Teacher Qualification Typologies and Their Relationship With the Math Achievement of Adolescents At Risk for Math Difficulties: A Latent Class Analysis Study

Abstract

This latent class analysis study used a bias-adjusted three-step approach to empirically identify mutually exclusive clusters of teacher professional qualifications based on commonly studied indicators of teacher quality. We then examined the relationship between cluster membership and the mathematics gains of adolescents at risk for mathematics difficulties (MD), including students with disabilities and those without disabilities. We identified students at risk for MD as those performing at or below the 25th percentile on the state exam. We empirically identified eight qualitatively distinct and interpretable teacher qualification clusters. Based on value-added models, we found that teachers in Cluster 5 had lower average math learning gains than their peers in clusters with the most experienced and credentialed teachers. Cluster 5 included teachers who were novice and early-career, traditionally prepared math majors. We observed significant effects for the end or grade scores for the middle grades but not the algebra scores of high school students, suggesting teacher cluster membership effects varied by grade level. We discuss limitations and offer implications for research and policy.

A Study on the Relationship between Ideological and Political Education and Mental Health Education Based on VAR Modeling

“…VAR model is an unstructured model, including multiple equations for the prediction of interconnected time series variable systems, with broad compatibility and statistical implications of the data, the existence of exogenous variables as the lagged value of the endogenous variables [21][22]. The VAR model is able to regress multiple sets of correlated time series, and it is applied to analyze the effect of a single random variable on ideological and political and mental health Education, the effect of the role of a single random variable on ideological and political and mental health education, to analyze the impact of mutual impact between time series, the expression of the model is:…”