中学校数学の学力変容過程の実践的研究─振り返りシート等の記述の変容の分析を通して─中学校数学の学力変容過程の実践的研究─振り返りシート等の記述の変容の分析を通して─AN00181081 Practical research on junior high school mathematics about students' learning processes : using 'reflective sheet' (the Math Journal) et al.
In this paper, we discuss the case study of mathematics education for Junior High School students' learning processes focusing students' metacognition and knowledge using 'Reflective Sheet' (the Math Journal) et al.. The metacognition is rather than direct action on the environment and the perception that target cognitive function and cognitive recognition of that, and say what happens in the mind. Especially, we use Reflective Sheet which is formed to check students' cognitive and metacognition attainment. And we think students' knowledge as follows; Five stages of students' learning processes of a student' s mathematics knowledge are 1) Private experienced knowledge 2) Private heuristic knowledge 3) Private discussed and modified knowledge 4) Public mathematical modified knowledge 5) Private understood knowledge In this research, the teacher take care this five stages of students' learning processes according to the framework of a student' s mathematics knowledge during the lesson, the unit and some long time mathematics activities. As a result, we obtain certain points of view in implementing mathematics education and tasks as follows: 1. Teachers' metacognition influenced strongly to students' metacognition through teachers' utterances; 2. The teaching and learning processes which form students' inner activities and teacher' s support is practically effective. 3. If students would get their inner processes of learning mathematics like the five stages processes, they can make their own mathematics knowledge according their metacognition.