Investigation Of The Plausible Reasoning Ability Of Junior Middle School Students

Pay attention to the innovation education has become the mainstream of the international mathematics education and mathematics education in China. On innovation of questioning and discovery, induction, analogy reasoning process is an important means to identify problems, ask questions. Therefore, the plausible reasoning ability of the student and innovation ability are closely related. Pay attention to the cultivation of the plausible reasoning ability, become one of the key link of cultivating innovative talents. The junior middle school stage is the key period for the development of students’ thinking, is the initial stage of the formation of logical thinking ability of the students. Only in the development of logical thinking ability of students at the same time, pay full attention to cultivate and develop the plausible reasoning ability, in order to enhance the students’ thinking ability. "Full-time compulsory education mathematics curriculum standards" in the "mathematics thinking" goal also clearly pointed out that to develop students’ reasoning ability.This paper mainly students of grade seven or eight to do the questionnaire and student interview, six teachers of grade seven or eight interviews, made a survey of classroom observation and operation, and has carried on the detailed statistical data, analysis of the current situation of plausible reasoning, and points out the plausible reasoning ability of deficiencies in the training process. Finally, in view of the existing culture of plausible reasoning problems at present, and provide some suggestions for teaching:(1) note that mathematics basic knowledge and basic skills teaching; (2) to strengthen the students’ use of plausible reasoning consciousness; (3) to change the traditional teaching methods, focus on the development of students’ subjectivity; (4) to strengthen the students’ reasoning training; (5) the textbooks in plausible reasoning material; (6) to improve the students’ ability of reflection; (7) encourage students to several solutions to one problem, changing.This paper mainly discusses the incomplete inductive reasoning and analogical reasoning two most main, the most extensive use of plausible reasoning form. In addition, observation, specialization, generalization, conjecture is plausible reasoning. Need from the junior middle school mathematics teaching practice and research, no culture of plausible reasoning in several other forms of study. In addition, this paper finally gives only a general improvement of junior high school students’ reasoning ability teaching suggestions. But there is no specific to each kind of plausible reasoning form to take the training mode to achieve good results, it also need further study.