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|Cut the Knot!, Alexander Bogomolny|
|Dictionary definitions of place value and what they lack; the emphasis on place value in the NCTM Standards; its importance in understanding our numeration system; how it arises from one of several possible representations of grouping in the counting process. Why, in general, does mathematics education shy away from placing our decimal numeration into the framework of positional systems? Three reasons to reconsider the common trend that mostly shuns all bases but 10... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/ctk/SelfDescriptive.html.|
|Levels:||Elementary, Middle School (6-8), High School (9-12)|
|Resource Types:||Articles, Web Interactive/Java|
|Math Topics:||Number Sense/About Numbers, Number Theory|
|Math Ed Topics:||NCTM Standards|
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