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http://www.cuttheknot.org/SimpleGames/TransExample.shtml  


Cut the Knot!, Alexander Bogomolny  
More on place value. "There is an obvious confusion there between two questions, what to teach and how to teach it. Does the failure of the New Math to present a specific topic necessarily imply that teaching this topic has no merit? The New Math has embodied both the what's of mathematics and the how's of instructional methodology (not to mention its philosophical outlook.) Can't these be separated if only for the sake of discussion? Otherwise, how can one explain that more traditional topics that were covered by the New Math survived its downfall?" Also an applet and an explanation of the "no line fusion" puzzle phenomenon (permutations, transpositions). 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.  


Levels:  Elementary, Middle School (68), High School (912) 
Languages:  English 
Resource Types:  Articles, Web Interactive/Java 
Math Topics:  Number Sense/About Numbers, Number Theory 
Math Ed Topics:  The Web and Pedagogy, Pedagogical Research 
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