A conceptual pathway to confidence intervals.

Autor/inn/en	Pfannkuch, Maxine; Wild, Chris J.; Parsonage, Ross
Titel	A conceptual pathway to confidence intervals.
Quelle	In: ZDM : mathematics education, 44 (2012) 7, S. 899-911 PDF als Volltext Link als defekt meldenVerfügbarkeit
Sprache	englisch
Dokumenttyp	online; gedruckt; Zeitschriftenaufsatz
ISSN	1863-9690; 1863-9704
DOI	10.1007/s11858-012-0446-6
Schlagwörter	Visuelle Vorstellung; Stochastik; Sekundarbereich; Schüler; Mathematikunterricht; Wahrscheinlichkeitsrechnung; Statistik; Konzeption; Student
Abstract	Finding ways for the majority of students to better understand conventional normal theory-based statistical inference seems to be an intractable problem area for researchers. In this paper we propose a conceptual pathway for developing confidence interval ideas for the one-sample situation only from an intuitive sense to bootstrapping for students from about age 14 to first-year university. We make the case that conceptual development should start early; that probability and statistical instruction should change so that both orientate students towards interconnected stochastic conceptions; and that the use of visual imagery has the potential to stimulate students towards such a perspective. We analyse our conceptual pathway based on a theoretical framework for a stochastic conception of statistical inference based on imagery and some research evidence. Our analysis suggests that the pathway has the potential for students to become conversant with the concepts underpinning inference, to view statistics probabilistically and to integrate concepts into a coherent comprehension of inference.
Erfasst von	FIZ Karlsruhe - Leibniz-Institut für Informationsinfrastruktur
Update	2013/2