Educational Inequality Regimes amid Algebra-for-All: The Provision and Allocation of Expanding Educational Opportunities.

Schools can approach the task of sorting students to privileged learning opportunities in different ways, potentially creating distinct and durable educational inequality regimes. We test this idea by exploring variation in socioeconomic inequalities in advanced mathematics course-taking across California middle schools during a statewide algebra-for-all initiative. This case provides unique insight into local stratification processes since the state pressured schools to boost advanced course enrollments but provided little guidance about how to do so. We distinguish two critical organizational processes: the provision of different types of opportunities and the allocation of students to opportunities. The former, we argue, creates the potential for inequality; the latter determines what level of inequality is realized. Using panel data for all public middle schools in the state over a decade, we demonstrate a curvilinear association between opportunities and inequality, with disparities highest when opportunities are most differentiated. However, allocations at most schools were less unequal than would be expected under a test-based meritocratic allocation regime. Further, we find substantial school-level variation which is systematically related to organizational characteristics and consistent over time. These patterns provide evidence for local educational inequality regimes.

How can we inspire nations of learners? An investigation of growth mindset and challenge-seeking in two countries.

Here we evaluate the potential for growth mindset interventions (that teach students that intellectual abilities can be developed) to inspire adolescents to be "learners"-that is, to seek out challenging learning experiences. In a previous analysis, the U.S. National Study of Learning Mindsets (NSLM) showed that a growth mindset could improve the grades of lower-achieving adolescents, and, in an exploratory analysis, increase enrollment in advanced math courses across achievement levels. Yet, the importance of being a "learner" in today's global economy requires clarification and replication of potential challenge-seeking effects, as well as an investigation of the school affordances that make intervention effects on challenge-seeking possible. To this end, the present article presents new analyses of the U.S. NSLM (N = 14,472) to (a) validate a standardized, behavioral measure of challenge-seeking (the "make-a-math worksheet" task), and (b) show that the growth mindset treatment increased challenge-seeking on this task. Second, a new experiment conducted with nearly all schools in 2 counties in Norway, the U-say experiment (N = 6,541), replicated the effects of the growth mindset intervention on the behavioral challenge-seeking task and on increased advanced math course-enrollment rates. Treated students took (and subsequently passed) advanced math at a higher rate. Critically, the U-say experiment provided the first direct evidence that a structural factor-school policies governing when and how students opt in to advanced math-can afford students the possibility of profiting from a growth mindset intervention or not. These results highlight the importance of motivational research that goes beyond grades or performance alone and focuses on challenge-seeking. The findings also call attention to the affordances of school contexts that interact with student motivation to promote better achievement and economic trajectories. (PsycInfo Database Record (c) 2021 APA, all rights reserved).

Tournament Mobility in Mathematics Course-Taking Pathways.

This visualization represents the structure of mathematics course opportunities as seen in the progress through middle and high school for one cohort of students in Texas. Trajectories are consistent with a tournament mobility regime in which there are repeated opportunities to fall behind but almost none to catch up. Pathways are also characterized by staggered starts, with differences in when students begin the mathematics sequence that have consequences for ultimate attainment. The structure of mathematics opportunities provides many points where trajectories diverge, and these branching points disproportionately sort economically disadvantaged students into less advanced pathways.

A national experiment reveals where a growth mindset improves achievement.

A global priority for the behavioural sciences is to develop cost-effective, scalable interventions that could improve the academic outcomes of adolescents at a population level, but no such interventions have so far been evaluated in a population-generalizable sample. Here we show that a short (less than one hour), online growth mindset intervention-which teaches that intellectual abilities can be developed-improved grades among lower-achieving students and increased overall enrolment to advanced mathematics courses in a nationally representative sample of students in secondary education in the United States. Notably, the study identified school contexts that sustained the effects of the growth mindset intervention: the intervention changed grades when peer norms aligned with the messages of the intervention. Confidence in the conclusions of this study comes from independent data collection and processing, pre-registration of analyses, and corroboration of results by a blinded Bayesian analysis.

