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.     

Predictors of suicidal ideation among "at risk" cocaine-using African American women

The focus of this study was to identify factors that differentiate women drug abusers who had experienced suicidal ideation from those who did not. Face-to-face interviews were conducted with 221 cocaine-using women in Atlanta, GA, 88 (39.8%) of whom reported thinking about committing suicide at least once during the 90 days prior to interview and 133 (60.2%) of whom did not. Multivariate logistic regression was used to identify predictors of suicidal ideation, and post hoc goodness-of-fit tests were conducted to assess the robustness of final models derived. Model 1 excluded all psychosocial functioning measures and Model 2 included these items. Both models showed that suicidal ideation was more common among women who were unemployed, had been abused sexually, engaged in sexual relations to cope with stresses, or had less helpful relatives. In addition, Model 1 revealed a heightened risk for women experiencing financial problems and those who had a previous mental health diagnosis, whereas Model 2 showed an elevated risk among women who experienced anxiety and those who had lower levels of self-esteem. These findings suggest the need for prevention and intervention programs that target at-risk women, and for such programs to include an emphasis on suicidal ideation in addition to focusing on risk factors that are addressed more commonly.     

Hypo-egoic self-regulation: exercising self-control by diminishing the influence of the self

Theory and research dealing with self-regulation have focused primarily on instances of self-regulation that involve high levels of self-reflection and effortful self-control. However, intentionally trying to control one's behavior sometimes reduces the likelihood of achieving one's goals. This article examines the process of hypo-egoic self-regulation in which people relinquish deliberate, conscious control over their own behavior so that they will respond more naturally, spontaneously, or automatically. An examination of spontaneously occurring hypo-egoic states (such as flow, deindividuation, and transcendence) suggests that hypo-egoic states are characterized by lowered self-awareness and/or an increase in concrete and present-focused self-thoughts. In light of this, people may intentionally foster hypo-egoism via two pathways-(a) taking steps to reduce the proportion of time that they are self-aware (such as repeating a behavior until it is automatic or practicing meditation) or (b) increasing the concreteness of their self-thoughts (such as inducing a concrete mindset or practicing mindfulness). In this way, people may deliberately choose to regulate hypo-egoically when effortful control might be detrimental to their performance.     

A decision theoretic and prototype conceptualization of possible selves: implications for the prediction of risk behavior

The present study explores a new framework for conceptualizing possible selves for the prediction of behavior. The framework uses decision theory, attitude theory, and classic expectancy-value models. The focus is on using possible-self constructs that (a) correspond to behavioral alternatives, (b) focus on self dimensions directly tied to the behavioral criterion, and (c) use expectancy-value constructs to assess the core features of a given possible self-dimension. A study of 305 college students was undertaken to predict alcohol use from possible self constructs using the framework. Results affirmed the utility of the approach, showing that possible-self constructs predicted behavior over and above current self-image and constructs in the Theory of Planned Behavior. Possible-self constructs associated with negative attributes of both binge drinkers and nonbinge drinkers were predictive of behavior.     

Within-modality and cross-modality attentional blinks in a simple discrimination task

Following up on studies of the "attentional blink," we studied interference between successive target stimuli in visual and auditory modalities. In each experiment, stimuli were two tones and four dots, simultaneously presented for 1,800 msec. Targets were brief intensity changes in either a tone or a dot. Subjects gave unspeeded responses. In four experiments, our results showed interference between targets in the same modality, but not across modalities. We conclude that, under our experimental conditions, restrictions in concurrent target identification are largely modality specific.     

EFFECTS OF TREATMENT INTEGRITY FAILURES DURING DIFFERENTIAL REINFORCEMENT OF ALTERNATIVE BEHAVIOR: A TRANSLATIONAL MODEL

Differential reinforcement of alternative behavior (DRA) is used frequently as a treatment for problem behavior. Previous studies on treatment integrity failures during DRA suggest that the intervention is robust, but research has not yet investigated the effects of different types of integrity failures. We examined the effects of two types of integrity failures on DRA, starting with a human operant procedure and extending the results to children with disabilities in a school setting. Human operant results (Experiment 1) showed that conditions involving reinforcement for problem behavior were more detrimental than failing to reinforce appropriate behavior alone, and that condition order affected the results. Experiments 2 and 3 replicated the effects of combined errors and sequence effects during actual treatment implementation.     

First graders' literacy and self-regulation gains: The effect of individualizing student instruction

We examined the effect of individualizing student instruction (ISI; N = 445 students, 46 classrooms) on first graders' self-regulation gains compared to a business-as-usual control group. Self-regulation, conceptualized as a constellation of executive skills, was positively associated with academic development. We hypothesized that the ISI intervention's emphasis on teacher planning and organization, classroom management, and the opportunity for students to work independently and in small groups would promote students' self-regulation. We found no main effect of ISI on self-regulation gains. However, for students with weaker initial self-regulation, ISI was associated with greater self-regulation gains compared to peers in control classrooms. The ISI effect on self-regulation was greater when the intervention was more fully implemented.