The Joint Operations of Teacher-Student and Peer Relationships on Classroom Engagement among Low-Achieving Elementary Students: A Longitudinal Multilevel Study.

Although both teacher-student relationship (TSR) and peer relationship (PR) have been found important for the development of students' classroom engagement, little research has been done regarding the joint operations of these two factors. Guided by a developmental systems framework, this study examined longitudinal between-person and within-person associations between TSR/ PR and classroom engagement in a sample of 784 low-achieving students in the first three years of elementary school. A multidimensional approach was used to distinguish positive and negative dimensions of TSR, as well as peer liking and disliking. At the between-person level, results showed that students' classroom engagement was positively predicted by positive TSR and PR liking and was negatively predicted by negative TSR and PR disliking. Both positive and negative TSR interacted with PR disliking at the between-person level, such that the associations between positive/negative TSR and classroom engagement were stronger for students with lower levels of PR disliking. At the within-person level, changes in classroom engagement were associated with contemporaneous year-to-year changes in positive/negative TSR and PR disliking. No within-person level interaction effects were found. Cross-level interaction showed that the effects of within-person negative TSR on classroom engagement were stronger for students with lower overall levels of PR disliking. Findings highlighted the importance of using a multilevel multidimensional approach to understand the joint operations of TSR and PR in the development of classroom engagement in low-achieving students in early elementary school.

Hedges, mottes, and baileys: Causally ambiguous statistical language can increase perceived study quality and policy relevance.

There is a norm in psychology to use causally ambiguous statistical language, rather than straightforward causal language, when describing methods and results of nonexperimental studies. However, causally ambiguous language may inhibit a critical examination of the study's causal assumptions and lead to a greater acceptance of policy recommendations that rely on causal interpretations of nonexperimental findings. In a preregistered experiment, 142 psychology faculty, postdocs, and doctoral students (54% female), ages 22-67 (M = 33.20, SD = 8.96), rated the design and analysis from hypothetical studies with causally ambiguous statistical language as of higher quality (by .34-.80 SD) and as similarly or more supportive (by .16-.27 SD) of policy recommendations than studies described in straightforward causal language. Thus, using statistical rather than causal language to describe nonexperimental findings did not decrease, and may have increased, perceived support for implicitly causal conclusions.

Girls' comparative advantage in language arts explains little of the gender gap in math-related fields: A replication and extension.

Women remain underrepresented in most math-intensive fields. [Breda and Napp, Proc. Natl. Acad. Sci. U.S.A. 116, 15435 (2019)] reported that girls' comparative advantage in reading over math (i.e., the intraindividual differences between girls' reading vs. math performance, compared to such differences for boys) could explain up to 80% of the gender gap in students' intentions to pursue math-intensive studies and careers, in conflict with findings from previous research. We conducted a conceptual replication and expanded upon Breda and Napp's study by using new global data (PISA2018, N = 466,165) and a recent US nationally representative longitudinal study (High School Longitudinal Study of 2009, N = 6,560). We coded students' intended majors and careers and their actual college majors. The difference between a student's math vs. reading performance explained only small proportions of the gender gap in students' intentions to pursue math-intensive fields (0.4 to 10.2%) and in their enrollment in math-intensive college majors (12.3%). Consistent with previous studies, our findings suggest girls' comparative advantage in reading explains a minority of the gender gap in math-related majors and occupational intentions and choices. Potential reasons for differences in the estimated effect sizes include differences in the operationalization of math-related choices, the operationalization of math and reading performance, and possibly the timing of measuring intentions and choices. Therefore, it seems premature to conclude that girls' comparative advantage in reading, rather than the cumulative effects of other structural and/or psychological factors, can largely explain the persistent gender gap in math-intensive educational and career choices.

Design and Analytic Features for Reducing Biases in Skill-Building Intervention Impact Forecasts.

Despite policy relevance, longer-term evaluations of educational interventions are relatively rare. A common approach to this problem has been to rely on longitudinal research to determine targets for intervention by looking at the correlation between children's early skills (e.g., preschool numeracy) and medium-term outcomes (e.g., first-grade math achievement). However, this approach has sometimes over-or under-predicted the long-term effects (e.g., 5th-grade math achievement) of successfully improving early math skills. Using a within-study comparison design, we assess various approaches to forecasting medium-term impacts of early math skill-building interventions. The most accurate forecasts were obtained when including comprehensive baseline controls and using a combination of conceptually proximal and distal short-term outcomes (in the nonexperimental longitudinal data). Researchers can use our approach to establish a set of designs and analyses to predict the impacts of their interventions up to two years post-treatment. The approach can also be applied to power analyses, model checking, and theory revisions to understand mechanisms contributing to medium-term outcomes.

The system of academic task values: The development of cross-domain comparisons of values and college major choice.

This study synthesizes theories of achievement motivation to better understand the development of academic task values in high school students and their relation to college major selection. We utilize longitudinal structural equation modeling to understand how grades relate to task values, how task values across domains relate to one another over time, and how the system of task values relates to college major choice. In our sample of 1,279 high students from Michigan, we find evidence that task value for math negatively relates to task value for English and vice versa. We also find that task value for math and physical science positively relates to the math-intensiveness of selected college majors, whereas English and biology task value negatively relates to math-intensiveness of majors. Gender differences in college major selection are mediated by differences in task values. Our findings have implications for theories of achievement motivation and motivational interventions. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

Developmental changes in students' use of dimensional comparisons to form ability self-concepts in math and verbal domains.

