Eye gaze patterns reveal how we reason about fractions

ABSTRACT

Fractions are defined by numerical relationships, and comparing two fractions’ magnitudes requires within-fraction (holistic) and/or between-fraction (componential) relational comparisons. To better understand how individuals spontaneously reason about fractions, we collected eye-tracking data while they performed a fraction comparison task with conditions that promoted or obstructed different types of comparisons. We found evidence for both componential and holistic processing in this mixed-pairs task, consistent with the hybrid theory of fraction representation. Additionally, making within-fraction eye movements on trials that promoted a between-fraction comparison strategy was associated with slower responses. Finally, participants who performed better on a non-numerical test of reasoning took longer to respond to the most difficult fraction trials, which suggests that those who had greater facility with non-numerical reasoning attended more to numerical relationships. These findings extend prior research and support the continued investigation into the mechanistic links between numerical and non-numerical reasoning.     

Solving distant analogies reduces belief-based responding in transitive inference

ABSTRACT

Previous research demonstrated that relational processing in transitive inference problems can be disrupted by belief-based content. Given the premises, The horse is larger than the goat, and The goat is larger than the elephant, accepting the valid conclusion, The horse is larger than the elephant suggests use of relational processing whereas accepting the invalid conclusion The elephant is larger than the horse indicates belief-based responding. This research examined whether solving analogies influenced participants’ reliance on belief-based or relational processing. Participants generated solutions to either distant analogies (e.g. nose:scent::antenna: ______) or near analogies (e.g. nose:scent::tongue:______) before evaluating the conclusions of transitive inference problems that were valid (V) or invalid (I) and believable (B), unbelievable (U) or neutral (N). Solving distant analogies eliminated belief-based responding (possibly reflecting improved inhibitory control) and facilitated relational responding on VU problems.     

Studying aggression in school children: The use of a wireless microphone and micro‐video camera

This paper describes a wireless microphone and micro‐video camera used successfully by the present authors to study direct, indirect, and relational forms of aggression in schools. Two major advantages of this equipment are identified; first, it avoids some of the potential biases and difficulties associated with the other methods and, second, it allows researchers to record and analyze a large number of significant variables that may otherwise be difficult to assess. The importance of this kind of data is discussed in relation to the development of effective interventions aimed at reducing aggression in schools. Aggr. Behav. 28:356–365, 2002. © 2002 Wiley‐Liss, Inc.     

Governors in the Legislative Arena: The Importance of Personality in Shaping Success

Research on the leadership of executives in the United States typically follows one of two traditions, emphasizing either characteristics of the incumbent or features of the office. This article brings together these traditions. It draws upon the work of Winter to develop measures of three aspects of personality—the power, achievement, and affiliation drives—and hypothesizes that the power and achievement motives are exhibited in conjunction by successful chief executives. It then tests this hypothesis within the contexts of the American states, thus accounting for both the leaders as individuals and the features of the political and economic environments in which they lead. The primary hypothesis is affirmed. Governors who exhibit high levels of the power and achievement motives in tandem are substantially more likely to achieve their policy goals. In addition, governors who emphasize affiliation are less successful.     

Assessing volunteer motives: a comparison of an open‐ended probe and Likert rating scales

The purpose of the present study was to compare the motives of volunteers (career, esteem, protective, social, understanding, and value) as assessed by an open‐ended probe and the Volunteer Functions Inventory (VFI) which employs a Likert rating scale. One‐hundred‐and‐twenty‐nine individuals, who volunteered for an organization that focuses on episodic volunteering in the community, completed both measures of volunteer motives and reported their frequency of volunteering for the organization. The Spearman rank correlation between the rankings of the six volunteer motives in the two distributions was 0.71. The maximum variance shared between the same motive as assessed by the two methods was 0.14. Frequency of volunteering for the organization was predicted by the value (positive predictor) and social (negative predictor) VFI scale scores. A post hoc analysis of the data from the open‐ended probe revealed three additional motives for volunteering—enjoyment, religiosity, and team building. Copyright © 2002 John Wiley & Sons, Ltd.     

Teaching Genesis: A Present-Day Approach Inspired by the Prophet Nathan

The prophets Nathan (2 Samuel 12:1–15) and John the Baptist (Mark 6:16–28) had comparable tasks before them: to convince their respective kings about the wrongs of taking somebody else's wife and marrying her. Nathan succeeded, while John failed and furthermore lost his life. What made the difference? One possible explanation is that Nathan proceeded in two steps: (1) Tell an interesting, nonthreatening story that nevertheless makes the point at issue; (2) transfer that message to the case at hand. In contrast, John used a direct approach, which raised apprehension, even fear (on the part of Herodias, the woman involved), and led to failure. That lesson has wider applications, as illustrated here for teaching the biblical Genesis narration. The other ingredient in this teaching is relational and contextual reasoning (RCR), the use of which is also indicated for other issues besides teaching Genesis.     

Relational aggression in college students: Examining the roles of social anxiety and empathy

This study examined the unique contributions of social anxiety and empathy to relational aggression in 300 19–to–25–year–old (M=21.25; SD=1.32) male (n=97) and female (n=203) college students using hierarchical linear regression analysis. The interactive relations between gender and social anxiety, and between gender and empathy, were also assessed. In addition to the gender and overt aggression covariates, fear of negative evaluation and perspective taking were unique predictors of relational aggression. Males, students who were more overtly aggressive, and those who reported greater fear of negative evaluation were more relationally aggressive than were peers. Students with higher levels of perspective taking reported using less relational aggression than did peers. A gender x empathetic concern interaction indicated that for males only, lower levels of empathetic concern were associated with higher levels of relational aggression. Results are discussed within a social information‐processing perspective. Aggr. Behav. 29:430–439, 2003. © 2003 Wiley‐Liss, Inc.     

Unique associations between anxiety,depression and motives for approach and avoidance goal pursuit

This study investigated the shared and distinct associations between depressive and anxious symptoms and motives for pursuing personal goals. One hundred and thirty-six undergraduates generated approach and avoidance goals and rated each on intrinsic, identified, introjected and external motives. Anxious and depressive symptoms showed significant unique associations with distinct motives. Specifically, depressive symptoms predicted significant unique variance in intrinsic motivation for approach goals (but not avoidance goals), whereas anxious symptoms predicted significant unique variance in introjected regulation for approach and avoidance goals. Some of these findings were moderated by gender. The findings broadly support the notion that depression is uniquely characterised by reduced enjoyment of approach goal pursuit whereas anxiety is uniquely characterised by pursuit of goals in order to avoid negative outcomes. We suggest that these findings are compatible with regulatory focus theory and suggest that motives for goal pursuit are important in understanding the relation between goals and specific mood disorder symptoms.