| Summary: | 碩士 === 臺中師範學院 === 數學教育學系 === 91 === In teaching process, instructional assessment helps teachers to assess the starting point of learning status, to comprehend students’ learning difficulties and effects. According to the theory of multiple intelligences, the singal score could no longer evaluate students’ ability. For recent years, the characteristic of the knowledge structure is gradually emphasized in cognition diagnostic assessment. Thus, this research combines both item response theory and the fuzzy approach of cognition structure to improve pathfinder analysis. Furthermore, the research also use this improved method to empirical data. By observing the elementary students in different type, this research is to get these students’ concept about triangle and to get the differences of similarity index of PFC, GTD and PRX in each type. The research also explore the relationship between the similarity index and the forecast of students’ ability.
The finding of this research is as follows:
1.For the students of the same group, the lower ability of students is, the more concepts A1 (Basic Triangle Identification) connects to. Moreover, the more similar the student’s ability is, the more similar the knowledge structure chart is.
2.PFC and GTD have significant difference in each VHL, expect for level 0 and level 1. But PRX has significant difference only in level which doesn’t reach to level 0 with level 0, level 1 and level 2.
3.The three similarity index are highly related to ability and can forecast ability effectively, especially PFC. Among these three index, PFC is the best predictor for ability.
This research could provide some references for teaching. The researcher discuss some limitations of this study. Finally, the researcher also raise some suggestions for furture research.
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