| Summary: | 碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 104 === Some Parts of the concepts in plane vector and space vector courses in high school are similar. The purpose of this study was to compare with the test results of the similar concepts, plane vectors and space vectors, and to find out if any significant improvement exists after the participants acquire the similiar concepts.
The reascher made the concepts achievement matrixs of plane vectors and space vectors to
find out the differences of the data. Next, applying the Concept Advanced Iinterpretive Structural
Modeling (CAISM) to making the individualized concept hierarchy structures of the participants.
In addition, the researcher examined the order and correlation between the results of the
participants’concepts on plane vectors and space vectors, and analyzed the variations of the concept
structures and the participants’ thinking processes.
The findings showed that most of the participants understand better after learning the similar
concept again. The students that got higher grades on plane vectors tend to get significant
improvement on space vectors and think with the relative abstract concept of vector dot product.
Based on the results, it is therefore suggested that further research is needed and teachers use
concept hierarchy structures of students to know more about their learning.
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