Data seen through different lenses

Data seen through different lenses
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通过不同镜头看到的数据

DOI:
10.1007/s10649-013-9529-8
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发表时间:
2014
影响因子:
3.2
通讯作者:
Khalimahtul Khalil
Khalimahtul Khalil
中科院分区:
数学2区
文献类型:
--
作者:
Clifford E. Konold;Traci Higgins;S. Russell;Khalimahtul Khalil

文献摘要

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统计推理关注的是不属于单个数据值而是属于整个集合的属性。我们从三个不同的来源分析学生的陈述,以探索数据作为聚合的想法可能的构建块,并推测年轻学生如何将这些想法放在一起。我们确定了四个一般的观点,学生使用的数据,其中除了一个聚合的角度来看,包括数据指针,作为案例值,并作为分类器。有些学生似乎倾向于只从这三个角度中的一个角度来看待数据,这会影响他们提出的问题类型,他们生成或偏好的数据表示,他们对平均值等概念的解释,以及他们从数据中得出的结论。
Statistical reasoning focuses on properties that belong not to individual data values but to the entire aggregate. We analyze students’ statements from three different sources to explore possible building blocks of the idea of data as aggregate and speculate on how young students go about putting these ideas together. We identify four general perspectives that students use in working with data, which in addition to an aggregate perspective include regarding data as pointers, as case values, and as classifiers. Some students seem inclined to view data from only one of these three alternative perspectives, which then influences the types of questions they ask, the data representations they generate or prefer, the interpretations they give to notions such as the average, and the conclusions they draw from the data.