Reappraising academic and social adversity improves middle school students' academic achievement, behavior, and well-being.

The period of early adolescence is characterized by dramatic changes, simultaneously affecting physiological, psychological, social, and cognitive development. The physical transition from elementary to middle school can exacerbate the stress and adversity experienced during this critical life stage. Middle school students often struggle to find social and emotional support, and many students experience a decreased sense of belonging in school, diverting students from promising academic and career trajectories. Drawing on psychological insights for promoting belonging, we fielded a brief intervention designed to help students reappraise concerns about fitting in at the start of middle school as both temporary and normal. We conducted a district-wide double-blind experimental study of this approach with middle school students (n = 1,304). Compared with the control condition activities, the intervention reduced sixth-grade disciplinary incidents across the district by 34%, increased attendance by 12%, and reduced the number of failing grades by 18%. Differences in benefits across demographic groups were not statistically significant, but some impacts were descriptively larger for historically underserved minority students and boys. A mediational analysis suggested 80% of long-term intervention effects on students' grade point averages were accounted for by changes in students' attitudes and behaviors. These results demonstrate the long-term benefits of psychologically reappraising stressful experiences during critical transitions and the psychological and behavioral mechanisms that support them. Furthermore, this brief intervention is a highly cost-effective and scalable approach that schools may use to help address the troubling decline in positive attitudes and academic outcomes typically accompanying adolescence and the middle school transition.

Access to Effective Teachers and Economic and Racial Disparities in Opportunities to Learn.

This paper provides detailed description of students' access to one critical educational resource, teachers that effectively promote learning. Using large scale administrative data from North Carolina in grades 3-8 and value-added measures of effectiveness, I find disadvantages for poor, American Indian, African American, and Hispanic students, but disparities represent less than 2% of observed achievement gaps. Gaps are driven by differential risks of exposure to especially ineffective teachers, which occur between and within schools. The distribution of teacher-related learning opportunities therefore highlights White and higher SES students' advantaged access to important educational resources as well as apparent limits to those advantages.

Do Student Mindsets Differ by Socioeconomic Status and Explain Disparities in Academic Achievement in the United States?

Students from higher-socioeconomic status (SES) backgrounds show a persistent advantage in academic outcomes over lower-SES students. It is possible that students' beliefs about academic ability, or mindsets, play some role in contributing to these disparities. Data from a recent nationally representative sample of ninth-grade students in U.S. public schools provided evidence that higher SES was associated with fewer fixed beliefs about academic ability (a group difference of .22 standard deviations). Also, there was a negative association between a fixed mindset and grades that was similar regardless of a student's SES. Finally, student mindsets were a significant but small factor in explaining the existing relationship between SES and achievement. Altogether, mindsets appear to be associated with socioeconomic circumstances and academic achievement; however, the vast majority of the existing socioeconomic achievement gap in the U.S. is likely driven by the root causes of inequality.

Validating the SEDA Measures of District Educational Opportunities via a Common Assessment.

The Stanford Educational Data Archive (SEDA) is the first data set to allow comparisons of district academic achievement and growth from Grades 3 to 8 across the United States, shining a light on the distribution of educational opportunities. This study describes a convergent validity analysis of the SEDA growth estimates in mathematics and English Language Arts (ELA) by comparing the SEDA estimates against estimates derived from NWEA's MAP Growth assessments. We find strong precision-adjusted correlations between growth estimates from SEDA and MAP Growth in math (.90) and ELA (.82). We also find that the discrepancy between the growth estimates in ELA is slightly more pronounced in high socioeconomic districts. Our analyses indicate a high degree of congruence between the SEDA estimates and estimates derived from the vertically scaled MAP Growth assessment. However, small systematic discrepancies imply that the SEDA growth estimates are less likely to generalize to estimates obtained through MAP Growth in some states.

