Working memory demands of exact and approximate addition

We compared the working memory requirements of two forms of mental addition: exact calculation (e.g., 63 + 49 = 112) and approximation (e.g., 63 + 49 is about 110). In two experiments, participants solved two-digit addition problems (e.g., 63 + 49) alone and in combination with a working memory task (i.e., remembering four consonants). In Experiment 1, participants chose an answer from two alternatives (e.g., exact: 112 vs. 122; approximate: 110 vs. 140). In Experiment 2, participants responded verbally with exact or approximate answers. In both experiments, the working memory load impaired exact and approximate addition performance, but exact addition was affected more. Load also impaired performance on problems with a carry operation in the units (e.g., 28 + 59 or 76 + 57) more than on problems without a unit carry (e.g., 24 + 53 or 76 + 52). These results identify the carry operation as the source of the working memory demands in multidigit addition.     

Sexuality and Religious Commitment in the United States: An Empirical Examination

I provide an empirical assessment of the religious commitments of gays, lesbians, and bisexuals in the United States. I compare the religiosity of gay men and lesbians and bisexuals to each other and to male and female heterosexuals, while controlling for a host of sociodemographic factors that may contribute to differences across the gender/sexuality groups. To accomplish this, I examine data from the 1991–2000 General Social Surveys (GSS). During this period, the GSS asked respondents for the sex of their sex partners over the last five years. The GSS finds that 4.3 percent of men and 3.1 percent of women report same-sex sexual partners in the five years preceding the interview—this is a larger proportion than members of "other" races, Episcopalians, or Jews. I find that gay men have high rates of religious participation, while lesbians and bisexuals have significantly lower rates of participation. Nonheterosexuals are more likely to become apostates when compared to female heterosexuals, but no more so than are heterosexual men. My findings are at odds with religious pundits who suggest that alternative sexuality mixes with religion more often for females than for males. The results are in concert with contemporary theories regarding the formation of religious preferences, and risk preferences and religiosity.     

Misrepresentation in the Consumer Context

Research in social psychology suggests that motives such as self‐bolstering and impression management can lead people to engage in deliberate misrepresentations during interpersonal communications. This article extends our understanding of such behavior to a new domain; that of consumer communications. Drawing on research on lying behavior and symbolic consumption, we suggest that misrepresentation about products and possessions is particularly likely to occur when these products or possessions are used to create a positive self‐image in the context of social interaction. Experiments 1 and 2 simulate a social interaction wherein misrepresentation about the purchase price of a product helps participants to manage impressions. A third experiment extends these findings by testing for wealth‐related misrepresentation in the context of an interaction wherein participants actually communicate their family's wealth to a recipient. Consistent with predictions derived from existing research on symbolic consumption, all 3 experiments provide support for the critical importance of recipient status on the likelihood of misrepresentation. The first 2 experiments additionally examine the role of individual differences and brand differences. Results on these dimensions are also supportive of our underlying theoretical premise regarding the antecedents of lying behavior.     

Fairness and Discounts: The Subjective Value of a Bargain

In this work, we examined the surprising value consumers attach to getting a bargain. Past research has largely understood this phenomenon in terms of the impact discounts have on perceptions of fairness. However, the evidence for this explanation is inconclusive due to a number of viable alternatives as well as issues relating to construct and external validity. The experiments we report here provide clearer evidence for the basic assertion that discounts increase purchase satisfaction due to the nonfinancial rewards that are associated with perceptions of fairness. Furthermore, current notions of fairness in the promotion literature are extended by showing that social cues such as the relative size of the discount received by another customer and the loyalty status of that customer can also have an important impact on fairness and purchase satisfaction. We suggest an integration of transaction utility theory (Thaler, 1985) and equity theory (Bagozzi, 1975) to account for these findin     

Is Political Cognition Like Riding a Bicycle? How Cognitive Neuroscience Can Inform Research on Political Thinking

Our understanding of political phenomena, including political attitudes and sophistication, can be enriched by incorporating the theories and tools of cognitive neuroscience—in particular, the cognitive neuroscience of nonconscious habitual cognition (akin to bicycle riding). From this perspective, different types of informational "building blocks" can be construed from which different types of political attitudes may arise. A reflection-reflexion model is presented that describes how these blocks combine to produce a given political attitude as a function of goals, primes, expertise, and inherent conflict in considerations relevant to the attitude. The ways in which neuroimaging methods can be used to test hypotheses of political cognition are reviewed.     

The internal representation of numbers

A principle of second-order isomorphism asserts that the functional similarities among internal representations parallel the structural similarities among the external objects to which those representations correspond. In accordance with this principle, subjects were asked to rate the similarities of all pairs of the numbers 0 through 9 in each of 24 conditions distinguished by the forms into which they were to be mentally transformed and then judged-including the visual forms of rows of dots and Arabic numerals, the auditory form of spoken English names, and the amodal form of the abstract concepts of the integers themselves. Similarity ratings were found to depend entirely upon the form in which the numbers were to be judged and not at all upon the form in which they were actually presented. Regardless of the form presented, multidimensional scaling solutions for each of the 24 conditions were readily interpretable in terms of structural properties of the form judged-curvature and closure for visual numerals; number of syllables, initial consonant, and vowel phoneme for auditory names; and numerical magnitude, odd-evenness, etc., for abstract concepts. Reanalyses of chronometric data are presented to illustrate how a fuller understanding of human cognitive processes may be attainable by using such structural models of internal representation in conjunction with studies of overt confusion and reaction time.     

The time required to prepare for a rotated stimulus

Average time required to determine whether an alphanumeric character was presented in its normal version or as its mirror image increased from 500 msec to 1,000 msec as its angular departure from upright increased from 0 to 180 deg. However, when Ss already knew the identity of the upcoming character and when advance information as to its orientation was available for 1,000 msec, this reaction time was reduced to about 400 msec regardless of the orientation of the test stimulus. In this case, Ss claimed that they could prepare for the rotated stimulus by imagining the normal version of the designated character rotated into the indicated orientation and that they could then rapidly test for a match against the ensuing stimulus.     

Perceptual-cognitive explorations of a toroidal set of free-form stimuli

A polar-coordinate analogue of Fourier synthesis generates organic-appearing “free forms” that can be continuously deformed along any desired number of difficult-to-verbalize dimensions. Since the dimensions are also circular, the forms correspond to points on the surface of a torus which, though conveniently finite, is free of bounding edges. Two experiments explore a particular two-dimensional set of 81 such forms. The first shows that perceived pair-wise similarities among the individual forms are well explained purely in terms of the distances among their corresponding points in the toroidal parameter space. The second, however, establishes that forms that tend to be grouped together as having the same cognitive interpretation define regions in parameter space that are variously shaped or even bimodal and, hence, that cannot be explained solely on the basis of the fixed set of pair-wise similarities. The stimuli appear to offer a novel combination of cognitive richness and low-dimensional parametric control.