In recent years, the grey system theory is widely applied in academic community, and it has obtained very good results. This study proposes GSP chart (Grey Student-Problem chart) which combines S-P chart (Student-Problem chart) with GRA (Grey Relational Analysis). This paper selects the students whose Gamma value is near 0.5 from the GSP chart. Those students are defined as the Misconception-Students. Then we analyze those students’ answers and select the right and wrong answers created by those Misconception Students at the different time. It is said that the misconception questions are defined as the Misconception-Problem Chart. Through the Problem-Concept Chart conducted by teachers, we can define the Misconception Rate and the Misconception Order by comparing the Misconception-Concept Chart. This method can not only accurately predict where students’ misconception is, but also apply to the remedial instruction.
In this paper, an algorithm of the Rough-ISM analysis method is proposed. The Rough-ISM analysis method is the combination of the Rough set theory and Interpretive Structural Modeling (ISM). It is not only a simple research method, also a practical way to find the students misconceptions. In addition, the most important thing is that the analysis method can overcome fewer participates and problems through Rough set theory statistically. Through the analysis method, common misconceptions of whole class can be found and then and then supplying teaching path for teachers to conducting remedial teaching based on common misconceptions. Finally, a practical example is provided to make the calculate process more clearly.
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