Change point detection tasks to explore students’ informal inferential reasoning

Joachim Engel ()
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Joachim Engel: Pädagogische Hochschule Ludwigsburg, Institut für Mathematik und Informatik

Chapter Chapter 9 in Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics, 2014, pp 113-125 from Springer

Abstract: Abstract 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 Zieffler et al. (2008) and demonstrated in an empirical study with second-year pre-service teachers.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-658-03104-6_9

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DOI: 10.1007/978-3-658-03104-6_9

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