Proof Practices and Constructs of Advanced Mathematics Students
Proof Practices and Constructs of Advanced Mathematics Students
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高等数学学生的证明实践与构造
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
Kenneth Ruthven
中科院分区：
文献类型：
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作者：
R. Coe;Kenneth Ruthven
摘要证明历来被视为高等数学课程的一个重要方面。本文报告的研究考察了在“后考克罗夫特”数学课程中接受教育的一组学生的证明实践和结构。研究发现，尽管本着改革后的课程精神，学生们积极参与发展数学思想，但这是在一种有限的模式下，在这种模式下，探究的思想已经在很大程度上被工具化了。特别是，验证主要和主要是经验性的，很少关注照明和系统化。
Abstract Proof has traditionally been seen as an important aspect of the advanced mathematics curriculum. The study reported here examines the proof practices and constructs of a group of students educated within a ‘post‐Cockcroft’ mathematics curriculum. It finds that although, in the spirit of the reformed curriculum, students are actively involved in developing mathematical ideas, this is within a restricted mode in which ideas of enquiry have become largely instrumentalised. In particular, validation is primarily and predominantly empirical, and there is little concern for illumination and systematisation.