Young children's non‐numerical ordering ability at the start of formal education longitudinally predicts their symbolic number skills and academic achievement in maths

Ordinality is a fundamental feature of numbers and recent studies have highlighted the role that number ordering abilities play in mathematical development (e.g., Lyons et al., 2014 ), as well as mature mathematical performance (e.g., Lyons & Beilock, 2011 ). The current study tested the novel hypothesis that non‐numerical ordering ability, as measured by the ordering of familiar sequences of events, also plays an important role in maths development. Ninety children were tested in their first school year and 87 were followed up at the end of their second school year, to test the hypothesis that ordinal processing, including the ordering of non‐numerical materials, would be related to their maths skills both cross‐sectionally and longitudinally. The results confirmed this hypothesis. Ordinal processing measures were significantly related to maths both cross‐sectionally and longitudinally, and children's non‐numerical ordering ability in their first year of school (as measured by order judgements for everyday events and the parents’ report of their child's everyday ordering ability) was the strongest longitudinal predictor of maths one year later, when compared to several measures that are traditionally considered to be important predictors of early maths development. Children's everyday ordering ability, as reported by parents, also significantly predicted growth in formal maths ability between Year 1 and Year 2, although this was not the case for the event ordering task. The present study provides strong evidence that domain‐general ordering abilities play an important role in the development of children's maths skills at the beginning of formal education.     

The Compositionality of Logical Connectives in Child Italian

This paper investigates the interpretation that Italian-speaking children and adults assign to negative sentences with disjunction and negative sentences with conjunction. The aim of the study was to determine whether children and adults assign the same interpretation to these types of sentences. The Semantic Subset Principle (SSP) (Crain et al., in: Clifton, Frazer, Rayner (eds) Perspective on sentence processing, Lawrence Erlbaum, Hillside, 1994) predicts that children’s initial scope assignment should correspond to the interpretation that makes sentences true in the narrowest range of circumstances, even when this is not the interpretation assigned by adults. This prediction was borne out in previous studies in Japanese, Mandarin and Turkish. As predicted by the SSP, the findings of the present study indicate that Italian-speaking children and adults assign the same interpretation to negative sentences with conjunction (conjunction takes scope over negation). By contrast, the study revealed that some children differed from adults in the interpretation they assigned to negative sentences with disjunction. Adults interpreted disjunction as taking scope over negation, whereas children were divided into two groups: one group interpreted disjunction as taking scope over negation as adults did; another group interpreted negation as taking scope over disjunction, as predicted by the SSP. To explain the findings, we propose that Italian-speaking children initially differ from adults as dictated by the SSP, but children converge on the adult grammar earlier than children acquiring other languages due to the negative concord status of Italian, including the application of negative concord to sentences with disjunction.     

Sexual‐perception processes in acquaintance‐targeted sexual aggression

This study analyzes data from seven published studies to examine whether three performance‐based indices of men's misperception of women's sexual interest (MSI), derived from a self‐report questionnaire, are associated with sexual‐aggression history, rape‐supportive attitudes, sociosexuality, problem drinking, and self‐reported MSI. Almost 2000 undergraduate men judged the justifiability of a man's increasingly unwanted advances toward a woman on the Heterosocial Perception Survey‐Revised. Participants self‐reported any sexual‐aggression history, and some completed questionnaires assessing rape‐supportive attitudes, sociosexuality, problem drinking, and self‐reported MSI. A three‐parameter logistic function was fitted to participants’ justifiability ratings within a non‐linear mixed‐effects framework, which provided precise participant‐specific estimates of three sexual‐perception processes (baseline justifiability, bias, and sensitivity). Sexual‐aggression history and rape‐supportive attitudes predicted: (a) reduced sensitivity to women's affect; (b) more liberal biases, such that the woman's affect had to be more negative before justifiability ratings dropped substantially; and (c) greater baseline justifiability of continued advances after a positive response. Sexual‐aggression history and attitudes correlated more strongly with sensitivity than baseline justifiability; remaining variables showed the opposite pattern. This work underscores the role of sexual‐perception processes in sexual aggression and illustrates the derivation of performance‐based estimates of sexual‐perception processes from questionnaire responses.

     

A sound effect: Exploration of the distinctiveness advantage in voice recognition

Two experiments are presented, which explore the presence of a distinctiveness advantage when recognising unfamiliar voices. In Experiment 1, distinctive voices were recognised significantly better, and with greater confidence, in a sequential same/different matching task compared with typical voices. These effects were replicated and extended in Experiment 2, as distinctive voices were recognised better even under challenging listening conditions imposed by nonsense sentences and temporal reversal. Taken together, the results aligned well with similar results when processing faces, and provided a useful point of comparison between voice and face processing.     

Different sides of the same conversation: Black and White partners differ in perceptions of interaction content

A positive interracial interaction can create a foundation for friendships, improved intergroup attitudes and reduced prejudice. Recent research has demonstrated that what people talk about in important. Here, two studies expand the interaction content model of interracial interactions to reveal that Black and White Americans perceive interaction content in similar and different ways. As expected, Black and White participants evaluated conversation topics along the same three dimensions, but differed in their perceptions of specific conversation topics. These convergences and differences emerged for pre‐generated (Study 1) and self‐generated (Study 2) topics. Factor analyses revealed that conversation attributes similarly distilled to the predicted underlying content dimensions of intimacy, valence, and controversy for Black and White Americans. However, Black individuals found interaction content, in general, to be more controversial, race‐related, enjoyable, and predictable than White individuals. Although both groups found race‐related content more controversial, Black individuals were less bothered by discussing race and found race‐related topics to be more predictable and enjoyable to discuss. These findings supported the interaction content model which may provide a framework for future research on interracial interactions. We conclude with the importance of considering differences in perceptions of interaction content, as well as suggestions for how intergroup interaction research could benefit from systematically incorporating such content.     

Infinity and a Critical View of Logic

Abstract

The paper explores the view that in mathematics, in particular where the infinite is involved, the application of classical logic to statements involving the infinite cannot be taken for granted. L. E. J. Brouwer’s well-known rejection of classical logic is sketched, and the views of David Hilbert and especially Hermann Weyl, both of whom used classical logic in their mathematical practice, are explored. We inquire whether arguments for a critical view can be found that are independent of constructivist premises and consider the entanglement of logic and mathematics. This offers a convincing case regarding second-order logic, but for first-order logic, it is not so clear. Still, we ask whether we understand the application of logic to the higher infinite better than we understand the higher infinite itself.