High school geometry students' justification for their views of empirical evidence and mathematical proof

High school geometry students' justification for their views of empirical evidence and mathematical proof
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高中几何学生对经验证据和数学证明观点的论证

DOI:
10.1007/bf01273371
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发表时间:
1993
影响因子:
3.2
通讯作者:
D. Chazan
D. Chazan
中科院分区:
数学2区
文献类型:
--
作者:
D. Chazan

文献摘要

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对几何课程中计算机辅助经验验证的使用的担忧导致了对学生对实例测量和演绎证明之间异同的理解的调查。该研究报告了对几何课上 17 名高中生的深入访谈,并采用了实证证据。分析的重点是学生将经验证据视为证据、将数学证明简单视为证据的原因。
Concerns about the use of computer-aided empirical verification in geometry classes lead to an investigation of students' understandings of the similarities and differences between the measurement of examples and deductive proof. The study reports in-depth interviews with seventeen high school students from geometry classes which employed empirical evidence. The analysis focuses on students' reasons for viewing empirical evidence as proof and mathematical proof simply as evidence.