An eye for relations: eye-tracking indicates long-term negative effects of operational thinking on understanding of math equivalence

Prior knowledge in the domain of mathematics can sometimes interfere with learning and performance in that domain. One of the best examples of this phenomenon is in students’ difficulties solving equations with operations on both sides of the equal sign. Elementary school children in the U.S. typically acquire incorrect, operational schemata rather than correct, relational schemata for interpreting equations. Researchers have argued that these operational schemata are never unlearned and can continue to affect performance for years to come, even after relational schemata are learned. In the present study, we investigated whether and how operational schemata negatively affect undergraduates’ performance on equations. We monitored the eye movements of 64 undergraduate students while they solved a set of equations that are typically used to assess children’s adherence to operational schemata (e.g., 3 + 4 + 5 = 3 + __). Participants did not perform at ceiling on these equations, particularly when under time pressure. Converging evidence from performance and eye movements showed that operational schemata are sometimes activated instead of relational schemata. Eye movement patterns reflective of the activation of relational schemata were specifically lacking when participants solved equations by adding up all the numbers or adding the numbers before the equal sign, but not when they used other types of incorrect strategies. These findings demonstrate that the negative effects of acquiring operational schemata extend far beyond elementary school.     

Increased Error-Related Brain Activity in Six-Year-Old Children with Clinical Anxiety

Anxiety disorders are the most frequently diagnosed form of psychopathology in children and often result in chronic impairment that persists into adulthood. Identifying neurobehavioral correlates of anxiety that appear relatively early in life would inform etiological models of development and allow intervention and prevention strategies to be implemented more effectively. The error-related negativity (ERN), a negative deflection in the event-related potential at fronto-central sites approximately 50 ms following the commission of errors, has been consistently found to be larger among anxious adults. The current study sought to extend these findings to even younger individuals: the ERN was elicited by a Go/NoGo task in 48 six year-old children with a clinical anxiety disorder assessed by diagnostic interview and 48 age-matched controls. In addition to child anxiety disorder, the ERN was examined in relation to maternal history of anxiety disorder, which was previously related to a smaller ERN. Anxious children were characterized by a larger (i.e., more negative) ERN and maternal history of anxiety disorder was associated with a smaller ERN. Thus, the relationship between an increased ERN and clinical anxiety is evident by age 6, and this effect appears independent from an opposing influence of maternal anxiety history on the ERN. These findings support the ERN as a promising neurobehavioral marker of anxiety, and implications are discussed.     

Neighborhood Crime and School Climate as Predictors of Elementary School Academic Quality: A Cross-Lagged Panel Analysis

Past research has found negative relationships between neighborhood structural disadvantage and students’ academic outcomes. Comparatively little work has evaluated the associations between characteristics of neighborhoods and schools themselves. This study explored the longitudinal, reciprocal relationships between neighborhood crime and school-level academic achievement within 500 urban schools. Results revealed that higher neighborhood crime (and particularly violent crime) predicted decreases in school academic achievement across time. School climate emerged as one possible mechanism within this relationship, with higher neighborhood crime predicting decreases in socioemotional learning and safety, but not academic rigor. All three dimensions of school climate were predictive of changes in academic achievement. Although this research supports a primarily unidirectional hypothesis of neighborhoods’ impacts on embedded settings, additional work is needed to understand these relationships using additional conceptualizations of neighborhood climate.     

Processing ordinality and quantity: ERP evidence of separate mechanisms

We report an event-related potential (ERP) experiment of ordinal processing exploring the relationship between ordinal and numerical information.     

The Broaching Attitudes and Behavior Survey (BABS): An Exploratory Assessment of Its Dimensionality

The continuum of broaching behavior is a conceptual framework explicating how counselors broach or have explicit discussions about racial, ethnic, and cultural factors with their clients during treatment ( Day‐Vines et al., 2007 ). Counselors can assume 5 particular broaching orientations: avoidant, isolating, continuing/incongruent, integrated/congruent, and infusing. The authors operationalized the continuum of broaching behavior using the Broaching Attitudes and Behavior Scale and found support for a 4‐factor model of broaching behavior. El espectro de comportamiento de abordamiento es un marco conceptual que explica cómo los consejeros abordan o tienen discusiones específicas sobre factores raciales, étnicos y culturales con sus clientes durante el tratamiento ( Day‐Vines et al., 2007 ). Los consejeros pueden asumir 5 orientaciones de abordamiento particulares: evasiva, aislante, continua/incongruente, integrada/congruente e infundida. Los autores operativizaron el espectro de comportamiento de abordamiento usando la Escala de Actitudes de Abordamiento y Comportamiento y hallaron respaldo para un modelo del comportamiento de abordamiento de 4 factores.     

