This report documents how one undergraduate student used set-based reasoning to reinvent logical principles related to conditional statements and their proofs. This learning occurred in a teaching experiment intended to foster abstraction of these logical relationships by comparing the predicate and inference structures among various proofs (in…

Learning trajectory (LT) research in mathematics education has shaped both instructional materials and assessments. But, the body of LT research has also been critiqued for not adequately considering equity and addressing student diversity. This study begins to fill this gap by characterizing the reasoning of 23 multilingual students who…

We propose a data driven method for decomposing population level learning curve models into mutually exclusive distinctive groups each consisting of similar learning trajectories. We validate this method on six knowledge components from the log data from an online tutoring system ASSISTment. Preliminary analysis reveals interpretable patterns of…

Although studies in higher education have paid attention to the complexities of learning disciplinary language and discourse, little attention has been given to learning professional discourse in a second language (L2). Recent studies on language socialization have addressed this gap by focusing on L2 students' emerging communicative competence in…

In 2019, the William and Flora Hewlett Foundation engaged SRI Education to "refresh" a 2007 study, published as "An Unfinished Canvas" (Woodworth et al., 2007). In 2022, SRI released "Creativity Challenge" (Woodworth et al., 2022). Both studies were commissioned to assess the status of arts education in California,…

Background/Context: Increasing evidence suggests a connection between racial differences in rates of exclusionary discipline (suspensions/expulsions) and academic achievement by (Losen & Martinez, 2020; Reardon et al., 2018). Black students receive out-of-school suspensions and expulsions at disproportionately higher rates, which is associated…

In adaptive learning systems, various models are employed to obtain the optimal learning schedule and review for a specific learner. Models of learning are used to estimate the learner's current recall probability by incorporating features or predictors proposed by psychological theory or empirically relevant to learners' performance. Logistic…

One frequently cited yet understudied channel through which money matters for college students is course availability--colleges may respond to budgetary pressure by reducing course offerings. Open admissions policies, binding class size constraints, and heavy reliance on state funding may make this channel especially salient at community colleges,…

We investigated how high school mathematics course placement contributes to inequalities in college preparation for students categorized as "English Learners" (ELs), especially "long-term" English Learners (LTELs). We devised a base-2 enumeration approach that allowed us to process complex transcript data from one school…

In this dissertation, I examine STEM fields' academic and occupational contexts in relation to the post-baccalaureate trajectories of US college graduates. In three empirical chapters focusing on STEM doctorate fields, STEM occupational fields, and these fields' changes over time, respectively, I pay particular attention to three demographic…

In February 2020, the Ministry of Education asked the New Zealand Council for Educational Research (NZCER) to examine the curriculum-levelling construct that sits at the heart of "The New Zealand Curriculum" (Ministry of Education, 2007) (NZC). A key goal of the research was to investigate, whether-- and if so, how--the construct helps…

Many factors influence students' experiences in upper secondary education and beyond, including upper secondary curricula, programme design and support for students. But a good transition from earlier levels of education is the first, essential step in a successful journey through upper secondary education and into further education and/or…

This report contains reliability and validity evidence for the North Carolina Kindergarten Entry Assessment system (KEA) using a statewide sample of kindergarten children. The KEA was designed as a formative, developmental, authentic, and criterion referenced classroom resource for teachers. As a formative assessment, the KEA focuses on the…

The following qualitative case study explored principal and teacher perceptions to offer instructional leaders an understanding of contextual factors that are believed to enhance the trajectories of at-risk students concurrent with and following their discontinuance of Reading Recovery. The insights from this research provide instructional leaders…

A huge portion of what we know about how humans develop, learn, behave, and interact is based on survey data. Researchers use longitudinal growth modeling to understand the development of students on psychological and social-emotional learning constructs across elementary and middle school. In these designs, students are typically administered a…