| 工科高等代数教学中数学直观的培养 |
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| 引用本文： | 刘敬伟.工科高等代数教学中数学直观的培养[J].北京航空航天大学学报(社会科学版),2012(2):116-120. |
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| 作者姓名： | 刘敬伟 |
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| 作者单位： | 北京航空航天大学,数学与系统科学学院,北京,100191 |
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| 摘 要： | 数学直观是大学数学思维素质培养的主要目标之一,也是培养大学生数学基础和数学应用能力的关键。从数学教育学和认知心理学的角度,分析了数学思维与数学直观培养的关系,研究了工科高等代数知识对大学生数学直观培养的重要性及基于认知结构的教学方法。并从空间解析几何与高等代数的教学实践出发,通过两个例子说明数学直观对大学生数学思维能力培养的重要性。
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| 关 键 词： | 工科高等代数 数学思维 数学直观 |
Mathematical Intuition Training in Engineering of Advanced Algebra Teaching |
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| Liu Jingwei.Mathematical Intuition Training in Engineering of Advanced Algebra Teaching[J].Journal of Beijing University of Aeronautics and Astronautics(Social Sciences Edition),2012(2):116-120. |
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| Authors: | Liu Jingwei |
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| Institution: | Liu Jingwei(School of Mathematics and System Sciences,Beijing University of Aeronautics and Astronautics,Beijing 100191,China) |
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| Abstract: | Mathematical intuition training is one of the main aims of mathematical thinking quality cultivating in college mathematical teaching.It is also the key concern of development of college students’ mathematical foundation and mathematical application skills.In this paper,we analyze the relationship between mathematical thinking and mathematical intuition in the view of pedagogy and cognitive psychology,investigate the importance of engineering advanced algebra knowledge for training mathematical intuition of college students and discuss the teaching method according to cognitive structure.Based on the teaching practice of spatial analytic geometry and advanced algebra,we show the importance of mathematical intuition for mathematical thinking of college students by two examples. |
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| Keywords: | Engineering of Advanced Algebra mathematical thinking mathematical intuition |
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