Dimensional comparisons (i.e., comparing own performances across domains) may drive an increasing differentiation in students' math and verbal self-concepts over time, but little longitudinal research has directly tested this assumption. Using cross-sequential data spanning Grades 1-12 (N = 1069, ages 6-18, 92% White, 2% Black, 51% female, collected 1987-1996), this study charted age-related changes in the role of dimensional comparisons in students' ability self-concept formation. It used three types of self-concept measures: peer comparisons, cross-domain comparisons, and no comparisons. Results indicated that the increase in students' use of dimensional comparisons in self-evaluations substantially contributed to the increasing differentiation in students' math and verbal self-concepts over time. Findings highlight the importance of dimensional comparisons in the development of students' ability self-concepts.

Triangulating on developmental models with a combination of experimental and nonexperimental estimates.

Plausible competing developmental models show similar or identical structural equation modeling model fit indices, despite making very different causal predictions. One way to help address this problem is incorporating outside information into selecting among models. This study attempted to select among developmental models of children's early mathematical skills by incorporating information about the extent to which models forecast the longitudinal pattern of causal impacts of early math interventions. We tested for the usefulness and validity of the approach by applying it to data from three randomized controlled trials of early math interventions with longitudinal follow-up assessments in the United States (Ns = 1,375, 591, 744; baseline age 4.3, 6.5, 4.4; 17%-69% Black). We found that, across data sets, (a) some models consistently outperformed other models at forecasting later experimental impacts, (b) traditional statistical fit indices were not strongly related to causal fit as indexed by models' accuracy at forecasting later experimental impacts, and (c) models showed consistent patterns of similarity and discrepancy between statistical fit and models' effectiveness at forecasting experimental impacts. We highlight the importance of triangulation and call for more comparisons of experimental and nonexperimental estimates for choosing among developmental models. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

A multilevel meta-analysis on the causal effect of approximate number system training on symbolic math performance.

We performed a meta-analysis of approximate number system (ANS) training studies to investigate the strength of the causal effects of practicing ANS related tasks on symbolic math performance. Across 33 effect sizes from 11 studies involving 754 participants, for which neither the treatment nor control group received symbolic training, we found a small nonsignificant and sensitive effect of ANS training on symbolic math task performance (g = .11, 95% confidence interval, CI [-.01, .22]; precision-effect estimate with standard errors (PEESE) adjusted g = -.04, 95% CI [-.58, .50]). Some heterogeneity was accounted for by participant age, with larger estimates for adults than for children. Estimates did not vary significantly by ANS training type, training duration, and control group type. An exploratory analysis on the transfer effects of ANS training on untrained nonsymbolic tasks suggests weak support for the key auxiliary assumption that ANS training has substantial effects on a general ANS, indicating that the training literature may not adequately represent theories of how ANS influences symbolic number performance. (PsycInfo Database Record (c) 2022 APA, all rights reserved).

Visual form perception is fundamental for both reading comprehension and arithmetic computation.

Visual perception has been found to be a critical factor for reading comprehension and arithmetic computation in separate lines of research with different measures of visual form perception. The current study of 1099 Chinese elementary school students investigated whether the same visual form perception (assessed by a geometric figure matching task) underlies both reading comprehension and arithmetic computation. The results showed that visual form perception had close relations with both reading comprehension and arithmetic computation, even after controlling for age, gender, and cognitive factors such as processing speed, attention, working memory, visuo-spatial processing, and general intelligence. Results also showed that numerosity comparison's relations with reading comprehension and arithmetic computation were fully accounted for by visual form perception. These results suggest that reading comprehension and arithmetic computation might share a similar visual form processing mechanism.

Spatial complexity of character-based writing systems and arithmetic in primary school: a longitudinal study.

Previous research has consistently found an association between spatial and mathematical abilities. We hypothesized that this link may partially explain the consistently observed advantage in mathematics demonstrated by East Asian children. Spatial complexity of the character-based writing systems may reflect or lead to a cognitive advantage relevant to mathematics. Seven hundered and twenty one 6-9-year old children from the UK and Russia were assessed on a battery of cognitive skills and arithmetic. The Russian children were recruited from specialist linguistic schools and divided into four different language groups, based on the second language they were learning (i.e., English, Spanish, Chinese, and Japanese). The UK children attended regular schools and were not learning any second language. The testing took place twice across the school year, once at the beginning, before the start of the second language acquisition, and once at the end of the year. The study had two aims: (1) to test whether spatial ability predicts mathematical ability in 7-9 year-old children across the samples; (2) to test whether acquisition and usage of a character-based writing system leads to an advantage in performance in arithmetic and related cognitive tasks. The longitudinal link from spatial ability to mathematics was found only in the Russian sample. The effect of second language acquisition on mathematics or other cognitive skills was negligible, although some effect of Chinese language on mathematical reasoning was suggested. Overall, the findings suggest that although spatial ability is related to mathematics at this age, one academic year of exposure to spatially complex writing systems is not enough to provide a mathematical advantage. Other educational and socio-cultural factors might play a greater role in explaining individual and cross-cultural differences in arithmetic at this age.