Teaching Study Based On Reasonable Inference "Si Neng"

Since publishing the 2011 version of the "new curriculum standard", "dual" into"four"(i.e. the ability, problem solving ability, become today's discovery ability, put forward question ability, analysis ability and problem solving skills), "four" officially entered people's field of vision. Although the new found the question ability "and" the analysis question ability ability, but because of the influence of traditional thinking,there are still a majority of people, the "discovery" as is "problem" part of, "found the problem as" problem solving "part of. More importantly, a lot of people will be able to see the achievements of the four is only to solve the problem, he is much higher than the other three. "Four energy" in mathematics thinking is not optimistic.Mathematicians are consistent with "rigorous" known, so the mathematics education also adhering to the "rigorous" course, the teaching methods are deductive reasoning way. But we know the mathematical history, there are many similar "Fermat conjecture", "Riemann Hypothesis" many "imprecise", "speculation" nature of the proposition to help mathematical development. That is to say, mathematics also need not strict, "speculation", is plausible reasoning. Even so, but because of the influence of exam oriented education, deductive reasoning still occupies an important position,mathematics remain the "interpretation", "plausible" as a supplement, or not "sensible".Although the two position is not high, but the role in mathematics but should not be overlooked. So how to use reasoning to help students to "four" ? This process will be related to what factors? What kind of teaching model will be produced?This paper is mainly divided into two parts. The first part is mainly based on literature review and theoretical concepts statement; the second part is dominated by case study and related strategies, mainly discusses four issues: how to make plausible reasoning and "four" organic combination? The plausible reasoning effect on the development of "four" some? The plausible reasoning is how to develop the "four" mode? According to the case which can be seen the development of the "four" strategy?This article will use the theory analysis, the plausible reasoning and "four" the organic combination of possibility highlighted, found both in the observation ability,intuitive thinking, question consciousness, operation ability and the ability to createthe five aspects related, found that "the observed- guess(that)- questions(questions)to observe the(analysis), operation(problem solving)-(comprehensive development"(six steps, five stage) innovation model. Comparative study on the case by key way,prove the feasibility of the model.