Self-Affirmation Effects Are Produced by School Context, Student Engagement With the Intervention, and Time: Lessons From a District-Wide Implementation.

Self-affirmation shows promise for reducing racial academic-achievement gaps; recently, however, mixed results have raised questions about the circumstances under which the self-affirmation intervention produces lasting benefits at scale. In this follow-up to the first district-wide scale-up of a self-affirmation intervention, we examined whether initial academic benefits in middle school carried over into high school, we tested for differential impacts moderated by school context, and we assessed the causal effects of student engagement with the self-affirming writing prompted by the intervention. Longitudinal results indicate that self-affirmation reduces the growth of the racial achievement gap by 50% across the high school transition ( N = 920). Additionally, impacts are greatest within school contexts that cued stronger identity threats for racial minority students, and student engagement is causally associated with benefits. Our results imply the potential for powerful, lasting academic impacts from self-affirmation interventions if implemented broadly; however, these effects will depend on both contextual and individual factors.

Do School Learning Opportunities Compound or Compensate for Background Inequalities? Evidence from the Case of Assignment to Effective Teachers.

Are equal educational opportunities sufficient to narrow long-standing economic and racial inequalities in achievement? In this paper, I test the hypothesis that poor and minority students benefit less from effective elementary school teachers than their non-poor and White peers, thus exacerbating inequalities. I use administrative data from public elementary schools in North Carolina to calculate value-added measures of teachers' success in promoting learning and assess benefits for different students. Results suggest that differential benefits of effective teachers uniquely exacerbate Black-White inequalities while not contributing to economic achievement gaps. Racial differences are small relative to the benefits for all groups on average, not explained by differences in prior achievement, and largest for low-achieving students. While teacher-related learning opportunities at school are crucial for all students, these differences point to a relative disconnect between typical school learning opportunities and low-achieving minority students.

School Opportunity Hoarding? Racial Segregation and Access to High Growth Schools.

Persistent school segregation may allow advantaged groups to hoard educational opportunities and consign minority students to lower-quality educational experiences. Although minority students are concentrated in low-achieving schools, relatively little previous research directly links segregation to measures of school quality based on student achievement growth, which more plausibly reflect learning opportunities. Using a dataset of public elementary schools in California, this study provides the first analysis detailing the distribution of a growth-based measure of school quality using standard inequality indices, allowing disparities to be decomposed across geographic and organizational scales. We find mixed support for the school opportunity hoarding hypothesis. We find small White and Asian advantages in access to high-growth schools, but most of the inequality in exposure to school growth is within racial groups. Growth-based disparities both between and within groups tend to be on a more local scale than disparities in absolute achievement levels, focusing attention on within-district policies to mitigate school-based inequalities in opportunities to learn.

New Evidence on Self-Affirmation Effects and Theorized Sources of Heterogeneity from Large-Scale Replications.

Brief, targeted self-affirmation writing exercises have recently been offered as a way to reduce racial achievement gaps, but evidence about their effects in educational settings is mixed, leaving ambiguity about the likely benefits of these strategies if implemented broadly. A key limitation in interpreting these mixed results is that they come from studies conducted by different research teams with different procedures in different settings; it is therefore impossible to isolate whether different effects are the result of theorized heterogeneity, unidentified moderators, or idiosyncratic features of the different studies. We addressed this limitation by conducting a well-powered replication of self-affirmation in a setting where a previous large-scale field experiment demonstrated significant positive impacts, using the same procedures. We found no evidence of effects in this replication study and estimates were precise enough to reject benefits larger than an effect size of 0.10. These null effects were significantly different from persistent benefits in the prior study in the same setting, and extensive testing revealed that currently theorized moderators of self-affirmation effects could not explain the difference. These results highlight the potential fragility of self-affirmation in educational settings when implemented widely and the need for new theory, measures, and evidence about the necessary conditions for self-affirmation success.