Substitution and sameness: two components of a relational conception of the equals sign

A sophisticated and flexible understanding of the equals sign (=) is important for arithmetic competence and for learning further mathematics, particularly algebra. Research has identified two common conceptions held by children: the equals sign as an operator and the equals sign as signaling the same value on both sides of the equation. We argue here that, in addition to these two conceptions, the notion of substitution is also an important part of a sophisticated understanding of mathematical equivalence. We provide evidence from a cross-cultural study in which English and Chinese children were asked to rate the "cleverness" of operational, sameness, and substitutive definitions of the equals sign. A principal components analysis revealed that the substitutive items were distinct from the sameness items. Furthermore, Chinese children rated the substitutive items as 'sort of clever' or 'very clever', whereas English children rated them as not so clever, suggesting that the notion of substitution develops differently across the two countries. Implications for developmental models of children's understanding of equivalence are discussed.     

Event-Related Potential Findings in Healthy Extremely Pre-Term (< Week 29) Children at Age 10

Ten healthy extremely pre-term (EPT) children, born before gestational week 29, were tested at age 10 using mismatch negativity (MMN) and a three-tone odd-ball task; the results were then compared to age-matched full-term controls. We found no difference in MMN. By contrast, EPT children had generally shorter N1 latencies and larger P2 amplitudes, possibly indicating a more stimulus-driven response mode. However, P300 parameters, indicative of controlled attention, were unaffected.     

Reduced ADHD symptoms in adults with ADHD after structured skills training group: results from a randomized controlled trial

Objective

Feasibility, acceptability, and efficacy of a Dialectical Behavioral Therapy (DBT) -based method developed in Germany were evaluated in a Swedish outpatient psychiatric context.

Method

Fifty-one adults with ADHD on stable medical treatment or on no medication were randomized to the DBT-based skills training (n = 26) or a parallel loosely structured discussion group (n = 25). Self-rating scales were administered before randomization and after the treatment.

Results

Feasibility and participant satisfaction were good in both groups while skills training was perceived as more logical and effective for ADHD-related problems. The analyses of the individuals who completed the treatment and remained stable with regard to medication (n = 19 in skills training; n = 18 in control group) showed a significant reduction in ADHD symptoms in the skills training group, but not in the control group. No reduction of comorbidity was observed in any of the groups.

Conclusions

The treatment was feasible in an outpatient psychiatric context, well tolerated, and significantly reduced ADHD symptoms in on-treatment individuals who remained stable regarding medication status.     

The role of immigrant acculturation preferences and generational status in determining majority intergroup attitudes

Two experiments (Ns = 220, 135) investigated the role of first and second generation immigrants' desire for Culture Maintenance and Intercultural Contact in affecting majority members' intergroup attitudes (2 × 2 × 2 design). Participants were presented with fictitious interviews through which immigrants' acculturation preferences and generational status were manipulated. Immigrants' desire for contact strongly affected host members' attitudes: those who were perceived to want contact elicited more favourable intergroup attitudes than those who did not. Desire for contact also moderated the relationship between immigrants' desire for culture maintenance and attitudes towards them: culture maintenance only stimulated favourable attitudes if the immigrant also expressed desire for contact. Immigrants' generational status and their desire for Culture Maintenance were found to interact, such that less favourable attitudes were shown towards second generation immigrants refusing their heritage culture. Psychological processes mediating these effects were investigated, finding evidence for symbolic threat, appreciation for multiculturalism and metastereotypes. Overall, the results suggest that both immigrants' generational status and acculturation attitudes should be taken into account when studying intergroup attitudes of dominant groups and in planning interventions for the improvement of intercultural relations.     

Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties

This study examined numerical magnitude processing in first graders with severe and mild forms of mathematical difficulties, children with mathematics learning disabilities (MLD) and children with low achievement (LA) in mathematics, respectively. In total, 20 children with MLD, 21 children with LA, and 41 regular achievers completed a numerical magnitude comparison task and an approximate addition task, which were presented in a symbolic and a nonsymbolic (dot arrays) format. Children with MLD and LA were impaired on tasks that involved the access of numerical magnitude information from symbolic representations, with the LA children showing a less severe performance pattern than children with MLD. They showed no deficits in accessing magnitude from underlying nonsymbolic magnitude representations. Our findings indicate that this performance pattern occurs in children from first grade onward and generalizes beyond numerical magnitude comparison tasks. These findings shed light on the types of intervention that may help children who struggle with learning mathematics.     

Oh, it's you again: memory interference from irrelevant emotional and neutral faces

In two experiments, repeated runs of a continuous recognition task were employed to assess healthy participants' ability to handle interference from irrelevant emotional and neutral memories. Presumably, such interference can be due to salience from either emotional or mnemonic processing. In both experiments, participants made more false alarms to emotional faces that were familiar from preceding runs (i.e., emotion-induced temporal-context confusion). Participants performed well for neutral faces in the first experiment including only two runs. However, increasing the number of runs to four in the second experiment induced temporal context confusion also for neutral faces. The findings suggest that memory interference can be induced when the salience of irrelevant information is erroneously considered diagnostic for memory judgements.     

Personal narratives about states of suffering and wellbeing: Children's conceptualization in terms of physical and psychological domain

The aim was to investigate how children conceptualize personal events of positive and negative valences pertaining to the physical and psychological domains. Five‐ to 9‐year‐olds narrated events referring to suffering states (Study 1, n = 112) and to suffering and wellbeing states (Study 2, n = 118). Analysis of the narratives revealed differences between the two states, with higher focus on events pertaining to a physical domain for suffering and to psychological domain for wellbeing; however, older children were more oriented toward psychological than physical events for both valences. Children showed higher tendency to produce causes compared to consequences, with younger children finding it difficult to introduce physical causes. Psychological suffering narratives revealed a richer psychological lexicon and more instances of domain coexistence. Asymmetry in the representation of different state valences and domains indicates multifaceted and developing conceptualization. Copyright © 2010 John Wiley & Sons, Ltd.     

The influence of confidence on associations among personal attitudes, perceived injunctive norms, and alcohol consumption

Social norms theories hold that perceptions of the degree of approval for a behavior have a strong influence on one's private attitudes and public behavior. In particular, being more approving of drinking and perceiving peers as more approving of drinking, are strongly associated with one's own drinking. However, previous research has not considered that students may vary considerably in the confidence in their estimates of peer approval and in the confidence in their estimates of their own approval of drinking. The present research was designed to evaluate confidence as a moderator of associations among perceived injunctive norms, own attitudes, and drinking. We expected perceived injunctive norms and own attitudes would be more strongly associated with drinking among students who felt more confident in their estimates of peer approval and own attitudes. We were also interested in whether this might differ by gender. Injunctive norms and self-reported alcohol consumption were measured in a sample of 708 college students. Findings from negative binomial regression analyses supported moderation hypotheses for confidence and perceived injunction norms but not for personal attitudes. Thus, perceived injunctive norms were more strongly associated with own drinking among students who felt more confident in their estimates of friends' approval of drinking. A three-way interaction further revealed that this was primarily true among women. Implications for norms and peer influence theories as well as interventions are discussed.     

Focused group therapy: An integrative approach

Focused Group Therapy (FGT) was developed within a research project on treatment for burned out patients on long-term sick leave. The core of FGT is to find and formulate an individual focus expressed in behavioural terms. This focus is then worked with in the here-and-now of the group therapy. It is argued that the use of common factors in group therapy, rather than a special technique, improves the clinical work. Thesupport factor in group therapy is understood in terms of cohesion, therapeutic alliance and goal-corrected empathic attunement. Thelearning factors that are stressed are the experience of being a part of a developing group, building on similarities instead of differences, affective communication and the implicit knowledge developed in new ways of dealing with interpersonal relations. Theaction factor is considered to consist of challenging interpersonal situations corresponding to the individual focus, which are mastered in the here-and-now of the group.