To The Draft As A Carrier For Training And Research Students' Mathematical Thinking Second School Segment

In the new curriculum reform, the roles of teachers and students have changed. In the students’autonomous learning, teacher is the partner, guide, participants and facilitators. It is the process of teacher-student communication, interaction, spiritual dialogue to the three-dimensional target which contains realization of knowledge and ability, process and method, emotion, attitude and values. It takes more and more attention to the research of the students’learning process and methods. During the daily teaching and communication with students, the mathematical "draft", which is ignored by the students and even many teachers, can mostly manifest the students’ learning process and methods. The author took a survey about learning mathematics" draft" in171fifth grade students. The result shows that the ownership of draft is only about50%. And the use of draft is not optimistic.25%students draft outside the drafting, and44%do with the draft has nothing to do with mathematics. Through the interview and research, the author found the main reasons for students thinking block is the lack of breadth, profundity, organization and logic, which influences the development of mathematical thinking of students. According to the status of the student’s thinking and problems, the author put forward a draft for the second carrier section of students in mathematical thinking as effective training. First, the organization of mathematical thinking material provided from static to dynamic display. Second, the use of mathematical thinking to focus on comments to discovery. Third, thinking way of mathematics from the use of logical analysis to the dialectical analysis. Mathematical thinking methods from the emphasis on notes to pay attention to; Solving problem from simple imitation to discovery. And learning mathematics from receiving passively to creating actively. With such training measures, students" mathematical thinking of second section will be effectively developed.We found that the status of our students will be more precise, and we will be more sure on their teaching if we can draft as a carrier in mathematical thinking training. It will be more important for teachers and students. Our teaching will be valid if students training of mathematical thinking is effective. By establishing the closest mathematical practice to use the draft, it will stimulate students’interest in learning and improve mathematics teaching.