Training Of Students' Mathematical Proving Ability With New Concepts

More and more attention has been received on the research of the training of students' ability in junior mathematical proof along with the development of junior mathematical course reform. Firstly, according to the new concept proposed by the standard of mathematical course, this thesis focuses on the character and the rationale of the new concept, advances the definition of mathematical proof and mathematical proving ability. Also, the thesis makes a better analysis on the problems existing in the teaching of mathematical proof and then probes into can training the students' ability in mathematical proof in light of the new concept from the following four aspects: training of students' rational spirit; training of students' ability of thinking; practicing the method of proof with the mathematical thought; knowing the basic mathematical proposition and to find out a new conclusion. Final, through the teaching examples the thesis evaluates the students' ability from the four aspects and gives a supplement explanation of the factors affecting the training of students' ability.