id: 06592550
dt: j
an: 2016d.00839
au: Foster, Colin
ti: Confidence trick: the interpretation of confidence intervals.
so: Can. J. Sci. Math. Technol. Educ. 14, No. 1, 23-34 (2014).
py: 2014
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: K70
ut: confidence intervals; statistics
ci:
li: doi:10.1080/14926156.2014.874615
ab: Summary: The frequent misinterpretation of the nature of confidence
intervals by students has been well documented. This article examines
the problem as an aspect of the learning of mathematical definitions
and considers the tension between parroting mathematically rigorous,
but essentially uninternalized, statements on the one hand and
expressing imperfect but developing understandings on the other. A
small-scale study among schoolteachers sought comments on four
definitions expressing differing understandings of confidence
intervals, and these are examined and discussed. The article concludes
that some student wordings could be regarded as less inaccurate than
they might seem at first sight and presents a case for accepting a
wider range of more intuitive understandings as a work in progress
rv: