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	<title>Math Relearning/Measurement - Revision history</title>
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	<updated>2026-05-05T09:40:32Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.thinkulum.net/w/index.php?title=Math_Relearning/Measurement&amp;diff=174&amp;oldid=prev</id>
		<title>Andy Culbertson: Added the article.</title>
		<link rel="alternate" type="text/html" href="https://www.thinkulum.net/w/index.php?title=Math_Relearning/Measurement&amp;diff=174&amp;oldid=prev"/>
		<updated>2015-09-29T01:47:02Z</updated>

		<summary type="html">&lt;p&gt;Added the article.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Topics to cover ==&lt;br /&gt;
&lt;br /&gt;
* concepts&lt;br /&gt;
** comparison&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 272&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 7&amp;lt;/ref&amp;gt;&lt;br /&gt;
** conservation&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 271, 272&amp;lt;/ref&amp;gt;&lt;br /&gt;
** coverage (overlaps, gaps)&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 273-274&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;NGACBP 2010, 16&amp;lt;/ref&amp;gt;&lt;br /&gt;
** one-to-one correspondence&amp;lt;ref&amp;gt;Hatfield et al. 2008, 132&amp;lt;/ref&amp;gt;&lt;br /&gt;
** partitioning&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
** proportionality/the compensatory principle&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 273&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
** ratio&lt;br /&gt;
** reference measurement/benchmark, context&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 274&amp;lt;/ref&amp;gt;&lt;br /&gt;
** reference point, zero-point orientation&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
** transitivity&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 271, 273&amp;lt;/ref&amp;gt;&lt;br /&gt;
** unit complexity&lt;br /&gt;
** unit iteration&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 273&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354, 359&amp;lt;/ref&amp;gt;&lt;br /&gt;
** unit size&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
** unit transformation&lt;br /&gt;
** unit type&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 273&amp;lt;/ref&amp;gt;&lt;br /&gt;
** units&lt;br /&gt;
** measurement methods&lt;br /&gt;
*** estimation&amp;lt;ref&amp;gt;Billstein et al. 2007, 741&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 274&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** direct measurement&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 272-273&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** calculation&lt;br /&gt;
** measurement quality&amp;lt;ref&amp;gt;Billstein et al. 2007, 352-354&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** accuracy&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 275&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** precision&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 275&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** rounding&lt;br /&gt;
** measurement system&amp;lt;ref&amp;gt;Hatfield et al. 2008, 356-358&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** metric system&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 277-278&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** English system/US customary system&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 283-284&amp;lt;/ref&amp;gt;&lt;br /&gt;
** data continuity&lt;br /&gt;
*** discrete quantities&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 277&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** continuous quantities&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 277&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 354&amp;lt;/ref&amp;gt;&lt;br /&gt;
* measurement procedure&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1164&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 271&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 355&amp;lt;/ref&amp;gt;&lt;br /&gt;
* measurable attributes&amp;lt;ref&amp;gt;NGACBP 2010, 12&amp;lt;/ref&amp;gt;&lt;br /&gt;
** count&amp;lt;ref&amp;gt;Tall 2013, 97&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** rote counting&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 2-3&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** rational counting&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 2&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** counting procedure&lt;br /&gt;
*** cardinality&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 3&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 133&amp;lt;/ref&amp;gt;&lt;br /&gt;
** space&lt;br /&gt;
*** dimension&lt;br /&gt;
*** length&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1164-1173&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 278&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 358-360&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** area&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 279-281&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 361-368, 379-380&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** volume and capacity&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1185-1187&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 281-282&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 368-370&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** number line, coordinate systems&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 24-25&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Billstein et al. 2007, 98-99&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 487&amp;lt;/ref&amp;gt;&lt;br /&gt;
** position&lt;br /&gt;
*** ordinality&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 3&amp;lt;/ref&amp;gt;&lt;br /&gt;
*** seriation&amp;lt;ref&amp;gt;Hatfield et al. 2008, 128&amp;lt;/ref&amp;gt;&lt;br /&gt;
** mass and weight&amp;lt;ref&amp;gt;Billstein et al. 2007, 813-815&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1178-1181&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 282-283&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 370-372&amp;lt;/ref&amp;gt;&lt;br /&gt;
** temperature&amp;lt;ref&amp;gt;Billstein et al. 2007, 815&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1191&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 376-377&amp;lt;/ref&amp;gt;&lt;br /&gt;
** time&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 1190&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Hatfield et al. 2008, 372-376, 378-379&amp;lt;/ref&amp;gt;&lt;br /&gt;
* numeration systems&amp;lt;ref&amp;gt;Hatfield et al. 2008, 187-213&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Chapin and Johnson 2006, 25-29&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Bittinger and Beecher 2004, 3-6&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Billstein et al. 2007, 153-166&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Tall 2013, 215-223&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Footnotes ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Math Relearning]]&lt;br /&gt;
[[Category:Developing]]&lt;/div&gt;</summary>
		<author><name>Andy Culbertson</name></author>
	</entry>
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