【作者】 张硕；

【导师】 周春荔；

【作者基本信息】 首都师范大学 ， 课程与教学论， 2002， 硕士

【摘要】 数学思想方法是进行科学抽象的一种方法，它运用数学概念、符号、公式、公理对所研究的对象进行量与结构的分析，并对其结果进行判断，以便从量与形及其之间关系上去认识研究对象的运动变化规律。它帮助人们研究数学的发展规律，对数学的发现、发明与创造具有重要作用。所以，数学思想方法是数学知识的精髓，是数学的一种指导思想和普遍适用的方法，它能使学生领悟数学的真谛，学会数学的思考和解决问题，并把知识的学习和培养能力，发展智力有机的结合起来，它是学生发展的基础和将来创造的源泉。因此，数学教育界越来越重视数学思想方法的教学。 本研究通过对高中课本的研究，统计了各数学思想方法在高中数学教材中出现的频数，并自编调查问卷和测试题，对石家庄市高一到高三的15个教学班的学生进行调查和测试，通过对调查结果进行统计处理和分析，发现并得出结论为：教师在授课中虽然较重视数学思想方法的教学但普遍讲授不够深刻；学生对数学思想方法不能学为所用；年级和学校对学生有较显著影响；性别对数学思想方法影响不显著；数学思想方法水平与数学成绩有较显著相关。 根据调查分析结果，对高中阶段的数学思想方法教学提出了建议。 1 在问题解决的探究过程中激活数学思想方法； 2 数学教学过程应再现数学知识的发生过程： (1) 数学教学过程应充分展示思维过程 (2) 把发现与创造的思维与方法教给学生 3 采用“过程教学”等多种教学方式，加强对学生数学思想方法的体验。 本调查研究虽然只是就石家庄地区进行的调查，但是结果反应了我国大中城市的一般情况，具有一定的普遍意义和参考价值。更多还原

【Abstract】 Mathematics Idea Means (MIM) is a method for scientific abstraction . It applies mathematical conception, symbol, formula, axiom to analyse volume and structure of the object of study, and judge the result, for having a correct understanding of the changing law of the object of study from the volume and form and their connections. It helps us study the mathematical development. It plays a very important role for the discovery and invention and creation in mathematics. MIM is the spirit of Mathematical knowledge . It is an idea and general method . With it , the students can know the mathematics well , think with mathematics , solve problem , develop ability and intelligence . MIM is the base of students’ creativity in future . So , the mathematics education attach more importance to MIM’s teaching.The reseach counts MIM’s frequency in the books of senior middle school . According to questionaire and examination in 15 classes’ students of Shijiazhuang , We draw the conclusion : The teachers attach importance to MIM’s teaching , but they couldn’t teach deeply . The students couldn’t use MIM well ; The grade and school influence more to the students . The sex influence less to the students . MIM’s level and mathematics achievement are correlative more notable .Acorrding to the investigation, we put forward some suggestions on MIM of senior middle school students .I. Active the MIM in the course of the exploration.II. Reappear the process of the mathematical knowledge in the course of the mathematics teaching.(i) Show the students the process of thinking in the course of the mathematics teaching.(ii) Teach the students the thinking and mathod of discovery and creation.III. Use "Process Teaching" to strengthen the students’ MIM.Though the study only made a investigation in Shijiazhuang, the result reflected the general condition in the big-middle cities of our country. It has some general significances and consult values to us.更多还原