id: 06628907
dt: j
an: 2016e.00917
au: Jacob, Bridgette; Doerr, Helen M.
ti: Statistical reasoning with the sampling distribution.
so: Quadrante 23, No. 2, 123-146 (2014).
py: 2014
pu: Associação de Professores de Matemática (APM), Lisboa
la: EN
cc: K70
ut: statistics education; sampling distribution; inferential reasoning
ci:
li:
ab: Summary: Statistical reasoning surrounding the sampling distribution is
necessary for formal statistical inference. Our study of introductory
statistics students aged 16‒18 suggests that knowledge of the
characteristics of a sampling distribution and experiences with
generating sampling distributions do not provide a sufficient basis for
this reasoning. Following instruction on the sampling distribution and
its characteristics, the students in this study were given the
opportunity to draw a sample before making an informal inference based
on a sampling distribution. The majority of the students took several
samples and/or considered generating a second sampling distribution for
comparison. These are not incorrect statistical notions; but instead
indicate that their statistical reasoning with the sampling
distribution was still developing. The results are discussed in
relation to students’ prior informal inferential reasoning and their
subsequent formal inferential reasoning.
rv: