Mathematical symbols as epistemic actions

Recent experimental evidence from developmental psychology and cognitive neuroscience indicates that humans are equipped with unlearned elementary mathematical skills. However, formal mathematics has properties that cannot be reduced to these elementary cognitive capacities. The question then arises how human beings cognitively deal with more advanced mathematical ideas. This paper draws on the extended mind thesis to suggest that mathematical symbols enable us to delegate some mathematical operations to the external environment. In this view, mathematical symbols are not only used to express mathematical concepts??they are constitutive of the mathematical concepts themselves. Mathematical symbols are epistemic actions, because they enable us to represent concepts that are literally unthinkable with our bare brains. Using case-studies from the history of mathematics and from educational psychology, we argue for an intimate relationship between mathematical symbols and mathematical cognition.     

Memory as discrimination: What distraction reveals

Recalling information involves the process of discriminating between relevant and irrelevant information stored in memory. Not infrequently, the relevant information needs to be selected from among a series of related possibilities. This is likely to be particularly problematic when the irrelevant possibilities not only are temporally or contextually appropriate, but also overlap semantically with the target or targets. Here, we investigate the extent to which purely perceptual features that discriminate between irrelevant and target material can be used to overcome the negative impact of contextual and semantic relatedness. Adopting a distraction paradigm, it is demonstrated that when distractors are interleaved with targets presented either visually (Experiment 1) or auditorily (Experiment 2), a within-modality semantic distraction effect occurs; semantically related distractors impact upon recall more than do unrelated distractors. In the semantically related condition, the number of intrusions in recall is reduced, while the number of correctly recalled targets is simultaneously increased by the presence of perceptual cues to relevance (color features in Experiment 1 or speaker’s gender in Experiment 2). However, as is demonstrated in Experiment 3, even presenting semantically related distractors in a language and a sensory modality (spoken Welsh) distinct from that of the targets (visual English) is insufficient to eliminate false recalls completely or to restore correct recall to levels seen with unrelated distractors . Together, the study shows how semantic and nonsemantic discriminability shape patterns of both erroneous and correct recall.     

Confronting Math Stereotypes in the Classroom: Its Effect on Female College Students’ Sexism and Perceptions of Confronters

Women often face sexism and stereotypes about their academic ability, and this makes it important to examine the effects of confronting sexism in the college classroom. The current research consisted of 2 studies of how witnessing a confrontation of a sexist stereotype in the classroom affects female students’ perceptions of the confronters and self-reported sexism. The samples consisted of female students from a public college in the Northeastern U.S. who provided their perceptions of teachers described in vignettes as either confronting or not confronting a student’s stereotype of women as unskilled at math. In Study 1 (N?=?48) perceptions of the teacher were more positive when confronting the stereotype, and students’ self-reported sexism was reduced when the teacher confronted rather than ignored the stereotype. Study 2 (N?=?56) compared the effects of a teacher versus a student confrontation of the same stereotype. Participants perceived the teacher and student more positively when they confronted rather than ignored the stereotype. However, the source of the confrontation yielded no differences in sexism. These results suggest that students want their teachers to respond to bias in the classroom and that teachers should respond to sexist incidents in order to reduce the level of sexism among their students.     

Tom Thumb in hospital: The fairy tale workshop in a paediatric oncology and haematology ward

Abstract

Definitions of and attitudes towards countertransference have changed throughout the twentieth century. From being seen as a contaminant in the analytical process, countertransference has come to be seen by many therapists as a potentially useful source of information about a client and his or her problems. There are dangers as well as benefits associated with analysis and utilization of countertransference. This article reviews these issues and proposes some guidelines that therapists may find useful when contemplating their countertransference reactions to clients, and when considering how best to utilize these.     

A Cross-Country Evaluation of Cheating in Academia—A Comparison of Data from the US and the Czech Republic

In this study, we examine differences in cheating behaviors in higher education between two countries, namely the United States and the Czech Republic, which differ in many social, cultural and political aspects. We compare a recent (2011) Czech Republic survey of 291 students to that of 268 students in the US (Klein et al., 2007). For all items surveyed, CR students showed a higher propensity to engage in cheating. Additionally, we found more forms of serious cheating present in the Czech sample. In all cases, the differences between the US and Czech samples were statistically significant.     

Perceived stress and everyday memory complaints among older adult women

Abstract

Memory complaints among older adults are often influenced by depression and anxiety, but the association of stress to memory complaints has received little attention. We examined the associations of perceived stress, life events, and activity level to everyday memory complaints among healthy older women, while controlling for the influence of depression and anxiety. Participants (N=54) completed self-report questionnaires on memory complaints, perceived stress, recent life events, activity level, depression, and anxiety. Partial correlation analyses indicated that higher levels of perceived stress were associated with higher levels of memory complaints when controlling for the influence of depression and anxiety, but that life events and activity level were not related to memory complaints. This study highlights that perceived stress, like depression and anxiety, is a psychological factor that influences the appraisal of cognitive ability; however, larger and more heterogeneous samples will be needed to better understand the multifactorial nature of memory complaints in older adulthood.     

Surviving and Thriving in a Secularized Culture: The Phenomenon of Religious (Church/Faith) Schools in England

While the mainstream churches are being increasingly ignored as religious institutions in rapidly secularizing England, their schools survive and, in many instances, thrive. These schools, financed by public funds, are an increasingly important part of the English state schooling system. It would appear that their survival and expansion has been driven by increased societal emphasis on academic success, which, in the main, these schools provide. What are the implications of this in terms of social divisiveness and what is the response of the churches themselves in terms of their role in the communities they serve? While the arguments for and against are entered into by a small number of commentators, it is perhaps significant that the once politically sensitive area of church/faith schools is still left alone by politicians.     

The partial-reinforcement extinction effect and the contingent-sampling hypothesis

The partial-reinforcement extinction effect (PREE) implies that learning under partial reinforcements is more robust than learning under full reinforcements. While the advantages of partial reinforcements have been well-documented in laboratory studies, field research has failed to support this prediction. In the present study, we aimed to clarify this pattern. Experiment 1 showed that partial reinforcements increase the tendency to select the promoted option during extinction; however, this effect is much smaller than the negative effect of partial reinforcements on the tendency to select the promoted option during the training phase. Experiment 2 demonstrated that the overall effect of partial reinforcements varies inversely with the attractiveness of the alternative to the promoted behavior: The overall effect is negative when the alternative is relatively attractive, and positive when the alternative is relatively unattractive. These results can be captured with a contingent-sampling model assuming that people select options that provided the best payoff in similar past experiences. The best fit was obtained under the assumption that similarity is defined by the sequence of the last four outcomes.     

Personal Constructs of Mind-Body Identity in People Who Experience Medically Unexplained Symptoms

“Medically unexplained symptoms” (MUS) refers to chronic physical symptoms without a clear medical cause, which produce significant levels of distress and functional impairment. This project modified the repertory grid technique to explore how twenty participants experiencing MUS construed self and others in bodily and psychological ways. Findings suggested that symptoms are well integrated within participants' wider mind–body construct systems. Increased distance between how self in general is construed compared to self when symptoms are worst was associated with reduced anxiety. Measuring intrapersonal and interpersonal implicative dilemmas suggested that moral and relational construing of identity is affected by MUS.