TY - JOUR

T1 - On the sophistication of naïve empirical reasoning

T2 - Factors influencing mathematicians' persuasion ratings of empirical arguments

AU - Weber, Keith

PY - 2013

Y1 - 2013

N2 - This paper presents the results of an experiment in which mathematicians were asked to rate how persuasive they found two empirical arguments. There were three key results from this study: (a) Participants judged an empirical argument as more persuasive if it verified that integers possessed an infrequent property than if it verified that integers lacked such a property. (b) Participants judged an empirical argument about modular congruence as more persuasive than an empirical argument about generating primes, suggesting that empirical arguments might be more convincing in some domains than others. (c) There was a marginally statistical effect between mathematical field of study and level of persuasion, with applied mathematicians finding empirical arguments more persuasive than pure mathematicians.

AB - This paper presents the results of an experiment in which mathematicians were asked to rate how persuasive they found two empirical arguments. There were three key results from this study: (a) Participants judged an empirical argument as more persuasive if it verified that integers possessed an infrequent property than if it verified that integers lacked such a property. (b) Participants judged an empirical argument about modular congruence as more persuasive than an empirical argument about generating primes, suggesting that empirical arguments might be more convincing in some domains than others. (c) There was a marginally statistical effect between mathematical field of study and level of persuasion, with applied mathematicians finding empirical arguments more persuasive than pure mathematicians.

KW - argument evaluation

KW - empirical evidence

KW - mathematicians

UR - http://www.scopus.com/inward/record.url?scp=84879671709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879671709&partnerID=8YFLogxK

U2 - 10.1080/14794802.2013.797743

DO - 10.1080/14794802.2013.797743

M3 - Article

AN - SCOPUS:84879671709

SN - 1479-4802

VL - 15

SP - 100

EP - 114

JO - Research in Mathematics Education

JF - Research in Mathematics Education

IS - 2

ER -