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Modes of Thinking

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Author:Cut the Knot!, Alexander Bogomolny
Description: Mathematics is verbal for it's a language, and it is abstract for in its heart one finds proofs and axiomatizations. It is symbolic, rational, logical, and, nowadays, it is very digital. These are all indications that mathematics is firmly entrenched in the analytic domain of the L-mode (L for left) way of thinking and perception. On second thought, if the L-mode prevails for most people, why is innumeracy so pervading?... Applets explore two related puzzles: Peg Solitaire and Reverse Peg Solitaire. 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: High School (9-12), College
Languages: English
Resource Types: Games, Problems/Puzzles, Articles, Web Interactive/Java
Math Topics: Number Theory

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