Education Department

Abstract: How do teachers develop and use political knowledge to create equitable and inclusive conditions for and with disabled students, particularly disabled students of color? In this essay, we build on concepts of political teacher knowledge in mathematics education, critical inclusive mathematics education and disability studies to explore teacher knowledges that support disabled students’ mathematical learning. We focus on four aspects of political knowledge for teaching mathematics: (1) knowledge as relational and unfolding over time, (2) understanding and negotiating the political contexts in which we teach mathematics, (3) deconstructing deficit discourses about marginalized students, and (4) learning to creatively resist the systems for and with our students. To develop our theoretical analysis, we use a counterstory of a middle school Latino student named Luis and his Latina mathematics teacher, Ms. Marquez. Our aim is to open up discussions in mathematics teacher educational research about the politics at play in teaching inclusive mathematics.

The two studies reported on in this paper examine the features of words that distinguish students’ performances on vocabulary assessments as a means of understanding what contributes to the ease or difficulty of vocabulary knowledge. The two studies differ in the type of assessment, the types of words that were studied, and the grade levels and population considered. In the first study, an assessment of words that can be expected to appear with at least moderate frequency at particular levels of text was administered to students in grades 2 through 12. The second study considered the responses of fourth- and fifth-grade students, including English learners, to words that teachers had identified as challenging for those grade levels. The effects of the same set of word features on students’ vocabulary knowledge were examined in both studies: predicted appearances of a word and its immediate morphological family members, number of letters and syllables, dispersion across content areas, polysemy, part of speech, age of acquisition, and concreteness. The data consisted of the proportion of students who answered an item correctly. In the first study, frequency of a word’s appearance in written English and age of acquisition predicted students’ performances. In the second study, age of acquisition was again critical but so too were word length, number of syllables, and concreteness. Word location (which was confounded by word frequency) also proved to be a predictor of performance. Findings are discussed in relation to how they can inform curriculum, instruction, and research.

U2AF1 is one of the most recurrently mutated splicing factors in lung adenocarcinoma and has been shown to cause transcriptome-wide pre-mRNA splicing alterations; however, the full-length altered mRNA isoforms associated with the mutation are largely unknown. To better understand the impact U2AF1 has on full-length isoform fate and function, we conducted high-throughput long-read cDNA sequencing from isogenic human bronchial epithelial cells with and without a U2AF1 S34F mutation. We identified 49,366 multi-exon transcript isoforms, more than half of which did not match GENCODE or short-read-assembled isoforms. We found 198 transcript isoforms with significant expression and usage changes relative to WT, only 68% of which were assembled by short reads. Expression of isoforms from immune-related genes is largely down-regulated in mutant cells and without observed splicing changes. Finally, we reveal that isoforms likely targeted by nonsense-mediated decay are down-regulated in U2AF1 S34F cells, suggesting that isoform changes may alter the translational output of those affected genes. Altogether, our work provides a resource of full-length isoforms associated with U2AF1 S34F in lung cells.

The term “hybrid” emerged as a common descriptor of pandemic-modified schooling configurations. Yet this umbrella term insufficiently captures the variations among hybrid models, particularly as it pertains to the structure of teacher workdays and related workload demands. Drawing on qualitative research documenting K–12 U.S. teachers’ experience teaching during COVID-19, this brief introduces and explicates three terms specifying structural hybrid models—parallel, alternating, and blended—and their implications for teachers’ work. Differentiating among the models facilitates future analysis of the implications of hybrid schooling for teacher and student experience. Initial analysis indicates teachers experienced one model, blended hybrid, as more challenging than others. This teacher perception highlights the need to discern among the three hybrid models more closely when analyzing schools’ responses to the pandemic. Differentiating among hybrid models may prompt future analysis of hybrid schooling for teacher workload and student learning.

How can school mathematics prepare citizens for a democratic society? Answers to this question are not static; they change as society and its problems change. The SARS-CoV-2 pandemic with its corresponding disease COVID-19 presents such a problem: what is needed to navigate this complex situation that involves, among other things, mathematics? Using the essay genre, we use three narratives from three countries-Italy, the USA (California), and Germany-to reflect on the goals of teaching mathematics during this crisis and examine aspects of each country's standards for mathematics education. These three stories are framed by the authors' backgrounds, experiences, interests, their country's situation, and response to the pandemic. We first present the three narratives and then examine common issues across them that might provide insights beyond this current crisis, for preparing students to become active citizens. In particular, we focus on three issues: (1) developing a positive mindset toward mathematics to engage with and reflect on real-world problems, (2) improving interdisciplinary connections to the sciences to better understand how science professional practices and insights are similar or different from everyday practices, and (3) considering interpersonal and collective matters beyond the individual.

Purpose: This article investigates how school leaders make sense of social justice and democracy in their practice in two settings, a high-stakes testing and accountability context, the San Francisco Bay Area, California, and a low-stakes testing and accountability context, Norway. It demonstrates how leaders view relationships among education, democracy, and social justice, when located in a neoliberal democracy with a minimalist welfare state or in a social democracy with a robust welfare state. Design and Evidence: Through a comparative design, we analyze qualitative data from two international principal exchanges designed to capture outsiders’ impressions of schools in each context. Participants included alumni from an American and a Norwegian university’s principal preparation programs. Through preobservation and postobservation interviews and focus groups, we explore observations by practitioners, who acted as coconstructors in the research. Findings and Implications: The article presents three findings: (1) While principals in both systems conceptualized equity similarly, their conceptions of democracy were aligned with the type of democracy in which they were embedded; (2) Schools’ norms, climate, structures, and leadership, as well as students’ daily lives, reflected the values implicit in their respective political contexts; (3) Principals perceived elements of their macro- and micro-level settings to enable or constrain their ability to craft democratic, socially just schools. These findings help scholars move beyond discourse about the need for leaders to advocate for equity, to deeper understandings about conditions that shape democratic schools, such as values about collectivism, welfarism, and the common good—tenets of a socially just civic society.