An Investigation Into The Development Of High School Students' Mathematics Reasoning Skills

Firstly, this thesis gives a brief introduction of reasoning and demonstration, and bases on it, analyzes the structure as well. It is: solid basic knowledge of mathematics; the necessary logic of knowledge; the ability to guess ; the ability of mathematical proposition ; the ability of mathematical language; the ability of self-reflection in the course of reasoning.According to the high school class standard of proof reasoning capacity, combining with the ability structure of the requirements, the thesis summs up the training measures on reasoning ability . As follows: Clarifying the concept,theorem, laying a good foundation for the demonstration; taking examples, cultivating a good habit of reasoning demonstration; creating problem situation to encourage students to boldly conjecture; variant use of training to enable students to master proven methods and techniques; reverse practice to improve their ability to reverse the demonstration; mining proof material, training the students in various fields; timely summarizing the reflection to strengthen the students reflect; teaching students according to their aptitude and training students demonstrated ability in deferent levels.The training strategy is effective, this study provides reasons on training of high school students demonstrated ability , explores some valuable experiences and methods so as to serve the teaching and service to students, and has some reference on effctively training the ability of reasoning and demonstration.