| 从认识论和教学法谈数列极限定义 |
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| 引用本文： | 纪春静,王彩芬,曹荣荣.从认识论和教学法谈数列极限定义[J].贵州教育学院学报,2013(9):15-17. |
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| 作者姓名： | 纪春静 王彩芬 曹荣荣 |
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| 作者单位： | 青岛大学数学科学学院,山东青岛266071 |
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| 摘 要： | 极限的“ε-N”定义对大学生高层次数学思维的发展起着重要的作甩。在APOS理论框架下探究学生对数列极限的理解，结果表明学生对极限的理解大都局限在操作和过程阶段，学生所拥有的概念表象影响了极限的严格化定义。教师的教学法则要基于APOS理论设计高水平数学活动，从根本上帮助学生建立数列极限的“深刻直觉”，这是理解“ε-N”定义的核心。
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| 关 键 词： | 认识论 教学法 APOS理论 数列极限 |
On the definition of limit of sequences based on epistenmlogy and teaching method |
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| JI Chun-jing,WANG Cai-fen,CAO Rong-rong.On the definition of limit of sequences based on epistenmlogy and teaching method[J].Journal of Guizhou Educational College(Social Science Edition),2013(9):15-17. |
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| Authors: | JI Chun-jing WANG Cai-fen CAO Rong-rong |
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| Institution: | ( College of Math Science, Qingdao University, Qingdao, Shandong, 266071 ) |
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| Abstract: | The definition of ＂ ε -N ＂ in limit of sequences plays an important role in students＇ advanced mathe- matical thinking. The paper probes into the students＇ understanding of the limit of sequences based on APOS theory, which indicates that students＇ understanding of limit of sequences is mostly confined in action and process stages, and that students＇ concept image influences the rigor definition of limit of sequence. It is suggested that teachers＇ teaching method is to design high -level teaching activities based on APOS theory to help students to develop ＂pro- found intuition＂, which is indispensable for understanding the definition of ＂ε- N ＂ |
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| Keywords: | epistemology teaching method APOS theory limit of sequence |
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