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数学思维心理特征的理论与实证研究

The Research on the Theory and the Demonstration about the Character of Mathematical Thinking

【作者】 童倩云

【导师】 陶平生;

【作者基本信息】 江西师范大学 , 教育, 2003, 硕士

【摘要】 “数学是思维的体操”“数学是思维的科学”,数学教育在培养人类思维的活动中担任着重要的角色。而思维本质上是人类的心理活动,因此,本文以研究数学思维教育为主题,以数学思维的心理研究为主导,从心理学的角度多层次、多角度、多方面地研究数学思维,并渗入数学教学当中,力求寻找其规律以辅助数学教学。 本文研究分为三大部分:第一部分是理论研究,结合心理学的知识和数学学科教学的特点,对数学思维教育进行分析和定位。第二部分是实证研究,从学生的“学”和教师的“教”两个“互动式”的活动中,研究和分析学生的心理状况,以得出有利于学生思维发展的数学教学规律和经验。第三部分是实验研究,将上述两部分的研究结果实施到实际的教学当中,通过科学的数据处理比较其实施前后的效果,以验证结论的有效性和可行性。

【Abstract】 "Mathematics is a gym of thinking " "Mathematics is a science of thinking ". The education of math shoulders an important role in cultivating the thinking of mankind. But thinking is essentially a kind of mental activity of human being. This article is a researching of mathematic education about thinking. It aims at mathematic thinking from different levels, angles and aspects. Combining with the mathematics teaching in class, it will try to find out some rules to help mathematic teaching.The article is composed of three parts: The first is a theory research, it analyses the education of mathematic thinking and gives it an orientation. Thesecond is a researching about practice. From two exchange actions--"STUDY" of students and "TEACH" of teachers, it investigates the psychology of students to draw out the rules of math teaching which will benefit the students on progress of thinking. The third part is a researching experiment. It puts the foregoing studying results into teaching practice to confirm the validity and feasibility by comparing the fore-and-aft effect.

  • 【分类号】G633.6
  • 【被引频次】1
  • 【下载频次】345
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