How Do Students Know What They Learn in Middle School Mathematics Is True

How Do Students Know What They Learn in Middle School Mathematics Is True
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学生如何知道他们在中学数学中学到的内容是真实的

DOI:
10.1111/j.1949-8594.2006.tb18169.x
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发表时间:
2006
影响因子:
1.1
通讯作者:
A. Flores
A. Flores
中科院分区:
--
文献类型:
--
作者:
A. Flores

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本文介绍了学生确定他们在数学中学到的东西是真实的方法。学生在中学(和一些其他年级)进行了采访的未来和在职教师。学生们被问到他们最近在数学方面学到了什么,以及他们是如何知道这是真的。作者根据学生在解释中使用的理由方案对答案进行了分组。受访学生使用三种理由计划:外部为基础的,经验的,分析。对于每一种,都提供了学生的理由的例子。其他见解包括从采访者的反映。本文就教师如何帮助学生提高数学论证能力提出了一些建议。
This article presents ways in which students ascertain that what they have learned in mathematics is true. Students in the middle school (and a few from other grades) were interviewed by prospective and in-service teachers. Students were asked what they had learned recently in mathematics and how they knew it was true. The answers were grouped by the author according to the justification schemes used by the students in their explanations. Students interviewed used three kinds of justification schemes: externally based, empirical, and analytic. For each kind, examples are provided of students' justifications. Additional insights are included from the reflections of the interviewers. Some suggestions are offered regarding how teachers can help increase their students' ability to give convincing arguments in mathematics.