The Intuitiveness of the Law of Large Numbers

Autor/in	Lem, Stephanie
Titel	The Intuitiveness of the Law of Large Numbers
Quelle	In: ZDM: The International Journal on Mathematics Education, 47 (2015) 5, S.783-792 (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1863-9690
DOI	10.1007/s11858-015-0676-5
Schlagwörter	Intuition; Numbers; Mathematics Instruction; Mathematical Logic; Short Term Memory; Priming; Cognitive Processes; Difficulty Level; Theories; Mathematical Concepts + Suchen Sie Ihr Suchwort? Zahlenraum; Mathematics lessons; Mathematikunterricht; Mathematical logics; Mathematische Logik; Kurzzeitgedächtnis; Cognitive process; Kognitiver Prozess; Schwierigkeitsgrad; Theory; Theorie
Abstract	In this paper two studies are reported in which two contrasting claims concerning the intuitiveness of the law of large numbers are investigated. While Sedlmeier and Gigerenzer ("J Behav Decis Mak" 10:33-51, 1997) claim that people have an intuition that conforms to the law of large numbers, but that they can only employ this intuition in specific circumstances, Kahneman and Tversky ("Cogn Psychol" 3:430-454, 1972) claim that people have an intuition that prohibits them from correctly applying the law of large numbers to certain tasks, making it necessary to reason analytically and inhibit the intuitive response. The dual processing theory of reasoning was used as the theoretical framework to study these two claims, while priming and a working memory load method were used to study the claims in more detail. No evidence was found for the claims of Sedlmeier and Gigerenzer ("J Behav Decis Mak" 10:33-51, 1997). Various possible explanations for the results are provided and options for further research are suggested. (As Provided).
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Update	2020/1/01