| Summary: | 碩士 === 國立臺中教育大學 === 教育測驗統計研究所 === 96 === The main purpose of this study is to develop an on-line diagnostic assessment system on grade 1-9 mathematics competence indicators. This system can assess students’ learning process and cognition diagnosis results respective to each competence indicators. The system combined item response theory and fuzzy approach of interpretive structural model to build modeling analysis and item bank. Teacher could select mathematics competence indicators of grade 1-9 mathematics. According to these indicators, the different types of items will be selected automatically. According to response pattern of task-takers, system will count and offer an individual competence indicator graph immediately, and provide cognition diagnosis information. In order to explore the individualized hierarchical structures of mathematics competence indicators. The empirical sample includes 306 third graders of elementary schools and the testing is the self-designed numbers and quantities concepts test. According to individual competence indicator graph from system, the researcher compares the differences of the individualized hierarchical structures among examinees of high, middle, low ability with the experts. Through the procedures of the analysis, the following conclusions are found.
1. The on-line diagnostic assessment system is a feasible way for analyzing the individualized knowledge structures of students.
2. The ISM graphs of examinees varied with different ability.
3. The ISM graphs are different among those who have the same total scores but different response patterns.
4. The referenced standard of experts’ knowledge structures could be references for diagnoses of concept.
5. According to individualized ISM graphs, the links among concepts could be as references for remedial teaching.
The findings of this study should be helpful for understanding the learning process of students and could be as references for remedial instruction or group teaching. Finally, some recommendations and suggestions for future research are provided.
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