Pamela E. Davis-Kean

Early Predictors of High School Mathematics Achievement

Identifying the types of mathematics content knowledge that are most predictive of students’ long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students’ knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students’ knowledge of fractions and of division uniquely predicts those students’ knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

What’s Past Is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement

Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, and few have investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at 54 months to adolescent mathematics achievement using multisite longitudinal data. We find that preschool mathematics ability predicts mathematics achievement through age 15, even after accounting for early reading, cognitive skills, and family and child characteristics. Moreover, we find that growth in mathematical ability between age 54 months and first grade is an even stronger predictor of adolescent mathematics achievement. These results demonstrate the importance of prekindergarten mathematics knowledge and early math learning for later achievement.

A Meta-Analysis of Measures of Self-Esteem for Young Children: A Framework for Future Measures.

The objective of this study was to synthesize information from literature on measures of the self in young children to create an empirical framework for developing future methods for measuring this construct. For this meta-analysis, all available preschool and early elementary school self-esteem studies were reviewed. Reliability was used as the criterion variable and the predictor variables represented different aspects of methodology that are used in testing an instrument: study characteristics, method characteristics, subject characteristics, measure characteristics, and measure design characteristics. Using information from two analyses, the results indicate that the reliability of self-esteem measures for young children can be predicted by the setting of the study, number of items in the scale, the age of the children being studied, the method of data collection (questionnaires or pictures), and the socioeconomic status of the children. Age and number of items were found to be critical features in the development of reliable measures for young children. Future studies need to focus on the issues of age and developmental limitations on the complicated problem of how young children actually think about the self and what methods and techniques can aid in gathering this information more accurately.

What is a representative brain? Neuroscience meets population science

The last decades of neuroscience research have produced immense progress in the methods available to understand brain structure and function. Social, cognitive, clinical, affective, economic, communication, and developmental neurosciences have begun to map the relationships between neuro-psychological processes and behavioral outcomes, yielding a new understanding of human behavior and promising interventions. However, a limitation of this fast moving research is that most findings are based on small samples of convenience. Furthermore, our understanding of individual differences may be distorted by unrepresentative samples, undermining findings regarding brain–behavior mechanisms. These limitations are issues that social demographers, epidemiologists, and other population scientists have tackled, with solutions that can be applied to neuroscience. By contrast, nearly all social science disciplines, including social demography, sociology, political science, economics, communication science, and psychology, make assumptions about processes that involve the brain, but have incorporated neural measures to differing, and often limited, degrees; many still treat the brain as a black box. In this article, we describe and promote a perspective—population neuroscience—that leverages interdisciplinary expertise to (i) emphasize the importance of sampling to more clearly define the relevant populations and sampling strategies needed when using neuroscience methods to address such questions; and (ii) deepen understanding of mechanisms within population science by providing insight regarding underlying neural mechanisms. Doing so will increase our confidence in the generalizability of the findings. We provide examples to illustrate the population neuroscience approach for specific types of research questions and discuss the potential for theoretical and applied advances from this approach across areas.

Changes in the Relation of Self-Efficacy Beliefs and Behaviors Across Development

Many social science theories that examine the connection between beliefs and behaviors assume that belief constructs will predict behaviors similarly across development. Converging research implies that this assumption may not be tenable across all ages or all belief constructs. Thus, to test this implication, the relation between behavior and beliefs about the self was examined in 2 independent data sets with 2 different constructs: aggression and achievement. The respondents were 6-18 years of age and predominately Caucasian. Results using quasi-simplex structural equation models suggest that self-beliefs become more strongly related to behavior as children grow older independent of the reliability of the measures used. Possible limitations in the use of self-report methodology with young children are discussed.

Race/ethnic disparities in early childhood BMI, obesity and overweight in the United Kingdom and United States

