Analyze the problem-solving skills for the third grade students - the concept advanced interpretive structure modeling and the student-problem chart

碩士 === 國立臺中教育大學 === 數學教育學系 === 100 === The study was to analyze the problem-solving skills by the concept advanced interpretive structural modeling(CAISM), and to classify students from the caution index provided by the student-problem chart(S-P chart)for each child. The numerical and the figure mod...

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Bibliographic Details
Main Authors: Wang, Chia-Ju, 王佳如
Other Authors: Lin, Yuan-Horng
Format: Others
Language:zh-TW
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/10964734788615822842
Description
Summary:碩士 === 國立臺中教育大學 === 數學教育學系 === 100 === The study was to analyze the problem-solving skills by the concept advanced interpretive structural modeling(CAISM), and to classify students from the caution index provided by the student-problem chart(S-P chart)for each child. The numerical and the figure models of the individualized construction of the concept levels were built according to the test results. Two participants, from the different cluster, were selected and interviewed. This research revealed the following results: 1. The study indicated the cognitive structure could benefit from CAISM because of its demonstration of the hierarchies and linkage of the numbers concepts. 2. The students perform well in the concept “ count the numbers less than 10000, explain the thousand’s place in a number and convert the different numerical units from each other”. It indicates that the idea of this concept was the easiest to understand. 3. There existed characteristics in cognitive structure for each cluster. It also showed hierarchies and linkage among concepts different from each cluster. 4. There were discrepancies in concept structure for the students in the different cluster. The remedial instructors should will be feasible in accordance with information from concept structure structures. The result of this study help the instructors to recognize the cognitive structures in number concepts for third graders. Some suggestions and recommendation were also discussed for future research.