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This paper is from Session 6A: Research on statistical reasoning and thinking

which comes under Topic 6: Research in Statistics education             Full topic list

(Wednesday 5th, 11:00-12:30)

Investigating Statistical unusualness in the context of a resampling activity: students exploring connections between sampling distributions and statistical inference

Presenter

• Luis Saldanha (United States)

Co-author

• Patrick Thompson

Abstract

Reasoning proportionally about collections of a sample statistic’s values is central to developing a coherent understanding of statistical inference. This paper discusses key developments that unfolded in a classroom teaching experiment designed to support students constructing such understanding. Instruction engaged students in activities that focused their attention on the variability among outcomes of randomly drawn samples. There occurred a critical shift in students’ attention and discourse away from individual sample outcomes and toward the distribution of a collection of sample outcomes. This shift supported further developments concerning how to compare entire distributions of sample outcomes as a basis for conceptualizing a notion of statistical unusualness. We characterize aspects of these developments in relation to students’ classroom engagement.