id: 06310439
dt: a
an: 2014e.00785
au: Engel, Joachim
ti: Change point detection tasks to explore students’ informal inferential
reasoning.
so: Wassong, Thomas (ed.) et al., Mit Werkzeugen Mathematik und Stochastik
lernen. Heidelberg: Springer Spektrum (ISBN 978-3-658-03103-9/pbk;
978-3-658-03104-6/ebook). 113-125 (2014).
py: 2014
pu: Heidelberg: Springer Spektrum
la: EN
cc: K79
ut: inferential statistics; change point detection; inferential reasoning;
informal inference
ci: ME 2009e.00120
li: doi:10.1007/978-3-658-03104-6_9
ab: Summary: Inferential statistics is the scientific method for evidence-based
knowledge acquisition. However, the logic behind statistical inference
is difficult for students to understand. Recent research has focused on
learners’ informal and intuitive ideas of inferential reasoning
rather than on mastery of formal mathematical procedures. In this paper
we consider a particular type of statistical decision problem. In
change-point detection tasks, one must decide if a process is running
smoothly or if it is out of control. It is argued that change-point
detection tasks constitute a prime environment in which to investigate
students’ informal inferential reasoning. This claim is backed
theoretically through reference to a framework by {\it A. Zieffler} et
al. [Stat. Educ. Res. J. 7, No. 2, 40‒58 (2008; ME 2009e.00120)] and
demonstrated in an empirical study with second-year pre-service
teachers.
rv: