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1 Educational Corporation,나온교육연구소, "신문 속의 분수" 2004
2 교육인적자원부, "수학 6-가" 2002
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4 Encyclopedia Britannica Educational Corporation, "늘었다 줄었다" 2004
5 Kamii, "Young Children Continue to Reinvent Arithmetic-3rd Grade -" 1994
6 Freudenthal, "Weeding and Sowing: Preface to a Science of Mathematics Education" 1978
7 Middelton,J.A., "Using bar representations as a model for connecting concepts of rational number" 1998
8 Treffers, "Three dimension a model of goal and theory description in mathematics instruction-The Wiskobas Project" 1987
9 Van Reeuwijk, "The role of realistic situations in developing tools for" 1995
10 Beishuizen, "The empty number line as a new model" 1999
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