A Study On The Approaches And Methods To Fostering Students' Reasonable Inference Ability In Mathematics Teaching In High School

For a long time, the mathematics educators of our country adopted the formalization approach to develop the students reasoning abilities, but ignored the reasonable Inference ability Training.The current"Ordinary High School Mathematics Curriculum Standards"put forward to the development of reasonable inference ability on the basis of paying attention to the deductive reasoning of the traditional mathematics curriculum. The promoting ability of mathematical reasonable inference ability is an important goal of mathematics course and it is a very important way to develop student's innovative spirit and carry forward the fine Chinese nation heritage. We must take it more seriously.I do a research and make a survey on the current state of the mathematical reasonable inference ability of our students (in Grade 2,Grade 3) on the basis of the literature about the reasonable inference. As a result, I get approaches and methods to fostering the ability of reasonable inference for senior students:1. Focus on the process of how the concepts are produced so as to train the student's ability of reasonable inference.2. Focus on the process of finding theorem and formula so as to train the ability in the course of finding formations and concepts.3. Focus on the process of problem-solving ideas so as to train the ability in the way of exploring the conclusion and in the way of the problem solving.