Objective:Racial/ethnic patterning in the risk of obesity and overweight has been observed in early childhood; however, little research has compared these disparities between the United Kingdom (UK) and United States (US) using detailed ethnic classifications. We use comparable nationally representative cohort studies to examine racial/ethnic disparities in mean body mass index (BMI) and in the odds of obesity/overweight in the UK and US. The contribution of sociodemographic, cultural and family routine factors are assessed.Methods:Data on BMI, obesity and overweight in 5-year-old children from the MCS (Millennium Cohort Study) and ECLS-B (Early Childhood Longitudinal Study, Birth Cohort) were examined. We investigated race/ethnic disparities in mean BMI and in the odds of obesity and overweight, as compared to normal weight. We assessed the independent contribution of sociodemographic, cultural and family routine factors to observed disparities.Results:In the UK, after adjustment for sociodemographic, cultural and family routine factors and maternal BMI, we found Black Caribbean children to have higher odds ratio (OR=1.7, confidence interval (CI)=1.1–2.6), Pakistani children to have lower odds of obesity (OR=0.60, CI=0.37–0.96) and Black African children were more likely to be overweight (OR=1.40, CI=1.04–1.88). In the US, in fully adjusted models, there were no race/ethnic disparities in children’s odds of obesity and overweight.Conclusion:Disparities for Bangladeshi children in the UK and Mexican, other Hispanic and American Indian children in the US can be explained by socioeconomic disadvantage, whereas a range of cultural and family characteristics partially explain disparities for other groups in the UK. Future public health initiatives focused on reducing risk of overweight and obesity should consider the diverse socioeconomic and cultural profiles of all race/ethnic groups.

Healthy mind, healthy habits: The influence of activity involvement in middle childhood

There is growing evidence that participating in extracurricular and out-of-school activities during adolescence is associated with both short- and long-term indicators of positive development (e.g., Eccles & Barber, 1999; Eccles & Templeton, 2002; Mahoney, 2000). Yet, few researchers have questioned whether these relations are solely the result of activity participation during adolescence or if they are the culmination of a process that began in middle childhood. Middle childhood is marked by many physical, cognitive, social, and contextual changes. It is during this time that children develop multiple cognitive skills, such as reasoning and the ability to reflect on ones accomplishments, experiences, and aspirations. Childrens social worlds broaden as they begin to participate in organized out-of-school activities. The changes in childrens abilities and skills coupled with the new contexts in which children develop suggest that middle childhood is an important period for the development of skills and beliefs through participation in out-of-school activities. Although entry into adolescence and adulthood brings new abilities and interests, some of the benefits of adolescent participation may not be realized unless the groundwork is laid in middle childhood. There is little evidence available concerning developmental hypotheses about the reasons or mechanisms for these associations. Longitudinal studies over extended periods of time afford an opportunity to examine positive and negative consequences of participation based on activity characteristics as well as other potential influences such as parental encouragement or child talent.

The Selection of Children from Low-Income Families into Preschool.

Because children from low-income families benefit from preschool but are less likely than other children to enroll, identifying factors that promote their enrollment can support research and policy aiming to reduce socioeconomic disparities in education. In this study, we tested an accommodations model with data on 6,250 children in the Early Childhood Longitudinal Study-Birth Cohort. In general, parental necessity (e.g., maternal employment) and human capital considerations (e.g., maternal education) most consistently predicted preschool enrollment among children from low-income families. Supply side factors (e.g., local child care options) and more necessity and human capital factors (e.g., having fewer children, desiring preparation for school) selected such children into preschool over parental care or other care arrangements, and several necessity factors (e.g., being less concerned about costs) selected them into non-Head Start preschools over Head Start programs. Systemic connections and child elicitation did not consistently predict preschool enrollment in this population.

Trajectories of Achievement Within Race/Ethnicity: "Catching Up" in Achievement Across Time

ABSTRACT The achievement gap has long been the focus of educational research, policy, and intervention. The authors took a new approach to examining the achievement gap by examining achievement trajectories within each racial group. To identify these trajectories they used the Early Childhood Longitudinal Study–Kindergarten Cohort, which is a nationally representative sample of students in kindergarten through Grade 5. In the analyses, the authors found heterogeneity within each racial group in mathematics and reading achievement, suggesting that there are in fact achievement gaps within each race/ethnicity group. The authors also found that there are groups that catch up to the highest achieving groups by Grade 5, suggesting a positive impact of schooling on particular subgroups of children. The authors discuss the various trajectories that have been found in each racial group and the implications this has for future research on the achievement gap.

The Role of Mediators in the Development of Longitudinal Mathematics Achievement Associations

Despite research demonstrating a strong association between early and later mathematics achievement, few studies have investigated mediators of this association. Using longitudinal data (n = 1,362), this study tested the extent to which mathematics self-concepts, school placement, executive functioning, and proficiency in fractions and division account for the association between mathematics achievement in first grade and at age 15. As hypothesized, a strong longitudinal association between first-grade and adolescent mathematics achievement was present (β = .36) even after controlling for a host of background characteristics, including cognitive skills and reading ability. The mediators accounted for 39% of this association, with mathematics self-concept, gifted and talented placement, and knowledge of fractions and division serving as significant mediators.