In the new round of high school mathematics curriculum reform, the first time the mathematical plausible reasoning ability of students to high school mathematics curriculum into the training objectives in the past. With the implementation of new curriculum in recent years, and deepening awareness of teachers and students Reasoning Reasoning capabilities are undergoing unprecedented changes, which also makes the Reasoning in Mathematics Teaching in the increasingly prominent role and significance.First, in the light of this reasonable inference on the basis of domestic and foreign research defines the meaning of reasonable inference, observation, experiment, induction, analogy, association, conjecture, intuition that the main form of the seven categories of reasonable inference to be addressed. At the same time, the meaning of reasonable inference instruction, teaching the theory of reasonable inference and plausible reasoning based on the teaching model are discussed in detail. Second, the ability of students and teachers Reasoning Teaching was investigated at two levels. Finally, research on the basis of reasonable inference of teaching and research, combined with my teaching experience, ability to make reasonable inference on the high school students develop strategies and teaching in the reasonable inference model based on the three basic math Integration of teaching cases.Focus of this article in the reasoning ability of students and teachers teaching reasonable inference two levels of investigation and study, through questionnaires reached the following conclusions: (1) the student's overall Reasoning ability is not high; (2) all grades, all levels, boys and girls between the ability of reasonable inference was no significant difference; (3) science students in the reasonable inference was significantly higher than liberal arts students; (4) the ideal classroom is the teacher and students together to discuss; (5) Most of the students understanding of the reasonable inference is emotional, intuitive, and also the lack of a systematic and scientific process ;(6) Most teachers have expressed concern about the importance of reasonable inference, but the reasonable inference is not very easy to carry out the teaching, the effect is not evident;(7)Reasonable inference in the teaching process the contents of the main difficulties are lack of the necessary teaching resources, Problem is how to evaluate students. |