This articles discusses the characteristics of students’ mathematical understanding in solving multiple representation tasks. Qualitative explorative methods were used to clarify the characteristics of mathematical understanding. Data were obtained by assigning multiple representation tasks to and interviewing 25 students. It is concluded that there are two characteristics of mathematical understanding in solving multiple representation tasks: flexibility and compartmentalization. Flexible understanding consists of complete and incomplete flexibility. SOLO taxonomy level for students who have flexible understanding is relational. Multi-structural level refers to students whose comprehension is incomplete flexible, while uni-structural level refers to students whose understanding is compartmentalized. The findings of this study can be used as a guide to assess the depth of students’ mathematical understanding and a foothold in developing learning mathematics based multiple representations.
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