Developing students' reasoning about samples and sampling in the context of informal inferences

被引:24
|
作者
Meletiou-Mavrotheris, Maria [1 ]
Paparistodemou, Efi [2 ]
机构
[1] European Univ Cyprus, Nicosia, Cyprus
[2] Cyprus Pedag Inst, Nicosia, Cyprus
关键词
Samples and sampling; Sampling method; Statistical reasoning; Informal inferential reasoning; Informal statistical inference; Hypothetical learning trajectory;
D O I
10.1007/s10649-014-9551-5
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The expanding use of data in modern society for prediction and decision-making makes it a priority for mathematics instruction to help students build sound foundations of inferential reasoning at a young age. This study contributes to the emerging research literature on the early development of informal inferential reasoning through the conduct of a two-phase exploratory study carried out in an urban upper elementary school (Grades 4 to 6) in Cyprus. In Phase I, Grade 6 (11-year-old) students' initial understandings of samples and sampling were examined through an open-ended written assessment (n = 69), and follow-up interviews (n = 5). In Phase II, a teaching experiment guided by a hypothetical learning trajectory (HLT) was implemented in a Grade 6 classroom (n = 19). The HLT aimed to support the emergence of children's reasoning about sampling issues through the provision of an inquiry-based learning environment designed to offer ample opportunities for informal, data-based inferences. Findings indicate that the efforts of the teaching experiment to integrate the existing body of research into a HLT that starts with children's initial understandings supported students in moving towards more nuanced forms of reasoning about sampling.
引用
收藏
页码:385 / 404
页数:20
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