Supporting Universal Prevention Programs: A Two-Phased Coaching Model

Schools are adopting evidence-based programs designed to enhance students’ emotional and behavioral competencies at increasing rates (Hemmeter et al. in Early Child Res Q 26:96–109, 2011). At the same time, teachers express the need for increased support surrounding implementation of these evidence-based programs (Carter and Van Norman in Early Child Educ 38:279–288, 2010). Ongoing professional development in the form of coaching may enhance teacher skills and implementation (Noell et al. in School Psychol Rev 34:87–106, 2005; Stormont et al. 2012). There exists a need for a coaching model that can be applied to a variety of teacher skill levels and one that guides coach decision-making about how best to support teachers. This article provides a detailed account of a two-phased coaching model with empirical support developed and tested with coaches and teachers in urban schools (Becker et al. 2013). In the initial universal coaching phase, all teachers receive the same coaching elements regardless of their skill level. Then, in the tailored coaching phase, coaching varies according to the strengths and needs of each teacher. Specifically, more intensive coaching strategies are used only with teachers who need additional coaching supports, whereas other teachers receive just enough support to consolidate and maintain their strong implementation. Examples of how coaches used the two-phased coaching model when working with teachers who were implementing two universal prevention programs (i.e., the PATHS^® curriculum and PAX Good Behavior Game [PAX GBG]) provide illustrations of the application of this model. The potential reach of this coaching model extends to other school-based programs as well as other settings in which coaches partner with interventionists to implement evidence-based programs.     

Gender and age-related differences in attitudes toward traffic laws and traffic violations

The study examined gender and age-related differences in drivers’ normative motives for compliance with traffic laws and in gain–loss considerations related to driving. Two age groups of male and female students, totaling 181 respondents, completed a questionnaire measuring several normative motives for compliance with traffic laws, perceived gains and danger involved in the commission of traffic violations, and the frequency of committing various driving violations. The results show that younger drivers and male drivers express a lower level of normative motivation to comply with traffic laws than do female and older drivers. The lowest level of perceived importance of traffic laws relative to other laws was found among young male drivers. The commission of traffic violations was found to be related more to the evaluation of traffic laws among men and younger drivers, compared to women and older drivers. The perceived danger involved in the commission of a driving violation, however, was found to constitute much more of a factor among women than among men before the commission of traffic violations. Perceived gains involved in the commission of violations were more strongly pronounced among older drivers than among younger drivers. Results are discussed concerning different types of attitude–behavior relationships in the context of driving.     

Positive contrast obtained in reacquisition following interpolation of nonreinforced or partially reinforced trials

Two experiments investigated the effects of shifting from either nonreinforcement or partial reinforcement (PRF) to continuous reinforcement conditions (CRF). In the first experiment, three groups of rats were given food reinforcement under CRF conditions in a runway followed by regular extinction trials (RE), extinction trials where Ss were delayed for 30 sec before entering the empty goal box (DE), or CRF trials where Ss were delayed for 30 sec before entering the baited goal box (DF). Then all Ss were run on the delayed reinforcement condition (DF). In the final delayed reinforcement condition, group DE ran significantly faster than group DF, reflecting positive contrast. In the second experiment, four groups of rats were trained in a runway to receive either 4% or 18% sucrose reinforcers under either PRF or CRF conditions. Then all Ss were transferred to a Skinner box and bar presses were continuously reinforced, with each S continuing to receive the same sucrose concentration as before. The former PRF Ss, regardless of the reinforcer, bar pressed at a significantly higher rate in the Skinner box than the former CRF Ss. The evidence seemed to favor the view that the effectiveness of a reinforcer is not an absolute, unchanging quantity but rather depends on the historical context in which the reinforcer occurs.     

Difficulty and Degrees of Moral Praiseworthiness and Blameworthiness

In everyday life, we assume that there are degrees of blameworthiness and praiseworthiness. Yet the debate about the nature of moral responsibility often focuses on the “yes or no” question of whether indeterminism is required for moral responsibility, while questions about what accounts for more or less blameworthiness or praiseworthiness are underexplored. In this paper, I defend the idea that degrees of blameworthiness and praiseworthiness can depend in part on degrees of difficulty and degrees of sacrifice required for performing the action in question. Then I turn to the question of how existing accounts of the nature of moral responsibility might be seen to accommodate these facts. In each case of prominent compatibilist and incompatibilist accounts that I consider, I argue that supplementation with added dimensions is required in order to account for facts about degrees of blameworthiness and praiseworthiness. For example, I argue that the reasons‐responsiveness view of Fischer and Ravizza (1998) requires supplementation that takes us beyond even fine‐grained measures of degrees of reasons‐responsiveness in order to capture facts about degrees of difficulty (contrary to the recent attempt by Coates and Swenson (2013) to extend the reasons‐responsiveness view by appealing to such measures). I conclude by showing that once we recognize the need for these additional parameters, we will be in a position to explain away at least some of the appeal of incompatibilist accounts of moral responsibility.