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中文题名:

 中学数学归纳推理能力的培养方法研究——以孙维刚为例    

姓名:

 蒋子强    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 040101    

学科专业:

 教育学    

学生类型:

 学士    

学位:

 教育学学士    

学位年度:

 2020    

学校:

 北京师范大学    

校区:

 北京校区培养    

学院:

 教育学部    

第一导师姓名:

 张树东    

第一导师单位:

 北京师范大学特殊教育研究所    

提交日期:

 2021-04-02    

答辩日期:

 2020-04-01    

外文题名:

 Research on the educative method of mathematical inductive reasoning ability in middle school: Taking Sun Weigang as an example    

中文关键词:

 归纳推理 ; 孙维刚 ; 中学数学 ; SOLO分类理论 ; 问题中心图式    

外文关键词:

 inductive reasoning ; Sun Weigang ; middle-school mathematics ; SOLO classification theory ; question-center schema    

中文摘要:
归纳推理在中学数学学习中至关重要,但仍属于数学教育薄弱环节。孙维刚在二十年前的教学实践以培养归纳推理能力为主线,创造了非凡的教学奇迹。本文以比格斯的SOLO分类理论和皮连生“知识分类与目标导向”理论为框架,通过对孙维刚著作内容、形式与意义的质性分析,明确了归纳推理能力培养在孙维刚数学教学经验中的主线地位和在实现“孙维刚式素质教育”中的基础性作用,并总结了其归纳推理的基本步骤(素材分析、特征提取、直观拟合、抽象表述、逻辑证明、效果评估)以及基本结果形式(数学问题中心图式),得到了一些促进孙维刚教学方法传播以及归纳推理教学事业发展的有益经验。
外文摘要:
Inductive reasoning is of profound importance in middle-school mathematics learning. However, it is still a weak link in mathematics education. The teaching practice of Sun Weigang, which took the cultivation of inductive reasoning ability as the main line 20 years ago, created a remarkable teaching miracle. Based on Biggs’ SOLO classification theory and Pi Liansheng’s “knowledge classification and goal orientation” theory, through a qualitative analysis of the content, form and significance of Sun Weigang's works, this essay clarifies inductive reasoning ability training as the main line in Sun Weigang’s mathematics teaching experience and the basic role in the realization of “Sun Weigang-style quality education”. Meanwhile this essay summarizes the basic steps (material analysis, feature extraction, intuitive fitting, abstract expression, logical proof, effect evaluation) and the basic result form (problem-center schema of mathematics) of his inductive reasoning, which obtains some useful experience to promote the spread of Sun Weigang's teaching methods and the development of inductive reasoning teaching.
参考文献总数:

 49    

插图总数:

 0    

插表总数:

 0    

馆藏号:

 本040101/20082    

开放日期:

 2022-04-02    

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