• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.827-842
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• 2010

In this paper, actual didactical transposition and dramatization of designing patterns presented in 4th grade mathematics curriculum is critically reviewed. Patterns in designing patterns are not wallpaper patterns generally. The method of designing new patterns using unit given pattern are not the same as the method of designing wallpaper patterns. In the viewpoint of not designing wallpaper patterns, the context of designing new patterns using unit given pattern is said to be putting transparent stickers. In this paper, on the premise of this characteristics, the shape of unit given pattern, the method of designing new patterns using unit given pattern, and the rule of putting unit given patterns continually are critically discussed. The shape of unit given pattern have to be square actually. In designing new patterns using unit given pattern, if the regularities of designing new patterns can be presented, any regularity is fine. Even though the relationship between new patterns and wallpapers designed by using unit given pattern is not clear, in that these two patterns can not be unrelated, designing new patterns using unit given pattern could be an example of wrong elementarization(Freudenthal, 1973).