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 |
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保密级别: | 公开 |
论文语种: | 中文 |
学科代码: | 040101 |
学科专业: | |
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 |
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第一导师姓名: | |
第一导师单位: | |
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: | |
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。
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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.
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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 |