Quinn, D. M., & Ho, A. D. (2021).
Ordinal Approaches to Decomposing Between-group Test Score Disparities.
Journal of Educational and Behavioral Statistics.
Publisher's VersionAbstractThe estimation of test score “gaps” and gap trends plays an important role in monitoring educational inequality. Researchers decompose gaps and gap changes into within- and between-school portions to generate evidence on the role schools play in shaping these inequalities. However, existing decomposition methods assume an equal-interval test scale and are a poor fit to coarsened data such as proficiency categories. This leaves many potential data sources ill-suited for decomposition applications. We develop two decomposition approaches that overcome these limitations: an extension of V, an ordinal gap statistic, and an extension of ordered probit models. Simulations show V decompositions have negligible bias with small within-school samples. Ordered probit decompositions have negligible bias with large within-school samples but more serious bias with small within-school samples. More broadly, our methods enable analysts to (1) decompose the difference between two groups on any ordinal outcome into portions within- and between some third categorical variable and (2) estimate scale-invariant between-group differences that adjust for a categorical covariate.
quinn-ho-ordinal-decomposition-jebs-2020.pdf Copur-Gencturk, Y., Thacker, I., & Quinn, D. M. (2021).
K-8 Teachers’ Overall and Gender-Specific Beliefs About Mathematical Aptitude.
International Journal of Science and Mathematics Education .
Publisher's VersionAbstractTeachers' beliefs play a significant role in students' academic attainment and career choices. Despite comparable attainment levels between genders, persistent stereotypes and beliefs that certain disciplines require innate ability and that men and women have different ability levels impede students' academic career paths. In this study, we examined the prevalence of U.S. mathematics teachers' explicit general and gender-specific beliefs about mathematical ability and identified which teacher characteristics were associated with these beliefs. An analysis of data from 382 K-8 teachers in the USA indicated that overall, teachers disagreed with the idea that general and gender-specific mathematical ability is innate, and agreed with the idea that hard work and dedication are required for success in mathematics. However, our findings indicate that those who believed mathematics requires brilliance also tended to think girls lacked this ability. We also found that teachers who were teaching mathematics to 11-to 14-year old students seemed to believe that mathematics requires innate ability compared with teachers who were teaching mathematics to 5-to 10-year-old students. In addition, more experienced teachers and teachers who worked with special education students seemed to believe less in the role of hard work in success in mathematics, which could have serious consequences for shaping their students' beliefs about their academic self-concept and future career-related decisions.