scientific notation]]></category>

		<guid isPermaLink="false">http://ptolemy.co.uk/?p=358</guid>
		<description><![CDATA[An incredible rendering of the MandelBrot Set, which drives home the notion of infinite complexity! 
http://vimeo.com/1908224?hd=1
As the comments underneath the video allude to, there is some utility here to attempt to consider the size of magnification that occurs during a portion of the video, and how to express magnifications of such a magnitude.
]]></description>
			<content:encoded><![CDATA[<p>An incredible rendering of the MandelBrot Set, which drives home the notion of infinite complexity! </p>
<p><a href="http://vimeo.com/1908224?hd=1">http://vimeo.com/1908224?hd=1</a></p>
<p>As the comments underneath the video allude to, there is some utility here to attempt to consider the size of magnification that occurs during a portion of the video, and how to express magnifications of such a magnitude.</p>
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		<title>Visualising Tiny Things</title>
		<link>http://ptolemy.co.uk/ks4/visualising-tiny-things</link>
		<comments>http://ptolemy.co.uk/ks4/visualising-tiny-things#comments</comments>
		<pubDate>Wed, 04 Nov 2009 22:25:49 +0000</pubDate>
		<dc:creator>Alec</dc:creator>
				<category><![CDATA[KS3 (11-14)]]></category>
		<category><![CDATA[KS4 (GCSE)]]></category>
		<category><![CDATA[number]]></category>
		<category><![CDATA[science]]></category>
		<category><![CDATA[place value]]></category>

		<guid isPermaLink="false">http://ptolemy.co.uk/?p=352</guid>
		<description><![CDATA[I stumbled across this lovely page from the University of Utah today, which is extremely simple, but nevertheless well done:
Cell Size And Scale
From a scientific perspective it is interesting to reflect upon the relative sizes of elements, from a Coffee Bean to a Carbon Atom (through various things such as a human Ovum, Sperm, various [...]]]></description>
			<content:encoded><![CDATA[<p>I stumbled across this lovely page from the University of Utah today, which is extremely simple, but nevertheless well done:</p>
<p style="text-align: center;"><a href="http://learn.genetics.utah.edu/content/begin/cells/scale/">Cell Size And Scale</a></p>
<p>From a scientific perspective it is interesting to reflect upon the relative sizes of elements, from a Coffee Bean to a Carbon Atom (through various things such as a human Ovum, Sperm, various viruses, compounds and so on).</p>
<p>From a mathematical perspective it is also interesting for the way in which the relative scales are measured in the top-left. Exploring the different notations for small sizes would be a useful exercise in place-value for all levels of Key Stage 3 and 4.</p>
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		<title>Venn Diagrams (And Mythical Creatures!)</title>
		<link>http://ptolemy.co.uk/ks4/venn-diagrams-and-mythical-creatures</link>
		<comments>http://ptolemy.co.uk/ks4/venn-diagrams-and-mythical-creatures#comments</comments>
		<pubDate>Thu, 27 Aug 2009 21:57:02 +0000</pubDate>
		<dc:creator>Alec</dc:creator>
				<category><![CDATA[KS3 (11-14)]]></category>
		<category><![CDATA[KS4 (GCSE)]]></category>
		<category><![CDATA[KS5 (VI Form)]]></category>
		<category><![CDATA[logic]]></category>
		<category><![CDATA[Venn]]></category>

		<guid isPermaLink="false">http://ptolemy.co.uk/?p=302</guid>
		<description><![CDATA[This is a delightful way to revise Venn Diagrams with older students: A Venn Diagram of mythical creatures.



Visit Flickr for the original at a range of sizes.
]]></description>
			<content:encoded><![CDATA[<p>This is a delightful way to revise Venn Diagrams with older students: A Venn Diagram of mythical creatures.</p>
<div style="text-align: center;">
<a href="http://www.flickr.com/photos/preshaa/3847027500/sizes/l/"><img src="http://ptolemy.co.uk/wp-content/uploads/2009/08/mythicalVenn.jpg" alt="mythicalVenn" title="mythicalVenn" width="500" height="389" class="alignnone size-full wp-image-303" /></a>
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<p>Visit <a href="http://www.flickr.com/photos/preshaa/3847027500/sizes/l/">Flickr for the original at a range of sizes.</a></p>
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