Local and global thinking in statistics inference
Pratt, D. (Dave), Johnston‐Wilder, Peter, Ainley, Janet and Mason, John. (2008) Local and global thinking in statistics inference. Statistics Education Research Journal, Vol.7 (No.2). pp. 107-129. ISSN 1570-1824Full text not available from this repository.
Official URL: http://www.stat.auckland.ac.nz/~iase/publications....
In this reflective paper, we explore students' local and global thinking about informal statistical inference through our observations of 10- to 11-year-olds, challenged to infer the unknown configuration of a virtual die, but able to use the die to generate as much data as they felt necessary. We report how they tended to focus on local changes in the frequency or relative frequency as the sample size grew larger. They generally failed to recognise that larger samples provided stability in the aggregated proportions, not apparent when the data were viewed from a local perspective. We draw on Mason's theory of the Structure of Attention to illuminate our observations, and attempt to reconcile differing notions of local and global thinking.
|Item Type:||Journal Article|
|Subjects:||L Education > LB Theory and practice of education
Q Science > QA Mathematics
|Divisions:||Faculty of Social Sciences > Institute of Education ( -2013)|
|Library of Congress Subject Headings (LCSH):||Mathematical statistics -- Study and teaching (Elementary), Probabilities -- Study and teaching (Elementary), Inference|
|Journal or Publication Title:||Statistics Education Research Journal|
|Publisher:||International Association for Statistical Education|
|Official Date:||November 2008|
|Page Range:||pp. 107-129|
|Access rights to Published version:||Restricted or Subscription Access|
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