【作者】 徐俊；

【导师】 郭熙汉；

【作者基本信息】 华中师范大学 ， 学科教学， 2007， 硕士

【摘要】 随着数学课程改革的深入，关于初中生数学证明能力的培养问题研究已经引起了越来越广泛的关注。本文首先从数学课程标准提出的初中数学证明教学新观念着手，论述了初中数学证明教学新观念的特点和理论基础，并对数学证明和数学证明能力等相关概念进行了界定。进而细致地分析了目前初中数学证明教学中存在的问题，提出了在初中数学证明新观念指导下，初中生数学证明能力的培养工作应从培养学生的理性精神；培养学生的思维能力；对数学证明思想和方法的掌握和运用以及理解掌握基本数学命题促进发现新命题等四个方面进行。最后文章通过教学实例从四个方面对初中生数学证明能力的培养状况进行了教学评价，并对影响初中生数学证明能力培养的因素进行了小结。更多还原

【Abstract】 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.更多还原