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EMERGENCE OF REASONING ABOUT SAMPLING AMONG YOUNG STUDENTS IN THE CONTEXT OF INFORMAL INFERENTIAL REASONING

机译:非正式推理推理背景下对年轻学生抽样的推理

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This paper discusses students' evolving statistical reasoning about randomness and sampling in the context of inquiry-based activities designed to develop their informal inferential reasoning (IIR). The knowledge of sampling and randomness are key concepts to understanding statistical inference (Garfield & Ben-Zvi, 2008). In the 'Connections' project (Ben-Zvi, Gil & Apel, 2007), sixth grade students were engaged in an inquiry-based learning environment using TinkerPlots (Konold & Miller, 2005) that was designed to develop their IIR. In this design experiment (Brown, 1992; Collins, 1992), the students' intuitive concepts of sampling and randomness were used to design instructional activities that nurture the emergence of ideas of random vs. biased sample and inference. This knowledge was later applied by the students to investigate authentic data and draw informal statistical inferences from a random sample to a population.
机译:本文讨论了学生在旨在开发其非正式推理推理(IIR)的基于查询的活动中的随机性和抽样的演变统计推理。 对抽样和随机性的了解是了解统计推理的关键概念(Garfield&Ben-ZVI,2008)。 在“连接”项目(本ZVI,Gil&Apel,2007)中,六年级的学生使用Tinkerplots(Konold&Miller,2005)旨在开发他们的IIR的询问学习环境。 在这个设计实验中(Brown,1992; Collins,1992),学生的采样和随机性的直观概念用于设计培育随机与偏见样本和推理的思想的出现的教学活动。 这些知识后来被学生申请调查真实数据并从随机样本到人口的非正式统计推论。

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