# Number Scrabble: Numerical Tic-Tac-Toe

In psychological research on problem-solving, sometimes the game of Tic-Tac-Toe is employed, which, though very simple to learn and play, still offers sufficient problems to the investigator in that it is not at all clear what heuristics are used by the subjects, except avoiding the winning move of the opponent. The same is apparently true for the isomorphic game of Number Scrabble, which is based on the fact that there exists a 3 X 3 magic square, of which rows, columns, and main diagonals add up to 15. This game is usually played by having players alternately select one of the remaining numbers from a pile which contains the numbers 1 to 9 at the outset. The player wins who first collects a triad of the numbers adding up to 15.

Although the games are mathematically equivalent, they are likely to differ psychologically, because they require different sorts of information. Number Scrabble is a numerical game requiring addition and subtraction of numbers, whereas Tic-Tac-Toe requires a spatial representation, which can only be disposed of with some difficulty, even by fairly experienced players. One the other hand, it is very easy, though maybe not likely to happen, to have one's 'moves' in Number Scrabble deteremed by super-imposing it on the Tic-Tac-Toe configuration, thus using the spatial magic square.

## Notes:

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Folksonomies: math games number scrabble tic-tac-toe

Taxonomies:
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/hobbies and interests/magic and illusion (0.184553)
/hobbies and interests/games/lottery (0.169410)

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Abstract algebra (0.392705): dbpedia | freebase The Game of JAM: An Isomorph of Tic-Tac-Toe
Periodicals>Journal Article:  Michon, John A. (March 1967), The Game of JAM: An Isomorph of Tic-Tac-Toe, The American Journal of Psychology , Vol. 80, No. 1, Mar., 1967, Retrieved on 2016-12-24
• Source Material [www.jstor.org]
• Folksonomies: math math games