| Summary: | 碩士 === 臺北市立大學 === 數學系數學教育碩士在職專班 === 104 === This research is trying to investigate the learning effect for the 7th grade students on One－Variable Linear Equation. The researcher targets on a class of 7th grade students from Taipei City, and teaches the class for 3 weeks on One－Variable Linear Equation by lecturing, group discussion, metacognition, and etc.
This research focuses on quality and quantity analysis, and uses self-made checklist to analyze the student's learning effect of cognitive, metacognition knowledge and metacognition skill. It uses teaching interaction, observation, video- taping in the class and interviews to investigate the learning effect of metacognition.
According to the research result, the main findings are as the following:
1.With respect to cognitive knowledge, student's completeness of cognitive knowledge reaches to 58% before teaching,student's completeness of cognitive knowledge reaches to 86% after teaching. The number of the students who have the complete concept after the class of solving of the One－Variable Linear Equation increases the most, approximately to 70%.
2.With respect to metacognition knowledge, student's completeness of metacognition knowledge reaches to 44% before teaching, student's completeness of metacognition knowledge reaches to 74% after teaching. The number of the students who have the complete concept after the class of solving application question by using algebra increases the most, approximately 70%.
3.With respect to metacognition skill, the monitoring skill for mathematics increases after teaching. The number of the students who uses validate the answer increases the most, approximately 60%. Although the capability of monitoring increases for most students, it is influenced by the time effect of forget, the oral capability for expressing mathematics and the understanding to the questions.
4.With respect to the learning effect, students can express the related concept and they can thoroughly express which process goes wrong. For y have the students who like discussion and have quiz for other students, they will consider whether having the clear relating mathematic concept and check with each other whether the quiz are reasonable.
keywords：One－Variable Linear Equation、 metacognition
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