Primary School Mathematics Sensible Reasoning Skills Training Strategy

Since long, our country's mathematics education always takes seriously to develop student's deductive reasoning ability, neglected has trained the student to develop the plausible reasoning ability, but the plausible reasoning has the important meaning in mathematics discipline own development and the student development. The student studies mathematics not only need the deductive reasoning, but also need the plausible reasoning, they are the two wings of the mathematics thought, and the two connect closely, indispensable. Therefore, while raises the student deductive reasoning ability also to take seriously to develop the plausible reasoning ability. In recent years, the education for all-around development and the innovation education appeared more and more important, along with the new curriculum reform, the plausible reasoning gradually takes seriously. "Full-time compulsory education mathematics curriculum standard (experiment manuscript)"proposed:"Develop the plausible reasoning ability should pass through in the compulsory education stage", regarding elementary school stage, five and sixth grades are the crucial phase of develop the student plausible reasoning ability, therefore, how trains five and sixth-grade students to develop the plausible reasoning ability is a question which is worth studying.The two main forms of the plausible reasoning are not completely inductive reasoning and analogical reasoning. The teacher may develop the plausible reasoning ability of the student through these two kinds of reasoning ability development. Through to five and sixth-grade students carries on the questionnaire survey and the teacher carries on the interview, obtained that the student's the plausible reasoning ability level and the implementation present situation of developing the plausible reasoning ability in the field research. The student have achieved certain development in the plausible reasoning ability, and student's inductive reasoning ability good in analogical reasoning, but the overall level is not high, the level of the sixth-grade student is higher than the fifth-grade student obviously. The teacher think that it is necessity to train the plausible reasoning ability of the student, but the value degree is to be insufficient, the correlation theories knowledge in the plausible reasoning is deficient, the raise way and the method are not explicit. In the teaching, the teacher may train the plausible reasoning ability of the student through the below ways, some strategies of the inductive reasoning ability development:seeps in the different content domain to raise the inductive reasoning ability, expands the raise way; strengthens the instruction of the inductive reasoning method; enhances student's ability of self-monitoring and the reconsideration. Some strategies of the analogical reasoning ability development:should pay great attention to the knowledge system's establishment, causes the student to form the good cognitive structure; should pay great attention to the seepage of the analogy thought and the method instruction in the teaching; should pay attention to the difference between students and the raise hierarchy.