
06310439
a
2014e.00785
Engel, Joachim
Change point detection tasks to explore students' informal inferential reasoning.
Wassong, Thomas (ed.) et al., Mit Werkzeugen Mathematik und Stochastik lernen. Heidelberg: Springer Spektrum (ISBN 9783658031039/pbk; 9783658031046/ebook). 113125 (2014).
2014
Heidelberg: Springer Spektrum
EN
K79
inferential statistics
change point detection
inferential reasoning
informal inference
ME 2009e.00120
doi:10.1007/9783658031046_9
Summary: Inferential statistics is the scientific method for evidencebased 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 changepoint detection tasks, one must decide if a process is running smoothly or if it is out of control. It is argued that changepoint 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, 4058 (2008; ME 2009e.00120)] and demonstrated in an empirical study with secondyear preservice teachers.