Development of Mathematical Knowledge in Young Children: Attentional Skill and the Use of Inversion

The principle of inversion, that a + b ? b must equal a, is a fundamental property of arithmetic, but many children fail to apply it in symbolic contexts through 10 years of age. We explore three hypotheses relating to the use of inversion that stem from a model proposed by Siegler and Araya (2005 Siegler , R. S. , &; Araya , R. ( 2005 ). A computational model of conscious and unconscious strategy discovery . In R. V. Kail (Ed.), Advances in child development and behavior (pp. 1 – 42 ). New York , NY : Elsevier .[Crossref] , [Google Scholar]). Hypothesis 1 is that greater calculational skill is related to greater use of inversion. Hypothesis 2 is that greater attentional skill is related to greater use of inversion. Hypothesis 3 is that the relation between attentional skill and the use of inversion is particularly strong among children with high skill in calculation. We found suggestive evidence for Hypothesis 2 and clear evidence for Hypothesis 3, indicating that for children who are strong at calculation, attentional flexibility is related to use of inversion.     

Emotional reactivity following surgery to the prefrontal cortex

We aimed to elicit emotion in patients with surgically circumscribed lesions of the prefrontal cortex (PFC) in order to elucidate the precise functional roles in emotion processing of the discrete subregions comprising the ventromedial PFC, including the medial PFC and orbitofrontal cortex (OFC). Three components of emotional reactivity were measured: subjective experience, behaviour, and physiological response. These included measures of self‐reported emotion, observer‐rated facial expression of emotion and measurements of heart rate and heart rate variability (HRV) during film viewing, and a measure of subjective emotional change since surgery. Patients with lesions to the ventromedial PFC demonstrated significant differences compared with controls in HRV during the film clips, suggesting a shift to greater dominance of sympathetic input. In contrast, patients with lesions restricted to the OFC showed significant differences in HRV suggesting reduced sympathetic input. They also showed less facial expression of emotion during positive film clips, and reported more subjective emotional change since surgery compared with controls. This human lesion study is important for refining theoretical models of emotion processing by the ventromedial PFC, which until now have primarily been based on anatomical connectivity, animal lesion, and human functional neuroimaging research. Such theories have implications for the treatment of a wide variety of emotional disorders.     

Leslie on generics

This paper offers three objections to Leslie’s recent and already influential theory of generics (Leslie in Philos Perspect 21(1):375–403, 2007a, Philos Rev 117(1):1–47, 2008): (i) her proposed metaphysical truth-conditions are subject to systematic counter-examples, (ii) the proposed disquotational semantics fails, and (iii) there is evidence that generics do not express cognitively primitive generalisations.     

Student-produced representations as a means for interrupting the flow of an interview / Representaciones producidas por una alumna para interrumpir el flujo de una entrevista

Abstract

This work provides evidence that children as young as six years old successfully leverage written representations to their own purposes. During a modified clinical interview, Maggie created an idiosyncratic written representation to negotiate understanding of the interview task. In this move, Maggie shifted her role in the interview from sharing her own thinking to understanding the interviewer’s thinking. Her representations were not strictly for communication but also for control. This fleeting but illuminating episode points to young children’s intuitive perspective on written representations as a cultural tool.     

A first grade student’s exploration of variable and variable notation / Una alumna de primer grado explora las variables y su notación

Abstract

This paper presents a case study of a first grade student to illustrate the diversity of her understandings related to variables and variable notation. While prior research has documented secondary school students’ difficulties with variables and variable notation, we identify many productive understandings in this much younger student, leading us to question the prevailing argument that students might have difficulties with variables due mostly to their own limitations. We draw our data from a teaching experiment that explored functional relationships. Individual interviews were carried out with a subset of the students in the experiment prior to, as well as mid-way through and at the end of the experiment. This paper focuses on a set of three interviews with one of the first grade students. We illustrate the shifts that occurred in the student’s understandings about variables and variable notation across as well as within each of the three interviews.     

Gender Differences in the Correlates of Self-Referent Word Use: Authority, Entitlement, and Depressive Symptoms

ABSTRACT Past research shows that self-focused attention is robustly positively related to depression, and women are more likely than men to self-focus in response to depressed mood (e.g., R. Ingram, 1990 ; S. Nolen-Hoeksema, 1987 ). The goal of the current study was to further delineate gender differences in the correlates of self-focus as measured through the frequency of spontaneous use of self-referencing words. The frequency of such word use during a life history interview was correlated with self-reports, observations by clinically trained interviewers, and personality judgments by acquaintances. Results indicated that the relationship between self-reference and observations of depressive symptoms was stronger for women than men, and the relationship between self-reference and narcissistic authority and entitlement was stronger for men than for women. Acquaintance ratings supported these correlates. These findings illuminate the importance of using multiple measures and paying attention to gender differences in research on self-focus.     

A special relationship: Race, child study, and Rockefeller philanthropy

In 1928, the Laura Spelman Rockefeller Memorial granted funds to the University of Cincinnati to establish a child study and parent education program for African Americans. This paper traces the origin of the idea for this program to a special relationship between the family of John D. Rockefeller, Sr., and Spelman College, an African American women's college in Atlanta, Georgia. This relationship embodied Rockefeller's interest in women and children, in Baptist charities, in higher education (especially in the South), and race. The case study of this relationship addresses the larger question: To what purpose was the African American woman to be educated? © 2010 Wiley Periodicals, Inc.     

The Sense of Being Dead and of Dying: Some Perspectives

The present communication is made in response to a published study (Lester and Schumacher, 1969) which found no support for hypotheses that schizophrenic women might usefully be conceptualized as dying women, and that schizophrenics (men and women) would have more death themes in their TAT stories than non-schizophrenics. The present authors argue that there is no reason to expect schizophrenic women to feel like dying women, do present empirical data strongly supporting the notion of a relation between feelings of unreality and of deadness, and suggest reasons for Lester and Schumacher's failure to find schizophrenic-nonschizophrenic differences in TAT themes of death.